Hey guys If f(x)=5x^(4/3), then f'(8)=? can you solve this for me with good explanation
2 answers:
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Answer:
Probability that the sample average is at most 3.00 = 0.98030
Probability that the sample average is between 2.65 and 3.00 = 0.4803
Step-by-step explanation:
We are given that the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65 and standard deviation 0.85.
Also, a random sample of 25 specimens is selected.
Let X bar = Sample average sediment density
The z score probability distribution for sample average is given by;
Z = ~ N(0,1)
where, = population mean = 2.65
= standard deviation = 0.85
n = sample size = 25
(a) Probability that the sample average sediment density is at most 3.00 is given by = P( X bar <= 3.00)
P(X bar <= 3) = P( <=
) = P(Z <= 2.06) = 0.98030
(b) Probability that sample average sediment density is between 2.65 and 3.00 is given by = P(2.65 < X bar < 3.00) = P(X bar < 3) - P(X bar <= 2.65)
P(X bar < 3) = P( <
) = P(Z < 2.06) = 0.98030
P(X bar <= 2.65) = P( <=
) = P(Z <= 0) = 0.5
Therefore, P(2.65 < X bar < 3) = 0.98030 - 0.5 = 0.4803 .
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
hence, measure of the third side is 6x + 1
The mean is the sum of the given data divided by the number of the data
So we will add the data first
The sum of the times = 10 + 5 + 6 + 8 + 13 + 9 + 11 = 62
The number of students = 7
The mean is
Round it to the nearest tenth, then
The mean = 8.9
The mean travel time is 8.9