Making auto parts A grinding machine in an auto
parts plant prepares axles with a target diameter
p = 40.125 millimeters (mm). The machine has
some variability, so the standard cleviation of tlic
diameters is a = 0.002 mm. The machine operator
inspects a random sample of 4 uxles cach hour for
quality control purposcs and records llic sample
mcan diameter 1. Assuming that the process is work-
ing properly, what are the mean and standard devia I
fion of the sampling distribution of ? Explain.

Answer:

Definitely not

Step-by-step explanation:

60*45 = 2700 and 2700 square inches converted into feet is 225 square feet

Answer:

[tex]\boxed{ \bold{x = -1 }}[/tex]

Explanation:

[tex]\rightarrow \sf 32x-16+48=0[/tex]

simplify

[tex]\rightarrow \sf 32x+32=0[/tex]

subtract both sides by 32

[tex]\rightarrow \sf 32x+32-32=0-32[/tex]

simplify

[tex]\rightarrow \sf 32x=-32[/tex]

divide both sides by 32

[tex]\rightarrow \sf \frac{32x}{32} =\frac{-32}{32}[/tex]

final answer

[tex]\rightarrow \sf x=-1[/tex]

[tex]32x - 16 + 48 = 0 \\ 32x - 16 = - 48 \\ 32x = 16 - 48 \\ 32x = - 32 \\ x = - \frac{32}{32} \\ x = - 1[/tex]

x = -1

Answer:

-3+-3=-6

Step-by-step explanation:

start from the right go to the left.

+- = a negative gain

After solving simultaneously we found the values for x and y are

2.76 and 5.65 respectively

We have the following two expressions

7x – 2y = 34 --------1

3x + 5y = -3 ---------2

Multiply 1 by eqn 5 and eqn 2 by 2

35x - 10y = 170-------3

6x + 10y = -6 ----------4

subtracting 4 from 3 we have

29 x= 164

divide both sides by 29

x = 164/29

x = 5.65

Put x = 5.65 in eqn 1 to find y

7*5.65 – 2y = 34

39.55 - 2y = 34

39.55-34 = 2y

5.55 = 2y

divide both sides by 2

x = 5.55/2

x = 2.76

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Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:
Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer chioces:

-----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

-----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

-----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

-----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

-----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

-----------------------------------------------------------------------------------------------------------

[RevyBreeze]

Answer:

3x - 4

---------

10(x + 3)

Step-by-step explanation:

  x -2            x - 3

----------- ( - ) ----------

2x + 6         5x + 15

Multiply both sides by the denominator

 5(x - 2)           2( x - 3)

-----------   ( - )    ----------

5(2)(x + 3)      2(5)(x + 3)

multiply the numbers together

5x - 10          2x - 6

----------- ( - ) ---------

10(x + 3)      10(x + 3)

Subtract the numberator

5x - 10 - (2x - 6)

5x - 10 - 2x + 6

5x - 2x = 3x

-10 + 6 = -4

3x - 4

3x - 4

----------

10(x + 3)

I hope this helps!

Answer: 2^3 - 16 : 2 +  5^2 = 25/1 = 25

Step-by-step explanation:

Exponentiation: 2 ^ 3 = 8Divide: 16 / 2 = 8Subtract: the result of step No. 1 - the result of step No. 2 = 8 - 8 = 0Exponentiation: 5 ^ 2 = 25Add: the result of step No. 3 + the result of step No. 4 = 0 + 25 = 25

Answer:

C) 63°

Step-by-step explanation:

Just add the numbers up together to get your solution

Answer:

The answer would be 201.06

Step-by-step explanation:1. You need to have the radius and not the diameter so you would divide 16 by 2 to get 8.
2. You would plug 8 into the formula A=π[tex]r^{2}[/tex], meaning it would be A=π[tex]8^{2}[/tex]
3. 8 Squared is equal to 64 so the formula would now be A=π64
4. 64 x π = 201.06 giving you your final answer.
I hope that helps!

Answer:

200.96 mi²

Step-by-step explanation:

Before, finding the area of the circle, first, let us find the radius.

Given that,

diameter ( d ) ⇒ 16 mi

Let us use the below formula to find the radius of the circle.

d = 2r

16 = 2r

Divide both sides by 2.

8 mi = r

And let us find the area of the circle using the below formula.

A = π r²

A = π × 8 × 8

A = 3.14 × 64

A = 200.96 mi²

Answer:

it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.

