The value of z score for the history class test of Opal’s test score is negative one (-1).
<h3>What is normally distributed data?</h3>
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The z score for the normal distributed data can be given as,

The mean value of the scores of history class is,

The standard deviation value of the scores of history class is,

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).
Learn more about the normally distributed data here;
brainly.com/question/6587992
Answer: 1 1/3 or 4/3
Step-by-step explanation: f(4) =1/3(4) = 4/3 = 1 1/3
The area of a regular polygon<span> is given by the formula which is expressed as:
</span>area = (½)(apothem<span>)(perimeter)
</span>
We calculate as follows:
area = (½)(7<span>)(7.2 x 5)
</span>area = 126 square units
Hope this answers the question.
Answer:
Step-by-step explanation:
<u>The data given:</u>
- 93, 81, 94, 71, 89, 92, 94, 99
<u>Put the data in the ascending order:</u>
- 71, 81, 89, 92, 93, 94, 94, 99
<u>Since the data size is even, the median is the average of middle two:</u>
- median = (92 + 93)/2 = 92.5
9514 1404 393
Answer:
$7.14
Step-by-step explanation:
Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.
p + d + q = 45 . . . . . . . . there are 45 coins in the collection
2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies
p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies
Substituting the last two equations into the first gives ...
p +(p +4) +(2p +5) = 45
4p = 36 . . . . . . . . . . . . . subtract 9
p = 9 . . . . . . . . . . . divide by 4
d = 9 +4 = 13
q = 2(9) +5 = 23
The value of the collection is ...
23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14
The coin collection is worth $7.14.