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Vladimir79 [104]
3 years ago
5

A 4-foot by 8-foot rectangular piece of plywood will be cut into 4 congruent rectangles with no wood left over and no wood lost

due to the cuts. What is the positive difference, in feet, between the greatest possible perimeter of a single-cut piece and the least possible perimeter of a single - cut piece?
Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

18

Step-by-step explanation:

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1. A company produces batteries. On average, 85% of all batteries produced are good. Each battery is tested before being dispatc
pogonyaev

Answer:

A. 78%

B. 1.92%

Step-by-step explanation:

Given the information:

  • 85% of all batteries produced are good
  • The inspector correctly classifies the battery 90%

A. What percentage of the batteries will be “classified as good”?

The percentage of batteries are not good is:

100% - 85% = 15% and of those 100-90 = 10% will be classified as good. Hence, we have:

= 0.85*0.9 + 0.15*0.1 = 0.78

= 78%

So 78% of the batteries will be “classified as good”

B. What is the probability that a battery is defective given that it was classified as good?

We will use the conditional probability formula in this situation:

P(B|A) = \frac{P(A \cap B)}{P(A)} where:

  • P(A) is the probability of A happening. (A is classified as good) => P(A) = 78%
  • P(B|A) is the probability of event B happening, given that A happened. (B classified as detective)
  • P(A \cap B) is the probability of both events happening => P(A \cap B) = 0.15*0.1 = 0.015 (5% of the batteries are not good. Of those, 100-90 = 10% will be classified as good)

We have:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.78} = 0.0192 = 1.92%

Hence, 1.92% probability that a battery is defective given that it was classified as good

7 0
3 years ago
PLEASE HELP Which composition of similarity transformations
valkas [14]

Answer:

a dilation with a scale factor greater than 1 and then a translation (the last option)

8 0
2 years ago
A shop sells chocolate, vanilla and strawberry ice creams. 45% of the ice creams sold are vanilla, and 1/4 are strawberry. What
Mamont248 [21]

Answer:

30%

Step-by-step explanation:

Since we want percentage, we need to convert 1/4th to percentage first.

We will divide, get decimal, and then multiply by 100 to get percentage.

1/4 = 0.25

0.25 * 100 = 25%

Now, we can say:

45% + 25% + chocolate = 100%

70% + chocolate = 100%

chocolate = 100 - 70 = 30

Chocolate = 30%

6 0
3 years ago
1.
iogann1982 [59]
  1. Answer:  Step-by-step explanation: It is 9 1/2– 7 1/3=2 1/3 if that helped give a thumbs up thank you bye.
6 0
3 years ago
What is the ordered pair of y=-5/9x-6
antoniya [11.8K]

Answer:

B), x=-1, y=-2, z=1.

Step-by-step explanation:

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3 years ago
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