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3 years ago

Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour?

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

Step-by-step explanation:

To answer this, look at the form of the answer. they want miles per hour. So, just do that calculation

She traveled 14 miles in 6 hours.

14 miles/6 hours

14/6 = 7/3 = 2.3333 miles/hour

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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

2 years ago

What is the value of x?

svet-max [94.6K]

Answer:

ur getting suspended

Step-by-step explanation:

im ur teacher

3 0

3 years ago

Find the value of x.

murzikaleks [220]

70 it has to equal 180

5 0

3 years ago

Evaluate |-6| + 2|-4| - 3|6| A. -20 B. -4 C. 14

Butoxors [25]

Hello!

First we will solve the absolute value, giving us 6+8-18. Then we combine giving us 14-18. This gives us -4.

The answer is B) -4

Hope this helped!

7 0

3 years ago

Question 2

kirill [66]

Your answer would be c and d because coefficients are the numbers that go in front of the variables. Have a nice day I hope this helped :)

5 0

3 years ago