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max2010maxim [7]
3 years ago
9

Plz solve

Mathematics
2 answers:
4vir4ik [10]3 years ago
4 0

Answer:

x = 80°

Step-by-step explanation:

The sum of the interior angles of a hexagon is 720 degrees. So,

x + (x - 5) + (x - 5) + (2x - 5) + (2x - 5) + (2x + 20) = 720

Eliminating parenthesis

x + x - 5 + x - 5 + 2x - 5 + 2x - 5 + 2x + 20 = 720

Adding and subtracting

9x + 0 = 720

Isolating x

x = 720/9

x = 80

Neporo4naja [7]3 years ago
3 0

Answer:

6 and up

Step-by-step explanation:

this is beacuse when you add all the angels up you you would have to have a minimum of 6 to pass the negative 5

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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
Carlos started a business with 8 customers. Each month, his business increased by 4 customers. He would like 52 customers a mont
maxonik [38]

Answer: 11 months

Step-by-step explanation:

Let the number of months that it will take him to reach his goal be represented by x.

Based on the information given in the question, this can be formed into an equation as:

8 + 4x = 52

4x = 52 - 8

4x = 44

x = 44/4

x = 11

It will take 11 months to reach the goal

5 0
3 years ago
A package of four bottles of a sports drink cost $5.28. what is the cost per bottle
Dafna1 [17]
$1.32 per bottle because you would divide $5.28 into 4 and get $1.32
3 0
3 years ago
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Mrs. Ellington has a $50 gift card to Best Buy. She purchased a DVD for $28. Which inequality shows all possible values for x, t
Effectus [21]

Answer:

4th option

Step-by-step explanation:

She purchased a DVD for $28.

$50 - $28 = $22

1. 22 < 22

2. 22 > 22

3. 22 < 78

4. 22 > 78

I would say it would be the 4th option because she can only spend less than 78.

I can be very incorrect though, don't depend on me that much. Just make sure to think about my answer and what you would answer.

4 0
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Answer:

16 cups.

Step-by-step explanation:

A cup is 8 ounces, and a gallon is 128 ounces.

4 0
2 years ago
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