A bag has 14 yellow Marbles and 6 red marbles half of the red marbles are made of plastic a marble is selected at random from th
1 answer:
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Answer:
0.0094.
Step-by-step explanation:
For the given experiment, let X be the lifetimes of parts manufactured from a certain aluminum alloy.
sample size =73
Sample mean = 784
Sample standard deviation = 120
Let µ represent the mean number of kilocycles to failure for parts of this type.
Null hypothesis, H0 : µ ≤ 750
Alternative hypothesis, H1 : µ > 750.
where,
is sample mean.
is population mean.
s is sample standard deviation.
n is the sample size.
It is a right tailed test because alternative hypothesis is µ > 750. So, P-value is the probability of observing a sample mean greater that 783 or the probability of P(z>2.35).
Therefore the P-value is 0.0094.
Answer:
3.14 or
Step-by-step explanation:
First, we need to know the equation for the area of a circle:
= Area of a circle
We can plug in the radius and then solve.
It can be worked out like this:
A = pi r^2
A = pi (2)^2
A = pi (4)
But since the figure in the picture is cut into 1/4 of the size of a full circle, we need to divide what we got by 4. We know the figure is 1/4 of a circle because of the right angle marker in the center. That means it measure 90 degrees, which is 1/4 of 360 degrees, the measure of a full circle.
A = pi (4)
———— (this is supposed to be a division sign)
4
This will cause the 4 on the top and the 4 on the bottom to cancel out, so we are left with only pi.
Your question says you can either use pi or 3.14 for pi, so that means your answer is either 3.14 or pi. By the way, when I use pi I mean the symbol:
It's just simpler to type out pi instead of using the equation builder each time.