Find the value of x. Right triangle: Hypotenuse is 11, base is x, angle is 22 degrees.
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Answer:
Standard error of mean = 689
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $28,520
Standard Deviation, σ = $5600
Mean of sampling distribution =
As per Central Limit Theorem, if the sample size is large enough, then the sampling distribution of the sample means follow approximately a normal distribution.
Sample size, n = 66
Since the sample size is large, we can use normal distribution for approximation.
Standard error of mean =
Total number of marbles:
75 + 50 + 100 + 25 = 250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.
To find the probability that each event occurs in order, simply multiply them all together.
75 + 50 + 100 + 25 = 250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.
To find the probability that each event occurs in order, simply multiply them all together.