The average diameter of sand dollars on a certain island is 5.00 centimeters with a standard deviation of 0.90 centimeters. If 1
1 answer:
Answer:
The likelihood that the average diameter of these sand dollars exceeds 4.73 centimeters is 0.5910
Step-by-step explanation:
Provided data:
mean, x = 5
standard deviation, σ = 0.9
sample size, n = 16
We will determine the probability of the average diameter of the sand dollars being greater than 4.73 centimeters.
P(x>4.73) = P(z > (4.73 - x) / (σ )
= P(z > (4.73 - 4) / (0.9 )
= P(z > 0.203)
= 0.5910
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Response:
Her brother catches up to her at 11 am + 4 hours = 15 p.m
Detailed explanation:
Provided information;
Ariel's speed = 45 mph
She departed at 9 a.m
Her brother's speed = 60 mph
He began at 11 a.m
Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.
Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster
Therefore, with this speed, he will catch up to her in = 4 hours.
So her brother catches up with her at 11 am + 4 hours = 15 p.m