Find the surface area of the prism. Write your answer as a decimal.
9 in.
13.5 in.
9 in.
10 in.

As per the given situation, D. these apply only to the population of those students who drive to the college.

The study's 95% confidence interval only pertains to the group of students who drive to the institution and were present near the parking lot when the survey was conducted. Since the sample might not be entirely representative of the total population of interest, it may not necessarily apply to all students who drive to college.

The purpose of the poll was to learn whether or not college students supported the construction of a multi-level parking garage that would add 425 new spaces to the campus. The students also computed a 95% confidence interval based on the survey results to determine the range of expected values for the genuine proportion of students who favour the construction of the new parking structure.

Complete Question:

parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?

A. They apply to all students at the college.

B. They apply only to the population of those who use the student parking lot.

C. The results do not apply to any population because this was a convenience sample.

D. They apply only to the population of those students who drive to the college.

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Answer:

2

Step-by-step explanation:

Pick 2 coordinates on the line and do the formula for slope.

ex: (2,4) and 3,6)

4-6/2-3 = -2/-1 = 2

The lateral area of the given square based pyramid is 100 square inches.

In the given figure, edge of square base is 10 inches and slant height (l)= 5 inches.

We know that, the lateral area of a square pyramid = 2al.

Substitute a=10 inches and l=5 inches in the lateral area of a square pyramid formula, we get

2×10×5

= 100 square inches

Therefore, the lateral area of the given square based pyramid is 100 square inches.

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Answer:

1.  There are 609 more fiction books than non-fiction books in the library

2. Cheryl had $900 initially

Answer:

scroll down to image :)! u can store 10 imgs. or u can change bg color! but thats for ti-84 ce!

Step-by-step explanation:

The income distribution of super shoppers is given in the table below.

Income range

Midpoint

Percent of super shoppers

5-151021%

15-252015%

25-352121%

35-452017%

45-552019%

55 or more607%

Therefore, it can be observed from the above table that the highest proportion of super shoppers fall into the income group of $55,000 or more. This group comprises 60% of all super shoppers. On the other hand, the lowest proportion of super shoppers fall into the income group of $5,000 to $15,000.

This group comprises only 21% of all super shoppers.

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Answer:

$45.8

Step-by-step explanation:

32.06 / 14= 2.29

2.29x20=45.8

Answer:

f(-2)=-12

f(3)= -2

Step-by-step explanation:

f(x) is original form

So for f(-2) we find where x is -2 and in this case f(x) is -12

And for f(3) we do similar but since x=3 isn’t on the table we see a pattern that whne x goes up one f(x) adds 2 so 3 is -2

Hopes this helps

The simplified answer is 5a + 4

Answer:

V=2197

Step-by-step explanation:

Approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017. Option B is correct.

Given that,
In 2017 there were enough renewable energy sources to supply a total of 9309 megawatts of electricity in a country. The graph shows the proportions that the different renewable energy sources could supply.

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here, from the graph contribution of the hydropower is 18.2%.
So the electricity produced through hydropower is,
= 9309 * 18.2%
= 9309 * 18.2/100
= 1694.23
≈ 1700 megawatts

Thus, approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017.

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Answer:  multiple them all together or add them

Step-by-step explanation:

Answer:

$391.2 per owner

Step-by-step explanation:

find the total price of the items and divide it by five

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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Answer:

b

Step-by-step explanation:

b

Answer:

1//18

Step-by-step explanation:

2/3 * 1/6= 1/18

You first do 2*1

Then 3*6

Answer: A. 1/9

Step-by-step explanation:

to find what fraction of all your books is historical fiction, you would multiply how the fraction of all your books that are fiction by the fraction of fictional books that are historical fiction.

this gives you 2/3 times 1/6.

from there you simply multiply the numerators (2x1=2)

and the denominators (3x6=18)

leaving you with 2/18

but that can be simplified, giving you the final answer of 1/9

A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.

A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).

It is suitable when we want to understand how changes in the explanatory variable affect the response variable.

In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.

This means that the relationship between y and x can be adequately described by a straight line.

The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.

If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.

Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.

Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.

Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.

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The area of the shaded region is  4 cm².

The area of the shaded region is calculated by applying Cavalieri's principle.

Cavalieri's principle states that if two three-dimensional objects have the same cross-sectional area along a height and the same height, then the figures have the same volume.

The area of the shaded figure is calculate as follows;

from the diagram the width of the shaded region = 2 cm

The height of the shaded region = 2 cm

Area = 2 cm x 2 cm = 4 cm²

Thus, the area of the shaded region is determined by considering Cavalieri's principle.

