What's the answer to number two

evablogger [386]

Answer:Number Example Natural number are those number which we can count.It denoted by N

Step-by-step explanation:

4 0

2 years ago

Which one doesn’t belong? Select a graph and give a reason why you selected the shape. Are there any other graphs that do not be

borishaifa [10]

Answer:

Graph 4

Step-by-step explanation:

Graph 4 does not belong. This is as a result of the fact that it Graph 4 has a negative slope(descends) while all other graphs have a positive slope(ascends).

Another way to view it is that the values in Graphs 1, 2 and 3 are directly related while the values in Graph 4 are inversely related.

3 0

3 years ago

Last season Ellen and Janet together won 32 tennis matches Ellen won 6 more than then Janet How many more matches did Ellen win

joja [24]

T = J + E

T = J + (J + 6)

T = 32

32 = 13 + (13 + 6)

32 = 13 + 19

32 = 32

Ellen won 19 matches.

8 0

3 years ago

Read 2 more answers

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 $n = 76, s = \frac{5.9}{\sqrt{76}} = 0.6768$