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dimaraw [331]
3 years ago
14

Mr Cameron places the names of his students in a hat order to randomly call on students. There are 12 girls and 10 boys in the c

lass what is the probability that a boy will be called on?
A. 1/22
B. 5/11
C. 1/10
D. 5/6
Mathematics
2 answers:
NikAS [45]3 years ago
8 0
The answer is D

10/12 = 5/6
Yuliya22 [10]3 years ago
3 0

Answer:

b 5/11

Step-by-step explanation:

10/22

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The probability that Paul wins a raffle is given by the expression n/n+6. Write down an expression, in the form of a combined si
Elza [17]

Answer:

P(W') = \frac{6}{n+6}

Step-by-step explanation:

<em>Let P(W) represents the probability that Paul wins</em>

<em>Let P(W') represents the probability that Paul does not win</em>

Given

P(W) = \frac{n}{n+6}

Required

P(W')

In probability, the sum of opposite probability equals 1;

This implies that

P(W) + P(W') = 1

Substitute P(W) = \frac{n}{n+6} in the above equation

P(W) + P(W') = 1 becomes

\frac{n}{n+6}+ P(W') = 1

Subtract \frac{n}{n+6} from both sides

\frac{n}{n+6} - \frac{n}{n+6} + P(W') = 1 - \frac{n}{n+6}

P(W') = 1 - \frac{n}{n+6}

Solve fraction (start by taking the LCM)

P(W') = \frac{n + 6 - n}{n+6}

P(W') = \frac{n - n  + 6}{n+6}

P(W') = \frac{6}{n+6}

Hence, the probability that Paul doesn't win is P(W') = \frac{6}{n+6}

6 0
3 years ago
(0.5x+15)+(8.7x-1.6)
GaryK [48]

Answer:

9.2X + 13.4

Step-by-step explanation:

Combine like terms

3 0
4 years ago
Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. To be eligible for c
kvasek [131]

Answer:

The lowest score you can earn and still be eligible for employment is 85.6925

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 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.

In this question, we have that:

\mu = 75, \sigma = 6.5

Top 5%.

At least the 100-5 = 95th percentile.

The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 75}{6.5}

X - 75 = 1.645*6.5

X = 85.6925

The lowest score you can earn and still be eligible for employment is 85.6925

3 0
4 years ago
Read 2 more answers
The probability of getting 3 is the half of getting 6. Is Victoria correct?
Sindrei [870]

yes because 6÷2 is 3 and that gets you the answer

4 0
3 years ago
Samatha ran 3.5 miles on saturday. on wednesday ,she ran 5.2 miles. what was her percent increase to the nearest percent?
taurus [48]
Find the difference between the 2 numbers which will give you the increase from the lower value to the higher.  Divide this increase by the original (lower) number and multiply the result by 100 to get the percentage.  For us that looks like this:  \frac{5.2-3.5}{3.5} *100.  Simplifying a bit we have  \frac{1.7}{3.5}*100=48.5% or 49%, rounded.
5 0
3 years ago
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