Each side of the square is 16 ft
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
Answer: 77°
<u>Step-by-step explanation:</u>
In relation to ∠X, 3 is the adjacent side and 13 is the opposite side.

Answer:
The height of the tree is
Step-by-step explanation:
Let
y ----> the height of the tree
we know that
----> the function tangent is equal to divide the opposite side angle of 33 degrees by the adjacent side angle of 33 degrees
Solve for y
Answer:
Proportion of women having blood pressures between 88.1 and 89.4 is 3.99% or close to 4%.
Step-by-step explanation:
We are given that a recent study reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.3 and standard deviation 8.6.
Let X = blood pressures of adult women in the United States
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean
= population standard deviation
So, Probability that women have blood pressures between 88.1 and 89.4 is given by = P(88.1 < X < 89.4) = P(X < 89.4) - P(X
88.1)
P(X < 89.4) = P(
<
) = P(Z < 1.05) = 0.85314
P(X
88.1) = P(
) = P(Z
0.89) = 0.81327
Therefore, P(88.1 < X < 89.4) = 0.85314 - 0.81327 = 0.0399 or approx 4%
Hence, proportion of women have blood pressures between 88.1 and 89.4 is 4%.