Using the frequency table given, find the mean, median, and mode.

You must show all of your work to receive credit.

Answer:

40 questions

Step-by-step explanation:

100-85=15

15/100=6/x

cross multiply

15x=100(6)

15x=600

x=40

there were 40 questions on the test

hopes this helps please mark brainliest

To estimate the volume of water in the rectangular swimming pool using the Trapezoidal Rule, we need to consider the depth of the water at various intervals.

Given that the width of the pool is 30 ft and the length is 50 ft, we can divide the pool into equal intervals of 5 ft. The table provided likely shows the depth of the water at these 5-ft intervals.

Using the Trapezoidal Rule, we approximate the volume of water by dividing the pool into trapezoids and summing their volumes.

To calculate the volume of each trapezoid, we need the average depth of water at each interval. We can compute this by taking the average of the depths at the interval boundaries.

Next, we calculate the width of each trapezoid, which is the length of the pool (50 ft) since the pool's width remains constant.

Finally, we multiply the average depth by the width and sum the volumes of all the trapezoids to estimate the total volume of water in the pool.

To apply the Trapezoidal Rule more accurately, the number of intervals should be increased (n > 10). The larger the value of n, the more accurate the estimation of the volume will be.

The values of the depths are to be provided at the 5-ft intervals from one end of the pool to the other, and we can proceed with the calculations to estimate the volume of water in the pool using the Trapezoidal Rule.

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Step-by-step explanation:

\(f(x) = {x}^{4} + 4 {x}^{3} - 2 {x}^{2} + 11x - 6\)

\(f(3) = {3}^{4} + 4. {3}^{3} - 2. {3}^{2} + 11.3 - 6\)

\(f(3) = 81 + 4.27 - 2.9 + 33 - 6\)

\(f(3) = 81 + 108 - 18 + 33 - 6\)

\(f(3) = 198\)

Answer:

Step-by-step explanation:

x4 + 4x3 - 2x2 + 11x - 6 for x = 3

3^4 + 4 * 3^3 - 2 * 3^2 + 11 * 3 - 6 =

81 + 4 * 27 - 2 * 9 + 11 * 3 - 6 =

81 + 108 - 18 + 33 - 6 =

198

Jen's motorboat travels at a speed of 13 mph in still water. Given that the Booth River flows at a speed of 4 mph, it will take Jen approximately 2.00 hours to travel 20 miles upstream.

To calculate the time it takes for Jen to travel upstream, we need to consider the relative velocities of the boat and the river. When traveling upstream, the boat's speed is reduced by the speed of the river. Therefore, Jen's effective speed is 13 mph - 4 mph = 9 mph. To cover a distance of 20 miles at a speed of 9 mph, we divide the distance by the speed: 20 miles / 9 mph = 2.22 hours. Rounded to the nearest hundredth, the time it takes Jen to travel 20 miles upstream is approximately 2.00 hours.

It's worth noting that the time required to travel downstream would be different due to the added velocity of the river. However, the problem only asks for the time taken to travel upstream.

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Answer: if you need me to combine, its x6+y3. if not, say please

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

\(\boxed{midpoint = ( \frac{x1 + x2}{2}, \frac{y1 + y2}{2}) }\)

Thus, midpoint of the line segment is

\( = ( \frac{3 - 1}{2} , \frac{1 - 1}{2} ) \\ = ( \frac{2}{2} , \frac{0}{2} ) \\ = (1,0)\)

Answer:

642-64-22-2-2-6

Step-by-step explanation:

Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?

Answer:

The greatest number in the set is 6.06.

Step-by-step explanation:

There is no solution to the system. This means that the equation 2 = -2 in the system is inconsistent.

What is a system of equations?

A system of equations is a collection of two or more equations that are solved simultaneously. Each equation in the system represents a constraint or condition that must be satisfied, and a solution to the system is a set of values that satisfies all of the equations in the system simultaneously.

If you attempt to solve a system of equations and you get a statement like 2 = -2, it means that the equations in the system are inconsistent. An inconsistent system of equations has no solution because there is no set of values that can simultaneously satisfy all of the equations.

Hence, as these equations are contradictory, there is no solution to the system. This means that the equations in the system are inconsistent.

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gg I dont now

54

78

so its

78

I'm not sure you're not giving enough information but I'd probably go with B

STEP1: Equation at the end of step 1

(2x • (5x - 2)) + (2x + 1) • (8 - 5x)

STEP2: Equation at the end of step 2

2x • (5x - 2) + (2x + 1) • (8 - 5x)

..............................................................................

