Answer:
4.8 feet
Step-by-step explanation:
Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.
Let x represent the horizontal distance (the adjacent leg)
cosine θ = adjacent / hypotenuse
cosine 76° = x / 20
(20)(cosine 76°) = x
4.8 = x
So, the horizontal distance is approximately 4.8 feet
The least common multiple is 240 of the following
Answer:
(A) 0.0013
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:
The probability that telephone call selected a random will last more than 15.5 min is most nearly
This is 1 subtracted by the pvalue of Z when X = 15.5.
So
has a pvalue of 0.9987
1 - 0.9987 = 0.0013
So the correct answer is:
(A) 0.0013
Answer:
0.497 < 1/2 < 0.55 < 3/5 < 6/7
Step-by-step explanation:
Order from Least to Greatest
1: Using the given inputs
2: Rewriting these inputs as decimals
3: Sorting this table by decimal values in order from least to greatest
4: Therefore, the sorted inputs in order from least to greatest is
Answer: 0.497 < 1/2 < 0.55 < 3/5 < 6/7
Hope this helps.
Answer:
given n(A) = 14
n(B) = 15
n(A∩B ) = 15
Step-by-step explanation:
now we know that ,n(AUB) = n(A)+n(B)-n(A∩B)
n(AUB) = 14+15-6 = 23.Answer
