Find product of 3/8 × 4
1 answer:
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Answer:
a
The null hypothesis is
The alternative hypothesis is
b
c
d
The decision rule is
Reject the null hypothesis
e
There is sufficient evidence to support the researchers claim
Step-by-step explanation:
From the question we are told that
The first sample size is
The sample variance for elementary school is
The second sample size is
The sample variance for the secondary school is
The significance level is
The null hypothesis is
The alternative hypothesis is
Generally from the F statistics table the critical value of at first and second degree of freedom
and
is
Generally the test statistics is mathematically represented as
=>
=>
Generally from the value obtained we see that Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to support the researchers claim
Oblique Cone
The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.
Step-by-step explanation:
An oblique cone has a radius of 4 units
A height of 8.5 units
A slant length of 11.7 inches
We have to use the slant height to calculate actual base
So in a right angle triangle when two sides are given the third side is calculated by
Root (sqr(11,7) - sqr(8.5)) = 8.03 units
⇒ 8.03 units
Formula to calculate the volume of oblique cone,......................(1)
V =
If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
V =
Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
Here r = 8.03 - 4 = 4.03 units
Volume = × 3.14 × 4.03 × 4.03 × 8.5
Volume = 144.49 cubic inches
Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.