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Mathematics

1 answer:

Neporo4naja [7]2 years ago

6 0

Answer:

2000 times 3.5% is 70, so in one year you would have 2070 dollars. 3.5 divided by 3 is about 1.16 (the six repeats), so for the next 1/3 year you would do 2070 times 1.16 percent which is 30. So, then, 2070 plus 30 is 2100 dollars in the saving account.

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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)