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aleksley [76]
3 years ago
11

What is 56(x+12+4) simplified

Mathematics
2 answers:
spayn [35]3 years ago
8 0
The answer is:  " 56x + 896 "  .
____________________________________
First, simplify the:

(x + 12 + 4) = (x + 16) ;

56(x + 12 + 4) =

56(x + 16) ;
_________________________
Note the distributive property of multiplication:

a(b + c) = ab + ac ;

a (b - c) = ab -  ac ;
_________________________

So;
_________________________
56(x + 16) =

56*x  +  56*16  =

56x + 896
________________________
Evgen [1.6K]3 years ago
5 0
The answer:


56 × (x + 15)
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Answer:

i believe it is B, havent used that skill in a bit !!

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What is the volume of the right triangular prism in cubic meters?
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915.78cm

Step-by-step explanation:

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hope its correct good luck!

6 0
2 years ago
According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answe
Ann [662]

Using the <em>normal distribution and the central limit theorem</em>, we have that:

a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

<h3>Normal Probability Distribution</h3>

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, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

In this problem:

  • 22% of couples meet online, hence p = 0.22.
  • A sample of 150 couples is taken, hence n = 150.

Item a:

The mean and the standard error are given by:

\mu = p = 0.22

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.22(0.78)}{150}} = 0.0338

The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 0.25</u>, hence:

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

By the Central Limit Theorem:

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

Z = \frac{0.25 - 0.22}{0.0338}

Z = 0.89

Z = 0.89 has a p-value of 0.8133.

1 - 0.8133 = 0.1867.

There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

Item c:

The probability is the <u>p-value of Z when X = 0.2 subtracted by the p-value of Z when X = 0.15</u>, hence:

X = 0.2:

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

Z = \frac{0.2 - 0.22}{0.0338}

Z = -0.59

Z = -0.59 has a p-value of 0.2776.

X = 0.15:

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

Z = \frac{0.15 - 0.22}{0.0338}

Z = -2.07

Z = -2.07 has a p-value of 0.0192.

0.2776 - 0.0192 = 0.2584.

There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213

4 0
2 years ago
The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What
dybincka [34]

Answer:

66%

Step-by-step explanation:

Use conditional probability.

P(full | holiday) = P(full AND holiday) / P(holiday)

P(full | holiday) = 0.19 / 0.29

P(full | holiday) ≈ 0.66

8 0
3 years ago
Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters. Th
Tatiana [17]
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450,           y = 450 : 3        y = 150
x = 15 + y           x = 15 + 150     x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.
4 0
3 years ago
Read 2 more answers
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