Answer:
X=1/4
Step-by-step explanation:
(x+x)*8=4
(2x)*8=4
16x=4
X=4/16=1/4
The probability that it willtake less than 34 minutes to complete the test is 0.1056
Given mean of 44 minutes and standard deviation of 8 minutes.
We have to find the probability that it will take less than 34 minutes to complete the test.
The probability lies between 0 and 1. The formula to calculate probability is number of items divided by total items but it can also be found through z test calculations.
We are using z test to find the probability.
Z=X-μ/σ
Where μ is sample mean and
σ= standard deviation
Z is z value
First we will find the p value from 34 to 44.
Z=34-44/8
=-10/8
=-1.25
P value for X<34=P(Z<-1.25)
=0.5-0.3944
=0.1056.
Hence the probability that it will take less than 34 minutes is 0.1056.
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Answer:
you can see when you put x = -3 you get 0 for g(x)
so we can write g(x) = 3+x because if we put x to be -3 in this equation you get 0.
a. h(0) = f(0)g(0), g(0) = 3+0= 3
h(0) = f(0)x3, now In the graph f(x) we can see at x=0, y is -1.
now h(0) = -1x3 = -3 (answer)
b. (-infinity, +infinity) or (-2, inf) I'm not sure.
c. values that yeild h(x)=0 are; -3, 3, -1.
A, the interquartile range is 10, does not fit.
The interquartile range is found by subtracting the upper quartile and the lower quartile; in a box-and-whisker plot these are the outer edges of the box. In this case, they are 40 and 20; 40-20 = 20, not 10.
Hello.
The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.
The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.
Your answer is: "C.)"
I hope this helps!