Now that we know k is 3/2, we can use the formula to find the value of y when x is 14:
y = (3/2)(14) = 21
Therefore, when x = 14, y = 21.
What is a variable defined as?A variable is a number in mathematics that can change depending on the issue. Several statements and equations in mathematics use the generic letters x, y, and z. Or to put it another way, a variable is a symbol that denotes an unknowable numerical value. Assume that x + 5 = 10. The term "x" is used here.
Since y varies directly with x, we know that the ratio of y to x is constant. Let's call this constant k. Then we can write:
y = kx
To find k, we can use the first two rows of the table:
When x = 2, y = 3, so:
3 = k(2)
k = 3/2
When x = 10, y = 15, so:
15 = k(10)
k = 3/2 (which matches the previous calculation)
Now we can use k to find y when x = 14:
y = (3/2)(14) = 21
Therefore, when x = 14, y = 21.
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You need to solve a system of equations. You decide to use the elimination method.which of these is not allowed? 2x-3y=12 equation 1 and -x+2y=13 equation 2
The solution to the system of equations is x = 34.5, y = 19.
None of the operations that can be performed on these equations violate the rules of the elimination method, so they are all allowed.
To solve the system of equations using the elimination method, you can multiply equation 2 by 2 to obtain:
-2x + 4y = 26 (equation 2, multiplied by 2)
Then, you can add this equation to equation 1 to eliminate the x variable:
(2x - 3y) + (-2x + 4y) = 12 + 26
Simplifying and solving for y, you get:
y = 19
Substituting this value of y into either equation, you can solve for x:
2x - 3(19) = 12
2x - 57 = 12
2x = 69
x = 34.5
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Help Help Help Help Help Help (Just yes or no) I don’t need explanation
Answer:
Step-by-step explanation:
No.
When applying the CLT to define an interval within which we expect 95% of all sample means to fall we would use a z =
1.645
2.33
1.28
1.96
When applying the Central Limit Theorem (CLT) to define an interval within which we expect 95% of all sample means to fall, we would use a z-value of 1.96. This is because 95% of the area under a normal distribution curve falls within 1.96 standard deviations of the mean. Therefore, using a z-value of 1.96 will give us an interval that contains 95% of all sample means.
Here is a step-by-step explanation:
In conclusion, the correct answer is 1.96
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The measure of G is 125. What is the measure of the supplement of G
Answer:
55°
Step-by-step explanation:
supplementary angle sum to 180° , then supplement of G is
supplement = 180° - 125° = 55°
Determine the z-critical value associated with each of the following confidence intervals. Hint: Using the link to the tool provided, select two tails and find the z-score associated with a certain probability (area in tails) corresponding to a particular confidence interval. For instance for a 80% confidence interval you would enter in a 0.20 area or probability because that is the area in the two tails. You can leave the mean as 0 and standard deviation as 1 in the tool when calculating z- critical values. Each z-critical value is rounded to 2 decimal places. https://www.webassign.net/csalt/index.html#/toolset/distributions A) A 99% confidence interval B) A 95% confidence interval C) A 90% confidence interval D) An 80% confidence interval
A) the z-critical value associated with a 99% confidence interval is 2.58. B) the z-critical value associated with a 95% confidence interval is 1.96. C) the z-critical value associated with a 90% confidence interval is 1.64. D) the z-critical value associated with an 80% confidence interval is 1.28.
Describe z- critical value?The z-critical value (or the critical z-value) is the number of standard deviations from the mean that corresponds to a given level of significance in a two-tailed z-test. It is used in statistical hypothesis testing to determine whether to reject or fail to reject the null hypothesis.
A) For a 99% confidence interval, the area in each tail is (1-0.99)/2 = 0.005. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:
z-critical value = 2.58
Therefore, the z-critical value associated with a 99% confidence interval is 2.58.
B) For a 95% confidence interval, the area in each tail is (1-0.95)/2 = 0.025. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:
z-critical value = 1.96
Therefore, the z-critical value associated with a 95% confidence interval is 1.96.
