Answer:
(1) 0.4207
(2) 0.7799
Step-by-step explanation:
Given,
Mean value,

Standard deviation,

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)




( By using z-score table )
= 0.4207
(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)



= 0.9918 - 0.2119
= 0.7799
Step-by-step explanation:
For the point (5,8) to be a solution to the equations, when you insert x=5 and y=8 , they have to equal to the given values
substituting (5,8) into 4x+y
4(5)+8
=20+8
=28
substituting(5,8) into x-y=3
5-8
= -3
Answer:
We have 5% and 25% solutions and we need 300 ml of 10%.
Setting up 2 equations:
A) x + y = 300
B) .05 x + .25 y = (.10 * 300) Multiplying A) by -.25
A) -.25x -.25y = -75 Then adding this to B) we get
-.20 x = -45
x = 225 ml .05% and we use 75 ml of 25%
Source: https://www.1728.com/mixture.htm
Step-by-step explanation: