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3 years ago

14

Which scale factors produce a contraction under dilation of the original image?

1 answer:

Alex787 [66]3 years ago

5 0

Any scale factor less than 1 would show that an image has been reduced, or contracted, when compared to the original.

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KiRa [710]

M=2,000÷((1−(1+0.072÷12)^(−12
×2))÷(0.072÷12))
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3 years ago

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

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AS one of her chores Staci must vacum 1/2 of the house. If she has already vacumed 1/3 of her share tonight whatp part of the li

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1/6

Step-by-step explanation:

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3 years ago

Leo has two choices of cake and he needs one that will feed the most people. One of them has the height of 5 inches and a diamet

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The correct answer is 5 inces and a diameter of 12. Because the volume is 565 and for the other it’s 471.

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2 years ago