C) For a 90% confidence interval, the area in each tail is (1-0.90)/2 = 0.05. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:
z-critical value = 1.64
Therefore, the z-critical value associated with a 90% confidence interval is 1.64.
D) For an 80% confidence interval, the area in each tail is (1-0.80)/2 = 0.10. Using the provided tool and selecting "two tails", we can find the z-critical value associated with this probability:
z-critical value = 1.28
Therefore, the z-critical value associated with an 80% confidence interval is 1.28.
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Desmond is curious about how many hours of TV his family watches each week. Upon asking his family members, he found that they watched 30 hours of TV last week versus 17.7 hours of TV this week.
12.3 hours or 12 hours and 18 minutes.
This suggests that Desmond's family has decreased their TV-watching time by 12.3 hours in the past week.
This can be expressed numerically as 12.3 hours, or 12 hours and 18 minutes.
To calculate this, we can subtract 17.7 hours from 30 hours:
Last week: 30 hours of TV
This week: 17.7 hours of TV
30 hours - 17.7 hours = 12.3 hours
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What is the left-hand limit of g(x)= |x-4|/x-4 as x approaches 4?
A. -1
B. 0
C. 1
D. 3
For given piecewise function, g(x)= |x-4|/x-4 when x approaches 4 the left-hand limit will be 0 i.e. B.
What exactly is a piecewise function?
A piecewise function is one that has multiple definitions in different x intervals. A piecewise function's graph is divided into parts that correspond to each of its definitions. A very excellent example of a piecewise function is the absolute value function. Let us investigate why it is thus named. We know that an absolute value function is defined as f(x) = |x|.
f(x)=(x if x≥0 ,
-x if x<0
This piecewise function should be interpreted as
When x is higher than or equal to 0, f(x) equals x.
When x is less than zero, f(x) equals -x.
Now,
when x will approach 0
given function will give value
g(x)=4-4/4-4
=0/0
=0
Hence,
for g(x)= |x-4|/x-4 when x approaches 4 the left-hand limit will be 0.
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For given piecewise function, g(x)= |x-4|/x-4 when x approaches 4 the left-hand limit will be 0 i.e. B.
What exactly is a piecewise function?
A piecewise function is one that has multiple definitions in different x intervals. A piecewise function's graph is divided into parts that correspond to each of its definitions. A very excellent example of a piecewise function is the absolute value function. Let us investigate why it is thus named. We know that an absolute value function is defined as f(x) = |x|.
f(x)=(x if x≥0 ,
-x if x<0
This piecewise function should be interpreted as
When x is higher than or equal to 0, f(x) equals x.
When x is less than zero, f(x) equals -x.
Now,
when x will approach 0
given function will give value
g(x)=4-4/4-4
=0/0
=0
Hence,
for g(x)= |x-4|/x-4 when x approaches 4 the left-hand limit will be 0.
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Find the value of X! Please help
The required value of X is 14
Antonio has 3 different colored shirts, he wants to share them with his 2 brothers. How many times can all 3 boys trade shirts without wearing them twice?
Answer:
6 times
HOPE THE ANSWER HELPS
A ring-shaped region is shown below. Its inner radius is 11 m. The width of the ring is 3 m. 11 m Find the area of the shaded region. Use 3.14 for л. Do not round your answer.
The area of the shaded region is 235.5 m².
What is the area of the shaded region?To find the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle.
The outer radius of the ring can be found by adding the width of the ring to the inner radius:
Outer radius = inner radius + width
= 11 m + 3 m
= 14 m
The area of a circle is given by the formula:
Area = π × (radius)²
Therefore, the area of the inner circle is:
Area of inner circle = π × (11 m)²
= 121π m²
And the area of the outer circle is:
Area of outer circle = π × (14 m)²
= 196π m²
To find the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle:
Area of shaded region = Area of outer circle - Area of inner circle
= 196π m² - 121π m²
= 75π m²
= 75 x 3.14
= 235.5 m²
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I'LL MARK THE BRAINLIEST
A car salesperson had $85,460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3,485 in commission from those sales combined.
