Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
Test the claim that the mean age of the prison population in one city is less than 26 years.
Sample data are summarized as n = 25, x bar= 24.4 years, and s = 9.2 years. Use a significance level of α = 0.01. Select the corresponding P-value and final conclusion

Answer: 208 in^2

Step-by-step explanation:

find the surface area of the square base

8(8)=64

find the surface area of the 4 triangular lateral faces

SA=4(bh÷2)

4(8 x 9 ÷2)

4(36)=144

add the surface area of the square base and lateral faces

64+144=208

Some examples of cardiovascular endurance exercises are:

Jogging, cycling, swimming, aerobics, rowing, stair climbing, hiking, cross-country skiing, and sport-related games.

Cardiovascular exercise is a positive health component of staying fit that is brought about by routine physical activity.

We have,

Cardiovascular exercise tells about our health and the potential for health outcomes.

Some examples of cardiovascular in physical fitness exercise are:

- Walking

- Jogging

- Running

- Cycling

- Swimming

- Aerobics

- Rowing

- Stair climbing

- Hiking

- Cross-country skiing

- Sports

Thus,

The examples are mentioned above.

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Given:

p = 16%

and, n = 400

We will find the margin of sampling error

The formula to find the margin of sampling error will be:

substitute with (p) and (n):

Rounding to the nearest whole percent

So, the answer will be 4%

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

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

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

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

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

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 p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

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

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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there were 1500 kids and 700 adults.

What exactly are linear equations with two variables?

Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a ton of these equations. Solution: It is possible to write 2x + 3y = 4.37 as 2x + 3y - 4.37 = 0.

Write the following two equations first, setting c = children and a = adults:

c + a = 2200

1.50 ( c ) + 4.00 ( a ) = 5050

Use substitution now, explains the explanation

c = 2200 − a \s 1.50 ( 2200 − a ) + 4.00 ( a ) = 5050

Reduce complexity: 2.5 a = 1750 a = 700

Using the first formula, c = 2200 a = 2200 700 = 1500

In conclusion, there were 1500 kids and 700 adults.

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SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

Answer:

Using formulae to calculate area (EMG5X)

Shape Area formula

Rectangle length × width

Square length × length = length2 and/or side × side = side2 and/or

Triangle 12× base × perpendicular height or

Circle π× radius2

Step-by-step explanation:

16^x = 2

=> (2^4)^x = 2

=> 2^(4x) = 2

Therefore 4x = 1 and x = 0.25.

Answer:

The value of x is 0.25

Answer:

The question is not so clear!

Step-by-step explanation:

Answer:

If the video game that Ethan bought usually costs $39.99, and it was on sale for 20% off, then the discount on the game would be $39.99 x 20/100 = $8.00. To determine the final price of the game after the discount, we can subtract the discount from the original price of the game, which gives us:

Final price = $39.99 - $8.00 = $31.99

Therefore, Ethan paid $31.99 for the video game that was on sale. This can be rounded to the nearest cent to give us a final answer of:

Final price = $31.99 ≈ $32.00.

Therefore, Ethan paid $32.00 for the video game that was on sale.

Step-by-step explanation:

Answer:

59 degrees

Step-by-step explanation:

All the angles of a triangle (when combined) result in 180 degrees. This means that:

Angle 1 + angle 2 + angle 3 = 180 degrees.

We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:

31 + 90 + w = 180

w = 59

And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!

The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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To solve;

we will use the formula;

where a is the base and h is the height

From the diagram, a = 4 and h=3

substituting into the formula;

A= 16 + 8√13

A= 16 + 28.8444

A=44.844 units²

Solution of laplace´s equation uxx + uyy = 0 including these function :

Hence, the solutions of laplace´s equation is including the following functions above.  

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Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

\(\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}\)

⠀

\(\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}\)

⠀

\(\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}\)

⠀

Therefore,

⠀

Henceforth ,

The amount of the total number of possible pizzas is 4083 pizzas.

The problem of finding the total number of possible pizzas with 12 toppings is basically a problem of counting the number of subsets (or combinations) of a set of 12 elements (the toppings) with the additional condition that double toppings are not allowed.

Therefore, the solution to this problem is simply the sum of the number of subsets with between 0 and 12 toppings, inclusive, but excluding those subsets that contain any repeated element (topping).

First, let's find the number of subsets with k elements. Since we cannot repeat toppings, we can select the k elements from the 12 available toppings in 12 C k ways.

Therefore, the total number of possible pizzas with exactly k toppings is 12 C k.

To find the total number of pizzas with between 0 and 12 toppings, we can use the formula for the sum of the first n binomial coefficients:

∑ k=0 n (n C k) = 2ⁿ

Hence, the total number of possible pizzas is:2¹²- (1 + 12) = 4096 - 13 = 4083 pizzas.

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Answer:

(1,-9)

x=1, y=-9

Step-by-step explanation:

Answer:

The answer is 28/5

Step-by-step explanation:

5.6 can be written as 56/10 into vulgar fraction.

Thus, The answer is 56/10 = 28/5

-TheUnknownScientist 72

Part 1: The percentage change in velocity was positive in Quarter 1 (Q1) 2020 and Quarter 3 (Q3) 2020. The percentage change in velocity was negative in Quarter 2 (Q2) 2020.

Part 2: Percentage change in velocity = -0.297

Part 3: C. People and banks were holding on to their money longer explain such a large change in velocity that occurred during the second quarter.

