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3 years ago

What is (pi/3) radians converted to degrees? If necessary, round your answer to the nearest degree.

Mathematics

2 answers:

laiz [17]3 years ago

8 0

$60$
it is 60 degree

ki77a [65]3 years ago

6 0

Answer:

60°

Step-by-step explanation:

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Which integer(s) make the statement true? |x| = 5

Bogdan [553]

B A or C. i believe

8 0

3 years ago

. The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal probability distributio

ki77a [65]

Answer:

Probability that the sample average time taken is less than 11 minutes for Day 1 is 0.86864.

Probability that the sample average time taken is less than 11 minutes for Day 2 is 0.88877.

Step-by-step explanation:

We are given that the time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal probability distribution with average time 10 minutes and a standard deviation of 2 minutes.

Also, five individuals fill out the form on Day 1 and six individuals fill out the form on Day 2.

(a) Let $\bar X$ = sample average time taken

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean time = 10 minutes

$\sigma$ = standard deviation = 2 minutes

n = sample of individuals fill out form on Day 1 = 5

Now, the probability that the sample average time taken is less than 11 minutes for Day 1 is given by = P( $\bar X$ < 11 minutes)

P( $\bar X$ < 11 minutes) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{11-10}{\frac{2}{\sqrt{5} } }$ ) = P(Z < 1.12) = 0.86864

The above probability is calculated by looking at the value of x = 1.12 in the z table which has an area of 0.86864.

(b) Let $\bar X$ = sample average time taken

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean time = 10 minutes

$\sigma$ = standard deviation = 2 minutes

n = sample of individuals fill out form on Day 2 = 6

Now, the probability that the sample average time taken is less than 11 minutes for Day 2 is given by = P( $\bar X$ < 11 minutes)

P( $\bar X$ < 11 minutes) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{11-10}{\frac{2}{\sqrt{6} } }$ ) = P(Z < 1.22) = 0.88877

The above probability is calculated by looking at the value of x = 1.22 in the z table which has an area of 0.88877.

5 0

3 years ago

Ciara brought $240 to spend on gifts for her family. She found 8 indentical statues at a gift shop. She had $72 leftover. How mu

shutvik [7]

To solve this problem you must apply the proccedure shown below:

1. The problem says that she had $240 to spends on gifts. When she bougth 8 identical statues she had $72 leftover. Therefore, let's call the cost of each statue $x$ .