What is the salesperson's commission as a percent of the total monthly sales?
Enter your answer, rounded to the nearest tenth of a percent, in the box.
Answer:2.2%
Step-by-step explanation: I took the test
NO LINKS!!! URGENT HELP PLEASE!!! NOT MULTIPLE CHOICE!!!!
1. You and a friend take a hot air balloon ride for Valentine's Day. The path of the balloon can be modeled by the equation b(h) = 2h - 1/115h^2 in feet per minute. Use this scenario to answer questions a - c.
a. How is the balloon ride?
b. What is the maximum height the balloon reaches?
c. When you have been on the ride for 180 minutes, what is the height of the balloon? (round your answer to the nearest foot)
Answer:
1.
a.
b. 115 feet.
c. 78.26feet.
Step-by-step explanation:
a.
some mathematical observations we can make about the path of the balloon based on the given equation:
The balloon's vertical velocity decreases as the balloon rises. This is because the second term in the equation, 1/115h^2, becomes larger and larger as h decreases, which causes the velocity to decrease.The balloon's vertical velocity is zero at two points: h = 0 and h = 230. At h = 0, the balloon is on the ground and has not yet started to rise, so its velocity is zero. At h = 230, the balloon has reached its maximum height and has stopped rising, so its velocity is also zero.The balloon's vertical velocity is positive when h is less than 115, and negative when h is greater than 115. This means that the balloon is rising when its height is less than 115, and descending when its height is greater than 115.The maximum height the balloon can reach is 115 feet, which occurs at h = 115. At this height, the balloon's velocity is 1.74 feet per minute.The balloon cannot fly below a certain height, which is the vertical asymptote at h = 0. This means that the balloon cannot go below the ground level.b. The maximum height of the balloon occurs at the vertex of the parabola described by the function b(h). We can find the height of the vertex by using the formula h = -b/(2a), where b and a are the coefficients of the linear and quadratic terms in the equation, respectively.
In this case, a = -1/115 and b = 2, so the height of the vertex is:
h = -b/(2a) = -2/(2(-1/115)) = 115 feet
Therefore, the maximum height the balloon reaches is 115 feet.
c. To find the height of the balloon after 180 minutes, we can substitute h = 180 into the equation b(h) and simplify:
b(180) = 2(180) - 1/115(180)^2 = 360 - 281.73≈ 78.26
Therefore, when you have been on the ride for 180 minutes, the height of the balloon is approximately78.26feet.
Answer:
a) The balloon ride is 230 minutes long.
b) The maximum height the balloon reaches is 115 m.
c) The height of the balloon at 180 minutes is 78 feet.
Step-by-step explanation:
Given quadratic equation:
[tex]b(h)=2h-\dfrac{1}{115}h^2[/tex]
Part aThe height of the balloon at the start and end of the balloon ride is zero feet. Therefore, to determine how long the balloon ride is, set the given quadratic equation to zero and solve for h.
[tex]\begin{aligned}\implies2h-\dfrac{1}{115}h^2&=0\\\\h\left(2-\dfrac{1}{115}h\right)&=0\\\\2-\dfrac{1}{115}h&=0\\\\\dfrac{1}{115}h&=2\\\\h&=230\end{aligned}[/tex]
Therefore, the balloon ride is 230 minutes long.
Part bTo determine the maximum height the balloon reaches, find the y-value of the vertex of the given quadratic equation.
The formula for the x-value of the vertex is -b/2a for a quadratic equation in the form y=ax²+bx+c. Therefore, the x-value of the vertex of the given equation is:
[tex]\implies -\dfrac{2}{2\left(-\frac{1}{115}\right)}=115[/tex]
To find the y-value of the vertex, substitute h = 115 into the given equation:
[tex]\begin{aligned}\implies b(115)&=2(115)-\dfrac{1}{115}(115)^2\\&=230-115\\&=115\; \sf ft\end{aligned}[/tex]
Therefore, the maximum height the balloon reaches is 115 ft.
