The average height of every fifth member of the varsity football team was 5'11
I need help for this is for tomorrow
When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? Never When the correlation coefficient is close to -1 or +1. When the correlation coefficient is equal to -1 or +1. When the scatterplot of the data has little vertical variation.
Never. Correlation does not imply causation. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect.
Correlation is a measure of the relationship between two variables. It is used to measure how two variables move together. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect. This is because correlation does not imply causation. A correlation coefficient close to -1 or +1 is an indication of a strong linear relationship between the two variables, but this does not necessarily imply a cause-and-effect relationship. Additionally, even if the scatterplot of the data has little vertical variation, this does not guarantee a cause-and-effect relationship. In summary, correlation coefficients based on observational studies can never be used to support a claim of cause and effect.
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Bonjour,
Pouvez vous m'aider s'il vous plait, c’est pour m’expliquer ceci: Il faut montrer que pour tout n de N, Un+1-Un=1/3(n+3-Un)
Je voudrais savoir comment on fait pour obtenir ceci: Un+1-Un= 2/3Un+1/3n+1 =-1/3Un+1/3n+1 =1/3(n+3-Un) Je ne comprends pas à partir de la 2eme ligne. Merci d’avance ^^
Bonjour !
Pour obtenir la deuxième ligne de l'équation que vous avez donnée, on peut tout simplement développer le terme Un+1 en utilisant la définition de Un+1 donnée par la relation de récurrence :
Un+1 = 2Un + 1/3(n+1)
En remplaçant Un+1 dans l'expression Un+1 - Un, on obtient :
Un+1 - Un = (2Un + 1/3(n+1)) - Un
On simplifie l'expression en combinant les termes similaires :
Un+1 - Un = 2Un - Un + 1/3(n+1)
Un+1 - Un = Un + 1/3(n+1)
Maintenant, pour obtenir la troisième ligne de l'équation, on peut factoriser Un - Un+1 en utilisant le signe moins :
Un - Un+1 = - (Un+1 - Un)
Un - Un+1 = - (Un+1 - 2Un - 1/3(n+1))
Un - Un+1 = - (-2Un - Un+1 - 1/3(n+1))
Un - Un+1 = 2/3Un + 1/3(n+1) - 1/3Un - 2/3Un - 1/3(n+1)
On simplifie à nouveau en combinant les termes similaires :
Un - Un+1 = -1/3Un + 1/3(n+1)
Enfin, pour obtenir la quatrième ligne de l'équation, on utilise l'associativité de l'addition pour regrouper les termes :
Un - Un+1 = -1/3Un + 1/3(n+1)
Un - Un+1 = 1/3(n+1) - 1/3Un
Un - Un+1 = 1/3(n+3 - Un)
J'espère que cela vous aide à comprendre la démonstration de cette relation de récurrence. N'hésitez pas à me poser d'autres questions si vous en avez besoin !
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Intro
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Which functions could represent a reflection over the y-
axis of the given function? Check all that apply.
g(x)=-(4)
Og(x)=0.5(4)*
□ g(x) = 2(4)
□ g(x)=1/(²
□ g(x)=1/(2*
4
Dons
the reflection of the given function will be f(-x) = 0.5 4⁻ˣ and the graph of this function is attached below.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, a function as shown in the graph:
To reflect a function over the y-axis we use the rule:
f(-x) reflects the graph of f(x) over the y-axis. In other words, to reflect f(x) over the y-axis, we just need to replace x with -x.
Let's find f(x) first using the standard exponential growth function:
f(x) = a( 1 + b )ˣ
From our graph, we can infer that f(x) = 1/2 when x =0, so let's replace those values in our function:
f(x) = a( 1 + b )ˣ
1/2 = a(1 +b)⁰
a = 1/2
We can also infer that f(x) = 8 when x =2. Since we already know that a = 1/2, let's replace the values to find and complete our function:
f(x) = a( 1 + b )ˣ
8 = 1/2(1 +b)²
4 = 1+b
b = 3
So putting it all together:
f(x) = 1/2( 1 + 3 )ˣ
Finally, we can apply the reflection rule to find the reflection over the y-axis:
f(-x) = 1/2(4)⁻ˣ
f(-x) = 0.5 4⁻ˣ
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A cone with a volume 1,780.38 and a height of 7. What is the radius
Answer:
15.585 is the radius of the cone
a rectangle of 24 1/2 sqaure feet if the length of the rectangle is 4 3/8 feet what is the width in feet
A rectangle of 24 1/2 sqaure feet if the length of the rectangle is 4 3/8 feet, and the width of the rectangle is 4 feet.
What is the area of the rectangle?
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
To find the width of the rectangle, we can use the formula for the area of a rectangle:
Area = Length x Width
We are given that the area of the rectangle is 24 1/2 square feet and the length is 4 3/8 feet. Substituting these values into the formula, we get:
24 1/2 = 4 3/8 x Width
To solve for the width, we can first convert both mixed numbers to improper fractions:
24 1/2 = 49/2
4 3/8 = 35/8
Substituting these values, we get:
49/2 = 35/8 x Width
To solve for Width, we can cross-multiply:
49/2 * 8/35 = Width
Simplifying, we get:
4 = Width
Therefore, the width of the rectangle is 4 feet.
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Which phase of the development process is where the most thorough testing
happens?
A. production
B. para-production
C. Opre-production
D. post-production
D. Post-production is the phase of the development process is where the most thorough testing happens.
What is the Phase of development:A phase of the development process is a distinct stage or step in the process of developing a software or product, from the initial idea or concept to the final delivery or deployment.
Each phase of the development process has a specific objective, and each phase typically requires the completion of certain activities or tasks before the development can progress to the next phase.
The phase of testing:
In this phase, the system or product is thoroughly tested to ensure that it meets all requirements and quality standards. This includes various types of testing such as unit testing, integration testing, system testing, acceptance testing, and user acceptance testing.
Post-production is the phase of the development process that occurs after the product or software has been developed and is ready for release. During this phase, thorough testing is performed to ensure that the product or software is functioning as intended and meets all quality standards.
Therefore,
D. Post-production is the phase of the development process is where the most thorough testing happens.
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Find the lengths of g, h, and j. Round answers to the nearest tenth.
The sides of the given right triangle are:
g = 33.80
h = 31.20
j = 13
What is a triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.
The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.
Using the small triangle, we can find the value of j.
By Pythagoras theorem,
j² = 12² + 5² = 144 + 25 = 169
j = 13
Now using trigonometric relation we can find the angle ∅ between j and 5.
sin ∅ = 12/13 = 0.923
∅ = sin ⁻¹ (0.923) = 67.37°
This angle is common for both triangles.
So for large triangle,
tan 67.37 = h/j = h/13
2.4 = h/13
h = 31.2
By Pythagoras theorem,
g² = h² + j² = 31.2² + 13² = 1142.44
g = 33.8
Therefore the sides of the given right triangle are:
g = 33.80
h = 31.20
j = 13.
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what is integral of cos?
The indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.
The integral of cos(x) is sin(x) + C, where C is the constant of integration.
The notation for the integral of cos(x) is ∫cos(x) dx, where the symbol ∫ represents the integral sign, cos(x) is the function being integrated, and dx represents the variable of integration, which in this case is x.
The antiderivative of cos(x) is sin(x), meaning that if we take the derivative of sin(x), we get cos(x). The constant of integration, C, is added because the derivative of a constant is always zero.
Therefore, the indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.
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mr. davis made lbs of granola snacks for his coffee breaks. he eats lb each day. for how many days will this last?
Mr. Davis' granola snacks will last for 20 days.
What is division ?
Division is a basic arithmetic operation used to find the quotient or the number of times one quantity is contained within another. In division, a dividend is divided by a divisor, and the result is the quotient. For example, 12 divided by 3 is 4, where 12 is the dividend, 3 is the divisor, and 4 is the quotient.
Division is the inverse operation of multiplication. If you know the multiplication facts, you can use them to help you divide numbers. For instance, if you know that 5 times 6 equals 30, then you also know that 30 divided by 5 equals 6, and that 30 divided by 6 equals 5.
According to given conditions:
To find out how many days Mr. Davis' granola snacks will last, we need to divide the total amount of granola by the amount he eats each day.
Let's say Mr. Davis made 10 lbs of granola snacks.
He eats 0.5 lb each day.
So we can use the formula:
Number of days = Total amount of granola / Amount eaten each day
Number of days = 10 lbs / 0.5 lb per day
Number of days = 20 days
Therefore, Mr. Davis' granola snacks will last for 20 days.
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pls help will give brainly
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 42, 44, 50, 54, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which value does 50% of the data lie above, and what is it called?
54, the upper quartile
44, the lower quartile
50, the median
42, the median
Answer:
The answer is 50, the median. The median is the value where 50% of the data lie above and below.
Federico makes 60% of the free throw shots he takes in basketball. Federico is fouled, and he is in a one-and-one shooting situation meaning that he only gets a second free throw shot if he makes his first one. Each free throw shot is worth one point. What is the probability that Federico scores one point in this situation?
Answer:
So the probability that Federico scores one point in this situation is 84%.
Step-by-step explanation:
The probability that Federico makes his first shot is 60%, so the probability that he misses it is 40%. If he misses his first shot, he doesn't get a second one, so the probability of scoring one point in this situation is the probability of making the first shot (60%) plus the probability of missing the first shot and making the second one (40% x 60%), which is:
0.60 + 0.24 = 0.84
So the probability that Federico scores one point in this situation is 84%.
What is this in standard form?
Answer: y = 0.1x^2 - 0.8x + 1.2
hope this helped
what is parabola equation calculator
A parabola equation calculator is an online tool used to find the equation of a parabola based on its vertex and focus points, or other given parameters.
A parabola equation calculator is a type of math calculator used to find the equation of a parabola based on certain given parameters. These parameters could include the vertex and focus points, the directrix, or the x- or y-intercepts. By inputting these parameters into the calculator, users can obtain the equation of the parabola, which is a quadratic function in the standard form y = ax² + bx + c.
Parabolas are widely used in physics and engineering applications, such as the trajectory of a projectile, the shape of a satellite dish, or the design of a parabolic solar collector.
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help me
Which product are greater than 2 and 5\6?
every other answer has it as a select all that apply but mine only has one option
The product of the fraction, 6 and 2/6 is greater.
What is a fraction?A fraction is expressed as p/q, where q is equal to 0.
Proper fractions, in which the numerator is less than the denominator, and improper fractions, in which the numerator is higher than the denominator, are the two sorts of fractions.
Given, Are the product of two fractions, First one is 2 and 5/6 which is,
= (5/6)×2.
= 10/6.
= 5/3.
The second product is, 6 and 2/6 which is,
= 5×(2/6).
= 12/6.
= 2.
So, The product of 6 and 2/6 is greater.
Q. Which products are greater than 2 and 5\6 or 5 and 2/6?
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A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses 18π m³ 18 pi, m³ 80π m³ 80 pi, m³ 160π m³ 160 pi, m³ 800π m³
The exact volume of a cylinder with a radius of 10 m and a height of 8 m is 800π m³. This can be calculated using the formula for the volume of a cylinder, which is V = πr²h. (option 4)
In that, r is the radius and h is the height of the cylinder. In this case, r = 10 m and h = 8 m, so the volume can be calculated as V = π(10 m)²(8 m) = 800π m³.
To calculate this volume, we first use the formula for the volume of a cylinder, which states that the volume is equal to πr²h, where r is the radius and h is the height of the cylinder. In this case, the radius of the cylinder is 10 m and the height is 8 m, so the volume can be calculated as
V = π(10 m)²(8 m) = 800π m³.This is the exact volume of the cylinder.
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Complete Question:
A cylinder has a radius of 10 m and a height of 8 m. what is the exact volume of the cylinder? responses
18π m³80π m³ 160π m³ 800π m³f(x)
A
6
X
-8
6
8
Which of the given functions could this graph represent?
OA. f(t) = (x - 1)(x - 2)(x + 1)(x + 2)
O B. f(x) = x(x - 1)(1 + 1)
Oc. /(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
OD. (r) = x(x - 1)(x - 2)
The correct answer is option C. f(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
Explanation:
To determine the correct answer, we need to look at the zeros of the given functions and compare them to the zeros shown on the graph. The zeros of a function are the values of x that make the function equal to zero. These are also the points where the graph of the function crosses the x-axis.
Option A: f(t) = (x - 1)(x - 2)(x + 1)(x + 2)
The zeros of this function are x = 1, x = 2, x = -1, and x = -2.
Option B: f(x) = x(x - 1)(x + 1)
The zeros of this function are x = 0, x = 1, and x = -1.
Option C: f(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
The zeros of this function are x = 0, x = 1, x = 2, x = -1, and x = -2.
Option D: f(r) = x(x - 1)(x - 2)
The zeros of this function are x = 0, x = 1, and x = 2.
Comparing the zeros of these functions to the zeros shown on the graph, we can see that option C is the correct answer. The graph shows zeros at x = 0, x = 1, x = 2, x = -1, and x = -2, which are the same zeros as the function f(x) = x(x - 1)(x - 2)(x + 1)(x + 2).
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mark is earning money by mowing lawns over the summer. The function y=40x represents the total nunber of dollars Mark earns, y, depending on the number of lawns he mows, x. what is true about the function
The true statement about the function y = 40x is that it is a linear function
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
y = 40x
The given function is y = 40x, which represents the total number of dollars Mark earns depending on the number of lawns he mows.
Here are some properties of the function:
The function is a linear function, which means that it has a constant rate of change. For every additional lawn mowed, Mark earns an additional $40.The function has a slope of 40, which is the coefficient of x. This means that for every additional lawn mowed, the total earnings increase by $40.The y-intercept of the function is 0, which means that if Mark doesn't mow any lawns, he doesn't earn any money.Read more about linear relation at
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what is log base 2 calculator
A log base 2 calculator calculates the logarithm of a number with respect to base 2.
A tool that helps in calculating a number's logarithm in relation to base 2 is a log base 2 calculators. A base must be increased to the logarithm, or exponent, in order to yield a given number.
The base in this situation is 2, and the exponent to which 2 must be increased in order to equal the supplied number is the logarithm. The base-2 logarithm offers a measure of the number of bits necessary to express a particular amount, making it important in computer science, information theory, and other fields that need computations involving binary integers.
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a 25 foot ladder is leaned against the side of a building 2 feet from the base of the building. how far up the wall does the ladder reach and what is the angle of elevation for the ladder both to the nearest tenth?
Answer:
The ladder reaches up to 23.2 feet up the side of the building and the angle of elevation is 78.7 degrees to the nearest tenth. To calculate these values, you can use the Pythagorean Theorem. Let x be the distance the ladder reaches up the wall, and let y be the distance from the base of the building to where the ladder is leaning against the wall. Then, the Pythagorean Theorem states that x2 + y2 = 252, or x2 = 252 - y2. Since y = 2, then x2 = 252 - 22 = 676. Solving for x gives us x = 26, so the ladder reaches up to 26 feet. To calculate the angle of elevation, we can use trigonometry. We know that the opposite side is 26 feet and the adjacent side is 2 feet, so by using the tangent function, we can calculate the angle of elevation as tan-1(26/2) = 78.7 degrees.
how to calculate magnitude of vector
The magnitude of the vector is calculated by using the formula √((c-a)²+(d-b)²) where A(a,b) and B(c,d) are point on the plane.
A vector is any quantity that has a magnitude as well as directiom and that also follows the vector law of addition.
Let us say that there are any two points on the co-ordinate plane A(a,b) and B(c,d).
Now the magnitude of the vector AB can be found by using the formula,
AB = √((c-a)²+(d-b)²)
and the direction of this vector will be from A to B on the coordinate plane. If we want to find direction, then it is given by, tab A = (d-b)/(c-a)
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Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.the perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation
Answer:
Step-by-step explanation:
3q+7=40
3q=40-7
3q=33
q=11
Therefore, the required equation for this problem will be 3q+7=40.
Thank you
What is the conversion of 13 cm to inch ?
The value of centimeter to inches can be calculated by simply by dividing the length value by 2.54 so 13 cm to 5.118 inches.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
You've also come to the right place if you've been wondering how many inches are in 13 centimetres or how many inches are in 13 centimetres.
On our website, inches are denoted by "in" or "′′, while centimetres are always written as cm.
You must divide 13 centimetres by 2.54 to get the answer in inches.
Hence, in inches, the comparable height, width, or length is:
13 cm equals 5.11811 inches.
13 cm is equal to 5.11811 inches.
5.11811 inches in 13 cm.
13 cm in inches: 13/2.54 = 5.11811 inches is the conversion factor for 13 cm.
You can convert 13 inches to centimetres here.
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Students in a poetry class are writing poems for their portfolios. The teacher wants them to write stanzas with certain numbers of lines each. Megan wrote 10 short stanzas and 2 long stanzas, for a total of 98 lines. Sebastian wrote 3 short stanzas and 7 long stanzas, for a total of 87 lines. How many lines do the two sizes of stanzas contain?
Found that a short stanza contains 8 lines and a long stanza contains 9 lines.
What is linear equation ?
A linear equation is an equation that describes a straight line in a two-dimensional coordinate system. The general form of a linear equation is:
y = mx + b
Explanation:
Let's use "s" to represent the number of lines in a short stanza and "l" to represent the number of lines in a long stanza.
From the problem, we know that Megan wrote 10 short stanzas and 2 long stanzas, for a total of 98 lines. This can be written as the equation:
10s + 2l = 98
We also know that Sebastian wrote 3 short stanzas and 7 long stanzas, for a total of 87 lines. This can be written as the equation:
3s + 7l = 87
We want to find the values of s and l that satisfy both of these equations. We can use algebra to solve for s and l.
