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Andrej [43]
3 years ago
5

The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side l

ength of 6 centimeters? Do not include units in your answer
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

36

area of square = s²

given s = 6 , then

area = 6² = 36



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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
Pleasssseeeee hhhheeeellllppppp
Margarita [4]

Answer:

They look similar but just rotated

Step-by-step explanation:

pls mark as brainliest

5 0
3 years ago
Read 2 more answers
Nanda Yueh and Lane Zuriff sell homes for ERA Realty. Over the past 6 months they sold 136 homes. Nanda sold 3 times as many hom
Marta_Voda [28]

Answer:

Lane sold 34 homes.

Nanda sold 102 homes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

Nanda sold x homes

Lane sold y homes

Over the past 6 months they sold 136 homes.

This means that x + y = 136

Nanda sold 3 times as many homes as Lane.

This means that x = 3y

Replacing in the first equation:

x + y = 136

3y + y = 136

4y = 136

y = \frac{136}{4} = 34

Lane sold 34 homes.

x = 3y = 34*3 = 102

Nanda sold 102 homes.

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3 years ago
I need help please!!
Ne4ueva [31]

Answer:

hyperbola

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8 0
3 years ago
√131 is between 11 and 12? true or false
guajiro [1.7K]
True
11 is √121
12 is √144
So √131 is in between 11 and 12
6 0
2 years ago
Read 2 more answers
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