Answer:
[tex]3.4x\le 100[/tex]
Step-by-step explanation:
Given that,
Michael is cutting a 100-yard ribbon into pieces 3.4 yards long.
Michael says that an inequality that represents his project is 3.4x 100.
Let Michael cuts the ribbon in x no of variables. It is given as :
3.4x is the total length of all the pieces together
i.e.
3.4x is less than or equal to 100.
The required equation that represents the given scanario is :
[tex]3.4x\le 100[/tex]
Answer:
Step-by-step explanation:
Sample Response: The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.
help me on this question please
Answer:
7 6/18
Step-by-step explanation:
Answer:
3.71851851852
Step-by-step explanation:
In the diagram ce=12 units and be=5 units based on the given information what is ae?
Answer:
AE = 12 units
Step-by-step explanation:
ce is the same unit as AE
Answer:
C: 12 units
Step-by-step explanation:
7. Use the facts and graph below to write the equation for g(x)
Step 1: Start with the equation f(x) = |x|. Write the equation for the graph of g(x) that has been stretched vertically by a factor of 2.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been reflected, or flipped, over the x-axis.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted down 3 units.
Step 4: Use the equation you wrote in Step 3. Write the equation for the graph of g(x) that has also been shifted right 1 unit.
9514 1404 393
Answer:
g(x) = 2|x|g(x) = -2|x|g(x) = -2|x| -3g(x) = -2|x -1| -3Step-by-step explanation:
1. Multiplying the function by a constant stretches the graph by that constant. Here, you want a stretch factor of 2, so you have ...
g(x) = 2f(x) = 2|x|
__
2. Negating a function causes its graph to be reflected over the x-axis. That makes your second function look like ...
g(x) = -2|x|
__
3. Subtracting 3 from the function value shifts its location on a graph down by 3 units. Your third function will be ...
g(x) = -2|x| -3
__
4. Subtracting a constant from the x-value causes the graph of the function to be shifted right by that amount. Here you want a right shift of 1 unit, so your function is ...
g(x) = -2|x -1| -3
Answer:
the other users is correct, sorry I was going to answer until i saw it was already but it wouldn't let me of the screen
Step-by-step explanation:
I need help please!:D
Answer:
18
Step-by-step explanation:
Divide 252 by 14 and you will get 18 and if you substitute x or the number you need to find, 18 x 14 = 252. Hope this helps.
Simplify the following expression.
?
9t2 + 7t + 4 - 2t2 + 5t
Answer:
I'm assuming the 2 after 9t and -2t means squared.
7t² + 12t + 4
Step-by-step explanation:
To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.
Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²
Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t
4 doesn't have any like terms so we leave it as it is.
Lastly we add all of our terms: 7t² + 12t + 4
Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal place. If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)
Points Scored by Lynn Points scored in a basketball game Frequency
2 10
3 9
9 10
11 7
12 3
15 4
16 3
Answer: Mean = 7.8
Median = 9
Mode = 2,9
Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:
[tex]E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}[/tex]
E(X) = 7.8
Mean for the given frequency distribtuion is 7.8.
Median is the central term of a set of numbers. Median in a frequency table is calculated as:
1) Find total number, n:
n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46
2) Find position, using: [tex]\frac{n+1}{2}[/tex]
[tex]\frac{n+1}{2}=\frac{47}{2}[/tex] = 23.5
Median is in the 23.5th position.
3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9
Median for this frequency distribution is 9.
Mode is the number or value associated with the highest frequency.
In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.
Mode for this distribution is 2 and 9.
Following are the calculation of mean, median, and modes:
Given value:
[tex]\bold{x \ \ \ \ \ \ f} \\\\ 2\ \ \ \ \ 10 \\3\ \ \ \ \ 9\\9 \ \ \ \ \ 10\\11\ \ \ \ \ 7\\12 \ \ \ \ \ 3\\15 \ \ \ \ \ 4\\16 \ \ \ \ \ 3\\[/tex]
To find:
mean, median, and modes=?
Solution:
[tex]\bold{x \ \ \ \ \ \ f \ \ \ \ \ \ cf \ \ \ \ \ \ fx} \\\\2\ \ \ \ \ 10 \ \ \ \ \ 10 \ \ \ \ \ 20 \\3\ \ \ \ \ 9 \ \ \ \ \ 19 \ \ \ \ \ 27 \\9 \ \ \ \ \ 10\ \ \ \ \ 29 \ \ \ \ \ 90 \\11\ \ \ \ \ 7\ \ \ \ \ 36 \ \ \ \ 77 \\12 \ \ \ \ \ 3\ \ \ \ \ 39 \ \ \ \ 36\\15 \ \ \ \ \ 4\ \ \ \ \ 43 \ \ \ \ 60\\16 \ \ \ \ \ 3\ \ \ \ \ 46 \ \ \ \ 48 \\[/tex]
[tex]\Sigma f = 46 \ \ \ \ \ \ \ \ \ \ \Sigma fx= 358[/tex]
Calculating the Mean:
[tex]Mean=\frac{\Sigma fx}{\Sigma f}[/tex]
[tex]=\frac{358}{46}\\\\= 7.78[/tex]
Calculating the Median:
[tex]n= \Sigma f= 46[/tex]
[tex]Median=\frac{ (\frac{n}{2})^{th} +(\frac{n}{2} +1)^{th}}{ 2}[/tex]
[tex]=\frac{ (\frac{46}{2})^{th} +(\frac{46}{2} +1)^{th}}{ 2}\\\\=\frac{ (23)^{th} +(24)^{th}}{ 2}\\\\=\frac{ 3 +3}{ 2}\\\\=\frac{ 6}{ 2}\\\\=3[/tex]
Calculating the Mode:
Mode is the value of 'x' with the highest frequency is 10 for x= 2 and x=9 therefore, the mode is "2,9".
Learn more:
brainly.com/question/14015029
An object has a density of 40 g/cm
and a volume of 50 cm? What is
cm
the mass of the object?
Answer:
80
Step-by-step explanation:
1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. a) Construct a 95% confidence interval estimate for the mean sodium level. b) Construct a 99% confidence interval estimate for the mean sodium level.
Answer:
The 95% confidence interval is [tex] 101.13 < \mu < 104.87 [/tex]
The 99% confidence interval is [tex] 100.54 < \mu < 105.46 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 110
The sample mean is [tex]\= x = 103 \ mg[/tex]
The population standard deviation is [tex]\sigma = 10 \ mg[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 10 }{\sqrt{110} }[/tex]
=> [tex]E =1.8688 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]103 - 1.8688 < \mu < 103 + 1.8688 [/tex]
=> [tex] 101.13 < \mu < 104.87 [/tex]
Considering question b
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 10 }{\sqrt{110} }[/tex]
=> [tex]E =2.4599 [/tex]
Generally 99% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]103 - 2.4599 < \mu <103 + 2.4599 [/tex]
=> [tex] 100.54 < \mu < 105.46 [/tex]
How can you determine the domain of a sine function?
Answer:
Step-by-step explanation:
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
If integral subscript C subscript 1 end subscript F with rightwards arrow on top times d r with rightwards arrow on top equals 6 and integral subscript C subscript 2 end subscript F with rightwards arrow on top times d r with rightwards arrow on top equals 13, find A. the line integral where C is the path from P to Q over C subscript 1 and then back to P over C subscript 2. integral subscript C F with rightwards arrow on top times d r with rightwards arrow on top equals _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
To my best understanding, you're given that
[tex]\displaystyle\int_{C_1}\vec F\cdot\mathrm d\vec r=6\text{ and }\int_{C_2}\vec F\cdot\mathrm d\vec r=13[/tex]
where C₁ and C₂ are some arbitrary paths, evidently starting at the point P and ending at the point Q, and you have to find the value of
[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r[/tex]
where C is the path consisting of C₁ (from P to Q) and the reverse of C₂ (from Q back to P). So we have
[tex]\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{C_1}\vec F\cdot\mathrm d\vec r - \int_{C_2}\vec F\cdot\mathrm d\vec r = 6-13 = \boxed{-7}[/tex]
What is the area of the triangle? Make me brainlest pleas
Answer:
i looked it up
Step-by-step explanation:
micheal clean 45 cars in 5 days. How many cars does Micheal clean per day
Answer:
9
Step-by-step explanation:
I divided 45 by 5 and got 9
Answer:
9
Step-by-step explanation:
45 divided by 5 means, split 45 into 5 groups. Which should get you 9 cars per day.
In simplest form, what is the quotient of 1 = ?
Answer:
Do u mind reposting ur question-? I dont quite undersatnd what u're asking ;-;
Step-by-step explanation:
The area of a rectangle is 216 inches squared. The ratio of the length to width is 3:2. Find the length and the width
Answer:
Length = 18 inches
Width = 12 inches
Step-by-step explanation:
Let the Length be 3x and width be 2x
Area= Length*Width=216 inches squared
216=3x*2x
216=6x²
x²=216/6
x²=36
x=√36
x=6 inches
Therefore
Length = 3x = 3*6 = 18 inches
Width = 2x = 2*6 = 12 inches
The price of a pair of sunglasses was reduced from $55 to $33. By what
percentage was the price of the sunglasses reduced?
Answer:
166.6% (put a little line over the LAST 6.)
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100.
Answer:
60%
Step-by-step explanation:
33×100=3300÷55=60
60%×55=33
What is the nature of roots of x- 9x = 20 ?
a. nonreal
b. real, rational, and equal
c. real, rational, and unequal
d. real, irrational, and unequal
Answer:
Option C
Step-by-step explanation:
To find the nature of the roots we use the Discriminant formula which is:
[tex]D=b^2-4ac[/tex]
and given the equation and compare with the standard quadratic equation
[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]
Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula
[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]
Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the the Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's value is a whole number then it is rational and so 161 has a square roots in points which is
[tex]D=\sqrt{161} \\D=12.6885[/tex]
So our answer is real , irrational and unequal which is Option C
Which best describes a system of equations that has no solution?
