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Mathematics

1 answer:

blsea [12.9K]3 years ago

7 0

Answer:

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Step-by-step explanation:

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Help me please ?????????

exis [7]

The correct answer is: [C]: " $4290.00 " .
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Explanation:
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Given: principal, "P": equals: $14,300 ;
                 rate, "r" : equals: 7.5 % = 7.5 / 100 = 0.075 ;
                time, "t" (in years): equals: 4 ;
_________________________________________
What is the interest, "i" ?
_________________________________________
Note: The formula:  i = P * r * t   .
_________________________________________
So, we plug in our given values for "P", "r", and "t", and solve for "i" (interest).
__________________________
i = ($14,300) *(0.075) * (4) ;

i = $1,490 ; which is answer choice: [C]: " $4290.00 " .
________________________________________________

5 0

3 years ago

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

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.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$