Step-by-step explanation:

In this problem. We have a ladder that's leaning against the wall of a building. KR ladder is 13 feet long. Okay, I'm going to go ahead and label that l for ladder. You see, we form a right triangle here. I'm gonna label the horizontal acts and the vertical. Why? We are told that the bottom of the ladder is moving away from the building at a rate off 0.5 feet per second. So that's DX DT. Secret will 0.5 feet per second. What we're trying to find is how quickly the top of the ladder is moving down the wall when the base of the ladder is five feet from the wall. Okay, so the point where X is five feet, we want to know how quickly the latter is moving down the wall. So we have a Pythagorean theorem here. X squared plus y squared is equal to elsewhere. I want to go ahead and substitute in 13 for L. Because that is constant. It's not going to change so we can go ahead and put in 13. I want to take the derivative of both sides with respect to t. I'm gonna have to X dx DT plus two. Why d y d t and that's going to be equal to will. The derivative of a constant is just zero. Now I'm gonna substitute in what? We know. I have a two here. I know. Access five. I knew. Know that DX DT is 0.5. I do not know why at this point, OK, But I know I'm trying to solve for d y t t. So I'm gonna go have put that in there. So off to the side. I have to figure out what? Why is well using my migrant there? I'm here. I know access five I'm solving for why? And I know l is 13. So why squared is going to be equal to 13 squared minus five squared, which is 144. Why is equal to 12 so I can go ahead and put 12 in here going to calculate this out? This is gonna be five plus 24 d Y d t is equal to zero. 24 d Y d t is going to be equal to negative five, so it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.

The top of the ladder moving down the wall when its base is 1 feet from the wall is 6.86 ft per second.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that the base of the ladder is pulled away from the wall at a rate of 5 feet per second when its base is 1 feet from the wall. Then the time will be;

Speed = distance/time

2 = 7/t

t = 7/2 = 3.5 seconds

Using pythagorean theorem to get the length L of the wall;

L² = 25² - 7²

L = 24

The ladder will move down the length at the same time.

Rate = 24/3.5

Rate = 6.86 ft/s

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Answer:

B. -- investing activities

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

[tex]y = \frac{2}{3}x + 4[/tex]

Step-by-step explanation:

The rule for graphs is:

[tex]y = mx + c[/tex]

Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)

We can work out c by looking at our graph.

Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]

To work out our gradient of a straight line (which is what we have)

We use the formula:

[tex]m = \frac{\triangle y}{\triangle x}[/tex]

The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.

To calculate the change in y, we can pick any two points on our line!

Let's go for (0, 4) and (-6, 0)

To work out the gradient:

[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]

Using our formula

[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]

Answer:

The number is -20.

Step-by-step explanation:

If x is the number, then 3(x+4)=2x-8.

3x+12=2x-8

x=-20

Answer:

- 20

Step-by-step explanation:

if the number if x then 3(X+y 4= 2X-8: 3X+12= 2x-8

x = -20

Answer:

38.6 in^2

Step-by-step explanation:

Find the third side using law of cosines

11.1^2 + 7^2 - 2(11.1)(7)cos 84   = x^2

  x = 12.49

semi perimeter =  (11.1 + 7 + 12.49)/2 = 15.29

Heron's formula for triangle area with 3 side lengths given

sqrt( ( 15.29)(15.29-11.1)(15.29-7)(15.29-12.49) ) = 38.56 in^2

Answer:

7c (2d - 1)

Step-by-step explanation:

Common factorization

Answer:

[tex]\bold{ 7c(2d - 1)}[/tex]

Step-by-step explanation:

[tex]\sf \rightarrow 14cd - 7(c)[/tex]

take 7(c) as common factor

[tex]\sf \rightarrow 7c(2d - 1)[/tex]

factorised

[tex]\sf 7 c(2d - 1)[/tex]

Answer:

490.87 ft^3.

Step-by-step explanation:

Radius = 1/2 * 5 = 2.5 ft.

Volume = π r^2 L

= π*2.5^2*25

= 490.87 ft^3

Answer:

B. it is a one-to-one function

Step-by-step explanation:

since the line is curving a bit while passing.

Answer:

15÷86400=???×86400

Step-by-step explanation:

O 15 sendo dividido pelo 86400 dará o resultado e multiplicando o resultado com 86400

Answer:

d = h/1.43

Step-by-step explanation:

Given

To Find

Solving

⇒ tan 55° = h/d

⇒ 1.43 (approx.) = h/d

⇒ d = h/1.43

[∴ Input the value of height in this formula if it is given, and you should be able to get your answer.]

Answer:

9a+21b-4

Step-by-step explanation:

first of all combine the like terms

15a + 21b - 6a - 4

= 9a + 21b - 4 Ans.

