Answer:
i) P(X<33) = 0.9232
ii) P(X>26) = 0.001
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 30
Given that the standard deviation of the Population = 4
Let 'X' be the Normal distribution
<u>Step(ii):-</u>
i)
Given that the random variable X = 33
>0
P(X<33) = P( Z<1.5)
= 1- P(Z>1.5)
= 1 - ( 0.5 - A(1.5))
= 0.5 + 0.4232
P(X<33) = 0.9232
<u>Step(iii) :-</u>
Given that the random variable X = 26
>0
P(X>26) = P( Z>3.5)
= 0.5 - A(3.5)
= 0.5 - 0.4990
= 0.001
P(X>26) = 0.001
Answer:
the second option is the correct one
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m = 
= 
= 
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) = (x - (- 4)), that is
y + 1 = (x + 4)
Answer:
6(8x-2)
48x- 12 (this is the answer)
Step-by-step explanation:
to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it
Answer:
y = 5x + 1
Step-by-step explanation:
Lines that are parallel to each other on a graph would have the same slope but different y-intercepts. When option A's equation is graphed along with the line given in the question, the lines appear to be parallel.
Option A should be the correct answer.
Step-by-step explanation:
60% of original price X = $180
60/100 × X = $180
60X/100= $180( cross multiply)
60X= 18000
X= 18000÷60
X= $300
