All categories

3 years ago

What is the volume of the rectangular prism?

Mathematics

1 answer:

kirill115 [55]3 years ago

7 0

Answer:

200

Step-by-step explanation:

You might be interested in

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

3 years ago

john spent half of his weekly allowance at the batting cages. to earn more money his parents let him vacuum the house for $6. wh

KATRIN_1 [288]

Answer:

$28

Step-by-step explanation:

First to solve this get the original amount before his parents gave him $6

20-6=14

So he had $14 after spending it at the batting cages.

It is stated he spent half of his money there so multiply 14 by 2

14 x 2=28

So he has a weekly allowance of $28

4 0

3 years ago

Find the simple interest on a loan of $45,000 for 5 years at 3%.

Tasya [4]

Answer:

51,750

Step-by-step explanation:

45,000x.03=1,350

1,350x5=6750

45,000+6750=51,750

8 0

3 years ago

Read 2 more answers

What expression represents the phrase eight less than the product of a number and two

JulijaS [17]

Answer:

Step-by-step explanation:

eight less then the product of a number and 2

" the product " means multiply

the product of a number and 2.......2x

eight less....-8

2x - 8 <=== ur expression

5 0

3 years ago

Read 2 more answers

Write the expression of the quotient of 44 and 11

VladimirAG [237]

Answer:

Step-by-step explanation:

44 ÷ 11 = 4

3 0

3 years ago