at the school place students can attend for only 7 dollars before adults it cost $10 the play ended up making 950 and 110 people total attended how many students attended

(a) The range of values for the sample mean would be expected 95% of the time is 490.8 to 569.2.

(b) The range of values would be expected 95% of the time if the sample size were n = 100 is 514.32 to 545.68.

The standard error (SE) of a statistic is the approximate standard deviation of the statistical sample population.

Standard error is a statistical term used to measure how well a sampling distribution uses the standard deviation to represent a population. In statistics, the difference between the mean of a sample and the true mean of a population; this deviation is the standard error of the mean.

According to the Questions:

a. With n = 16 the standard error is am = 20 points. Using z = ± 1.96, the 95% range extends from 490.8 to 569.2.

b. With n = 100 the standard error is only 8 points and the range extends from 514.32 to 545.68.

Complete Question:

The SAT scores for the entering freshman class at a local college form a normal distribution with a mean of p = 530 and a standard deviation of a = 80.

a. For a random sample of n = 16 students, what range of values for the sample mean would be expected 95% of the time?

b. What range of values would be expected 95% of the time if the sample size were n = 100?

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Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point. 1. 6 units down (–2, –1) 2. 3 units right (1, 5) For each.

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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When using percent slope to get tree height, the tree is the rise, and the horizontal distance from the tree with the ground is the run. We can simply measure our horizontal distance from the tree, and we have instruments for gauging the percent slope to the top of a tree.

Hence, with those two measures (run and %slope) we can solve for rise.

You Total up all the trees.

let the average of number of trees are:

3+3+8+10+5+2=31

then you subtract the amount of trees under 75 feet in height.

31-8-3-3=14

divide the number of trees 14 under 75 ft in height by the total amount of trees31.

14/31=0.4516

0.4516=45.2

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Each nonzero vector in R2 is an eigenvector of A corresponding to the eigenvalue r. The answer is option D.

A nonzero vector x in R" is an eigenvector of A if it maps onto a scalar multiple of itself under the transformation T: x - Ax is true.

A scalar, such that Ax = ax for a nonzero vector x, is called an eigenvalue of A is also true. A scalar is an eigenvalue of A if and only if (A - 11)X = 0 has a nontrivial solution is true. A scalar λ is an eigenvalue of A if and only if (A - λI) is invertible is not true.

The eigenspace of a matrix A corresponding to an eigenvalue is the Nul(A-λ). The standard matrix A of a linear transformation T: R2R2 defined by T(x) = rx (r > 0) has an eigenvalue r; moreover, each nonzero vector in R2 is an eigenvector of A corresponding to the eigenvalue r. The answer is option D.

Note:Eigenvalue and eigenvector are important concepts in linear algebra. In applications, the most interesting aspect is that these can be used to understand real-life phenomena, such as oscillations. Moreover, eigenvalues and eigenvectors can also be used to solve differential equations, both linear and nonlinear ones.

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The percentage of scores that are greater than 154 on the test is approximately 0.13%.

To find the percentage of scores that are greater than 154 on a test with a normal distribution, we can use the properties of the standard normal distribution.

First, we need to standardize the value of 154 by converting it into a z-score. The formula for calculating the z-score is:

z = (x - μ) / σ

where x is the given value, μ is the mean, and σ is the standard deviation.

In this case, x = 154, μ = 109, and σ = 15.

Calculating the z-score:

z = (154 - 109) / 15

z = 45 / 15

z = 3

Now that we have the z-score, we can use a standard normal distribution table or a calculator to find the percentage of scores greater than 154.

Looking up the z-score of 3 in the standard normal distribution table, we find that the area to the left of z = 3 is approximately 0.9987.

Since we want to find the percentage of scores greater than 154, we subtract the area to the left from 1 to get the area to the right.

Area to the right = 1 - 0.9987 = 0.0013

Converting this to a percentage:

Percentage = 0.0013 * 100 = 0.13%

Therefore, approximately 0.13% of scores are greater than 154 on this test.

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Answer: (55, 145)

Step-by-step explanation:

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer: $31,920.

Step-by-step explanation:

The banker's rule is a method used by lenders to determine the maximum amount of money that a borrower can afford to repay. According to this rule, the maximum amount of money that Lee can afford to borrow is determined by multiplying his annual income by a factor of 0.28.

Using this rule, the amount that Lee can afford to borrow can be calculated as:

Maximum affordable monthly payment = 0.28 x monthly income

Maximum affordable monthly payment = 0.28 x (24700/12)

Maximum affordable monthly payment = 0.28 x 2058.33

Maximum affordable monthly payment = 576.66

Therefore, Lee can afford to make monthly payments of up to $576.66. To calculate the total amount he can borrow, we need to determine the total cost of the loan, including principal and interest.

Assuming a 5-year loan with an interest rate of 4%, the total cost of the loan can be calculated using an online loan calculator or spreadsheet software.

