Discount!!!!!!!!!!!!!!!!!!!!

Answer:

20% I believe

Step-by-step explanation:

Given:

h is composition of two functions f and g.

\(h(x)=(f\circ g)(x)\)

One of the function is 8x-9.

\(h(x)=(8x-9)^2\)

To find:

The functions f(x) and g(x).

Solution:

We know that,

\(h(x)=(f\circ g)(x)=f[g(x)]\)

We have,

\(h(x)=(8x-9)^2\)

Here, first function is 8x-9 and the second is square of it.

In \((f\circ g)(x)=f[g(x)]\), first function which is applied is g(x) and the second function is f(x).

Let \(g(x)=8x-9\) and \(f(x)=x^2\).

\(h(x)=f[8x-9]\)

\(h(x)=(8x-9)^2\)

So, our assumption is correct.

Therefore, the required functions are \(g(x)=8x-9\) and \(f(x)=x^2\).

Answer:x ≤ 3

Step-by-step explanation:

(14.5x − 5(x + 2) ≤ 4 + 4(4 − 1/8x)
14.5x - 5x-10 ≤ 4 + 16 - 1/2x Get rid of the parenthesis

9.5x-10 ≤ 20-1/2x Combine like terms

10x - 10 ≤ 20

10x/10 ≤ 30/10

x ≤ 3

Remember that

The simple interest formula is equal to

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

I=$55

r=2.8%=2.8/100=0.028

t=14/12=7/6 years

substitute given values

solve for P

The option a "The chi-square test for independence" is correct.

In the given question we have to find, a test of a single population and is to determine if there is an association between two characteristics of that population.

The given options are

A) The chi-square test for independence

B) Pearson product moment test

C) The chi-square test for homogeneity

D) Goodness-of-fit test

E) Welch’s t test

As we know that;

When a categorical variable has more than two levels, a chi-square test can be performed. A one proportion z test may be performed if there are precisely two categories. There must be no overlap between those category variable's levels. To put it another way, every situation must fall into exactly one group.

So, the chi-square test for independence is correct answer.

Option (B) and (E) are two-sample tests.

(C) involves two attributes.

(D) Doesn't check association.

Hence all these are incorrect.

So the option a "The chi-square test for independence" is correct.

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Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

Answer:

A of the shaded figure is 195m hope this helps

Answer:

195 meters

Step-by-step explanation:

15 x 15 = 225 (Area of whole rectangle)

6 x 5 = 30 (Area of smaller rectangle)

225 - 30 = 195 (Area of shaded region)

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Answer:

2x + 5y divide each term by -1/4 it's simple

Answer: The unit rate of the bananas is 0.33$

Step-by-step explanation:

1.98/6 = 0.33$ . 0.33 x 6 = 1.98$

9514 1404 393

Answer:

  53

Step-by-step explanation:

The area of the pool is ...

  A = πr²

  A = 3.14×(10 ft)² = 314 ft²

The number of bags of sand required is ...

  (314 ft²)/(6 ft²/bag) ≈ 52.33 bags

53 bags of sand are needed.

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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Answer:

3 + 11x

Step-by-step explanation:

Nuestra ecuación será: 3 + 8x + 3x

No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x

Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

8/17<9/17

Step-by-step explanation:

Might be wrong with my answer but my logic was that if there are 9 students who prefer math and 8 who prefer science, that there are 17 students total. If there are 17 students total the denominator should be 17. Since 8 of them prefer science, we can write that as 8/17 because 8 out of the 17 students prefer science. Similarly we can write the number of students who prefer math as 9/17 because there are 9 students out of 17 who do.

Answer: $918.49

Step-by-step explanation: 135.26 + 108.23 = 243.49

90 * 5 = 450

90 * 2.5 = 225

243.49 + 450 + 225 = 918.49

Answer:

10

Step-by-step explanation:

eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.

Answer:

x = 4

Step-by-step explanation:

To solve the equation, we would have to solve for the variable x.

34 - (x + 8) = 6x - 2

Remove the parentheses.

34 - x - 8 = 6x - 2

Add 2 to both sides and combine like terms.

28 - x = 6x

Add x to both sides.

28 = 7x

Swap sides.

7x = 28

Divide both sides by 7.

x = 4

So the solution to the equation would be x = 4

I hope you find my answer and explanation to be helpful. Happy studying. :)

Answer

The final answer

Oprtion

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer:

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

Answer:  -2

Step-by-step explanation:

Draw that point of intersection. Similarly construct a horizontal line which goes through the point of intersection. The value of the function here at x = 2 is -2.

Answer:

10.03% probability that the sample mean will be greater than 10 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\(\mu = 10.8, \sigma = 3.7, n = 35, s = \frac{3.7}{\sqrt{35}} = 0.6254\)

What is the probability that the sample mean will be greater than 10 years?

This is 1 subtracted by the pvalue of Z when X = 10. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{10 - 10.8}{0.6254}\)

\(Z = -1.28\)

\(Z = -1.28\) has a pvalue of 0.1003

10.03% probability that the sample mean will be greater than 10 years

Answer:

If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.

Step-by-step explanation:

Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:

\(v=v_0+a\,*\,t\\y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\)

the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.

Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:

\(v=v_0+a\,*\,t\\0=v_0-g\,*\,t\\t=\frac{v_0}{t}\)

When we use this to replace the 't" in the displacement formula, we et:

\(y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\\y-y_0=v_0\,(\frac{v_0}{g} )-\frac{g}{2} \,(\frac{v_0}{g} )^2\\y-y_0=\frac{1}{2} \frac{v_0^2}{g}\)

This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)

And we can also answer the question about time, since given the same initial velocity \(v_0\) , the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)