A polygon is regular when all angles are equal and all sides are equal True or False
1 answer:
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Answer:
The ladder is 4.86 foot from the base of the wall .
Step-by-step explanation:
Given as :
The length of the ladder = 28 ft
The ladder makes angle of 80° with the ground
Let The distance of the ladder from the foot of the wall = x ft
Now, From Triangle BAC
Cos angle =
I.e Cos 80° =
Or, 0.1736 =
Or, x = 0.1736 × 28
∴ x = 4.86 foot
So, The distance of ladder from wall base = x = 4.86 foot
Hence The ladder is 4.86 foot from the base of the wall . Answer
Answer:
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
Step-by-step explanation:
Problems of normally distributed samples are 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:
Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.
This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.
X = 81
has a pvalue of 0.6844
X = 69
has a pvalue of 0.3156
0.6844 - 0.3156 = 0.3688
36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.