The simplified expression of 15a+21b-6a-4 is 9a+21b-4

An expression is combination of variables, numbers and operators.

The given expression is  15a+21b-6a-4

Fifteen times of a plus twenty one times of b minus six times of a minus four.

a and b are the variables and plus, minus are the operators

Add the like terms in the expression

15a-6a+21b-4

Fifteen times of a and minus six times of a are the like terms.

So add these like terms.

When 15 and -6 are added we get 9

So the expression becomes as Nine times of a plus twenty one times of b minus four.

9a+21b-4

Hence, the simplified expression of 15a+21b-6a-4 is 9a+21b-4

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Answer:

-1/2 is correct

Step-by-step explanation:

Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]. To evaluate the expression (g - f)(2), you need to first find the values of g(2) and f(2), and then subtract f(2) from g(2).

Given:

[tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \) \\ \( g(x) = \log_4(x) \)[/tex]

Let's start by calculating the values of f(2) and g(2): 1. [tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \)[/tex]

Substitute (x = 2):   [tex]\( f(2) = \frac{2 + 3}{2^2 + 2 \cdot 2 - 3} = \frac{5}{7} \)[/tex]

2. [tex]\( g(x) = \log_4(x) \)[/tex]  Substitute ( x = 2):  [tex]\( g(2) = \log_4(2) \)[/tex]

Now, evaluate the expression [tex]\( (g - f)(2) \):[/tex]

[tex]\( (g - f)(2) = g(2) - f(2) = \log_4(2) - \frac{5}{7} \)[/tex]

To determine which option matches this value, calculate [tex]\( \log_4(2)[/tex]) and subtract [tex]\( \frac{5}{7} \)[/tex] from it.

Approximately,[tex]\( \log_4(2) \)[/tex] is around 0.5.

So, [tex]\( (g - f)(2) \approx 0.5 - \frac{5}{7} \)[/tex]. To compare this result with the options provided, convert the fractions to a common denominator:

[tex]\( \frac{5}{7} = \frac{35}{49} \)[/tex]. So, [tex]\( (g - f)(2) \approx 0.5 - \frac{35}{49} \)[/tex].

Now, simplify the subtraction: [tex]\( 0.5 - \frac{35}{49} = \frac{24}{49} \)[/tex]

Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]

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7.6 hours

Step-by-step explanation:

57 x 8 = 456 minutes

456÷60= 7.6

Answer:

Purchase price = $412.94 (nearest cent)

Total price = $430.49 (nearest cent)

Step-by-step explanation:

Purchase price

If 4.25% = $17.55

⇒ 100% = (17.55 ÷ 4.25) × 100 = 412.9411765...

⇒ Purchase price = $412.94 (nearest cent)

Total price

total price = purchase price + sales tax

                 = $412.94 + $17.55

                 = $430.49

So let the original price be x

Total price:-

Answer:

63 km

Step-by-step explanation:

Given :

Solving :

Convert minutes into hours so that the units are equal, otherwise your answer will not be correct.

Calculating distance

Answer:

frist convert 315k/h into m/s

then convert 12min into sce

=12*60

=720

distance = v*t

=315*720

=226800m

Answer:

4.5 or 4 1/2

Step-by-step explanation:

An easy way to do this problem is to divide 6 by 4, the denominator (1.5) then multiply it by the numerator, 3, which will now be 4.5.

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

The balance in the account after 30 years will be $91,745.06, the total amount of money put into the account will be $54,000 and  the total interest earned will be $37,745.06.

percentage, a relative value indicating hundredth parts of any quantity.

We can use the formula for the future value of an annuity to answer these questions:

FV = PMT(((1 + r)ⁿ - 1) / r)

a. To find how much will be in the account in 30 years, we need to calculate the future value of the annuity after 30 years of monthly deposits.

There are 12 months in a year, the number of months is:

n = 30 years × 12 months/year = 360 months

The monthly interest rate is:

r = 3% / 12 = 0.0025

Substituting the given values into the formula, we get:

FV = $150 × (((1 + 0.0025)³⁶⁰ - 1) / 0.0025)

= $91,745.06

b. To find the total amount of money put into the account, we need to multiply the monthly payment by the number of months:

Total amount = $150/month × 360 months
= $54,000

c. To find the total interest earned, we need to subtract the total amount of money put into the account from the future value of the annuity:

Total interest = $91,745.06 - $54,000

= $37,745.06

Therefore, the balance in the account after 30 years will be  $91,745.06, the total amount of money put into the account will be $54,000 and  the total interest earned will be $37,745.06.

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