Answer:
Step-by-step explanation:
x(x² + 2x + 4)-2((x² + 2x + 4)
x³+2x²+4x -2x²-4x-8
x³-8
Answer:
29.411 % of the result is true.
Step-by-step explanation:
This test's sensitivity is low.
Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.
But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.
And 85 % accuracy would give 95* 0.85= 80.75 which is very high.
And out of the 80.75 * 15%= 12.11 only 12 are positive .
The results give us 5 out of 17 true possibilities
or 5/17 *100= 29.411 % of the result is true.
Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let <em>X</em> denote the heights of women in the USA.
It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.
Step-by-step explanation:
4m2 - 24m + 8m - 32
4m2 - 16m - 32
2x + 5y = 4
5y = -2x + 4
y = -2/5 x + 4/5
parallel lines have same slope so slope = -2/5
equation
y +4 = -2/5 (x - 5)
y = -2/5 x + 2 - 4
y = -2/5 x - 2
answer is D
y = -2/5 x - 2