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Strike441 [17]
3 years ago
13

How Are the Suns rays like mathematical rays

Mathematics
2 answers:
aleksklad [387]3 years ago
4 0
Suns rays go from one point and go outwards and mathematical rays also go from one point and outwards. Both go in one direction continuously
natulia [17]3 years ago
3 0
The sun's rays are like mathematics rays because they start at a point like mathematics rays and the go on forever HOPE THAT HELPS
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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
you deposit 1000 in savings account that earns .5% each month assuming you do not deposit or withdraw any money from the account
ikadub [295]

Answer:

$1015.11

Step-by-step explanation:

Compounded interest rate formula: A = P(1 + r/n)^t

Step 1: Plug in known variables

A = 1000(1 + 0.005/12)^36

Step 2: Multiply it all together

1000(1.00042)^36

1000(1.01511)

1015.11

This is a pretty bad bank considering only giving you .5% interest per month.

7 0
3 years ago
8^(2x-1)=4^(3x+4)<br> PLEASE HELP ME
icang [17]

Answer: x=1.6

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Help please!! The measures of the angles of a triangle are shown in the figure below. solve for x
tatiyna

9514 1404 393

Answer:

  x = 33

Step-by-step explanation:

The angles are complementary.

  x° = 90° -57°

  x = 33

3 0
3 years ago
Which of the following is the quotient of rational expressions shown below?
emmasim [6.3K]

Answer: 6x - 3 over x^3

Step-by-step explanation:

7 0
3 years ago
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