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Anettt [7]
3 years ago
13

I don’t understand the wording of this. Can someone help? Just 11 and 12.

Mathematics
1 answer:
muminat3 years ago
4 0
I am completely stumped with problem 11#. However, I understand 12#. Basically, they are asking what the markings on a ruler mean. The answer is that each line represents 1/16 inches.
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Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

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 problem, we have that:

\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
Please help me, i will give you brainliest
kifflom [539]

Answer:

52°i think

Step-by-step explanation:

148°-96°=52°

5 0
3 years ago
How do you calculate the mean of a number?
valentinak56 [21]

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

5 0
2 years ago
Read 2 more answers
–9 = –3(w − 5) help please!
marissa [1.9K]

Answer:

w = 8

Step-by-step explanation:

–9 = –3(w − 5)

-3(w - 5) = -9

w - 5 = 3

w = 5 + 3

w = 8

6 0
3 years ago
Read 2 more answers
How many solutions does -46+23=46x+23
Slav-nsk [51]

Answer:

x = -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−46+23=46x+23

(−46+23)=46x+23(Combine Like Terms)

−23=46x+23

−23=46x+23

Step 2: Flip the equation.

46x+23=−23

Step 3: Subtract 23 from both sides.

46x+23−23=−23−23

46x=−46

Step 4: Divide both sides by 46.

46x/46 = -46/46

6 0
3 years ago
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