Find the area and length of the shaded sector!! WILL MARK BRAINLIEST THANK YOUUU I LOVE YOU

We perform separate one-sample t-tests, interpret the p-values, assume a normal distribution, and evaluate the assumption through visual assessments of the data.

To test whether the mean moisture content is less than 0.35 pounds per 100 square feet for Boston and Vermont asphalt shingles, we can conduct separate one-sample t-tests for each group. Let's analyze the questions step by step:

a. For the Boston shingles, we can set up the following hypotheses:

Null hypothesis (H0): The population mean moisture content is equal to or greater than 0.35 pounds per 100 square feet.

Alternative hypothesis (H1): The population mean moisture content is less than 0.35 pounds per 100 square feet.

We can perform a one-sample t-test using the Boston shingles data with a significance level of 0.05.

b. The p-value in part (a) represents the probability of observing a sample mean moisture content as extreme as, or more extreme than, the one obtained, assuming that the null hypothesis is true. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean moisture content is less than 0.35 pounds per 100 square feet.

c. For the Vermont shingles, we can set up similar hypotheses as in part (a).

d. The interpretation of the p-value in part (c) would be the same as in part (b). If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean moisture content is less than 0.35 pounds per 100 square feet.

e. The assumption about the population distribution that is needed to conduct the t-tests in parts (a) and (c) is that the moisture content follows a normal distribution.

f. To evaluate the assumption of normality, we can construct histograms, boxplots, or normal probability plots of the moisture content data for both the Boston and Vermont shingles.

g. Based on the histograms, boxplots, or normal probability plots, we can assess whether the data appear to be approximately normally distributed. If the data points follow a reasonably symmetric bell-shaped pattern, it suggests that the assumption of normality is valid.

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the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.

The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)

Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)

Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft

Substituting L = 2 in the area equation, we get:
W = 4 ft

Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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The option that could be the sides of a Right Triangle is 2.5 cm, 6.5 cm, 6 cm   , the correct option is (a) .

In the question ,

it is given that ,

four options are given that have the three sides of the triangle ,

we have to select the sides that forms a right triangle .

If the sides form a right triangle , then

square of the longest side is equal to square of the other two sides .

In option (a) the  sides are given as 2.5 cm, 6.5 cm, 6 cm .

So ,

(6.5)² = 6² + (2.5)²

42.25 = 42.25

Since LHS = RHS ,

So , Yes , the sides given in option (a) forms a right triangle .

Therefore , the correct option is (a) .

The given question is incomplete , the complete question is

Which could be the sides of a right triangle ?

(a) 2.5 cm, 6.5 cm, 6 cm

(b) 2 cm, 2 cm, 5 cm

(c) 1.5 cm, 2.5 cm, 4 cm

(d) 2 cm, 3 cm, 5 cm

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Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

The area of the rug is 1,440 square inches and the sum of partial product is always equal to the area, 1440 square inches.

The area of the rug using the formula:

length x width = area.

The area of the rug is:

32 inches x 45 inches = 1440 square inches.

Refer figure for Erin and Frannie's design. Consider Erin's design

green = 30×5 = 150

red = 2×5 = 10

blue = 2×40 = 80

yellow = 30×40 = 1200

total area = green + red + blue + yellow

= 150 + 10 + 80 + 1200

= 1,440

Now consider Frannie's design

red = 5×1 = 5

blue = 35×1 = 35

green = 5×30 = 150

yellow = 35×30 = 1050

total area = 4red + 2blue + 2green + yellow

= 4×5 + 2×35 + 2×150 + 1050

= 20 + 70 + 300 + 1050

= 1,440

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Answer:

ddddddddddddddddddddddddddddc

Step-by-step explanation:

cccccccccc

Answer:

tell me if im wrong but. 45?

Step-by-step explanation:

Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is 0.58.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability.

Assume that events A and B are two independent occurrences with probabilities P(A) and P(B), respectively, such that the probability that event B will occur given that event A is given by: P(B|A) = P(A∩B)/P (A)

Given:

Percentage of the students who have part-time jobs, P(A) = 73%

Percentage of the students who participate in at least one school-sponsored activity, P(B)= 65%

Percentage of the students who work part-time and participate in at least one school-sponsored activity, P(A∩B) = 42%

The probability that the person participates in at least one school-sponsored activity given that the student works part-time is:

P(B|A) = P(A∩B)/P(A)

          = 42/73

          = 0.58

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Answer:

0.575

Step-by-step explanation:

nice job

Answer:

question 3 = 9x^2 -81

question 4 = 36x^4-84x^2y^3+49y^6

question 5 = 64x^8 +90x^4y^3+25y^6

Step-by-step explanation:

see photo

Answer:

4.5 Cubic Feet

Step-by-step explanation:

1. You want to find the volume of the box. (Length x width x height)

2.5 x 2 x 1.5 = 7.5

2. The present has a volume of 3 cubic feet, so you would subtract that from the volume of the box.

7.5 - 3 = 4.5

3. The volume of the empty space in the box is 4.5 cubic feet.

Hope this helped! :)

Answer:

20 mi

Step-by-step explanation:

5/6 x 24 = 120/6 = 20

Answer:

20 mi

Step-by-step explanation:

If Kyla runs 5/6 miles each day, multiply 24 by 5/6.

5/6 × 24 = 120/6

= 20

20 miles.

