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3 years ago

In one grade of 150 students, the ratio of boys to girls is 2 : 3.

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

Answer:

The numbers of boys in one grade are 60 .

Step-by-step explanation:

As given

In one grade of 150 students .

The ratio of boys to girls is 2:3.

Let us assume that the scalar multiple of boys and girls be x.

Thus number of boys = 2x

Number of girls = 3x

Than the equations becomes

2x + 3x = 150

5x = 150

x = 30

Thus number of boys = 2 × 30

= 60

Therefore the numbers of boys in one grade are 60

Finger [1]3 years ago

4 0

150/boys=2/3
2 boys/450
boys=450/2
boys=225

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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Solution to the problem

The confidence interval for the mean is given by the following formula:

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Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that $t_{\alpha/2}=2.02$

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$654.16+2.02\frac{165.23}{\sqrt{42}}=705.66$

So on this case the 95% confidence interval would be given by (602.66;705.66)

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