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
Step by step:
Perimeter = Summation of all sides = AB+BC+CD+DA = 2x+2+x+2x+2+x=(6x+4)
⇒6x+4=154
⇒6x=154−4
⇒
⇒25=x
The breadth is x=25
The length of the rectangular pool = (2×25+2)=50+2=52m
<em>breadth </em>is 25 and the<em> length </em>is 52
Hope it helps!
Answer:
Step-by-step explanation:
x and y are supplementary angles, so their sum is 180°.
x+y = 180°
x is 16° less than three times y
x = 3y - 16°
(3y-16°) + y = 180°
4y = 196°
y = 49°
x = 3y-16° = 131°
11. 3333333333 is the answer to your question your welcome
1. Start with y=sx+m and input the slope of the line given, because the two lines are parallel they have the same slope. Then input the X and Y coordinates of point X to get 10=-1/2-5+m and finally solve the equation to get m=-7.5 or -15/2 making slope intercept form Y=-1/2-5-15/2
2. Follow the same instructions imputing 1/2 in as the slope because it is perpendicular to the line. so you get 10=1/2-5+m. solve to get m=7.5 or 15/2 making the final equation Y=1/2X+15/2
