Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 135 millimeters, and a variance of 64. If a random sample of 32 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 3.6 millimeters? Round your answer to four decimal places.

Answer:

17

Step-by-step explanation:

make me as brienliest

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

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Answer:

23

Step-by-step explanation:

Answer:

12 days.

Step-by-step explanation:

108 divided by 9!

Answer:

FG = 7

Step-by-step explanation:

From the question, we are given:

FG=5x+2, GH=3x−1, and F H = 9

FG + GH = FH

5x + 2 + 3x - 1 = 9

5x + 3x + 2 - 1 = 9

8x + 1 = 9

8x = 9 - 1

8x = 8

x = 8/8

x =1

We are determining the numerical length of FG

FG= 5x + 2

FG = 5(1) + 2

FG = 5 + 2

FG = 7

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

丼

h(3z) = 2(3z)^2 + 3 = 18z^2 + 3

h(3z) is equal to 18z² + 3

To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).

h(3z) = 2(3z)² + 3

Simplifying this expression, we have:

h(3z) = 2(9z²) + 3

h(3z) = 18z² + 3

So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.

The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.

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Answer:

I think it’s C

Step-by-step explanation:

Answer: (x,y) to (x,-y)

Step-by-step explanation:

Answer:

$107.75

Step-by-step explanation:

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The Amount will be $607.75 and Interest is $ 107.75 after 4 years.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one.

The interest you earn on interest is known as compound interest.

Given:

Garrison deposited $500.

Interest = 5%

Time= 4 years.

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 500.00[tex](1 + 0.05/1)^{(1)(4)[/tex]

A = 500.00[tex](1 + 0.05)^{(4)[/tex]

A = $607.75

and, I = A- P

I = 607. 75 - 500

I= $107.5

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Answer:

invalid

Step-by-step explanation:

combine like terms

invalid

0 is not equal to anything

Answer:

B im pretty sure

Step-by-step explanation:

Answer:

Domain:  ( − ∞ , ∞ ) , { x | x ∈ R }

Range:  [ 1 , ∞ ) , { y | y ≥ 1 }

Step-by-step explanation:

ind the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

Answer:

<

Step-by-step explanation:

[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]

Answer:

add

Step-by-step explanation:

Answer:

Add

Step-by-step explanation:

To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.

See if that helps.

Answer:68%

Step-by-step explanation:

just took this test

The percentage of values is within the interval 111 to 139 will be "68%".

According to the question,

Mean = 125

Standard deviation = 14

Let,

The random variable be "X".

Now, the probability:

→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)

                           = P(-14 < X - 125 < 14)

                           = P(-[tex]\frac{14}{14}[/tex] < [tex]\frac{(X-125)}{14}[/tex] < [tex]\frac{14}{14}[/tex])

                           = P(-1 < Z < 1)

When, Distribution function "[tex]\phi[/tex]" now,

= [tex]\phi[/tex](1) - [tex]\phi[/tex](-1)

= [tex]\phi[/tex](1) - 1 + [tex]\phi[/tex](1)

= 2 × [tex]\phi[/tex](1) - 1

= 2 × 0.8413 -1

= 1.6826 - 1

= 0.6826 or,

= 68%

Thus the above answer i.e., "option C" is correct.

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Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

Answer:

f = -1

Step-by-step explanation:

f(x) = 3x + 1

f(-2/3) = 3(-2/3) + 1

f = -2 + 1

f = -1

Answer:

= -2f/3

Step-by-step explanation:

Answer:

$1673

Step-by-step explanation:

$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

Answer:

explain further or send a picture of what you mean and then I can help you

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Answer:

a. c=240+8x

b. e=12x

Step-by-step explanation:

a. The equation would indicate that the production cost in dollars is equal to the design and set-up cost plus the cost per hat for the number of hats produced:

c=240+8x, where c is the production cost in dollars and x is the number of hats produced.

b. The equation would indicate that the amount of money the band will make from selling the  hats is equal to the price per hat for the number of hats sold:

e=12x, where e is the amount of money the band will make from selling the  hats and x is the number of hats sold.

Answer:

C

Step-by-step explanation:

the slope is -4 and the y-intercept is -1

hope this helps :3

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

Answer:

-$22.00

Step-by-step explanation: