Justin earned $25.67 one week and $37.85 the next
1 answer:
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Answer:
P-value is less than 0.999995 .
Step-by-step explanation:
We are given that a driver's education course compared 1,500 students who had not taken the course with 1,850 students who had.
Null Hypothesis, :
{means students who took the driver's education course and those who didn't took have same chances to pass the written driver's exam the first time}
Alternate Hypothesis, :
{means students who took the driver's education course were more likely to pass the written driver's exam the first time}
The test statistics used here will be two sample Binomial statistics i.e.;
~ N(0,1)
Here, = No. of students passed the exam ÷ No.of Students that had taken the course
=
Similarly,
=
= 1,850
= 1,500
Test Statistics = = -27.38
P-value is given by, P(Z > -27.38) = 1 - P(Z > 27.38)
Now, in z table the highest critical value given is 4.4172 which corresponds to the probability value of 0.0005%. Since our test statistics is way higher than this so we can only say that the p-value for an appropriate hypothesis test is less than 0.999995 .
a)
Check the picture below.
b)
volume wise, we know the smaller pyramid is 1/8 th of the whole pyramid, so the volume of the whole pyramid must be 8/8 th.
Now, if we take off 1/8 th of the volume of whole pyramid, what the whole pyramid is left with is 7/8 th of its total volume, and that 7/8 th is the truncated part, because the 1/8 we chopped off from it, is the volume of the tiny pyramid atop.
Now, what's the ratio of the tiny pyramid to the truncated bottom?
First, apply this following rule:
Second, apply this following rule:
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
Sixth, divide the denominator by the GCF.
Seventh, collect the new numerator and new denominator.
Answer as fraction:
Answer as decimal: 0.5