Part cTo determine the height of the balloon when you have been on the ride for 180 minutes, substitute h = 180 into the equation:
[tex]\begin{aligned}\implies b(180)&=2(180)-\dfrac{1}{115}(180)^2\\\\&=360-\dfrac{6480}{23}\\\\&=78.260869...\\\\&=78\; \sf ft\end{aligned}[/tex]
Therefore, the height of the balloon at 180 minutes into the ride is 78 feet (rounded to the nearest foot).
( 20 points!!) \/ \/ \/ \/ \/ \/ \/ \/ \/ \/ simplify:
The value of the expression is -3/2, So correct option is A.
Describe Fraction?In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.
The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.
Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.
A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.
An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.
A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.
Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.
We can start by simplifying the expression inside the absolute value bars:
|1/6 - 3/4| = |(2/12) - (9/12)| = |-(7/12)| = 7/12
Now we can substitute this back into the original expression and simplify:
(7/4 - 8/3) - |1/6 - 3/4|
= (21/12 - 32/12) - 7/12 (converting fractions to have a common denominator)
= -11/12 - 7/12
= -18/12
= -3/2
Therefore, the value of the expression is -3/2.
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Answer:
What is Fraction ?
A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'.
A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.
An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.
A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.
Fractions are used in cooking, measuring, and financial calculations.
We can start by simplifying the expression inside the absolute value bars:
|1/6 - 3/4| = |(2/12) - (9/12)| = |-(7/12)| = 7/12
Now we can substitute
(7/4 - 8/3) - |1/6 - 3/4|
= (21/12 - 32/12) - 7/12 (converting fractions to have a common denominator)
= -11/12 - 7/12
= -18/12
= -3/2
Therefore, the value of the expression is -3/2.
Miss Chen bought X number of jerseys for the new members of the volleyball team the cost for the X number of jerseys including $3.99 shipping was $82.49 each jersey cost $15.70 there is no sales tax on this purchase.
Part A which equation can be used to find x,the total number of jerseys purchased?
A)3.99(x+15.70)=82.49
B)15.70x - 3.99 = 82.49
C)82.49-3.99 + 15.70=82.49
D)15.70x + 3.99 = 82.49
Part B using mathematical reasoning explain why the other three equations are incorrect.
Pazzi how many total jerseys in Ms Chen purchase. SHOW YOUR WORK
Answer:______ Shirts
The equation that can be used to find x, the number of jerseys is 82.49 = 15.70x + 3.99
The other three equations are incorrect because the equation should be represented by total cost equals cost of each shirt multiplied by number of jerseys plus shipping cost.
Ms Chen purchased 15 jerseys.
How to write equations?Cost of x jerseys including shipping = $82.49
Cost of shipping = $3.99
Cost of each jersey = $15.70
82.49 = 15.70x + 3.99
82.49 - 3.99 = 15.70x
78.50 = 15.70x
x = 78.50 / 5
x = 5
In conclusion, the number of jerseys bought is 5.
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Pleaase show your work ASAP
For given coordinates of a linear equation, the slope will be 3/4 i.e. B.
What is a linear equation, exactly?
When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.
and general equation of line is y=mx+c
where m=slope=y2-y1/x2-x1
Now,
Here given coordinates are , (-3,4) and (1/7)
then (x1,y1) and (x2,y2) are (-3,4) and (1/7) respectively
so slope=m=7-4/1-(-3)=3/4
Hence,
For given coordinates of a linear equation, the slope will be 3/4.
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Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
This shows that y is proportional to x with a constant of proportionality r.
Therefore, the constant of proportionality in the equation y = rx is r.
