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ira [324]
2 years ago
10

What is a solution of the inequality p +4-2 (p-10)>0

Mathematics
1 answer:
Troyanec [42]2 years ago
4 0
First we distribute -2 into p and -10.

<span>p + 4 - 2 (p - 10) > 0

-2 x p = -2p
-2 x -10 = 20

After that, you'll get 

p + 3 - 2p + 20 > 0

Then we must add like terms.

-2p + p = 1p or p
3 + 20 = 23

After that you'll get

p + 23 > 0

Our goal is to get 'p' by itself, so we must subtract 23 on both sides of the inequality.

</span>p + 23 > 0
    - 23  -23

So, p > -23 is the answer
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Semmy [17]

9514 1404 393

Answer:

  B)  f(x) = 3

Step-by-step explanation:

The value in the f(x) column is always 3, so the only reasonable choice is ...

  f(x) = 3

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3 years ago
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Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake.
qwelly [4]

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Step-by-step explanation:

Let,

Cost of one French silk cheesecake = x

Cost of one apple cheesecake = y

According to given statement;

8x+y=54     Eqn 1

3x+y=29     Eqn 2

Subtracting Eqn 2 from Eqn 1

(8x+y)-(3x+y)=54-29\\8x+y-3x-y=25\\5x=25

Dividing both sides by 5

\frac{5x}{5}=\frac{25}{5}\\x=5

Putting x=5 in Eqn 1

8(5)+y=54\\40+y=54\\y=54-40\\y=14

The cost of one French silk cheesecake is $5 and one apple cheesecake is $14.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/10250188
  • brainly.com/question/10480770

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3 0
2 years ago
Suppose the horses in a large stable have a mean weight of 975lbs, and a standard deviation of 52lbs. What is the probability th
Lubov Fominskaja [6]

Answer:

0.8926 = 89.26% probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable

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 are 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 975, \sigma = 52, n = 31, s = \frac{52}{\sqrt{31}} = 9.34

What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable?

pvalue of Z when X = 975 + 15 = 990 subtracted by the pvalue of Z when X = 975 - 15 = 960. So

X = 990

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

By the Central Limit Theorem

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

Z = \frac{990 - 975}{9.34}

Z = 1.61

Z = 1.61 has a pvalue of 0.9463

X = 960

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

Z = \frac{960 - 975}{9.34}

Z = -1.61

Z = -1.61 has a pvalue of 0.0537

0.9463 - 0.0537 = 0.8926

0.8926 = 89.26% probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable

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3 years ago
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Travka [436]

Answer:

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2 years ago
Find the Mean,<br> 3, 9, 13, 8, 10, 2<br> Mean<br><br><br> can someone help me?
Doss [256]

Answer:

7.5

Step-by-step explanation:

3 + 9 + 13 + 8 + 10 + 2 = 45

There are 6 numbers so we divide 45 by 6

45/6 = 7.5

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