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Serhud [2]
3 years ago
7

Whats the principle square root of 100 A.10 B.50 C.200 D.10,000

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0
The principle SQRT of 100 would be 10 because 10*10 is 100
timurjin [86]3 years ago
3 0
Its 10Because 10*10 is 100 so the square root of 100 is tec
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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
Differentiate y= ln (6 – 3x)^4​
dsp73

Step-by-step explanation:

\frac{dy}{dx}  =  \frac{1}{ {(6 - 3x)}^{4} }  \times  {4(6 - 3x)}^{3} ( - 3) \\  =   \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} }   \\  =  -  \frac{12}{6 - 3x}

I hope I'm correct. I've never learnt differentiation for log and exponents before

3 0
3 years ago
The product of nine and a number is added to 6, the result is 24. What is the number?
cestrela7 [59]
The number is 2

9 x 2 = 18
18 + 6 = 24
3 0
3 years ago
Solve the formula v+f−e=2 for e
Bess [88]
Add e to both sides and subtract 2 from both sides :: v+f-2=e
8 0
3 years ago
Choose the function whose graph is a parabola.<br> O y=x+91<br> O y=3<br> O y=x2-10<br> O y=-2x
Kitty [74]

Answer:

O y=x^2-10

Step-by-step explanation:

x^2 = parabola

the rest are just linear equations

7 0
3 years ago
Read 2 more answers
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