-consistent, independent
-inconsistent, dependent
-consistent, dependent
-inconsistent
thank you for your help
Answer: inconsistent
Step-by-step explanation:
a function is shown f(x) = 2/3x +3 what is the value of f (6)?
Answer:
The answer is 28/9
Step-by-step explanation:
Step one
Given information
We are given that the function is
[tex]f(x) = 2/3x +3[/tex]
And we are expected to find f(6), that is substitute the value of x with 6
Step two:
[tex]f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9[/tex]
Given the problem below what mistake did Bob make in solving the equation? Bob and his friends paid $30 for 3 sandwiches and and 3 bottles of water.
-Each sandwich cost the same amount.
-The bottles of water cost $1.50 each.
The equation 3(x + 1.50) = 30 can be used to determine x, the cost of each sandwich. Bob solved the equation using these steps: 3(x + 1.50) =30
3x + 1.50 = 30
3x = 28.50
x = 9.50
Answer:
Bob forgot to distribute 3 to 1.50 in the parentheses
Step-by-step explanation:
Bob made the mistake in his first step.
In the equation 3(x + 1.50) = 30, the 3 has to be distributed to both x and 1.50.
But, Bob only distributed it to x, which led him to get the wrong answer.
So, Bob's mistake when solving was that he forgot to distribute the 3 to 1.50
Kevin walked a total of 14.98 miles last week. He walked the same distance each of the 7 days. How many miles did Kevin walk each day?
Answer:
2.14?
Step-by-step explanation:
(I'm not good at explaining, but I THINK its 2.14)
6. $80 is divided between Ethan and Michael such
that one quarter of Ethan's share is equal to one
sixth of Michael's share. How much does each of
them receive?
Answer:
it could be 32 if im correct
Step-by-step explanation:
Answer:
32 is correct........
Oleg and Anya drew these models to help them find the difference of 3/4 and 1/2.
Answer:
C
Step-by-step explanation:
Oleg is correct because the least common denominator of both is 4, so each must have 4 peices
Ronnie records the number of chirps per minute (x) that crickets make at different temperatures(Y ) in degree Fahrenheit. he determines that the association is linear and that the line of best fit is Y=1/6x+60.what is the interpretation of the slope and y intercept of this question?
Answer:
Step-by-step explanation:
Given
[tex]y = \frac{1}{6}x + 60[/tex]
Required
Interpret the slope and y intercept
The general form of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m=slope[/tex]
[tex]b = y\ intercept[/tex]
By comparison
[tex]m = \frac{1}{6}[/tex]
[tex]b = 60[/tex]
Interpretation:
Slope represents rate and y intercept represents the number of chirps at time 0.
So, the interpretations are:
Slope: The cricket chirps at a rate of [tex]\frac{1}{6}[/tex] chirps per minute
y intercept: The initial number of chirps is 60
lin tried to reflect triangle ABC across line t. She knows somthing is wrong because the image isnt congruent to the original figure in the end result
1: what is one idea that lin probably understands about reflections?
2:what is one idea that lin doesnt understand about reflections?
3:Reflect triangle ABC correctly
Answer:
it is the repition image of something, how its made, i dont know the last one.
Step-by-step explanation:
An urn contains 6 red balls, 8 green balls, and 10 white balls. If balls are selected one by one (without replacing them after they are selected) what is the probability that at least two balls must be selected in order to get a green ball. g
Answer:
0.43478
Step-by-step explanation:
From the information given:
[tex]The \ required \ probability = P(1st ball = red) \times P(2nd ball = red) + P(1st ball = red) \times P(2nd ball = white) + P(2nd ball = red) \times P(1st ball = white) + P(1st ball = white) \times P(2nd ball = white)[/tex]
[tex]= \dfrac{6}{6+8+10}\times \dfrac{5}{5+8+10} + \dfrac{6}{6+8+10} \times \dfrac{10}{5+8+10} + \dfrac{10}{6+8+10} \times \dfrac{6}{5+8+10} \times \dfrac{10}{6+8+10} \times \dfrac{9}{5+8+9}[/tex]
[tex]=(\dfrac{6}{24}\times \dfrac{5}{23})+ (\dfrac{6}{24}\times \dfrac{10}{23}) +( \dfrac{10}{24}\times \dfrac{6}{23} ) + (\dfrac{10}{24}\times \dfrac{9}{23})[/tex]
= 0.05434782609 + 0.1086956522 + 0.1086956522 + 0.1630434783
= 0.4347826088
≅ 0.43478
Help me please ASAP PLEASEEEE
Answer:
1 ,3,4
Step-by-step explanation:
Answer:
1, 4 and 5
Step-by-step explanation:
sorry if im wrong
4x – 4y = -16
please help find the y value
Answer: y=x+4
Step-by-step explanation:
if you need to find the y
we divide the equation by 4
x-y=-4
add y on both sides
y=x+4
Use the relashonships between the angles to find the value of x
Answer: and I oop skssss
Step-by-step explanation:
How many minutes are not spent on instructions?
Answer: 1/5
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 48 minutes!
What is the degree of 24x?
Answer:
one
Step-by-step explanation:
