Bloomington University charges $53,730 for tuition. If they raise their tuition by 8% each
year, how much will tuition be in 2 years?
If necessary, round your answer to the nearest cent.
$
E

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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The set of all images of the elements in the domain of a function is called the "range" or "codomain" of the function.

The set of all images of the elements in the domain of a function is called the range. The domain of a function refers to the set of input values or independent variables that the function can accept. It represents the set of values for which the function is defined. On the other hand, the range of a function refers to the set of output values or dependent variables that the function can produce. It represents the set of values that the function can take on as the input values change. The range is determined by evaluating the function for all possible input values in the domain. Thus, it is essential to determine both the domain and range of a function to fully understand its behavior and properties.

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Answer:

9(x + 3)

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Exponent rule:

\(\boxed{(a^{m})^{n}=a^{m*n}}\)

\((x^{\frac{2}{5}})^{10} = x^{\frac{2}{5}*10} \\\\\\\)

           \(=x^{2*2}\\\\=x^{4}\)

Answer:$15 per yard

Step-by-step explanation: $825 divided by 55 = $15

The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of  moment-generating function of y is e-1/t

Given that,

The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.

The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)

The given interval is (0,1)

Here a =0;

         b=1;

Now substitute the values of a and b in the above moment generating function we get,

y=eⁿᵇ - eⁿᵃ / n(b-a)

y=e^1-e^0/t(1-0)

y= e-1/t

Therefore, the derivation of the moment generating function is e-1/t

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Answer:

i hope this helps

Step-by-step explanation:

Answer:

10x + 5

coefficient goes before the x and the constant is a number by itself

Step-by-step explanation:

Answer:

3n+5

Step-by-step explanation:

you don’t know the official age, all you know is that his age is 3 times whatever number

Answer: Hello your question is incomplete below is the complete question

In a large school district, 16 of 85 randomly selected high school seniors play a varsity sport. in the same district, 19 of 67 randomly selected high school juniors play a varsity sport. a 95 percent confidence interval for the difference between the proportion of high school seniors who play a varsity sport in the school district and high school juniors who play a varsity sport in the school district is to be calculated. What is the standard error of the difference

answer : 0.0695

Step-by-step explanation:

First step : Determine the sample proportions

For P1 = 16 / 85 = 0.188

For P2 = 19 / 67 = 0.284

Next determine the Standard error of the difference using the relation below

Standard Error = \(\sqrt{\frac{p1(1 - p1)}{n1} + \frac{p2(1-p2)}{n2} }\)  ------- ( 1 )

where : P1 = 0.188

             P2 = 0.284

             n1 = 85 high school seniors

             n2 = 67  high school juniors

Input values into equation 1

Standard error of the difference = 0.0695

The length of q is 16 units in the given triangle.

Explain about substitution method ?
The substitution method is a technique for solving systems of equations in algebra. A system of equations is a set of two or more equations that must be solved simultaneously. The substitution method involves solving one equation for one variable, and then substituting the resulting expression into the other equation to eliminate that variable.
Here are the general steps for solving a system of equations using the substitution method:

According to the question :

To solve for q, Lets us assume a triangles ABC and ACD are similar. Therefore, we can set up the following proportion:

AC/AD = AB/AC

Substituting the given values, we get:

36/AD = 16/36

Multiplying both sides by AD and simplifying, we get:

AD = (36*16)/36 = 16 units

Therefore, the length of q is 16 units.

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In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle is DEF

if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°

We need to find the value of x.

We know that the sum of three angles of triangle is 180 degrees

m∠d + m∠e + m∠f=180°

2x+3x-2+x+8= 180°

6x+6=180

Subtract 6 on both sides

6x=174

Divide by 6 on both sides.

x=174/6

x=29

Hence, the value of x is 29.

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The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

D

Step-by-step explanation:

she refuses to pay because the owners of the place shes living is supposed to fix damage and they have not done so she refuses to pay the rent.

Answer:

m∠U = 54°

m∠T = 72°

Step-by-step explanation:

The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:

m∠S = m∠U

m∠S = 54°

m∠U = 54°

All angles in a triangle add up to 180°:

m∠S + m∠U + m∠T = 180°

54° + 54° + m∠T = 180°

108° + m∠T = 180°

m∠T = 72°

In this utility function, the term 6X represents the utility derived from consuming good X, while the term -Y represents the disutility or loss of satisfaction from consuming good Y. By subtracting Y from 6X, Chloe's preferences reflect the substitution relationship she perceives between the two goods.

A utility function describes an individual's preferences and the satisfaction they derive from consuming different goods. In Chloe's case, she believes that 6 units of good X can fully replace the satisfaction derived from consuming 1 unit of good Y. Therefore, we can construct a utility function based on this substitution ratio.

Let's denote the quantity of good X as X and the quantity of good Y as Y. Since Chloe believes that 6 units of X perfectly substitute 1 unit of Y, we can express her utility function as:

U(X, Y) = 6X - Y

It's important to note that utility functions are subjective and specific to an individual's preferences. Chloe's utility function captures her belief that 6 units of X are equivalent to 1 unit of Y, but it may not hold true for other individuals with different preferences or perceptions of substitutability between the goods.

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Step-by-step explanation:

6x^2, and 9x^2 can both be combined

Answer: 43 - x =25

Step-by-step explanation:

43 - x = 25

so 43 - 25 = x

x = 18

Using logarithmic differentiation, we can find the derivative of y = 4^(2x) * e^(5x) * log(x) as follows:

y' = (ln(4) * 2x * 4^(2x) + 5 * e^(5x) * 4^(2x) * log(x) + 4^(2x) * e^(5x) * (1/x)) * (ln(x))

To find the derivative of the given function y = 4^(2x) * e^(5x) * log(x) using logarithmic differentiation, we follow these steps:

Take the natural logarithm (ln) of both sides of the equation:

ln(y) = ln(4^(2x) * e^(5x) * log(x))

Apply the properties of logarithms to simplify the expression:

ln(y) = ln(4^(2x)) + ln(e^(5x)) + ln(log(x))

= 2x * ln(4) + 5x * ln(e) + ln(log(x))

= 2x * ln(4) + 5x + ln(log(x)) (since ln(e) = 1)

Differentiate both sides of the equation implicitly with respect to x:

(1/y) * y' = 2 * ln(4) + 5 + (1/log(x)) * (1/x)

Multiply both sides by y to isolate y':

y' = y * (2 * ln(4) + 5 + (1/log(x)) * (1/x))

Substitute the original expression for y back into the equation:

y' = (4^(2x) * e^(5x) * log(x)) * (2 * ln(4) + 5 + (1/log(x)) * (1/x))

Therefore, the derivative of y = 4^(2x) * e^(5x) * log(x) using logarithmic differentiation is given by the equation above.

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Answer:

a) (2,9); b) no points of intersection

Step-by-step explanation:

a)

Set the two equations equal to each other

7x - 5 = -2x + 13

Rearrange collecting like terms and solve

9x = 18

x = 2

Sub in x = 2 into either of the equations and it should yield the same result

Eq.1 y = 7(2) - 5 = 9

Eq.2 y = -2(2) + 13 = 9

Therefore the point of intersection is (2,9)

The graph confirms this result (see graph 1 with red and blue lines)

b)

As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.

3x - 1 = 3x + 2

When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides

-1 = 2

This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)

Sleep time per week follows a normal distribution with a mean of 49.0 hours and a standard deviation of 5.0 hours, and it is a major health concern. Therefore,

For Question 4, the probability that a random person will sleep 56 hours or more in a week is approximately 8.1%.

For Question 5, the percentage of adults expected to sleep between 45.5 and 53.5 hours per week is approximately 82.7%.

To find the probabilities in these scenarios, we can use the properties of the normal distribution.

For Question 4, we are interested in finding the probability that a randomly selected person will sleep 56 hours or more in a week, given that the average sleep time per week is normally distributed with a mean of 49.0 hours and a standard deviation of 5.0 hours.

Using the Z-score formula, we can standardize the value 56 hours:

Z = (X - μ) / σ

Z = (56 - 49.0) / 5.0

Z = 1.4

Next, we can use a Z-table or a calculator to find the probability associated with a Z-score of 1.4. The probability is approximately 0.080, which corresponds to 8.1%.

Therefore, the probability that a single person selected at random will sleep 56 hours or more in a week is 8.1%.

For Question 5, we want to determine the percentage of adults expected to experience sleep within the range of 45.5 to 53.5 hours per week. Again, we can use the properties of the normal distribution with the given mean and standard deviation.

Using the Z-score formula, we can standardize the lower and upper limits:

Z₁ = (45.5 - 49.0) / 5.0 = -0.7

Z₂ = (53.5 - 49.0) / 5.0 = 0.9

Using a Z-table or a calculator, we can find the area under the curve between these two Z-scores. The probability is approximately 0.827, which corresponds to 82.7%.

Therefore, the percentage of adults expected to experience sleep within the range of 45.5 to 53.5 hours per week is 82.7%.

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A quadratic function is a polynomial function with degree 2, and it can be written in standard form as:

f(x) = ax^2 + bx + c

where a, b, and c are real numbers, and a ≠ 0. The standard form of a quadratic function makes it easier to analyze and graph the function.

To write a quadratic function in standard form using a calculator, you need to enter the coefficients a, b, and c. The calculator will then rearrange the equation into standard form.

For example, if you have the quadratic function f(x) = 2x^2 + 3x - 4, you would enter 2, 3, and -4 as the coefficients a, b, and c, respectively. The calculator would then rearrange the equation into standard form:

f(x) = 2x^2 + 3x - 4

The standard form of a quadratic function can be useful in many applications, such as finding the roots (zeros) of the function, finding the maximum or minimum values, and sketching the graph of the function.

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37 degrees plus m mus equal 90 degrees; therefore, the equation that m must satisfy is

subtracting 37 from both sides of the equation gives us

Answer:

(4 ± 2\(\sqrt{22} \)) ÷ 4

Step-by-step explanation:

i changed equation to be 2x² - 4x - 9 = 0

i used the quadratic formula:  (-b ± \(\sqrt{b^2-4ac} \)) ÷ 2a

where:

a = 2

b = -4

c = -9

Answer: 5 feet off the ground

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The probability is 1/3

Answer:

x = 6.9168 or x = 7

Step-by-step explanation:

Hope that helps :)

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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