Part 2: During Q2, the percentage change in velocity can be calculated by using the following formula:

Velocity = (Nominal GDP / Real GDP) / (Money Supply / Nominal GDP)

Percentage change in velocity = (Velocity of 2020 - Velocity of 2019) / Velocity of 2019

Velocity of 2019 = (Nominal GDP of 2019 / Real GDP of 2019) / (Money Supply of 2019 / Nominal GDP of 2019) = Velocity of 2019 = (21,427.7 / 19,485.4) / (3,405.5 / 21,427.7)

Velocity of 2019 = 1.1290

Velocity of 2020 = (Nominal GDP of 2020 / Real GDP of 2020) / (Money Supply of 2020 / Nominal GDP of 2020)

Velocity of 2020 = (19,414.6 / 18,016.2) / (4,163.2 / 19,414.6)

Velocity of 2020 = 0.7940

Percentage change in velocity = (0.7940 - 1.1290) / 1.1290 = -0.297

Part 3: A substantial increase in the money supply can explain such a large change in velocity that occurred during Q2. When the money supply increased, people and banks had more money to spend and lend. However, the velocity decreased in Q2 despite a large increase in the money supply. This suggests that people and banks were holding on to their money longer and spending less during Q2. Therefore, option C is the correct answer.

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Answer:

m∠6 = 142°

m∠7 = 38°

Step-by-step explanation:

You will be using postulates and theorems to solve this question.

Two parallel lines are cut by a transversal          (Given)

- m∠1 = 38°                         (Given)

- m∠1 ≅ m∠3                      (Vertical Angles Theorem)

  ∴ m∠3 = 38° (Definition of Vertical Angles Theorem)

- m∠3 ≅ m∠5                     (Alternate Angles Theorem)

 m∠3 = 38° ∴ m∠5 = 38° (Definition of Alternate Angles Theorem)

- m∠5 ≅ m∠7                     (Vertical Angles Theorem)

 m∠5 = 38° ∴ m∠7 = 38° (Definition of Alternate Angles Theorem)

m∠7 + m∠6 = 180°            (Corresponding Angles Postulate)

m∠7 = 38°                          (Given above)

Plug in 38 for m∠7 and solve for m∠6:

(38) + m∠6 = 180

Isolate m∠6. Note the equal sign, what you do to one side, you do to the other. Subtract 38 from both sides of the equation:

m∠6 + 38 = 180

m∠6 + 38 (-38) = 180 (-38)

m∠6 = 180 - 38

m∠6 = 142°

-

Answers:

m∠6 = 142°

m∠7 = 38°

~

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The required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.

Given that,
The swimming pool is being filled with a hose.
The pool's water level rises 4 inches in hours.
To determine the rate per hour of the water level change.

Here,
Let 1 level of pool = 1 feet = 12 inches
The pool's water level rises 4 inches in hours. So, ti will rises 12 inches in 3 hours, which implies level change after 3 hours
Now the rate of level change of water = 1 / 3 level per hour

Thus, the required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.

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Answer:

yes

Step-by-step explanation:

-34 is an integer and an integer is a rational number

In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).

To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.

On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.

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The value of a if  the lines 5x-ay+26=0 and 3x-y+2=0 intersect on the y-axis is; a = 13

The general form of the equation of a line in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

We are given two equations of two lines as;

Line 1; 5x - ay + 26 = 0

Line 2; 3x - y + 2 = 0

Now, since they both intercept each other at the y-axis, it means that at the point of intersection, the value of x will be 0.

Thus, line 2 equation becomes;

3(0) - y + 2 = 0

y = 2

Putting 2 for y in line 1 equation gives;

5(0) - a(2) + 26 = 0

2a = 26

a = 26/2
a = 13

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Answer:

75%

Step-by-step explanation:

The right skewed data set means the data mostly lies in the right tail. There is majority of data present in the right tail of the data set. The mean, median and mod all are different for the rightly skewed data set.

We arrived at the equivalent polar equation, r = √(5/2) or r = (√5)/√2.

The equation is 2x² + y² = 5. To obtain the polar equation, we must substitute x = rcosθ and y = rsinθ. After replacing these values, we will simplify the equation to get the equivalent polar equation.

Let's begin:2(r cosθ)² + (r sinθ)² = 52r²cos²θ + r²sin²θ =

52r²(cos²θ + sin²θ) = 52r²

= r²(5/2)

Taking the square root of both sides of the equation yields:

r = √(5/2) = √5/√2 = (√5/2)√2 = (√5/2)√(2/2) = (√5/2)

Therefore, the equivalent polar equation is r = √(5/2), which can be simplified as r = (√5)/√2.

For the given rectangular equation, we converted it to an equivalent polar equation using the formulas x = rcosθ and y = rsinθ.

After substituting these values, we simplified the equation by using trigonometric identities, such as sin²θ + cos²θ = 1.

Eventually, we arrived at the equivalent polar equation, r = √(5/2) or r = (√5)/√2.

In conclusion, by converting rectangular equations to polar equations, we can plot points in a polar coordinate system, which is useful in various fields such as physics and engineering.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Answer:

A) 2

Step-by-step explanation:

U 2 can help me by marking as brainliest........

Answer:

Step-by-step explanation:

n = 3 is the smallest integer greater than 2

Correct choice is C