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Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer:

\( Area = 400.4 m^2 \)

Step-by-step Explanation:

Given:

∆UVW,

m < U = 33°

m < V = 113°

VW = u = 29 m

Required:

Area of ∆UVW

Solution:

Find side length UV using Law of Sines

\( \frac{u}{sin(U)} = \frac{w}{sin(W)} \)

U = 33°

u = VW = 29 m

W = 180 - (33+113) = 34°

w = UV = ?

\( \frac{29}{sin(33)} = \frac{w}{sin(34)} \)

Cross multiply

\( 29*sin(34) = w*sin(33) \)

Divide both sides by sin(33) to make w the subject of formula

\( \frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)} \)

\( \frac{29*sin(34)}{sin(33)} = w \)

\( 29.77 = w \)

\( UV = w = 30 m \) (rounded to nearest whole number)

Find the area of ∆UVW using the formula,

\( area = \frac{1}{2}*u*w*sin(V) \)

\( = \frac{1}{2}*29*30*sin(113) \)

\( = \frac{29*30*sin(113)}{2} \)

\( Area = 400.4 m^2 \) (to nearest tenth).

Answer:

A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7

Answer:

A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.

√1 = 1

√4 = 2

√9 = 3

√16 = 4

√25 = 5

√36 = 6

√49 = 7

√64 = 8

√81 = 9

√100 = 10

The nonagon is regular, we know that the sum of the interior angles of the nonagon is equal to (n-2) * 180 degrees, where n is the number of sides of the nonagon. Thus, the sum of the interior angles of the nonagon is:

\((9-2) * 180\) degrees = 1260 degrees

Since all nine angles in the nonagon are congruent, we can find the measure of each angle by dividing the total sum of the angles by the number of angles:

y = 1260 degrees / 9 = 140 degrees

We also know that the sum of the interior angles of a rectangle is equal to 360 degrees. Thus, we can use the following equation to find the measure of angle x:

\(a + b + y + y + y = 360\) degrees

Simplifying this equation, we get:

\(a + b + 3y = 360\) degrees

We don't know the specific values of a and b, but we do know that a = b, since opposite sides of a rectangle are congruent.

Thus, we can substitute "a" for "b" in the equation:

\(2a + 3y = 360 \)degrees

We can solve for a by subtracting 3y from both sides and then dividing by 2:

\(2a = 360\) degrees - 3y

a = (360 degrees - 3y) / 2

Now we can substitute this value of "a" into the equation for x:

x = 180 degrees - y - y - a

Substituting the values we found earlier for y and a, we get:

x = 180 degrees - 140 degrees - 140 degrees - [(360 degrees - 3y) / 2]

Simplifying this equation, we get:

x = 100 degrees - (3/2)y

So the measure of angle x depends on the measure of angle y, which we found to be 140 degrees. Plugging this value into the equation for x, we get:

x = 100 degrees - (3/2) * 140 degrees

x = 100 degrees - 210 degrees

\(x = -110\) degrees

This is a negative value, which doesn't make sense for an angle.

Therefore, we conclude that there must be an error in our calculation or our assumption about the figure. Without additional information about the figure, we cannot determine the measure of angle x.

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In step 3, Ellie make her first mistake.

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

Ellie compared 4/7 and 5/3 by first comparing each fraction to 1/2 and 1.

Here, All the steps are,

Step 1: 4/7 is less than 1 but more than 1/2.

Step 2: 5/3 is more than 1.

Step 3: so, 4/7 > 5/7

Now, In step 1;

⇒ 4/7 is less than 1 but more than 1/2.

⇒ 1/2 < 4/7 < 1

Thus, This is true.

In step 2;

⇒ 5/3 is more than 1

⇒ 5/3 > 1

Thus, This is true.

Step 3;

⇒ 4/7 > 5/7

This is not true.

Thus, In step 3, Ellie make her first mistake.

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

c and d i think

Step-by-step explanation:

that is the answer lol

Answer:

x = 109°

Step-by-step explanation:

x° is 37° + 72°, due to exterior angle property.

so x° = 109°

Answer:

\( \frac{53}{10} \)

Answer:

5  3/10

Step-by-step explanation:

Forget your whole number for now and just work on the fractions.

Find the lowest common denominator to use so you can subtract the fractions.

Tenths is the lowest common denominator so convert your fractions that is in fifths to tenths.

3/5 = x/10   multiply the bottom and top by 2

2 x 3 = 6

-------------      so 3/5 = 6/10

2 x 5  = 10

Subtract your whole numbers:  7 - 2 = 5

Subtract your fractions:  6/10 - 3/10 = 3/10

Answer is 5 3/10

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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