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Umnica [9.8K]
3 years ago
10

A bag contains 8 yellow marbles and 6 blue. What number of yellow marbles can you add to the bag so that the ratio of yellow to

blue marbles is 5:2?
Mathematics
2 answers:
Kazeer [188]3 years ago
6 0
8 : 6 ...add 7 yellow and it becomes 15:6 when reduced = 5:2
son4ous [18]3 years ago
4 0
15:6 when reduced = 5:2
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A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor
Leya [2.2K]

Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 700, \sigma = 50.

The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:

X = 790:

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

Z = \frac{790 - 700}{50}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

X = 575:

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

Z = \frac{575 - 700}{50}

Z = -2.5

Z = -2.5 has a p-value of 0.0062.

0.9641 - 0.0062 = 0.9579.

0.9579 = 95.79% probability of a month having a PCE between $575 and $790.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
1 year ago
96 sq meters
Kazeer [188]
It’s 84 you just break into three pieces and find the side lengths
7 0
3 years ago
5x + 4 = 7x i need help quick
anyanavicka [17]
5x + 4 = 7x

Subtract 4 from both sides.

5x = 7x - 4

Subtract 7x from both sides.

5x - 7x = -4

Simplify.

-2x = -4

Divide both sides by -2.

x = 4/2

x = 2

~Hope I helped!~
3 0
3 years ago
Remove the parentheses. -3(4y-v-2)
adell [148]
-3 times 4y - v -2 hope this helps !
6 0
3 years ago
Solve : cos X + sin X = 0 <br> Pls all answers in radians<br> thanks
Alisiya [41]
<span>cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

<em>tan(x) = -1</em>

x = 135° and 315°

x = 3/4 pi radians  and  7/4 pi radians
</span>
4 0
3 years ago
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