Multiplying the first equation by 3, we get:
30s + 6l = 294
Multiplying the second equation by 2, we get:
6s + 14l = 174
Now we can add the two equations together to eliminate the variable s:
30s + 6l + 6s + 14l = 468
Simplifying and rearranging, we get:
36s + 20l = 468
Dividing both sides by 4, we get:
9s + 5l = 117
Now we have a new equation that relates the values of s and l that satisfy both sets of stanzas. We can use this equation along with one of the original equations to solve for either s or l.
Let's use the first equation, 10s + 2l = 98. We can solve for s in terms of l:
10s + 2l = 98
10s = 98 - 2l
s = (98 - 2l)/10
Now we can substitute this expression for s into the equation 9s + 5l = 117:
9[(98 - 2l)/10] + 5l = 117
Simplifying and solving for l, we get:
l = 9
Now we can substitute this value of l back into either of the original equations to solve for s. Using the first equation:
10s + 2l = 98
10s + 2(9) = 98
10s = 80
s = 8
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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students at random who have already taken the exam. The students are enrolled in a six-week prep course to improve their scores. After the prep course, the students take the college-entrance exam again. The mean difference (first – second) in exam scores is –1.75 points with a standard deviation of 7.12 points. Assuming the conditions for inference are met, what is the P-value for testing the hypotheses H0 :μdiff = 0; Ha :μdiff > 0? Find the t-table here.
For testing the hypotheses H0: μdiff = 0; Ha: μdiff > 0, the P-value is 0.6294.
We have,
The hypotheses are as follows:
Null Hypothesis (H0): The mean difference in exam scores is equal to 0. μdiff = 0
Alternative Hypothesis (Ha): The mean difference in exam scores is greater than 0. μdiff > 0
To calculate the t-statistic, we use the formula:
t = (x - μ) / (s / √n)
Where:
x is the sample mean difference (given as -1.75)
μ is the hypothesized population mean difference under the null hypothesis (0 in this case)
s is the sample standard deviation (given as 7.12)
n is the sample size (given as 35)
Substitute the given values:
t = (-1.75 - 0) / (7.12 / √35)
t ≈ -0.33071
The degrees of freedom (df) for the t-distribution.
The degrees of freedom for this test is equal to the sample size minus 1:
df = 35 - 1 = 34
The P-value is associated with the calculated t-statistic.
Since we are testing for a one-sided alternative (μdiff > 0), we need to find the area under the t-distribution curve to the right of the t-statistic.
Using the t-table, with df = 34 and t ≈ -0.33071, we find the P-value to be approximately 0.6294.
Thus,
For testing the hypotheses H0: μdiff = 0; Ha: μdiff > 0, the P-value is 0.6294.
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The area of a rectangular room in 150 square feet. If the length of one side of the room is 11feet, what is the perimeter of the room?
The perimeter of the room is approximately 49.272 feet.If the area of a rectangular room is 150 square feet, and one side of the room is 11 feet, we can find the length of the other side by dividing the area by the length of the known side:
Length × Width = Area
Width = Area ÷ Length
Width = 150 ÷ 11
Width ≈ 13.636 feet
Now that we know the length and width of the room, we can calculate the perimeter by adding up the length of all four sides:
Perimeter = 2 × Length + 2 × Width
Perimeter = 2 × 11 + 2 × 13.636
Perimeter ≈ 49.272 feet
Therefore, the perimeter of the room is approximately 49.272 feet.
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There are 125 Grade 8 learners, and the ratio of boys to girls 3:2. Calculate how many boys and girls are in grade 08
Answer:
boys-75,
Step-by-step explanation:
the ratio is 3:2 and the total ratio is 5, which stands for total learners in grade 8
boys;
3/5×125= 75
girls;
2/5×125= 50
how can you use proportional and nonproportional linear relationships to solve problems
how to make a mixed fraction into an improper fraction
Answer:
Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.
For example, suppose you want to convert the mixed number to an improper fraction. First, multiply 3 by 5 and add 2:
(3 · 5) + 2 = 17
Use this result as your numerator, and place it over the denominator you already have.
Place this result over the denominator:
This method works for all mixed numbers. Furthermore, if you start with the fractional part reduced, the answer will also be reduced.
Step-by-step explanation:
What are the three rules of logs?
The three rules of logs are the product rule, quotient rule, and power rule.
The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.
Product rule:
The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.
Quotient rule:
The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.
Power rule:
The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.
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