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2 years ago

Round 7897.5 point to the nearest hundredth to the second decimal place

Mathematics

1 answer:

Fynjy0 [20]2 years ago

3 0

Answer:

It looks like this problem is unsolvable, as the decimal only goes to the 10th place.. is there more to the problem?

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WRITE AN SLOPE INTERCEPT FORM

Tom [10]

1) y = x

2) y = -(1/5)x + 4

3) y = -6x + 2

4) y = x + 2

5) y = (1/2)x + 2

6) y = -x + 4

7) y = -x + 1

8) y = (3/2)x + 2

9) y = -(3/2)x - 2

10) y = 2x - 1

6 0

2 years ago

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

Michelle had a $100. bill she wants to purchase paper pins ($20) and file covers ($20) and paper weights. each paper weight cost

slega [8]

Hi!

100/10 = 10

If Michelle only buys paper weights, she can buy 10 of them with $100

8 0

3 years ago

Read 2 more answers

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

Nonamiya [84]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it

kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0

2 years ago

Round 7897.5 point to the nearest hundredth to the second decimal place￼

Round 7897.5 point to the nearest hundredth to the second decimal place