9. A skydiver jumps from a plane at

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Step-by-step explanation:

write the one digit in the square of each of the following numbers

a.13

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Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third

GREYUIT [131]

Let the total toys be x.

The first has (1/10)x = x/10

The third child has one more toys than the first = x/10 + 1

The fourth has double of the third: = 2* (x/10 + 1) = 2x/10 + 2

Since we know that the second child has 12 more toys than the first

Therefore the Second minus First = 12.

First let us find the second.

1st + 2nd + 3rd + 4th = x

x/10 + 2nd + (x/10 + 1) + (2x/10 + 2) = x

2nd + x/10 + x/10 + 1 + 2x/10 + 2 = x

2nd + x/10 + x/10 + 2x/10 + 1 + 2 = x

2nd + 4x/10 + 3 = x

2nd = x - 4x/10 - 3

2nd = 6x/10 - 3

But recall

2nd - 1st = 12

6x/10 - 3 - x/10 = 12

6x/10 - x/10 = 12 + 3

5x/10 = 15

5x = 15 * 10

x = 15*10 /5

x = 30

So there were 30 toys in all.

3 0

3 years ago

in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch

eduard

Answer:

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

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:

$\mu = 303, \sigma = 13$