A large car company states that the brake system will function properly for 5.3 years with a population standard deviation of 0.9 years before needing maintenance. An independent research facility is concerned that the brake systems may not last as long as the company claims. They took a random sample of 40 cars made by the manufacturer and found the average to be 4.1 years. Based on ? = 0.01, what is the correct conclusion for the hypothesis test?

The expression for the volume of marble removed is (2t³/3).

The given information is as follows:

A sculptor cuts a pyramid from a marble cube with volume t^3 ft^3

The pyramid is t ft tall

The area of the base is t^2 ft^2

The formula to calculate the volume of a pyramid is,V = 1/3 × B × h

Where, B is the area of the base

h is the height of the pyramid

In the given scenario, the base of the pyramid is a square with the length of each side equal to t ft.

Thus, the area of the base is t² ft².

Hence, the expression for the volume of marble removed is given by the difference between the volume of the marble cube and the volume of the pyramid.

V = t³ - (1/3 × t² × t)V

   = t³ - (t³/3)V

    = (3t³/3) - (t³/3)V

   = (2t³/3)

Therefore, the expression for the volume of marble removed is (2t³/3).

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Answer:

d. 14

Step-by-step explanation:

I hope this helps!

The statement, "you are taller than your sister, your sister is taller than your mother, therefore you are taller than your mother" is an example of transitive property of inequality. Transitive property of inequality states that if a is greater than b and b is greater than c, then a is greater than c.

In the given example, a represents "you," b represents "your sister," and c represents "your mother." Therefore, according to the transitive property of inequality, if you are taller than your sister and your sister is taller than your mother, then you are taller than your mother.

As for writing more than 100 words about the transitive property of inequality, this property is a fundamental concept in mathematics that is used to compare numbers and determine the order of numbers.

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The value of average rate of change of y = 0.5x - 3 over the interval

- 3 ≤ x ≤ 4 is, 0.5.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ y = 0.5x - 3

Now, The average rate of change is,

⇒ y = 0.5x - 3

⇒ dy / dx = 0.5

Hence, The value of average rate of change of y = 0.5x - 3 over the interval  - 3 ≤ x ≤ 4 is, 0.5.

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Answer:

Your answer is $34.75

Step-by-step explanation:

plz mark me brainliest

Answer:

6

Step-by-step explanation:

Answer:

1

0.5

0

Step-by-step explanation: got it right on edge

Answer:

1

0.5

0

Step-by-step explanation:

just took it

Answer:

The Answer would be C) 3/4

Step-by-step explanation:

If you subtract a quarter of the number presented on right left hand on the picture you get the numbers presented on the left hand side of the picture shown. There fore the ratio is 3/4 or three quarters of the already existing number.

Answer:

Step-by-step explanation:

Jamie had 34 cookies to begin with. Let's use the information given to create an equation to solve for the number of cookies Jamie had to begin with:

Jamie gave 3 cookies to Anna, so she had x - 3 cookies left.

Elle received 5 more than twice what Anna received, so she received 5 + 2(3) = 11 cookies.

This means Jamie had x - 3 - 11 = x - 14 cookies left.

Half of what she had left was given to Grace, so she gave (x - 14)/2 cookies to Grace.

She now has 10 cookies, so:

x - 3 - 11 - (x - 14)/2 = 10

Simplifying this equation, we get:

2x - 44 = 40

2x = 84

x = 42

Therefore, Jamie had 42 cookies to begin with.

The answer is not one of the options given, but the closest option is (D) 34 . However, this is not the correct answer.

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Answer:

line not parallel to PQ

Step-by-step explanation:

Parallel lines have equal slopes

Calculate slopes m of both lines using slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (P (1, - 6) and (x₂, y₂ ) = Q (6, 14 )

\(m_{PQ}\) = \(\frac{14-(-6)}{6-1}\) = \(\frac{14+6}{5}\) = \(\frac{20}{5}\) = 4

Repeat with (x₁, y₁ ) = (- 4, - 8 ) and (x₂, y₂ ) = (- 1, 7 )

m = \(\frac{7-(-8)}{-1-(-4)}\) = \(\frac{7+8}{-1+4}\) = \(\frac{15}{3}\) = 5

Since slopes are not equal then lines are not parallel

Answer:

i think true hehehehehehehhehehehehe

Answer:

True

Step-by-step explanation:

Some people think a long drought may have occurred. However this information is not proven.

$17,449.27

Interest is the amount of money earned on an account.

Compound Interest

Interest rate is the percentage at which the account earns interest. For this account, the interest rate is 3.4%. Compound interest is when the amount of interest made increases over time. In the question, we are told that the interest on the account is compounded once every year. This means that the amount of interest earned increases once a year. We can use a compound interest formula to solve for the balance in the account in 5 years.

Solving Compound Interest

The compound interest formula is:

In this formula, P is the principal (initial investment), r is the interest rate in decimal form, n is the number of times compounded per year, and t is the time in years. Now, we can plug in the information we know and solve for the final balance.

This means that after 5 years, the balance in the account will be $17,449.27.

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

First lets define what is the equation of a line:

equation of a line is

y=mx +b

So, equation in slope intercept form would be y=mx +b

To calculate the slope m we would have to use the points (2, -1) and (-3,-1)​ and calculate the following formula:

slope= y2-y1/x2-x1

slope=-1+1/-3-2

slope=0

Therefore, equation in slope intercept form would be for points x -1 and y -1 would be:

-1=0*-1 + b

-1=b

Hence, y= -1

The supplied returns' variance is around 0.02495.

To calculate the variance, we need to follow these steps:

Step 1: Calculate the average return (mean) of the given returns.

Step 2: Calculate the squared differences between each return and the mean.

Step 3: Calculate the average of the squared differences, which gives us the variance.

Let's perform these calculations:

Step 1:

Average return (mean) = (16% + 6% - 25% - 3%) / 4 = -6%

Step 2:

Squared differences:

(16% - (-6%))² = (22%)² = 0.0484

(6% - (-6%))² = (12%)² = 0.0144

(-25% - (-6%))² = (-19%)² = 0.0361

(-3% - (-6%))² = (3%)² = 0.0009

Step 3:

Average of the squared differences:

(0.0484 + 0.0144 + 0.0361 + 0.0009) / 4 = 0.0998 / 4 = 0.02495

Therefore, the variance of the given returns is approximately 0.02495.

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Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:

base length = 10 feet

base width = 10 feet

pool depth = 20 feet

Volume of a material implies the maximum amount of substance that it can contain.

From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:

volume of the pool = length x width x height

                                = base area x height

Thus, given that the volume of the pool is 2000 cubic feet, then;

2000 = base area x height

i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;

volume = 10 x 10 x 20

            = 2000 cubic feet

The cost of constructing the pool of the assumed dimensions would be:

Total area of its sides = 4 x 200

                                    = 800 square feet

The cost of tiling the sides of the pool = $80 x 800

                                         = $ 6400.0

Area of the base of the pool = 10 x 10

                                            = 100 square feet

The cost of tiling the base of the pool = $40 x 100

                                         = $4000

Total cost = $6400 + $4000

                 = $10400

Total cost of constructing the pool with the assumed dimensions is $10400.

ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;

volume = 20 x 20 x 5

            = 2000 cubic feet

The cost of constructing the pool of the assumed dimensions would be:

Total area of its sides = 4 x 100

                                    = 400 square feet

The cost of tiling the sides of the pool = $80 x 400

                                         = $ 32000

Area of the base of the pool = 20 x 20

                                            = 400 square feet

The cost of tiling the base of the pool = $40 x 400

                                         = $16000

Total cost = $16000 + $32000

                 = $48000

Total cost of constructing the pool with the assumed dimensions is $48000.

Therefore, the dimensions that will minimize the cost of construction of the pool are:

base length = 10 feet

base width = 10 feet

pool depth = 20 feet

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Answer:

x = 7

y = 0

Step-by-step explanation:

use substitution method:

2(-6y + 7) - 9y = 14

-12y + 14 - 9y = 14

-21y = 0

y = 0

x = -6(0) + 7

x = 7

Step-by-step explanation:

Hey there!

Given eqautions are;

2x-9y= 14……………(i)

x= -6y+7………………(ii)

~ Putting the value of"x" from eqaution (ii) in eqaution (i).

2(-6y+7) - 9y = 14

~ Simplify it.

-12y +14 -9y= 14

21y = 0

y =0/21

Therefore, y= 0.

Now,

~ Put value of "x" on eqaution (ii).

X = -6(0)+7

x= (0)+7

x= 7

Therefore, x= 7.

Check:

Putting the value of X and y in eqaution (ii)

7= -6(0)+7

7=7(True).

x= 7

y= 0

Hope it helps....

Answer: B. the two triangles are not Side-side-side

From the diagram, the two triangles are similar based on the angle-angle similarity theorem.

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

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, the two triangles are similar based on the angle-angle similarity theorem.

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Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

The dimensions  and volumes of the various containers that can be ,made with the 3 meters × 3 meters sheet of fine wire indicates that the maximum volume possible is 2 m³

The volume of a rectangular prism container is the product of the base area and the height of the container.

The volume of the open-topped container formed by the 3 m × 3 m sheet of fine wire mesh can be presented as follows

Step 1:

\(\begin{tabular}{|c|c|c|c|c|c|} \cline{1-5}Corner cut (m) & Length (m)&Width (m)&Height(m)&Volume (m^3) \\ \cline{1-5}0& 3&3&0&0 \\ \cline{1-5}0.5 & 2&2&0.5&2 \\ \cline{1-5} 1& 1&1&1&1 \\ \cline{1-5} \cline{1-5}\end{tabular}\)

Step 2; Let x represent the corner cut

Step 3; The expression for the new side length can be found as follows;

When x is cut from each corner, the new side length is; 3 - 2·x

Step 4: The expression for the volume can be obtained from the volume of a cube formula, which is; V = L × W × H

Where;

L = The length of the box = 3 - 2·x

W = The width of the box = 3 - 2·x

H = The height of the box = x

Therefore, the volume of the container is; x·(3 - 2·x)²

Step 5: Please find attached the graph of the volume function created with MS Excel

Step 6; The value of the volume cut that generates the (optimal) maximum volume, obtained from the graph is; x = 0.5

Step 7 The values in the table indicates that when x = 2, the volume will be 3 m³, which is the maximum volume.

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Answer:

try D

Step-by-step explanation:

it's the closest I could get on Desmos

Answer:

D.

Step-by-step explanation:

for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.

For a two-tailed test at a 12.66% significance level, we need to find the critical value of z.

Step 1: Determine the significance level for each tail.
Since this is a two-tailed test, we need to divide the overall significance level (12.66%) by 2. This gives us 6.33% (or 0.0633 in decimal form) in each tail.

Step 2: Find the z-score associated with the given significance level.
To find the critical value of z, you can use a z-table or an online calculator. We are looking for the z-score that corresponds to the area to the right of it (for the positive critical value) equal to 0.0633.

Using a z-table or calculator, you'll find that the z-score is approximately ±1.53.

So, for a two-tailed test at a 12.66% significance level, the critical values of z are approximately +1.53 and -1.53.

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Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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The slope of the linear equation is -3/4 and the y-intercept is 3.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here the line passes through (0, 3) and (4, 0), the slope is:

a = (0 - 3)/(4 - 0) = -3/4

And because of the point (0, 3) we know that the y-intercept is 3.

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Answer:

Distance AB is 18.79 units

Step-by-step explanation:

Given two points with coordinates as:

A= (-4,7)

B= (-12, -10)

To find:

Distance AB = ?

Solution:

To find the distance between two points with given coordinates, we can use Distance formula.

Distance formula  is given as:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

where \((x_1, y_1)\) and \((x_2, y_2)\) are the two coordinates whose distance is to be find out.

\(x_1 = -4\\y_1 = 7\\x_2 = -12\\y_2 = -10\)

\(AB = \sqrt{(-12-(-4))^2+(-10-7)^2}\\\Rightarrow AB = \sqrt{(-8)^2+(-17)^2}\\\Rightarrow AB = \sqrt{64+289}\\\Rightarrow AB = \sqrt{353}\\\Rightarrow \bold{AB = 18.79\ units }\)

Distance AB is 18.79 units

Answer:

AB = 18.8 units

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane.

distance between those two points = \(\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }\)

given points are

A= (-4,7)

B= (-12, -10)

\(AB = \sqrt{(-4 -(-12))^{2} + (7-(-10))^{2} }\\AB = \sqrt{(-4 +12)^{2} + (7+10)^{2} }\\AB = \sqrt{(8)^{2} + (17)^{2} }\\AB = \sqrt{64 + 289 }\\AB = \sqrt{353 }\\AB = 18.79\)

Thus, length of AB is 18.79 units

since, value of hudredth of unit is 9 which is greater than 9 then rounding the value to nearest tenth of unit we increase the value at tenth of unit place by that is 7 becomes 8

length of AB  to the nearest tenth of a unit is 18.9 units

Answer:

answer is 50.

Hope that it is helpful. Vote and like me

Answer: the zeros are x = 7, -3

Step-by-step explanation: