Answer:
x ≈ 9.5 , y ≈ 15.3
Step-by-step explanation:
sin32° = =
( multiply both sides by 18 )
18 × sin32° = x , then
x ≈ 9.5 ( to the nearest tenth )
cos32° = =
( multiply both sides by 18 )
18 × cos32° = y , then
y ≈ 15.3 ( to the nearest tenth )
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:
3)
4)
Step-by-step explanation:
distance between two points:
we have:
3) (6, -2), (8, -3)
so we have:
4) (7,-8), (-8, 2)