How to do this problem 2 + 1/8 - 1 1/3

Mathematics

1 answer:

Svetllana [295]3 years ago

6 0

17/8 -11/3
51/24-88/24
-37/24 simplified is -1 13/24

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Thirty-six ten- thousandth as a decimal

Katyanochek1 [597]

Answer:

6.420

Step-by-step explanation:

The last decimal digit place value in 0.036 is thousandths. Put them together. So, 0.036 in words would be “thirty-six thousandths.” If there is a whole number portion of the decimal number, we use “and,” “decimal,” or “point” to signify the decimal point.

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2 years ago

Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of

Oduvanchick [21]

Answer:

a) The company should expect to replace 11.51% of its batteries.

b) 35 months.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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.

In this problem, we have that:

$\mu = 43.8, \sigma = 6.5$

(a) If Quick Start guarantees a full refund on any battery that fails within the 36-month period after purchase, what percentage of its batteries will the company expect to replace?

This is the pvalue of Z when X = 36. Then

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

$Z = \frac{36 - 43.8}{6.5}$

$Z = -1.2$

$Z = -1.2$ has a pvalue of 0.1151.

The company should expect to replace 11.51% of its batteries.

(b) If quick Start does not want to make refunds for more than 10% of its batteries under the full refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?

The warranty should be the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

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

$-1.28 = \frac{X - 43.8}{6.5}$