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
Answer:
0.0214
Step-by-step explanation:
We can get these answer by finding the z-scores at first
Mathematically;
z-score = x-mean/sd
For 900;
z-score = 900-750/75 = 150/75 = 2
For 975
z-score = (975-750)/75 = 3
So the probability we want to calculate is;
P(2<x<3)
This can be calculated using the standard normal distribution table
From the standard score table;
P(2<x<3) = 0.0214
Your answer is H. 33 1/3 %. -Link
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
a
The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows: