Last year, the numbers of skateboards produced per day at a certain factory were normally distributed with a mean of 20,500 skateboards and a standard deviation of 55 skateboards. A. On what percent of the days last year did the factory produce 20,555 skateboards or fewer?
B. What percent of the days last year did the factory produce 20,610 skateboards or more?
C. On what percent of the days last year did the factory produce 20,445 skateboards or fewer?

Answers

Answer 1
Answer: This can be solved by using the empirical rule for a normal distribution.
A. The number of skateboards given is one standard deviation above the mean. Approximately 68% of the data points lie within the range plus and minus one standard deviation of the mean. Therefore the required percentage is:
68 + 16 = 84%.
B. The given number of skateboards is two standard deviations above the mean. Approximately 95% of the data points lie within the range plus and minus two standard deviations of the mean. Therefore the required percentage is:
5/2 = 2.5%
C.The given number of skateboards is one standard deviations below the mean. Therefore the required percentage is:
16%.

Answer 2
Answer:

Answer:

(Use the normal distribution graph below to help you solve problems like this)

a) 34 + 34 + 13.5 + 2.35 + 0.15 = 84%

b) 2.35 + 0.15 = 2.5%

c) 13.5 + 2.35 + 0.15 = 16%


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How much would $200 invested at 4% interest compounded monthly be worth after 8 years? Round your answer to the nearest cent. a(t)=p(1+r/2)^nt
A. $205.40
B. $273.71
C. $322.83
D. $275.28

Answers

your formula is wrong
it should be
A=P(1+ (r)/(n))^(nt)
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years


given
P=200
R=0.04
N=12 (12 months in 1 year)
t=8


A=200(1+ (0.04)/(12))^((12)(8))
A=200(1+ 0.003333333)^(96)
A=200(1.003333333)^(96)
A=275.279
round
275.28

D is answer

The worth of  $200 invested at 4% interest compounded monthly after 8 years would be $275.28.

What is the future value?

When an amount is compounded monthly, both the amount invested and the interest accrued increase in value every month.

The formula for calculating future value:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

$200(1 + 0.04/12)^(12 x 8) = $275.28

To learn more about future value, please check: brainly.com/question/18760477

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On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?

Answers

When you translate a figure, none of the lengths change and none of the angles change. The only equation you listed that does not equate two translated lengths or two translated angles is G'H' = 8 units. There is nothing in the statement of the problem that requires this to be true.

Answer:

It's D: m∠HI'J = m∠H'IJ'

Step-by-step explanation:

What is
−5.4−(−3.2)−5.4−(−3.2) ?

Answers

5 BGJHYGFGHFGHFFDRTY

The prism has a surface area of 1312 mm2.What would the surface area of the prism be if each dimension were halved?

mm2

Answers

so each dimention is 32 by 8 by 10
so the surface area=2 times(8 times 10)+(2 times (32 times 10))+(2 times (8 times 32))=2 times 80+2 times 320+2 times 256=1312

if halved
just divide each by 2
(2 times 4 times 5)+(2 times 16 times 5)+(2 times 4 times 16)=(2 times 20)+(2 times 80)+(2 times 64)=40+160+128=328
the new surface area is 328 mm^2

The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyramid is divided by 7. What volume formula reflects these changes?

Answers

Th volume that reflects these changes will be: 3/21 (L*W*H), hope that helps.

The volume of a rectangular pyramid can be found using the formula V = (1/3)*A*H where A is the area of the rectangle base, and H is the height of the pyramid

The length of the base is tripled and the width of the base remains the same. Then, the new area of the base is 3 times the old one.

The height of the pyramid is divided by 7. Then, the new height is the old one divided by 7.

Replacing this in the formula:

V = (1/3)*A*H

V' = (1/3)*(3*A)*(H/7)

V' =   A*(H/7)

where V' is the volume of the new pyramid. Notice that, A and H refer to the original pyramid.

The relationship between these volumes are:

V/V' = [(1/3)*A*H]/[ A*(H/7)] = 7/3

(3/7)*V = V'

So, the volume of the new pyramid is 3/7 times the old one.  

Sara borrows $56 from her mother to buy a new pair of jeans. If she decreases her debt by $4 each week, how many weeks will it take her to pay off the whole amount she owes her mother? A. 15 weeks B. 16 weeks C. 12 weeks D. 14 weeks

Answers

Answer:

D. 14 weekend

Step-by-step explanation:

4x = 56

x = 56/4

14 weeks