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tia_tia [17]
3 years ago
8

Find the product of 71^2

Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Answer:

142

Step-by-step explanation:

Finding the product means that we are multiplying, and 71x2= 142

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A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta
nikklg [1K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • 1,190 adults were asked, hence n = 1190
  • In fact 62% of all adults favor balancing the budget over cutting taxes, hence p = 0.62.

The mean and the standard error are given by:

\mu = p = 0.62

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141

The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

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

By the Central Limit Theorem

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

Z = \frac{0.59 - 0.62}{0.0141}

Z = -2.13

Z = -2.13 has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
(100 points)
LekaFEV [45]

Answer:

30/10 and 5/11

Step-by-step explanation:

8 0
4 years ago
Select each type of special quadrilateral that can meet the given condition.
nadya68 [22]

Step-by-step explanation:

To find quadrilateral's you need to find shapes with edges.

<h2>Quadrilateral's:</h2>

Square

Rectangle

Isosceles Trapezoid

8 0
3 years ago
A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each. Find the percent markup.
Novosadov [1.4K]

Answer:

80%

Step-by-step explanation:

because 7200 / 300 equals 24 and 24 / 30 equals .8 so its 80% and if you want to check the answer you take 30 * .8 OR 80% and it gives you 24

3 0
3 years ago
Read 2 more answers
Rachel's free throw average for basketball is 60%. She wants to predict how many times in the next 50 tries she will make a free
Gnoma [55]
If she shot her average she would make 30 out of 50 shots (AKA 60%) 
She could use the index cards to record each shot, recording 5 results on each one of the 10 cards


I understand this answer is really late for you but I hope you can still use it or someone else can use it if they have the same assignment

5 0
3 years ago
Read 2 more answers
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