Tanα=h/x
x=h/tanα
x=70/tan38 ft
x≈89.6 ft (to nearest tenth of a foot)
Note: the question seems strange, (because this would make the ladder almost 114 feet long!) or are we to assume as I did that the ladder is leaning against a point 70 feet high, or should if be a 70 foot ladder leaning against a wall of unknown height?
If it is just a 70 ft ladder at a 38° inclination the:
cosα=x/L
x=Lcosα
x=70cos38° ft
x≈55.2 ft
Answer:
look at the photo below for the Answer.
:)
Answer:
0.7422 = 74.22% of scores are above 74.
Step-by-step explanation:
Problems of normally distributed samples 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 problem, we have that:

Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So



has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
Answer:
14 years old
Step-by-step explanation:
Assume Ray's sister's age is x.
Ray's age is (x/2)+3, i.e (x+6)/2
If Ray is 10yrs old,then
(X+6)/2 = 10,
x+6 = 20
x = 14
Therefore,Ray's siSter's /e is 14years