Which one of these is an equation?Two expressions joined by the equal sign constitute an equation, which is a statement in mathematics. An illustration of a formula is 3x - 5 = 16. After resolving this equation, we discover that the value of x is 7.
The given equation is y = rx.
To find the constant of proportionality, we can use the definition of proportionality, which states that two variables are proportional to each other if they have a constant ratio.
In this case, we can write:
y/x = r
This shows that y is proportional to x with a constant of proportionality r.
Therefore, the constant of proportionality in the equation y = rx is r.
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Two parallel lines are crossed by a transversal. What is the value of x? x = 40 x = 70 x = 110 x = 130.
If two parallel lines are crossed by a transversal, the value of x is option (b) x = 70 degrees
When two parallel lines are intersected by a transversal, eight angles are formed. Two of these angles are vertical angles, which are opposite angles that share the same vertex and are formed by the intersection of two lines.
Vertical angles are always congruent, meaning they have the same measure. This is a geometric property that is true regardless of the angle's degree measurement.
In this problem, one of the vertical angles is given to be 70 degrees. Therefore, the other vertical angle must also have a measure of 70 degrees. This means that the value of x, which is the measure of one of the vertical angles, is also 70 degrees.
So, correct option is (b) x = 70 degrees.
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The given question is incomplete, the complete question is:
Two parallel lines are crossed by a transversal. What is the value of x? a) x = 40 b) x = 70 c) x = 110 d) x = 130.
PLS HELP! Divide.
(x4 +14) = (x + 2)
x[²] + [ ]x² + [ ]x + [ +
x+2
please see the picture I but the answer on the top and the explanation in the bottom.
A rabbit starts at 0 along a number line and then makes three jumps. First the rabbit jumps 4 units, then 2 units, and finally makes a jump of 1 unit. We do not know the direction of any jump. Where on the number line can this rabbit be now?
The rabbit could be at any of these 8 points: 3, 5, 7, 9, 11, 13, 15, or 17.
What is number line?A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
here, we have,
to get the possible positions of the rabbit
The rabbit could be numerous positions, given that each jump can be either positive or negative.
The possible positions are solved as follows
The rabbit is at 10 + 4 + 2 + 1 = 17
The rabbit is at 10 + 4 - 2 + 1 = 13
The rabbit is at 10 - 4 + 2 + 1 = 9
The rabbit is at 10 - 4 - 2 + 1 = 5
The rabbit is at 10 + 4 + 2 - 1 = 15
The rabbit is at 10 + 4 - 2 - 1 = 11
The rabbit is at 10 - 4 + 2 - 1 = 7
The rabbit is at 10 - 4 - 2 - 1 = 3
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Determine the limit using what you know about special limits:
The limits represented by [tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right)[/tex] has its value to be 1/13
How to determine the limitsFrom the question, we have the following parameters that can be used in our computation:
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right)[/tex]
To determine the limits, we make use of the L'Hôpital's rule
Using the above as a guide, we have the following:
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \lim _{x\to 0}\left(\frac{\cos\left(x\right)}{13}\right)[/tex]
Substitute the known values in the above equation, so, we have the following representation
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \frac{\cos\left(0\right)}{13}\right)[/tex]
This gives
[tex]\lim _{x\to 0}\left(\frac{\sin\left(x\right)}{13x}\right) = \frac{1}{13}\right)[/tex]
Hence, the value is 1/13
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Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x) = 6/x, c = 1 Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x) = ln(x), c = 1 Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) f(x) = ex9/9
Answer:
Step-by-step explanation: sometimes it is hard to do in school because I'M and 15th-grade class and i got to take my time
Chuck works at the BuyMore where people can bring in broken computers. When a customer enters the store there is a good chance he will not be paid anything from helping them. But sometimes there is a chance he will be paid to work on their computer. The probability of each amount from a random customer is given in the following table: Job payment Probaiblity $8 0.42 $120 0.08 $300 0.05 $1,500 0.02 When the next person walks into the BuyMore, how much money can Chuck expect to get from them on average? Answer to two decimals $ 57.96 What is the probability he will get less than $283 from a random customer? Answer to four decimals What is the standard deviation for the payments from the customers? Answer to two decimals What is the median job payment amount? Answer to two decimals
The probability he will get less than $283 from a random customer is 0.93. 2. The standard deviation for the payments from the customers is 50678.88. 3. The median job payment amount is 120.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
The probability of 0 is given as:
p(0) = 1 - (0.42 + 0.08 + 0.05 + 0.02) = 0.43
1. The probability he will get less than $283 from a random customer:
p(x < 283) = p(0) + p(8) + p(120)
= 0.43 + 0.42 + 0.08
= 0.93
2. The standard deviation for the payments from the customers is:
E(x²) = ∑x²p(x) = (0)²(0.43) + (8)²(0.42) + (120)²(0.008) + (300)²(0.05) + (1500)²0.02
