PE = mgh
m = 6 kg, g = 9.8 m/s^2, h = 10m
6 * 9.8 * 10 = 588 J
Answer:
1.178511301978
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
Its 61. So 47+72 which equals 119 then subtract from 180 to get 61
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