Answer:
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
<em> P(920≤ x≤1730) = 0.7078 </em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given mean of the Population = 1100 lbs
Standard deviation of the Population = 300 lbs
Let 'X' be the random variable in Normal distribution
Let x₁ = 920
Let x₂ = 1730
<u><em>Step(ii)</em></u>
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)
= P(-0.6 ≤Z≤2.1)
= P(Z≤2.1) - P(Z≤-0.6)
= 0.5 + A(2.1) - (0.5 - A(-0.6)
= A(2.1) +A(0.6) (∵A(-0.6) = A(0.6)
= 0.4821 + 0.2257
= 0.7078
<u><em>Conclusion:-</em></u>
The probability that the weight of a randomly selected steer is between 920 and 1730 lbs
<em> P(920≤ x≤1730) = 0.7078 </em>
Answer:
Maria's book is 202 pages long, Brandon's book is 146 pages long
Step-by-step explanation:
We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.
We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:
x=y+56
We also see that their booklengths add up to 348, and can get:
x+y=348
From here, we solve for x and y. We can use substitution to find y.
x+y=348
(y+56)+y=348
2y=292
y=146
Here we plug in for x:
x=y+56
x=(146)+56
x=202
Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long
34
because, 34 = 14 + (10 x 2)
and 34 = 24 + (10 x 1)
<h3>
Answer:</h3><h3>
-3.5,-0.5</h3>
Step-by-step explanation:
Answer:
<h3>25m</h3>
Step-by-step explanation:
Perimeter of the rectangular pasture P = 2(L+W)
Area A = LW
L is the length
W is the width
Given
Perimeter = 110m
Area = 750m
If the length of the pasture is 40m longer than the width, then L = W+40
110 = 2L+2w
55 = L+W .....1
750 = LW.....2
Solving simultaneously
from 1; L = 55-W
substitute into 2;
750 = (55-W)W
750 = 55W-W²
-W²+55W -750 = 0
W²-55W+750 = 0
(W²-25W)-(30W+750) = 0
W(W-25)-30(W-25) = 0
(W-25)(W-30) = 0
W-25 = 0 and W-30 = 0
w = 25m and 30m
Since L = 55-W
L = 55-25 = 30m and;
L = 55-30 = 25m
Since we are told that length id longer than the width then, the width we are going to use is 25m