= 50678.88
3. The median job payment amount is 120.
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click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year.
The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.
What is the proof that three of any twenty-five, 25 days chosen must fall in the same month of the year as required in the task content?This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.
here, we have,
Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.
Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.
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I dont know how to solve this, can you please solve it for me?
Answer:0.047
Step-by-step explanation: This is actually easy you need to divide using long division and put the numbers of the division that you use to subtract and then you get the answer.
Suppose you are working on your taxes using a Microsoft Excel spreadsheet. Cell B3 shows the total amount of income tax you paid. Cell B2 shows the total amount of tax for which you are responsible. You want to write a formula that looks to see if the amount that you paid is greater than the amount that you were responsible for.
If it is, then subtract the amount you were responsible from the amount you paid and round this difference to the nearest whole number.
Otherwise, display zero
A. =IF(B3>B2, ROUND(B2 – B3, 0), 0)
B. =ROUND(IF(B3>B2, B3 – B2, 0), 0)
C. =IF(B3>B2, ROUND(B3 – B2, 0), 0)
D. =IF(B2>B3, ROUND(B3 – B2, 0), 0)
The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).
What is the use of IF and ROUND functions in Microsoft Excel?The IF and ROUND functions are two commonly used functions in Microsoft Excel. Here's a brief explanation of each:
IF Function:
The IF function allows you to test whether a certain condition is true or false, and then perform a specific action based on the result of that test. The basic syntax of the IF function is as follows:
=IF(logical_test, value_if_true, value_if_false)
Here, the "logical_test" is the condition that you want to test. If this condition is true, then Excel will return the "value_if_true". If the condition is false, Excel will return the "value_if_false".
For example, suppose you have a cell A1 that contains a number. You could use the IF function to test whether that number is greater than 10, and then return "Yes" if it is, and "No" if it isn't, using the following formula:
=IF(A1>10, "Yes", "No")
ROUND Function:
The ROUND function allows you to round a number to a specific number of decimal places. The basic syntax of the ROUND function is as follows:
=ROUND(number, num_digits)
Here, the "number" is the number that you want to round, and the "num_digits" is the number of decimal places to which you want to round. If the "num_digits" is positive, then the function will round to the specified number of decimal places to the right of the decimal point. If the "num_digits" is negative, then the function will round to the left of the decimal point.
For example, suppose you have a number in cell A1 that contains many decimal places, and you want to round it to two decimal places. You could use the ROUND function as follows:
=ROUND(A1, 2)
This will round the number in cell A1 to two decimal places.
Here,
The correct formula for this scenario is A. =IF(B3>B2, ROUND(B3 - B2, 0), 0).
This formula uses the IF function to check whether the amount paid (B3) is greater than the amount for which the person is responsible (B2). If this is true, then it subtracts the amount for which the person is responsible from the amount paid and rounds the difference to the nearest whole number using the ROUND function. If the amount paid is not greater than the amount for which the person is responsible, then the formula displays zero.
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Find the slope of the line that passes through the points (2, 7) and (8, 9).
