I need help on this Pythagorean Theorem question would be nice if somebody helped quick

Mathematics

2 answers:

lina2011 [118]1 year ago

8 0

Answer:

Step-by-step explanation:

5^2 + 5^2 = x^2

25 + 25 = x^2

50 = x^2

$\sqrt{50}$ = x, 5 $\sqrt{2}$

x = approximately 7.07

valentinak56 [21]1 year ago

5 0

Answer:

Exact: SQRT 50

Approx: 7.07

Step-by-step explanation:

you take both of the 5s and square them.

So 5*5=25 and 5*5 is 25. Since the right angle is opposite the side you are trying to find you add those together to get 50. Then you take the SQRT of 50 because you are trying to solve for x via the pythagorean theorem.

So the exact is SQRT 50

and the approx is 7.07

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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

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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)