Answer:

x = 4

Step-by-step explanation:

Given y is inversely proportional to x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of proportion

To find k use the condition when y = 10, x = 2 , then

10 = \(\frac{k}{2}\) ( multiply both sides by 2 )

20 = k

y = \(\frac{20}{x}\) ← equation of proportion

When y = 5

5 = \(\frac{20}{x}\) ( multiply both sides by x )

5x = 20 ( divide both sides by 5 )

x = 4

The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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Answer:

Step-by-step explanation:

volume of box = 56 ft³

base = 4

width = 1/2

height = ?

volume = base x width x height

56 = 4 x 0.5 x h

56 = 2h

h = 56 / 2

h = 28

therefore, the height of the box is 28 ft

Answer: 12, 18, 24

Step-by-step explanation:

Answer:

it's 19

Step-by-step explanation:

the answer it's 19

The parametric equations of the line of intersection between the planes x - y + z = 0 and x + 2y + 3z = 6 are x = 2t + 6, y = t, and z = -t - 6.



To find the parametric equations of the line of intersection between two planes, we need to determine a point on the line and find its direction vector.

First, we solve the system of equations formed by the two planes: x - y + z = 0 and x + 2y + 3z = 6. By eliminating x, we get -3y - 2z = -6.Setting y = t and z = s as parameters, we can express the point on the line as (x, y, z) = (2t + 6, t, s).Now, substituting these values into the first equation, we obtain 2t + 6 - t + s = 0, which simplifies to t + s = -6.

Therefore, the parametric equations for the line of intersection are:

x = 2t + 6

y = t

z = -t - 6, where t and s are parameters.

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the probability of drawing a spade or a red card from a standard deck of cards is 3/4. The answer is option b.

To find the probability of drawing a spade or a red card from a standard deck of cards, we need to determine the number of favorable outcomes (spades and red cards) and the total number of possible outcomes (all cards in the deck).

In a standard deck of cards, there are 52 cards in total, with 13 cards in each of the four suits (spades, hearts, diamonds, and clubs). Among these, there are 26 red cards (hearts and diamonds) and 13 spades.

To find the probability, we add the number of favorable outcomes (spades and red cards) and divide it by the total number of possible outcomes (52):

P(spade or red card) = (13 + 26) / 52

                     = 39 / 52

                     = 3 / 4

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Answer:

Step-by-step explanation:

g

El número de amigos que reciben 2/7 de la pizza es de 7 personas.

Por cierto dividimos 2 pizzas con 2/7 = 2 : 2/7 = 7 personas

Las comparaciones en matemáticas también pueden denominarse proporciones.

Entonces, ¿qué es una comparación o razón?

La comparación (razón) es una técnica o forma de comparar dos cantidades.

Escribir proporciones o comparaciones se puede escribir como a : b o a/b donde a y b son dos cantidades que tienen las mismas unidades.

A continuación se explicarán ejemplos de aplicación de comparaciones en la vida cotidiana.

Comparaciones en la vida cotidiana

Hay muchas aplicaciones de la comparación en la vida cotidiana. Escribir la escala en un mapa es una aplicación de la comparación.

Luego, cuando vamos a hacer pan suele haber una mezcla de masa de harina de trigo y harina de tapioca.

Por ejemplo, la proporción es de 2:1, lo que significa que para hacer el pan necesitas 2 partes de harina de trigo y 1 parte de harina de tapioca.

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23$ is the total cost .

What is cost and example?

the total cost = 13$ + 10$= 23$ because he losses a hour in work .

13$ and additionally spending 10$ in carnival .

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(4x+2)=(5x-25)

4x-5x=-25-2

-x=-27

x-27

x = 27

4x + 2 = 5x - 25

First, you need to move the 2 to the other side of the equation to make it: 4x = 5x -25 - 2. Now evaluate what -25 - 2 is then you'll have: 4x= 5x + 27. Now move 5 to the other side of the equation: 5x-4x= 27 = x = 27

so, our answer is x = 27

Answer: I'm pretty sure that the answer is a

Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

6*[4-(42-63)]=

6*[4-(-21)]=

6*[4+21]=

6*25=150.

6*[4-9÷3]=

6*[4-27]=

6*(-23)=-138.

6*[4-3]=

6*1=6.

The graph of the given function, g(x) = -5^x + 5, is shown below

From the question, we are to graph the given function.

From the given information,

The given function is

g(x) = -5^x + 5

To graph the function, we will determine some of the points on the line

When x = -2

g(2) = -5^(-2) + 5

g(2) = -1/25 + 5

g(2) = 4 24/25 = 4.96

When x = -1

g(1) = -5^(-1) + 5

g(1) = -1/5 + 5

g(1) = 4 4/5 = 4.8

When x = 0

g(0) = -5^(0) + 5

g(0) = -1 + 5

g(0) = 4

When x = 1

g(1) = -5^(1) + 5

g(1) = -5 + 5

g(1) = 0

When x = 2

g(2) = -5^(2) + 5

g(2) = -25 + 5

g(2) = -20

Using the above points, the graph of the function is shown below.

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Answer:

time = 70 minutes

Answer:

Hi! You're uspposed to check the equality, and it is false. 8/10 is not equal to 6/5.

However, If you add the two together by making the common denominator 10, you will get 20/10 or 2.

Answer:

4/5=6/5 :3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

5(x^2 - 9) - 5 = -5

5x^2 - 45 = 0

5x^2 = 45

x^2 = 9

x = 3

Answer:

3

Step-by-step explanation:

I did the test

Hope this helps :)