<span>
It's a binomial problem with n = 5, p = 0.12 ; x = 4
P(x=4) = 5C4(0.12)^4(0.88)^1 = 5*(0.00030736)(0.88) = 0.000912384..</span>
Answer:
7.15 hours or 7 hours 9 minutes.
Step-by-step explanation:
Time = distance / average speed.
= 715 / 100
= 7.15 hours.
Answer:
slope = 2, vertical intercept = 10
Step-by-step explanation:
The intercept, also called the y-intercept, is where the line crosses the y-axis
The vertical line (y-int) is crossed at 10, so vertical intercept = 10
Slope equals rise over run:
The line goes up 10 and moves right 5
10/5 = 2
This line has a positive 2 slope
Givens
Call one of the angles = x
The other one is 180 - x
They are in the ratio of 3 to 5
Equation
3/5 = x / (180 - x)
Solve
3/5 = x / (180 - x) Cross Multiply
3*(180 - x) = 5x
540 - 3x = 5x Add 3x to both sixes
540 = 5x + 3x
540 = 8x
Divide both sides by 8
540 / 8 = x
x = 67.5
One angle is 67.5
The supplement is 180 - 67.5 = 112.5
Check
67.5/112.5 = 0.6 which is the same thing as 3/5
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:
n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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