A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.

Answer:

f(22) = 1.12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3sinx°

f(22) is x = 22

Step 2: Evaluate

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

Answer:

3000

Step-by-step explanation:

Answer:  700 square inches

===============================================================

Explanation:

The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.

Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.

The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.

Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).

Answer:

C~7

Step-by-step explanation:

The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The equation is:

[tex]\rm 3(x + 9)^{3/4} = 24[/tex]

After solving:

[tex]\rm (x + 9)^{3/4} = 8[/tex]

(x + 9)³ = 4096

x + 9 = ∛4096

x + 9 = 16

x = 7

Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

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Step-by-step explanation:

sin 60 = perpendicular / hypotenuse

sin 60 = BC / AB

sin 60 =. BC / 10

√3 / 2 = BC/ 10

BC = 5√3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Hi there!

So we know that the two train together is a total of 192 tons and the difference of their weights is 120 tons...

Ok let think...

When we’re looking at the once place, you’ll see a two... this means that the two train both have a ending of 1 since 2 is split into 1...

That would be another clue..

Now let think again...

If it would be 151 and we subtract by 120.. we would get...

[tex]151-120=31[/tex]

Well it ends with a 1 so it would be perfect but we have to see if 151 and 31 together adds up with the total of 192..

[tex]151+31=192[/tex]

This means that train A could be 151 tons or 31 tons and train B can also be wither 151 tons or 31 tons...

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

Answer:

Yes give Brainliest

Step-by-step explanation:

To find y place the other terms in the equation to the right

hand side of the equation.

Thus : 5y = 7 - 3x

( now divide both sides by 5 )

⇒ 5y5=7−3x5=15(7−3x)

now will you give brainliest?

Answer: D or $38

Step-by-step explanation:

Answer: The answer is D) $38.

Step-by-step explanation:

When you multiply $9.50 by 4 you get $38.

Answer:

1/8

Step-by-step explanation:

Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)

.5*.25=.125 or 1/8

Answer:

by Pythagoras theorm

H² = B² + P²

H². = 40² + 42²

= 1600 + 1764

= 3364

= 58²

H = 58

hope it helps

Answer:

thank u for free points

Step-by-step explanation:

......

Answer:

6.3 in.^2

Step-by-step explanation:

The diameter of the circle is 4 in., so the radius of the circle is 2 in.

[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]

The two central angles have a total measure of 60 deg + 110 deg = 170 deg.

The central angle of the shaded sector is 360 deg - 170 deg =  190 deg.

We will use n = 190 deg in the area formula.

[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]

[tex] A_{sector} = 6.3~in.^2 [/tex]

Answer: y-1=-1/2(x-5)

Step-by-step explanation:

[tex]\frac{2-1}{3-5}[/tex]

-1/2 slope

y-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

y-1=-1/2(x-5)

y-1=-1/2x +5/2

y=-1/2x+7/2

Answer:

each piece is = 3 m long

Step-by-step explanation:

20 /10= 2

Answer:

the height of the triangle is 47 inches

4.5 units is the value of the length of JL

The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).

The rectangle is rotated 180º counterclockwise about the origin.

The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).

Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

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Answer:

length x width x height

l x w x h

Answer:

Step-by-step explanation:

(3,2),(-9,6)

slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3

y = mx + b

slope(m) = -1/3

use either of ur points...(3,2)....x = 3 and y = 2

now we sub into the formula and find b, the y int

2 = -1/3(3) + b

2 = -1 + b

2 + 1 = b

3 = b

so ur equation is : y = -1/3x + 3 <==

Answer:

Rose: 6/5 or 1.2

Hank: 6/10 ÷ 6 = 0.1

Step-by-step explanation:

89% out of 100 that this is correct

Answer:

Domain: All Real Numbers

Range: y<0

Step-by-step explanation:

Looking at the graph, you can tell that the variable y has a lower point.

( I'm not sure how accurate this is I'm doing the same test right now. ;-;)  

Answer:

i think 6 not sure tho sorry if its worng

Answer:

43.10

Step-by-step explanation:

Je parle une ciart mwoa

Answer:

24.2

Step-by-step explanation:

There is but one answer to this. It appears below.

Let's try it out and see what happens. We'll do it the way it sits.

Sin 40/8 = sin(x) / 7             Multiply both sides by 7

7* Sin(40) / 8 = sin(x)

Sin(40) = 0.6428

7 * 0.6428 / 8 = sin(x)

.56245 = sin(x)

x = sin-1(0.56245)

x = 34.23

Rounded to the nearest tenth, it is 24.2

Answer: 34.2

Step-by-step explanation:

Hope this helps!

69

Step-by-step explanation:

2+ x = 5

x + 1 = 4

9 + x = 6

x + (negative 4) = 7

Negative 5 + x = negative 2

Answer:

47 and 63

Step-by-step explanation:

Let x be the number one friend gets.

This means the second friend will get x + 16

x + x + 16 = 110

2x + 16 = 110

2x = 94

x = 47

One friend gets 47, and the other gets 63

Answer:

There are two equivalent formulas to choose from when solving work-rate problems. If two people are working together on a job then their work rates add and they can perform the job working together in a shorter amount of time. If we let x = the time it takes a person to complete a task then his work rate is 1/x. In other words, he can complete the 1 job in x number of hours. If we let y = the time it takes a second person to complete the task and t = the time it takes for both people working together we get the following work-rate formulas:

1Answer:

Step-by-step explanation: