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2 years ago

S

Mathematics

1 answer:

seropon [69]2 years ago

4 0

Answer:

C. 20 units

Step-by-step explanation:

x > 16 because the hypotenuse is always the longest side

9 + 16 = 25

25 > x

that leaves you with 20 units and 24 units but 24 units is too long, so C. 20 units is the answer

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A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if stud

8_murik_8 [283]

Answer:

(a) Point estimate = 7.10

(b) The critical value is 1.960

(d) Confidence Interval = (6.3, 7.9)

(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

Step-by-step explanation:

Given

$\bar x = 7.10$ -- sample mean

$\sigma=5$ --- sample standard deviation

$n = 150$ --- samples

Solving (a): The point estimate

The sample mean can be used as the point estimate.

Hence, the point estimate is 7.10

Solving (b): The critical value

We have:

$CI = 90\%$ --- the confidence interval

Calculate the $\alpha$ level

$\alpha = 1 - CI$

$\alpha = 1 - 90\%$

$\alpha = 1 - 0.90$

$\alpha = 0.10$

Divide by 2

$\frac{\alpha}{2} = 0.10/2$

$\frac{\alpha}{2} = 0.05$

Subtract from 1

$1 - \frac{\alpha}{2} = 1 - 0.05$

$1 - \frac{\alpha}{2} = 0.95$

From the z table. the critical value for $1 - \frac{\alpha}{2} = 0.95$ is:

$z = 1.960$

Solving (c): Margin of error

This is calculated as:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.960 * \frac{5}{\sqrt {150}}$

$E = 1.960 * \frac{5}{12.25}$

$E = \frac{1.960 *5}{12.25}$

$E = \frac{9.80}{12.25}$

$E = 0.800$

Solving (d): The confidence interval

This is calculated as:

$CI = (\bar x - E, \bar x + E)$

$CI = (7.10 - 0.800, 7.10 + 0.800)$

$CI = (6.3, 7.9)$

Solving (d): The conclusion

We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9

6 0

2 years ago

The mass of Hinto's math is 4,367 grams. What is the mass of 5 math books in kilograms?

suter [353]

Answer:

21.835 kilograms

Step-by-step explanation:

(4,367x5)/1000

7 0

3 years ago

Please HELP ME I need help on this final question

I am Lyosha [343]

1 and 2 are right because one has adjacent. 2 vertical angles. Vertical angles mean the same plane and adjacent means two sides of an X.

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1 year ago

What is the median of the data set?

cluponka [151]

Answer: 85.5

Step-by-step explanation:

There are 22 data points in the data set.

We can find the median by looking at the 11th and 12th scores, and averaging them.

The 11th score is 85

The 12th score is 86

The average of the two is 85.5

Hence the answer is 85.5

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3 years ago

Given that V=4/3πrcube , make r the subject of formula

Sonbull [250]

Answer:

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6 0

2 years ago