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vazorg [7]
3 years ago
11

In a school thereare 160 boys to number of girls is 2:3how many girls there are

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0

Answer:

240 girls

Step-by-step explanation:

Let number of girls be x.

160:x = 2:3

Multiply right side by 80--> 160:x = 160:240

x=240.

So there are 240 girls.

Contact [7]3 years ago
4 0

Answer:

There should be 240 girls.

Step-by-step explanation:

Ultimately, you want 40% of the school to be boys and 60% of the school to be girls which equal to the ratio 2:3.  Divide 160 by 2 to get 80 for the first part of the ratio, then you should multiply that number by 3 to get 240 as the number of girls in that school.

The ratio should be 160:240 when you put the number of boys and girls in this situation.

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Answer:

9600400000000000 is in standard form

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2 years ago
Use Pascal's Triangle to determine the second term of the expansion of (x - 2)^5
goldfiish [28.3K]

Pascal's triangle up to the 5th iteration is

\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}

This tells us

(x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5

so the second term in the expansion is

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8 0
3 years ago
Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t
NeTakaya

Answer:

\mu = 11

\sigma = 2.08

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when Z = -1.44, X = 8. So

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

-1.44 = \frac{8 - \mu}{\sigma}

8 - \mu = -1.44\sigma

\mu = 8 + 1.44\sigma

Also, when X = 14, Z has a pvalue of 0.925, so when X = 8, Z = 1.44

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

1.44 = \frac{14 - \mu}{\sigma}

14 - \mu = 1.44\sigma

1.44\sigma = 14 - \mu

Replacing in the first equation

\mu = 8 + 1.44\sigma

\mu = 8 + 14 - \mu

2\mu = 22

\mu = \frac{22}{2}

\mu = 11

Standard deviation:

1.44\sigma = 14 - \mu

1.44\sigma = 14 - 11

\sigma = \frac{3}{1.44}

\sigma = 2.08

7 0
3 years ago
If 50 is 20% of a value what is that value
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Please help me I can't do this answer
Tomtit [17]

Answer:

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Step-by-step explanation:

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