Final result :

7x + 8

Answer:

\(=\left(x-4\right)^2\)

Step-by-step explanation:

\(x^2-8x+16\\\mathrm{Rewrite\:}x^2-8x+16\mathrm{\:as\:}x^2-2x\cdot \:4+4^2\\x^2-8x+16\\\mathrm{Rewrite\:}16\mathrm{\:as\:}4^2\\=x^2-8x+4^2\\\mathrm{Rewrite\:}8x\mathrm{\:as\:}2x\cdot \:4\\=x^2-2x\cdot \:4+4^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2\\a=x,\:b=4\\=\left(x-4\right)^2\)

Answer:

0

Step-by-step explanation:

Since it is asking you to factor out the quadratic, you need to make it equal zero first. -4 times -4 is both 16 and -8. So that means (x-4)^2

Answer:H2+Br2-->2HBr

Step-by-step explanation:

The amount of atoms on the left side must be equal to the amount of atoms on the right side for each element.

On the left you got 2xH and 2xBr.

This means you must have the same amount on the right.

2HBr =2xH + 2xBr

Answer:

Should be 160

Answer:

GH= half of DF

so, 114= 38 - 3x

3x= 76

x= 76/ 3

The best point estimate is 15 hours. The 95% confidence interval for the population mean is (14.71, 15.29).

The best point estimate of the population mean is the sample mean, which is 15 hours since it was stated in the problem that the average time spent by college students on computer gaming is 15 hours.

To calculate the 95% confidence interval for the population mean, we use the formula:

CI = \(\bar{X}\) ± z*(σ/√n)

where \(\bar{X}\) is the sample mean, z is the z-score corresponding to the desired level of confidence (in this case, 95% corresponds to a z-score of 1.96), σ is the population standard deviation (given as 3), and n is the sample size (given as 350).

Plugging in the values, we get:

CI = 15 ± 1.96*(3/√350)

Simplifying, we get:

CI = 15 ± 0.29

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Answer:

I believe the answer would be 4.2

Step-by-step explanation:

Reason for this is because I divided 12.6 by 3 and got 4.2, then I added 4.2 + 4.2 and got 8.4, so then I added 4.2 to 8.4 and got 12.6. Hope this helps :)

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer: $15

Step-by-step explanation:

Jasmine needs 300 centimeters

$5 each meter

The first step you need to do is convert 300 centimeters to meters, because it’s $5 for each meter.

(You can use the King Henry Chart to help you)

So, 1 centimeter is 1/100 meter

How much is 300 centimeters in meters?

300x1/100

= 300/100

=3

300 cm= 3m

Now, there is $5 for each meter.

How much does it cost for 3 meters?

= 5x3

= $15

It will cost her $15

In a simple linear regression problem, some key assumptions are made to ensure the model's validity and reliability. Out of the given options, assumption (c) is stated incorrectly.

Assumption (a) states that the distribution of the error term is normal. This assumption is correct, as the error term's normal distribution allows for accurate statistical inferences and hypothesis testing in the regression analysis.
Assumption (b) states that the mean of the error term is 0. This assumption is also correct, as it implies that there is no systematic bias in the model. The errors, on average, should not overestimate or underestimate the dependent variable.
Assumption (c) states that the variance of the error term increases as x increases. This assumption is incorrect, as it contradicts the homoscedasticity assumption in linear regression. The correct assumption is that the variance of the error term should be constant across all levels of the independent variable (x). This constant variance ensures that the model's predictions are equally reliable for all values of x.
Assumption (d) states that the errors are independent. This assumption is correct and crucial for a linear regression analysis. The independence of errors means that the error term for one observation is not related to the error term of any other observation. This prevents any underlying patterns or relationships in the data from being mistakenly attributed to the linear relationship between the independent and dependent variables.
In summary, assumption (c) is stated incorrectly, as the variance of the error term should remain constant across all values of the independent variable in a simple linear regression analysis.

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The per capita growth rate is 5% and the new population size after one year will be 210 individuals

An equation is an expression that shows the relationship between two or more variables and numbers.

The per capita growth rate is given as:

per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%

In one year, population = 200 + (0.05 * 200) = 210

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

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The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

B

Step-by-step explanation:

because of order if operations.

Answer:

B

Step-by-step explanation:

The rule of PEMDAS states to start from parenthesis. To get your correct answer, you would need to prioritize what comes first going left to right.

If you were to select A, (/5) would be prioritized. D. Has the order placed in correctly, as well as C.

Joshua can claim expenses from his business and charitable donations as deductions, and they will reduce the taxable income.

Joshua can claim expenses from his business and charitable donations as deductions, and they will reduce the taxable income.

By claiming business expenses, Joshua can deduct the costs incurred in running his lawn care business, such as equipment, supplies, and advertising expenses, from his total income.

This reduces the taxable portion of his income. Additionally, since Joshua's donations to the local charity are made to a qualified charitable organization, he can claim them as charitable deductions.

This means that he can subtract the donated amount from his taxable income, further reducing the tax liability.

By taking advantage of these deductions, Joshua can lower his taxable income and potentially decrease the amount of taxes he owes to the IRS.

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