Sherwin is buying new windows for his house with his Home Makeover credit card. The windows cost $2,367.42. If he pays $215.22 a month, how many months will it take him to repay the cost of the windows?

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Solution: 0.57

Analysis:

In this exercise, we have two complementary events: Probability X occurs and probability X doesn't occur. In this case, the sum of both probabilities is equal to 1.

Answer:i dont know to do this stuff but i think you have to divide i think ???

Step-by-step explanation:

The absolute increase in population is 2200, and the relative increase is approximately 59.46%.

To find the absolute and relative increase in population, we can use the following formulas:

Absolute increase = Final value - Initial value

Relative increase = (Absolute increase / Initial value) * 100%

Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:

Absolute increase = 5900 - 3700 = 2200

To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:

Relative increase = (2200 / 3700) * 100% ≈ 59.46%

Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.

The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.

Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.

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Answer:

d) The t-distribution with 5 degrees of freedom must be used

Step-by-step explanation:

For cases of Normal Distribution where the variance is unknown and the sample size n is smaller than 30, we must use the t-student distribution.

The shape of the curve for t-student is bell-shape (flatter and with wider tails than the bell shape of normal distribution.

Actually, when we deal with t-student distribution we are dealing with a family of curves that will become closer and closer to the bell shape of the normal distribution as the degree of freedom increases. From values of n =30( and bigger),  we can assume that the curve of t-student is the same as for normal distribution

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

n-5

Step-by-step explanation:

Answer:

a = 41°

b = 57°

c = 82°

Step-by-step explanation:

all angles in a triangle must add up to equal 180°

Answer:

\(x \leq -4\)

There will be a filled-in hole at -4.

Step-by-step explanation:

We can solve an inequality the same way we do for equations. The only thing to keep in mind, is that multiplying by a negative number will result in flipping the inequality sign (< to > and vice versa)

\(-7x + 13 \geq 41 \text{ //}-13\\-7x \geq 28 \text{ //}:-7 \text{ (Notice we multiply by a negative number.)}\\x \leq -4\)

The difference between a filled-in and an empty hole in terms of inequality graphs, is whether or not the number limiting the inequality is included in it.

For example, in x > 3, 3 is limiting the inequality, however, it is not included in it, therefore, x would always be greater than 3.

In another example, \(x \leq -4\), -4 is limiting inequality and is included in it. Therefore, x would always be less than or equal to -4.

A filled-in hole means the number is included in the inequality, while an empty one means it isn't.

In our cases, -4 is included in the inequality (notice the line under the inequality sign that resembles "less than or equal to"), therefore there will be a filled-in hole at -4.

Answer:

\(u = x^{7} +8\)     \(du = 7x^{6} dx\)   result is \(\frac{1}{7} \sqrt[4]{u}\)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Vertex is a point where the rate of change or slope of the function is zero.

Since if the slope is zero it means the tangent at that point will be horizontal.

If the parabola opens up then the point where it is changing its direction will be vertex as shown below.

So vertex has a minimum value of y.

Hence "The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct".

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To give the patient a dose of 2g medication with a strength of 4g/0.4ml, you should administer 50 ml of the medication.

Given that,

Dose ordered: 2g of medication

Medication strength: 4g/0.4ml

Conversion factor: 10

To calculate the volume of medication you need to give the patient,

Use a simple formula:

Volume (in ml) = (Dose ordered / Strength) x Conversion factor

In this case,

The dose ordered is 2g and the strength is 4g/0.4ml.

To find the conversion factor,

Divide 4g by 0.4ml, which equals 10.

So, using the formula,

The volume of medication you need to give the patient would be:

Volume (in ml) = (2g / 0.4ml) x 10

Now, calculating this:

Volume (in ml) = 5 x 10

Hence, you should give the patient 50ml of medication.

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Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

If the initial velocity is 75 feet per second, it will take approximately 5.125 seconds for the ball to hit the ground.

The given formula h= -16t²+vt+s represents the height (h) of an object thrown vertically in the air at time (t), with initial velocity (v) and initial height (s). In this case, we are given that the initial height of the softball is 4 feet and the initial velocity is 75 feet per second.

We want to find out how long it will take for the ball to hit the ground, which means we want to find the time (t) when the height (h) is 0.

Substituting the given values into the formula, we get:

0 = -16t² + 75t + 4

This is a quadratic equation in standard form, which we can solve using the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

Where a=-16, b=75, and c=4. Substituting these values into the formula, we get:

t = (-75 ± √(75² - 4(-16)(4))) / 2(-16)

t = (-75 ± √(5625 + 256)) / (-32)

t = (-75 ± √(5881)) / (-32)

We can simplify the expression under the square root as follows:

√(5881) = √(49121) = 711 = 77

So we have:

t = (-75 ± 77) / (-32)

Simplifying further, we get two possible solutions:

t = 0.5 seconds or t = 5.125 seconds

Since the softball player hits the ball when it is 4 feet above the ground, we can disregard the solution t=0.5 seconds (which corresponds to when the ball is at its maximum height) and conclude that it will take approximately 5.125 seconds for the ball to hit the ground.

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Answer:

24

Step-by-step explanation:

⅕×⅚×3/7×21×16

⅙×9×16 (Cancelling 5 by 5 and 21 by 3)

⅙×144

24

Answer:

24

Step-by-step explanation:

Answer:

it means that the is high chance

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Step-by-step explanation:

mark above answer BRILLIANT

Answer:

$254.68

Step-by-step explanation:

145.80+252.95-44.32-15-84.75=$254.68

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The value of the standardized test statistic: -2.14

Explain hypothesis test.

A hypothesis test is a statistical procedure used to test a hypothesis about a population parameter. It involves comparing a sample statistic to a hypothesized value of the population parameter, using a test statistic and a pre-determined level of significance.

A. The value of the standardized test statistic: -2.14
B. The p-value is 0.0335 with explanation. This value is obtained by finding the probability of getting a t-statistic of -2.14 or less from the Student's t-distribution with 12 degrees of freedom (6 observations from each group). This p-value is less than the significance level of 0.05, so there is evidence to conclude that those who exercise regularly have lower resting heart rates.

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squared is to the second power, cubed is to the third power "³"

Step-by-step explanation:

833.3 I believe and u welcome if I'm right

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer:12.7

Step-by-step explanation:

Answer:

it's 12.7 on delta math

Step-by-step explanation:

Answer:

80  4

Step-by-step explanation:

80 + 4 = 84

80/4=20

Hope this helps :)