Answer:
The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
Let <em>p</em> = the proportion of keypads that pass inspection at a cell phone assembly plant.
The probability that a randomly selected cell phone keypad passes the inspection is, <em>p</em> = 0.77.
A random sample of <em>n</em> = 111 keypads is analyzed.
Then the sampling distribution of 
is:
Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:
Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.
Answer:
B. The relative lengths of the corresponding sides in two triangles.
Step-by-step explanation:
We know that, Hinge theorem states that if two sides of one triangle is congruent to two sides of another triangle and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
Or we can also say it as, if two triangles have two congruent sides (sides of equal length), then the triangle with the larger angle between those sides will have a longer third side.
So basically,Hinge theorem compares the relative lengths of the corresponding sides in two triangles.
Answer:
Option 3. 1,000 times
Step-by-step explanation:
we know that
The value of digit 8 in 82.77 is equal to 80
The value of digit 8 in 20.18 is 0.08
so
Divide 80 by 0.08
80/0.08=1,000 times
X=his fortune
15/16X=7500
X=7500 x 16/15
X=8000
Standard deviations of the four activities of the critical path are 1,2,4,2.
Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path
Standard deviation of critical path 
Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.
That is, we need to find P(X<38) :
Probability 
Thus the probability that the project will be completed in 38 weeks is 0.34.
