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mars1129 [50]
3 years ago
5

I need the answer Algebra question

Mathematics
1 answer:
Sav [38]3 years ago
5 0
He had 32 dollars at the beginning of the day

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The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

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 can be 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

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

By the Central Limit Theorem

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

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

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

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
2y = 1.2x + 1 the x from 1 to 3 i need to create a table
Goshia [24]
Y = 0.6x + 0.5 will be standard form. When x = 1, Y = 1.1. X=2, Y=1.7. X=3, Y=2.3.
4 0
3 years ago
(2c^{-5})^{3} simplify ​
andrew-mc [135]

Answer:

Step-by-step explanation:

If this is

(2c^{-5})^3 then you distribute the 3 to both terms inside the parenthesis (the 2 and the c^-5).  2 cubed is 8.  The rule for the power to power is that you multiply the powers together to get -15.  So the final simplification is

8^{-15}

6 0
3 years ago
Which function describes the graph below?
Verizon [17]

Answer:

Step-by-step explanation:

There are no pics

7 0
3 years ago
When adding the numbers 4+9+7+6+3 you can make one group of 10.True or False
Keith_Richards [23]

Answer:

false

Step-by-step explanation:

6 0
3 years ago
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