Answer:
area = 62ft
Step-by-step explanation:
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%.
Answer: f(x) = 195 - x*5
Step-by-step explanation:
Colton has 120 small prizes and 75 larger prizes.
Then at the start, he has 120 + 75 = 195 prizes.
In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.
Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:
f(x) = 195 - x*5
Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.
Answer:
<u>The final answer is D. 216 x⁶ y⁵</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
4 * 2 * 3³
4 * 2 * 27
216
2. Variable x:
We have x * x² * x ³ = x¹⁺²⁺³ = x⁶
x⁶
3. Variable y:
We have y * y * y³ = y¹⁺¹⁺³ = y⁵
y⁵
4. Adding the pieces:
We put coefficients and variables together: 216 x⁶ y⁵
<u>The final answer is D. 216 x⁶ y⁵</u>