PLEASE HELP!!!!!!!!!!

2 answers:

6 0

Let x = the youngest sister (Emily)
Let (x + 2) = the middle sister (Samantha)
Let (x + 4) = the oldest sister (Lauren)

x + (x + 2) + (x + 4) = 42
combine like terms
3x + 6 = 42
subtract 6 from both sides
3x = 36
divide both sides by 3
x = 12
Emily = x = 12
Samantha = x + 2 = 14
Lauren = x + 4 = 16

Mandarinka [93]3 years ago

5 0

N + n + 2 + n + 4 = 42
That equals 3n + 6 = 42
(-6) 3n = 36
(/3) n = 12

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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dangina [55]

Answer:

A.0.4477

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 16.3, \sigma = 4.2$