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taurus [48]
3 years ago
9

1. Erika found out that after working in her current job for 9 months, she has earned 6 days

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
16 vacation days would be earned
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notsponge [240]
320 centimeters squared
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3 years ago
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It is possible to score higher than 1600 on the combined mathematics and reading portions of the SAT, but scores 1600 and above
Citrus2011 [14]

Answer:

The proportion of scores reported as 1600 is 0.0032

Step-by-step explanation:

Let X be the score for 1 random person in SAT combining maths and reading. X has distribution approximately N(μ = 1011,σ = 216).

In order to make computations, we standarize X to obtain a random variable W with distribution approximately N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-1011}{216} \simeq N(0,1)

The values of the cummulative distribution function of the standard Normal random variable, lets denote it \phi are tabulated, you can find those values in the attached file. Now, we are ready to compute the probability of X being bigger than 1600

P(1600< X) = P(\frac{1600-1011}{216} < \frac{X-1011}{216}) = P(2.7269 < W) = 1- \phi(2.7269)\\= 1- 0.9968 = 0.0032

Hence, the proportion of scores reported as 1600 is 0.0032.

Download pdf
5 0
4 years ago
Find the solution set to each inequality. Express the solution in set notation.
daser333 [38]

The solution to the inequality 6m + 2 > -27 is  m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is  p > 8

The given inequality is:

6m  +  2  >  - 27

Subtract 2 to both sides of the inequality

6m  +  2 - 2  >  -27  -  2

6m   >  -29

Divide both sides by 6

\frac{6m}{6}> \frac{-29}{6}  \\m  > \frac{-29}{6}\\m > -4.83

For the inequality  8(p-6)>4(p-4)

Expand the inequality using the distributive rule

8p  -  48   >  4p  -  16

Collect like terms

8p  -  4p  >  -16  +  48

4p    >  32

Divide both sides of the inequality 4

\frac{4p}{4} > \frac{32}{4}\\p > 8

The solution to the inequality 6m + 2 > -27 is m > -4.33

The solution to the inequality 8(p-6)>4(p-4) is p > 8

Learn more here: brainly.com/question/15816805

3 0
3 years ago
There are 3 brownies to share equally with 4 friends. how much brownies will each person get?
agasfer [191]

each person will get 1.333333333333 or 1.3 for short.

8 0
3 years ago
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In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is
Likurg_2 [28]

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

a^2+12^2=13^2

a^2+144=169               <em>subtract 144 from both sides</em>

a^2=25\to a=\sqrt{25}\\\\a=5

6 0
3 years ago
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