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enyata [817]
3 years ago
12

I need help this with use 3.14 and use a expression of a formula of area

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer

Step-by-step explanation:

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The assistant manager of a surf shop estimates that 65% of customers will make a purchase. Part A: How many customers should a s
Ivan

Answer:

A) 2

B) 0.239

Step-by-step explanation:

Part A) Expected value of a binomial distribution is the number of trials times the probability of success.

X = np

Given X = 1 and p = 0.65:

1 = 0.65n

n = 1.54

Rounding up, a salesperson should expect 2 customers until he finds a customer that makes a purchase.

Part B) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Given n = 3, r = 1, p = 0.65, q = 0.35.

P = ₃C₁ 0.65¹ 0.35³⁻¹

P ≈ 0.239

Or, using binompdf function in a calculator:

binompdf(n, p, r)

= binompdf(3, 0.65, 1)

≈ 0.239

3 0
3 years ago
Ariana borrows $200 on a 6-year loan.She is charged 5% simple interest per year.How much interest is she charged for 6 years?Wha
maks197457 [2]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal (P)= $200

Interst rate (r)= 0.05

Time (t)= 6

F<u>irst, we need to calculate the total interest using the following formula:</u>

I= P*r*t

I= 200*0.05*6

I= $60

<u>Now, the total debt:</u>

Total debt= P +I

Total debt= 200 + 60

Total debt= $260

5 0
3 years ago
I need the answer for this one please
emmasim [6.3K]

Answer:

9.9

Step-by-step explanation:

all you need to do is to use the Pythagorean theorem. to find line segment ac.

8 0
2 years ago
✨Could ✨someone✨help ✨me ✨with ✨this? ✨It ✨would ✨be ✨much ✨appreciated✨
Nataly_w [17]

Answer:

B

Step-by-step explanation:

2x-5y=-25

5y=2x+25

y=2/5 x+5

8 0
3 years ago
Read 2 more answers
According to 2013 report from Population Reference Bureau, the mean travel time to work of workers ages 16 and older who did not
gregori [183]

Answer:

a) 48.80% probability that his travel time to work is less than 30 minutes

b) The mean is 30.7 minutes and the standard deviation is of 3.83 minutes.

c) 13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 30.7, \sigma = 23

a. If a worker is selected at random, what is the probability that his travel time to work is less than 30 minutes?

This is the pvlaue of Z when X = 30. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{30 - 30.7}{23}

Z = -0.03

Z = -0.03 has a pvalue of 0.4880.

48.80% probability that his travel time to work is less than 30 minutes

b. Specify the mean and the standard deviation of the sampling distribution of the sample means, for samples of size 36.

n = 36

Applying the Central Limit Theorem, the mean is 30.7 minutes and the standard deviation is s = \frac{23}{\sqrt{36}} = 3.83

c. What is the probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes?

This is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{35 - 30.7}{3.83}

Z = 1.12

Z = 1.12 has a pvalue of 0.8687

1 - 0.8687 = 0.1313

13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

8 0
3 years ago
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