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2 years ago

The ratio of boys to girls in a group is 4:1. If there are 33 more boys than girls, work out how many people there are in total.

Mathematics

2 answers:

MissTica2 years ago

7 0

Total number of people is 55

Step-by-step explanation:

Step 1:

Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x

⇒ 4x + x = x + 33 + x

⇒ 5x = 33 + 2x

⇒ 3x = 33

⇒ x = 11

Step 2:

Find total number of people.

33 + 2x = 33 + 22 = 55

WARRIOR [948]2 years ago

7 0

Answer:

There are 55 people altogether

Step-by-step explanation:

As the question says, there are 33 more boys than girls. So let's make girls = x as it is an unknown value:

boys = 33 + x

As we know that the ratio is 4:1 so, we can make it as:

4x : x

Given that the the ratio of boys is 4x and the value is 33+x. Now, we can compare it :

4x = 33 + x

4x - x = 33

3x = 33

x = 11

Next, we can add up all the people:

boys=>

4x = 4 × 11

= 44 boys

girls=>

x = 11 girls

altogether=>

44 + 11 = 55 people

(Correct me if I am wrong)

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xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions 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.

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