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Eva8 [605]
3 years ago
9

If x equals 6, what is the order of the angles from smallest to largest degree?

Mathematics
2 answers:
aleksandrvk [35]3 years ago
8 0

Answer:

A

Step-by-step explanation:

just find the value , and you will get tje answer

Slav-nsk [51]3 years ago
4 0
(A) A< B< C so yeah it’s A
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The scores of students on the ACT college entrance exam in a recent year had the normal distribution with mean  =18.6 and stand
Maurinko [17]

Answer:

a) 33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) 0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 18.6, \sigma = 5.9

a) What is the probability that a single student randomly chosen from all those taking the test scores 21 or higher?

This is 1 subtracted by the pvalue of Z when X = 21. So

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

Z = \frac{21 - 18.6}{5.4}

Z = 0.44

Z = 0.44 has a pvalue of 0.67

1 - 0.67 = 0.33

33% probability that a single student randomly chosen from all those taking the test scores 21 or higher.

b) The average score of the 76 students at Northside High who took the test was x =20.4. What is the probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher?

Now we have n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768

This probability is 1 subtracted by the pvalue of Z when X = 20.4. So

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

By the Central Limit Theorem

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

Z = \frac{20.4 - 18.6}{0.6768}

Z = 2.66

Z = 2.66 has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.39% probability that the mean score for 76 students randomly selected from all who took the test nationally is 20.4 or higher

4 0
3 years ago
A truck is carrying 10 cars weighing an average of 3,500 pounds each. What is the total weight in tons of the cars on the truck?
irina [24]
The total weight is Roughly 17.5 Tons
4 0
3 years ago
Please help!!!!!! i need this done asap!!! brainliest to whoever answers!!
Tatiana [17]

Answer:

volume = Pi(2x^2+3x-5) x (2x+5)^2    or     P1(8x^4+52x^3+100x^2-125)

Step-by-step explanation:

radius = (4x+10)/2 = 2x+5

volume = Pi(2x^2+3x-5) x (2x+5)^2

volume = Pi(2x^2+3x-5) x (4x^2+20x+25)

volume = P1(8x^4+52x^3+100x^2-125)

7 0
3 years ago
The time a cake must bake is between 25 minutes and 30 minutes, inclusive
KatRina [158]
I honestly don’t know wish I could help
5 0
3 years ago
Which reaction takes place in a nuclear fission reactor? <br><br> Image below
photoshop1234 [79]

Answer:

The reaction that takes place in a nuclear fission reactor is answer D.

Step-by-step explanation:

Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which  mainly ends up as heat energy.

So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).

6 0
3 years ago
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