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poizon [28]
3 years ago
11

Help me solve this please .

Mathematics
1 answer:
lord [1]3 years ago
4 0

x = 59

3x - 33 = 2x + 26

-2x -2x

1x - 33 = 26

+33 +33

1x = 59

----- -----

1 1

x = 59

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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

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3 years ago
There are 4 red marbles and 8 blue marbles in a bag. Jamie will randomly pick one marble and flip a coin. what is the probabilit
Yuri [45]

Answer:

d

Step-by-step explanation:


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3 years ago
Answer plz fast plz I need help
Marrrta [24]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What would be the midpoint of a line segment with endpoints at (0,1)<br> and <br>(5,7) ?​
liubo4ka [24]

Answer:

(2.5, 4 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then midpoint is

[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Given

(0, 1) and (5, 7), then

midpoint = [ 0.5(0 + 5), 0.5(1 + 7) ] = (0.5(5), 0.5(8)) = (2.5, 4)

5 0
3 years ago
(SELECT ALL THAT APPLY)
steposvetlana [31]

The sequences of transformations that could be applied to the parent function will be:

  • reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
  • shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3.
  • reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit.

<h3>What is transformation?</h3>

A transformation of a function is a function that turns one function or graph into another, usually related function or graph.

In this case, the sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

Learn more about transformation on:

brainly.com/question/4289712

#SPJ1

5 0
2 years ago
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