Answer:
1/3 or 0.3 repeated
Step-by-step explanation:
The formula is y2 minus y1 over x2 minus x1.
It is going to look like this for you:
9 - 7
_____
8 - 2
You are going to get 2/6 as your answer, which is 1/3 or 0.3 repeated.
When using the number line you represent subtraction of a negative number with an arrow going to the ______.
PLS HELP IM SO CONFUSED
Answer:
When using the number line, you represent subtraction of a negative number with an arrow going to the right. The direction of the arrow indicates the movement of the number line towards the positive side, which is the opposite of the direction of a negative number. Subtraction of a negative number is equivalent to addition of a positive number, so the arrow going to the right represents the addition of the absolute value of the negative number. For example, if you are subtracting -5 from 10, you can represent this on a number line by starting at 10 and drawing an arrow to the right that goes 5 units, ending at 15.
Answer:
When using the number line to represent subtraction of a negative number, you would represent it with an arrow going to the right (or in the positive direction).
For example, let's say you want to represent the following subtraction on a number line:
5 - (-3)
You can start at 5 on the number line and then move to the left by 3 units, since you are subtracting a negative number. However, instead of leaving the arrow pointing to the left to represent the subtraction, you can turn it around and point it to the right, which is the positive direction. This means that you end up at a point that is 8 units to the right of 0 on the number line, which represents the answer of 8.
So, the arrow would go to the right to show the subtraction of a negative number on the number line.
The height
y
(in feet) of a ball thrown by a child is
y
=
−
1
14
x
2
+
6
x
+
5
where
x
is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand?
feet
(b) What is the maximum height of the ball?
feet
(c) How far from the child does the ball strike the ground?
feet
a) The ball is at 5 feet height when it leaves the child's hand
b) The maximum height of the ball is 131 feet
c) 84.825 ft far from the child, the ball strike the ground
What is a quadratic equation?
A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.
(a)
At the beginning when the ball leaves the hand of the child, the horizontal distance was 0, so putting x=0 we can get the height of the ball.
at time zero, t=0, the distance is 5 feet, so the ball is at 5 feet height
(b)
the max occurs at the average of the solutions, which is 28.
or -b/2a = -6/(2*-1/14) = -6/ (-1/7) = 42 ft
-(1/14)*42^2 +6*42 + 5 = 131
so the max height is 131 feet after 42 feet
(c)
(-1/14) x^2 + 6x + 5 =0
x^2 - 84x - 70 = 0 <--- after multiplied by -14
x = 84.825, x = -0.825
the ball will hit the ground at (56 + sqrt(3416)) / 2 = 84.825 ft
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Two numbers that multiply to -140 and add to -13
Answer:
Step-by-step explanation:
The two numbers that multiply to -140 also have to add to -13, so that means that the larger of the two numbers needs to be negative, and the other number positive.
7 x -20 = -140
7 - 20 = -13
let's define the simple events of selecting math majors as m1 and m2 and the events of selecting statistics majors as s1, s2, and s3. because two students are selected, the possible outcomes are all possible pairs of students. list the possible outcomes. (enter your answers as a comma-separated list.) m1m2, m1s1, m1s2, m1s3, m2s1, m2s2, m2s3,
The probability of rolling a 3 on a single six-sided die is 1/6, or 16.7%.
What is probability?Probability is a mathematical study of outcomes in uncertain situations it is used to describe the like would an event occurring and it can be expressed as a number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make a prediction about futures even probability theory is it of modern statistic and is widely used in fields such as financial economics and science.
Therefore, the probability of rolling at least one 3 when rolling two six-sided dice is 2 × 1/6, or 33.3%. This is because the probability of rolling a 3 on one die is independent of the probability of rolling a 3 on the other die. This means that the probability of rolling at least one 3 is equal to the sum of the probabilities of rolling a 3 on each of the two dice (1/6 + 1/6 = 2/6). As a result, the probability of rolling at least one 3 when rolling two six-sided dice is 33.3%.
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