Answer:
The probability that a 10-year old computer still has fully functioning MB and HD is 45%
Step-by-step explanation:
The probability of the union of two events, is equal to the sum of the individual probabilities of the two events, minus the probability of the intersection event.
That means that the probability of have a fully functional computer (PFC) is equal to the sum of probability of have a computer with a functional motherboards (PFMB) plus the probability of have a computer with a functional hard drives (PFHD), minus the probability of have a computer with both motherboards and hard drives functional (PBMH).
PFC = PFMB+PFHD-PBMH
PFMB = 1 - probability of having problems with motherboards = 1 - 40 %
PFMB = 1 - = 1 -
=
PFHD = 1 - probability of having problems with hard drive = 1 - 30 %
PFHD = 1 - = 1 -
=
PFMH = 1 - probability of having problems with both = 1 - 15 %
PFMH = 1 - = 1 -
=
PFC = +
-
PFC =
PFC = 0.45
<em>Multiply by 100 to get in in %</em>
The probability that a 10-year old computer still has fully functioning MB and HD is 45%
We have to calculate the difference of the given polynomials, we follows as:
After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.
=
Combining all the like terms, we get as
=
=
Option A is the correct answer.
Step-by-step explanation:
The height of a cylinder is twice the radius of its base.
Let the height of the cylinder = 2x
Let the radius of the cylinder = x
By formula, volume of the cylinder = π h
here r = x, h = 2x
substituting the values in the equation, we get
volume of the cylinder = π h = π
(2x)
volume of the cylinder = 2π
Answer:
Step-by-step explanation:
THESE ARE THE CORRECT ANSWERS
Answer:
We conclude that the new procedure will not decrease the population mean amount of time required to produce the part.
Step-by-step explanation:
We are given that a large manufacturing plant has analyzed the amount of time required to produce an electrical part and determined that the times follow a normal distribution with mean time μ = 45 hours.
A random sample of 25 parts will be selected and the average amount of time required to produce them will be determined. The sample mean amount of time is = 43.118 hours with the sample standard deviation s = 5.5 hours
<em>Let </em><em> = population mean amount of time required to produce an electrical part using new procedure</em>
SO, <u>Null Hypothesis</u>, :
45 hours {means that the new procedure will remain same or increase the population mean amount of time required to produce the part}
<u>Alternate Hypothesis,</u> :
< 45 hours {means that the new procedure will decrease the population mean amount of time required to produce the part}
The test statistics that will be used here is <u>One-sample t test statistics </u>because we don't know about the population standard deviation;
T.S. = ~
where, = sample mean amount of time = 43.118 hours
s = sample standard deviation = 5.5 hours
n = sample of parts = 25
So, <u><em>test statistics</em></u> = ~
= -1.711
<em>Now at 0.025 significance level, the t table gives critical value of -2.064 at 24 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>
Therefore, we conclude that the new procedure will remain same or increase the population mean amount of time required to produce the part.