Answer:
a) 0.7734
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
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 question, we have that:
(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So
has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734
Answer:
The ratio is 9:6 or 3:2 simplified.
Step-by-step explanation:
a ratio is just of many of one thing there are the the quantity of another thing. In this case, there are 9 chocolate pieces to every 6 sugar pieces. This can be written as the fraction 
and can be simplified to 
So that there are 3 chocolate pieces to every 2 sugar pieces.
Answer:
17.54 ft
Step-by-step explanation:
Moving along the line from (–4.2, –6.4, 4.5) to (7.1, 2.2, 5.8), x increases by 11.3, y by 8.6 and z by 10.3.
Applying the Pythagorean Theorem twice, we get
(length of clothesline) = √( 11.3² + 8.6² + 10.3²), or 17.54 ft.
<span>sum of the interior angles of a polygon = (n - 2) x 180
</span>hexagon has 6 sides , in this case n = 6
so
(6-2) x 180
= 4 x 180
= 720
answer
<span>c. 720</span>
You would do 0.04 because you moved the "pretend" decimal to the left 2 times. So then, it would be 0.04 x 140 = . Which would give you your answer of 5.6.
