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ollegr [7]
4 years ago
9

How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (1 point)

Mathematics
1 answer:
Sidana [21]4 years ago
4 0

Answer:

3x + 6 = 4x - 4

10 = x

ONE Solution

Step-by-step explanation:

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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
48 wooden pre-sharpened pencils cost $1.88. How much does EACH pencil cost?
Lady bird [3.3K]

Answer:

0.04 is as close as it gets

5 0
3 years ago
Please help me with this question<br><br><br><br> pls, I really need help
Inessa [10]
Answer: x=7, y=-23
(7,-23)

Explanation:

4 0
3 years ago
What is ATP?????????????
natima [27]

Answer:

adenosine triphosphate.

Step-by-step explanation:

8 0
3 years ago
A wave emitted from a source has a frequency of 10 Hz and wavelength 2.5 m. How much time will it take to reach a person located
Vesnalui [34]

Time taken to reach a person located 5m from the source is 0.2s

<u>Explanation:</u>

Given:

Frequency, f = 10Hz

Wavelength, λ = 2.5m

Distance, d = 5m

Time, t = ?

We know:

velocity = f X λ

v = 10 X 2.5

v = 25 m/s

We know:

Distance = speed X time

On substituting the value we get:

5 = 25 X t

t = 0.2 seconds

Therefore, time taken to reach a person located 5m from the source is 0.2s

7 0
4 years ago
Read 2 more answers
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