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Romashka-Z-Leto [24]
2 years ago
7

In a college of 400 students, 45% are girls. Of the boys, 30% are football

Mathematics
1 answer:
Mashcka [7]2 years ago
5 0
Of 400 students
No of girls = 0.45 x 400= 180
No of Boys = 400-180=220
Of the. No of boys 30% are football players =0.30 x 220 = 66
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Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
Write an equivalent fraction with the given denominator. 3/16 = ___ /48
natita [175]
You multiply 3/16 by 3 and you should get 9/48
4 0
3 years ago
Wat is 5/9-1/3<br> Equal to.
Llana [10]
\frac{5}{9}-\frac{1}{3}=\\\frac{5}{9}-\frac{1}{3}*\frac{3}{3}=\\\frac{5}{9}-\frac{3}{9}=\\\frac{2}{9}
7 0
3 years ago
Read 2 more answers
Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length
Marizza181 [45]

The statement  that is true is option A that  is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.

<h3>What is the line segment about?</h3>

The law of the side- splitter connote that when f the line is parallel to a side of the triangle and if that said line do intersects the other 2 sides, tt is said to divides those  given sides proportionally.

So the converse means that when the sides are proportional so therefore, the side TU is said to be parallel to the side RS.

Thus;

\frac{QT}{TR} = \frac{32}{36}  = \frac{8}{9}\\\\ \\

\\\frac{QU}{US}  =\frac{40}{45}  = \frac{8}{9}\\

Therefore,  the ratios are equal and as such TU is parallel to RS

Hence, The statement  that is true is option A that  is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.

Learn more about Line segment from

brainly.com/question/2437195

#SPJ1

5 0
2 years ago
What is the domain and range and function ??? Then can u explain how u did it please and thank you
enot [183]
The domain is
- 10 \leqslant x \leqslant 10
and the range is
- 5 \leqslant y \leqslant 5
Domain is x values (horizontal axis), while range is y values (vertical axis). On a line like this one, domain is calculated from the left most point to the right most, while range is calculated from the down most to the upmost.
Because this line is a solid line rather than a dotted line, less than or equal to
\leqslant
signs are used rather than just
<
less than signs.


6 0
3 years ago
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