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4 years ago

11

There are 2 green marbles, 7 blue marbles, 3 red marbles, and 4 teal marbles in a jar. If two marbles are selected and not repla

ced, what is the probability of selecting a blue marble and a teal marble?

1 answer:

Anna007 [38]4 years ago

3 0

Step-by-step explanation:

Hello there!

Multiply the probabilitites of the two outcomes:

7/16 x 1/4=7/64

There you have it.

Have a great day!

:)

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Divide (3+2i)/(-4+5i). express answer in standard form

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$\dfrac{3+2i}{-4+5i}=\dfrac{(3+2i)(-4-5i)}{(-4+5i)(-4-5i)}=\dfrac{-12-15i-8i-10i^2}{(-4)^2-(5i)^2}\\\\=\dfrac{-12-23i+10}{16+25}=\dfrac{-2-23i}{41}=-\dfrac{2}{41}-\dfrac{23}{41}i$

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3 years ago

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Can u help me with this math problem?

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Step-by-step explanation:

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3 years ago

(4 + 2) 2= <br><br> Solve the equation

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uhh well 4 + 2 is 6- and it's in brackets so that's a start?

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2 years ago

One year Thomas had the lowest ERA (earned-run average, mean number of runs yielded per nine inning pitched) of any male pitcher

valkas [14]

Answer:

Thomas had an ERA with a z-score of -2.82.

Karla had an ERA with a z-score of -2.81.

Thomas had the better year compared with his peers, since his ERA had the lower Zscore.

Step-by-step explanation:

Problems of normally distributed samples can be 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 ERA is the Earned Runs Average per 9 innings. This mean that the lower the ERA is, the better it is. So, between Thomas and Karla, whoever has the lower Zscore had the better season.

Thomas

For the males, the mean ERA was 4.837 and the standard deviation was 0.541. This means that $\mu = 4.837, \sigma = 0.541$ .

Thomas ERA was 3.31. This means that $X = 3.31$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.31 - 4.837}{0.541}$

$Z = -2.82$

Thomas had an ERA with a z-score of -2.82.

Karla

For Females, the mean ERA was 4.533 and the standard deviation was 0.539. This means that $\mu = 4.533, \sigma = 0.539$ .

Karla ERA was 3.02. So $X = 3.02$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.02 - 4.533}{0.539}$

$Z = -2.81$

Karla had an ERA with a z-score of -2.81

Which player had a better year in comparison with their peers?

Thomas had the better year compared with his peers, since his ERA had the lower Zscore.

6 0

3 years ago