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3 years ago

GIVING 98 POINTSTO WHOEVER ANSWERS

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

6 0

Answer:

=110.8 percent

Step-by-step explanation:

We can use this formula to find the percent increase

percent increase = (new - original)/ original * 100

new = 363,844,490

original =172,602,624

Substitute these values in

percent increase = (363,844,490 - 172,602,624)/ 172,602,624 * 100

percent increase = 191241866/172602624 *100

= 1.107989332

=110.8 percent

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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

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3 years ago

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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

sin(60)=y/12

sin(60)×12=y

y=3.65

sin(30)=X/12

sin(30)×12=X

X=11.85

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3 years ago

What is the change in elevation between 8,500m and 3,400m?

Alenkasestr [34]

Answer:

Step-by-step explanation:

8500- 3400=5100

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4 years ago

HELP ASAP ILL GIVE YOU 13 points

lubasha [3.4K]

Answer:

the domain and range can be found by horizontal and vertical test

Step-by-step explanation:

6.B

7.D

8.A

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3 years ago

What is a rule you can use to find the sum of two negative integers without using counters?

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When integers have the same sign and you add them together the sum will have the same sign

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4 years ago