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3 years ago

Consider the equation (x−4)(x+3)=0.

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Answer:

(1) x (x+ 3) - 4 (x +3) = 0

(2) x = 4 and x = -3

Step-by-step explanation:

given data

equation

(x−4)(x+3)=0

solution

given equation (x−4)(x+3) = 0

equation as a compound statement is

x (x+ 3) - 4 (x +3) = 0

and

two solutions to the equation are

so x (x+ 3) - 4 (x +3) = 0

x- 4 = 0 and x + 3 = 0

x = 4 and x = -3

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andriy [413]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont

solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that $\mu = 36, \sigma = 2$