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horsena [70]
2 years ago
9

I need help with this,, will give brianliest and +15 points

Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0

Answer:

41x² - 27x + 27

Step-by-step explanation:

Perimeter of Rectangle:

= 2(20x²-12x+4) + 2(5x²-5x+15)

= 40x²-24x+8 + 10x²-10x+30

= 50x²-34x+38

Perimeter of Triangle:

= 6x²+6x+3x+3+3x²-2x+8

= 9x²+7x+11

Difference:

(50x²-9x²)+(-34x+7x)+(38-11)

= 41x² - 27x + 27

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. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an
Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution

Problems of normally distributed samples can be 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.

In this problem, we have that:

\mu = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12

What is the probability that the average score of a random sample of 20 students exceeds 59.5?

This is 1 subtracted by the pvalue of Z when X = 59.5. So

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

Z = \frac{59.5 - 56}{1.12}

Z = 3.1

Z = 3.1 has a pvalue of 0.9990.

So there is a 1-0.9990 = 0.001 = 0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

3 0
3 years ago
Find the measure of x<br> please no bots:(it’s easy
IceJOKER [234]

Answer:

60

Step-by-step explanation:

There are 6 equal angles that add up to 360 in that diagram. That means that if you divide 360 by 6, then you get 60.

Hope that this helps!

Edit: Thanks for the Brainliest!

6 0
2 years ago
You answer 12 emails in 15 minutes. How many emails can you answer in 2 hours?
Marysya12 [62]

Answer:

96

Step-by-step explanation:

you divide 60 min by 15 to get 4 then u multiply 12 × 4 =48 then multiply 48 × 2=96

8 0
3 years ago
A bag contains 10 marbles: 2 are green, 4 are red, and 4 are blue. Carlos chooses a marble at random, and without putting it bac
Sveta_85 [38]

Step-by-step explanation:

The fraction is 4/10 * 2/9 = 4/45.

5 0
3 years ago
Read 2 more answers
I need help please.
VARVARA [1.3K]

Answer:

that anzwer will be (9) ok

3 0
3 years ago
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