Answer:
The probability that none will have high blood pressure is 0.0281
Step-by-step explanation:
The correct question is as follows;
Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure
This is a binomial problem. We shall solve in that line
The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2
The probability of failure q is thus 1-p = 1-0.2 = 0.8
The probability of none is thus;
P(X= 0) = 16C0 p^0 q^16
= 16C0 * 0.2^0 * 0.8^16 = 0.0281
Answer:
the answer should be 50
Step-by-step explanation:
Answer:
rs = -3/16 and the three minima x₁, x ₂ and x₄ fall at the value of integrating curve C
Step-by-step explanation:
The answer is found in the attachment.
Okay so every part of sugar requires 4 parts of water
so
3434 cups of sugar x 4 (parts of water per 1 part of sugar) = 13736
She will need to use 13, 736 parts of water for 3, 434 parts of sugar
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