Plugging in the numbers, the total amount that Lee can borrow is approximately $31,920.

It's important to note that this calculation is based on the banker's rule and assumes that Lee has no other debt obligations. Actual loan approval and loan amounts may vary depending on other factors such as credit score, debt-to-income ratio, and other lender-specific requirements.

Equation for the total cost of paint job 'y' with number of hours spent on paining 'x' is formed as:

y = 50 + 3x

y = 50 + 5x

Let the total cost of paint job be' 'y'.

Let 'x' be the number of hours spent on paining.

Then,

Total cost = supplies + hourly fee* number of hours.

Let the supplies cost be 'z'

140 = z + 3x

200 = z + 5x

Solving both equation.

2x = 60

x = 30

z = 50

Thus, equation for the  total cost of paint job 'y' with number of hours spent on paining 'x' is formed as:

y = 50 + 3x

y = 50 + 5x

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In Algebra 2, students typically use a scientific calculator.

A scientific calculator has advanced functions beyond basic arithmetic operations.

Some of the functions commonly used in Algebra 2 include logarithms, exponents, trigonometric functions, and statistical calculations. Therefore, a scientific calculator with these functions would be most useful for Algebra 2.

Examples of calculators that are often used in Algebra 2 include the TI-84 Plus , the TI-Nspire CX, the Casio fx-9750GII, and the HP Prime Graphing Calculator.

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One way to increase the probability of identifying the optimal decision when using a simulation is to increase the number of iterations or trials in the simulation.

Simulation is a powerful tool for modeling and analyzing complex systems or processes where there are many variables and uncertainties involved. However, the accuracy and reliability of the simulation results depend on the number of iterations or trials used in the simulation. The more trials or iterations are performed, the more accurate the simulation results are likely to be, and the higher the probability of identifying the optimal decision.

Therefore, to increase the probability of identifying the optimal decision in a simulation, one should increase the number of trials or iterations in the simulation. This means running the simulation multiple times with different input values or scenarios and recording the results for each run. By analyzing the results of multiple simulation runs, one can identify patterns, trends, and optimal decisions that are robust and reliable across different scenarios and conditions.

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Answer:

x = 5

Step-by-step explanation:

Ashley and Adam spent a total of 31 hours on their projects so: 3x+2+4x-6 = 31

3x+2+4x-6 = 31

7x-4 = 31

7x = 35

x = 5

Answer:

7.61577

Step-by-step explanation:

Answer:

4.5

 miles

Step-by-step explanation:

Well, he runs

3

miles in

28

minutes. Also, see that

42

=

28

⋅

1.5

.

So, his journey would just be running

1.5

times, with each time running

28

minutes.

So, he runs a total of

1.5

⋅

3

=

4.5

miles

Answer:

4.5 miles

Step-by-step explanation:

You divide 28/3 then the answer you get multiply it to 42 = 4.5.

The ounces of the 50% mixture that the pharmacist should use is 6 ounce.

From the information, we need two equations to solve this problem.

equation 1:

x + y = 10

equation 2:

.5x + .75y = 10(.6)

set y = 10 - x

.5x + .75(10-x) = 6

.5x + 7.5 - .75x = 6

.5x -.75x = 6 - 7.5

-.25x = -1.5

Divide

x = -1.5/-.25

x = 6

Therefore, 6 ounce of the 50% sorghum are required.

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Answer:

B

Step-by-step explanation:

the sum of angles of triangle=180

B: 50+60+70=180

To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

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Answer:

Step-by-step explanation:

urmom

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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Answer: \(7\pi\)

Step-by-step explanation:

The area of the entire circle is \((\pi)(3^{2})=9\pi\)

The area of each of the smaller circles is \((1^{2})(\pi)=\pi\), so their combined area is \(2\pi\).

By subtracting areas, we get the area of the shaded region is \(7\pi\).

Answer:

The maximum size of car payment he can afford is;

Explanation:

Given that Oliver makes $54,000 per year.

His monthly income will be;

Also, it was stated that;

debt payments (other than mortgages) should be less than 8% of a consumer's monthly gross income.

8% of Oliver's monthly income will be;

So, Oliver cannot pay more than $360 of debt per month.

Removing the $100 student-loan payment every month.

We have;

Therefore, the maximum size of car payment he can afford is;

Answer:

It will take 8.73 years.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,000

Future value (FV)= $1,500

Interest rate (i)= 4.75% compounded annually

To calculate the time required for the initial investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(1,500/1,000) / (1.0475)

n= 8.73

It will take 8.73 years.

Answer:

Ans c is right ans of this question

Answer:

ys answer 1,0 lie on the middle point circles

Answer:

only the v-shaped graph is a function

Step-by-step explanation:

the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point

Answer:

It's c :]

Step-by-step explanation:

Answer: 11/25

Step-by-step explanation:

I got the answers at the end of a near-pod but if you need to show your work

Simplify the expression.

2m