is 25 a perfect cube?

The results based on the information provided in the question will be as follows:

a) By using the analysis of variance (ANOVA) table,

MSE= 440.1/10 = 44.01

F = 2717.9/44.01 =61.756

b) To interpret the slope of regression model,

the slope represents that for each $1000 increase in the income of a family on an average sale price increase by 2184.3

c) To calculate the value of coefficient of determination and its interpretation,

0.712 and the lowest that coefficient of determination is 0 and highest is 1. Thus, here the coefficient is high.

d) By using regression equation,

Price = 11.8+2.18×income

Predicted value = (-11.8+2.18×20)×1000 = 31800

e) To compute, 95% confidence slope

= 2.1843/2.228×0.278 = 1.565;2.804

f) The linear relationship between income and price,

All the intervals above have a value of more than 0 therefore we can conclude that the slope is significant. Thus, we have sufficient evidence that at 0.05 level of significance the linear relationship between income and price is inter related.

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Note that the full question is:

The National Association of Home Builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. Data containing the median income $1000s) and the median sale price($1000s) for a sample of 12 honsing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. The following results were obtained. The regression equation is price-11.8 +2.18 income Predictor Coef StDev Constant11.80 12.84 income 2.1843 0.2780 S 6.634 Analysis of Variance Source Regression 1 2717.9 2717 DF SS MS F P Residuni Eror 10 440. Total 1 3158.0 a. Using the snalysis of variance table, find MSE b. Interpret the slope of the regression model. the valus ul and interpret it d. Using the estimated regression equation, the value ofy ifx-$20,000 e. Compute 95% confidence al for the slope 43-1+2.2280T g. At the 0.05 level of significunce, is there evidence of a linear relationship between income and price

Given:

The inequality is:

\(5x-y>-3\)

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

\(5x-y>-3\)

The related equation for this inequality is:

\(5x-y=-3\)

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

\(5(0)-(0)>-3\)

\(0>-3\)

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

The unit fraction of all the figures is \(\frac{1}{3}\). The number of units shaded are 3, 3, 2 and 3 units. The fraction shaded is 1, 1, \(\frac{2}{3}\) and 1.

What is a unit fraction?

A unit fraction is a rational number that may be expressed as a fraction with the denominator being a positive integer and the numerator being one. Hence, the multiplicative inverse of a positive integer is a unit fraction.

We are given four figures and each represent 1 whole.

So, the unit fraction of all the figures is \(\frac{1}{3}\) as all the figures are divided into three parts.

It is clear from the figures that apart from one figure, all the parts of the figures are shaded.

So, total number of units shaded is 3, 3, 2 and 3 units respectively.

Now, since all the parts are shaded apart from one figure, therefore the fraction shaded is 1, 1, \(\frac{2}{3}\) and 1.

Hence, the required solutions have been obtained.

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Since there are multiple questions so the question answered above is attached below.

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

b. x/8 + x/16 = 3/4

4 miles

Step-by-step explanation:

edge

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Answer:

40 degrees

Step-by-step explanation:

Answer:

40°F

Step-by-step explanation:

If you add 15 to -15 it's 0 and if you add another 15 that's 15 and if you add a 10 it brings it up to 25.

Answer:

C

Step-by-step explanation:

just did it and got right

Answer:

440

Step-by-step explanation:

Taking the test!

Good luck, buddy!

Answer:

B

Step-by-step explanation: 400 or 4ft x 10ft

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

77

Step-by-step explanation:

Hi! I think the answer is 77 because 7 times 11 = 77. Sorry if this isn't what ur looking for - Have a good day!

\(\huge\text{Hey there!}\)

\(\huge\text{MULTIPLES OF 7 \& 11 }\huge\boxed{\downarrow}\)

\(\bullet\ \large\boxed{\frak{7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, \ \& \ 91}}\\\bullet \ \large\boxed{\frak{11: 11, 22, 33, 44, 55, 66, 77, 88, \ \& \ 99}}\)

\(\huge\boxed{\star\ \frak{7\times11 = 77\ }\star}\)

\(\huge\text{Therefore, your answer is: \textsf{77}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

sorry sir i bunk my class when teacher studying this

Answer:

50.24 ÷ number of people

Step-by-step explanation:

When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!

hope this helps you....have a nice day..

Answer:

1) The null and alternative hypotheses.

H0: Hours of sleep per night is independent of age.

Ha: Hours of sleep per night is not independent of age.

Test Statistics χ²=4.009

The corresponding p-value for the test at χ²= 4.009 is 0.2604

Step-by-step explanation:

1) The null and alternative hypotheses.

H0: Hours of sleep per night is independent of age.

Ha: Hours of sleep per night is not independent of age.

2) The data is

                              ≤ 39           ≥ 40              Total

6 hours                    36               34                70

6.9-7 hours              60              57               117

7- 7.9 hours              79              77               156

8 hours or more       65              92              157

Total                       240           260             500

3) The expected values are computed as follows

260×70/500=36.4

240×117/500 =56.16

260×117/500 =60.84

240×156/500 =74.88

260×156/500 =81.12

240×157/500=75.36

260×157/500 =81.64

4) The squared distances are calculated as

{(36 - 33.6)^2}/{ 33.6} = 0.171

{(34 - 36.4)^2}{ 36.4} = 0.158

{(60 - 56.16)^2}/{ 56.16} = 0.263

{(57 - 60.84)^2}/{ 60.84} = 0.242

{(79 - 74.88)^2}/{ 74.88} = 0.227

{(77 - 81.12)^2}/{ 81.12} = 0.209

{(65 - 75.36)^2}/{ 75.36} = 1.424

{(92 - 81.64)^2}{ 81.64} = 1.315

5) The significance level is set at α=0.05 for df = (4 - 1) (2 - 1) =3

degrees of freedom.

6) The critical region for this test is χ² = χ² >7.815

7) Test Statistics

χ²=i=∑(O ij −Eij )2/Eij

=0.171+0.263+0.227+1.424+0.158+0.242+0.209+1.315

= 4.009

8) Conclusion

As the calculated value χ² =4.009 does not lie in the critical region ≤χ² =7.815, null hypothesis is not rejected.

Therefore, we conclude that there is not enough evidence to accept the alternate hypothesis , at the α=0.05 significance level.

The p-value for the test at χ²= 4.009 is 0.2604

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

jjztztjsyiydkkyddyoydoxhkyxyxi

Step-by-step explanation:

hmxkhxkyxhmxykxm

Answer:

I believe it should be A

Step-by-step explanation:

Answer:

Answer:A. gross pay − deductions = net income

Step-by-step explanation:

This type of data can be analyzed using a two-way analysis of variance (ANOVA) to determine the effect of both the day of the week (weekday or weekend) and the shift (morning or evening) on chair production. The manager can use this information to make predictions about future production based on the day of the week and shift.

The manager can start by creating a table to show the average number of chairs produced on each day of the week and shift. Then, a two-way ANOVA can be performed to determine if there is a significant difference in the mean number of chairs produced between weekdays and weekends, and between morning and evening shifts.

If the results of the ANOVA show that there is a significant effect of the day of the week and/or the shift on chair production, the manager can use this information to make more accurate predictions about future chair production. For example, if the results show that chair production is higher on weekdays compared to weekends, the manager can make predictions based on this information and allocate resources accordingly.

It is important to note that other factors such as the availability of materials, number of workers, and machine downtime can also impact chair production and should be considered when making predictions.

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Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

Answer:

A

B

E

Explanation:

The first, third and fifth options are valid as it mentions the three edges; no matter what the order is as long as the three points are mentioned its considered as the valid name

The total amount that the person with base salary 42000; total sales 175000; commission 4% gets is $51000.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. In this case, the percentage of commission is given as 4%.

The commission will be:

= Percentage × Amount

= 4% × 175000

= 7000

Therefore, the total amount that the person gets will be:

= Salary + Commission

= 42000 + 7000

= $51000

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Answer:

42.50 = 7.50x + 1.75

Step-by-step explanation:

The graph of the function f(x) = 4(2/3)^x is added as an attachment

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

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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The number 105 should be added to - 96 to get a sum of 9.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now,

Let the value of number = x

So, We can formulate;

⇒ x + (-96) = 9

Solve for x;

⇒ x - 96 = 9

Add 96 both side,

⇒ x - 96 + 96 = 9 + 96

⇒ x = 105

Thus, The number 105 should be added to - 96 to get a sum of 9.

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Answer:

x = 41

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 40^2 = c^2

81 + 1600 = c^2

c^2 = 1681

c = 41

Step-by-step explanation:

In order to find the hypotenuse of a right triangle, you must remember the theorem:

a² + b² = c².

40 to the second power is 1600, and 9 to the second power is 81.

Add these together for a total of 1681, but you're not done yet. We need to find what multiplied by itself equals 1681, since c is to the second power.

The square root is 41, so x is 41.