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Vaselesa [24]
3 years ago
15

Complete the table for the given rule.

Mathematics
1 answer:
LekaFEV [45]3 years ago
5 0

Answer:

uh 52

Step-by-step explanation:

I say 52 cause like it sounds about reasonable

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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 i've been stuck on these for a bit now!
lisov135 [29]

Answer:

Q6. D

Q8. A

Step-by-step explanation:

Q6. In 40 trials, he flipped '2 heads and 1 tail' 16 times.

For 2 heads, probability= 16/40= 4/10

For 120 trials, number of times= 4/10 × 120= 48

Q8.

125x + 200 \geqslant 1200 \\ 125x \geqslant 1200 - 200 \\ 125x \geqslant 1000 \\ x \geqslant 1000 \div 125 \\ x \geqslant 8

Answer is A because the inequality shows that x is equal or greater than 8 so the dot at 8 has to be coloured.

Note that we do not change the inequality sign unless we are dividing the whole thing by -1.

5 0
3 years ago
Write a number with the digit 3 in the tens places
vlada-n [284]
It can be any number so here is my awnser 437
5 0
3 years ago
A company will lease office space in two buildings. The annual cost of $21.75 per square foot in the first building and cost $17
lbvjy [14]
C...................
4 0
3 years ago
Correctly describe the slope of the graph of 2x + 5y = 6?
USPshnik [31]

Answer:

2x + 5y = 6z

ok

6 0
2 years ago
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