Selecting 2 fully charged batteries in a row from a large batch in which 6 % of the batteries are dead

1 answer:

8 0

The probability of s<span>electing 2 fully charged batteries in a row from a large batch in which 6% of the batteries are dead is given by:

$P(2)=(1-0.06)^2=(0.94)^2=0.8836$ </span>

You might be interested in

Mr.Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.The greatest common factor for the number of paint brushes

Flauer [41]

Answer:

Mr. Jenkins has 12 cups.

Step-by-step explanation:

Consider the provided information.

Mr.Jenkins has 48 paintbrushes and 60 tubes of paint to put into cups.

It is given that The greatest common factor for the number of paint brushes and the number of tubes of paint is equal to the number of cups Mr.Jenkins has.

First find the greatest common factor of 48 and 60.

48 = 2×2×2×2×3

60 = 2×2×3×5

Hence, the greatest common factor is 2×2×3=12

Therefore, Mr. Jenkins has 12 cups.

5 0

4 years ago

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches

Brilliant_brown [7]

Answer:

a) 1.93

b) 97.32% of men are SHORTER than 6 feet 3 inches

c) 2.71

d) 0.34% of women are TALLER than 5 feet 11 inches

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

For man, $\mu = 69.8, \sigma = 2.69$