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atroni [7]
2 years ago
14

X is directly proportional to w²

Mathematics
1 answer:
umka21 [38]2 years ago
3 0

The formula for x in terms of w is x = 3w² and the formula for y in terms of x is y = (1/112)x³

<h3>Variation</h3>

x = k × w²

w = 4, x = 48

48 = k × 4²

48 = k × 16

48 = 16k

k = 48/16

k = 3

So,

x = k × w²

x = 3 × w²

x = 3w²

y = k/x³

x = 2, y = 14

14 = k / 2³

14 × 2³ = k

14 × 8 = k

112 = k

So,

y = k/x³

y = 112/x³

y = (1/112)x³

Learn more about variation:

brainly.com/question/6499629

#SPJ1

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Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.093

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that n = 20, s = 31.61

What is the margin of error for this estimate?

M = T\frac{s}{\sqrt{n}}

M = 2.093\frac{31.61}{\sqrt{20}}

M = 14.79

The margin of error for this estimate is of 14.79 yards per game.

3 0
3 years ago
Jordan’s class has 30 boys. If the students in his class, 60% are girls. How many girls are in Jonathan’s class?
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3 years ago
[[((3^3 - 7) • 5)/10] + ((1 + 3 + 6 + 9) - 10)]
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10+9=19.

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