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torisob [31]
2 years ago
14

The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?

Mathematics
1 answer:
alina1380 [7]2 years ago
8 0
Class ratio of girls to boys is 3:5
So there are 3 girls and 5 boys in 8 students
If there are 32 students, then 3/(3+5) * 32 = 12 girls, and 5/(3+5) * 32 = 20 boys


Hope it helps you?
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The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
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Answer:

I don’t know but I have the same question with different numbers

Step-by-step explanation:

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Casey picks a bead at random from a box containing 4 red, 36 green, and 10 white beads. What is the probability that she picks 1
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3 red 35 green 95 white
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A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he
UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

We dont know the true proportion, so we use \pi = 0.5, which is when we are are going to need the largest sample size.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.04}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2

n = 600.25

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2

n = 2401

The minimum sample size is 2401.

4 0
3 years ago
The sum of two numbers is 12. The first number,X, is twice the second number,y, which system of equations could be used to find
koban [17]

Answer:

y=4, x=8

Step-by-step explanation:

system:

x+y = 12, x=2y

convert to 1 variable, simplify:

2y+y=12

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6 0
3 years ago
Read 2 more answers
In baseball, Shintaro had 4 hits in his last 12 times at bat.
swat32

Answer:

The probability of shintaro is 4/12 simplified which is 1/3

Step-by-step explanation:

It's like saying.. Someone had won 4 races every 12 race

You divide both side of 4/12 till you can't divide anymore

4/12

3/9

2/6

1/3

7 0
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