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2 years ago

The ratio of boys to girls at the track meet is 2:3. If there were 54 girls, how many boys were there?

Mathematics

2 answers:

masya89 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

If you divide 54 by 3 you get 18. Now we get the ratio of boys which is 2 and you multiply it by 18 as 1 ratio I'm this case is 18.

Once you multiply the two numbers, you get 36 boys.

Hope this helps! :)

Gala2k [10]2 years ago

3 0

Answer:

36 boys

Step-by-step explanation:

The 3 part of the ratio relates to 54 girls.

Divide the number of girls by 3 to find the value of one part of the ratio.

54 ÷ 3 = 18 ← value of 1 part of the ratio, thus

2 parts = 2 × 18 = 36 ← number of boys

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Victor bought a Nintendo Game Boy that cost $68. He received $32 in change.

I am Lyosha [343]

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3 years ago

The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal

Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

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$\overline{x} = 111000, \sigma = 36730, n = 36$

Hence, the lower bound of the interval is:

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The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at brainly.com/question/25890103

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8 0

1 year ago

I need help with this please ASAP!!!!

OlgaM077 [116]

Answer:

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Step-by-step explanation:

You did everything right. You just had to find the square root of 0.34 which is 0.58.

7 0

2 years ago

Read 2 more answers

Find the positive value of x in the geometric sequence 7x-2,4x+4,3x

Goryan [66]

Hello,

Let's assume k the ratio.

$
 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\





$

$\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\$

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2 years ago

Whats the common ratio of the sequence 7.04 Q14

julsineya [31]

Answer:

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