Answer:
Step-by-step explanation:
Let the point P is at the origin (0, 0).
Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.
Rule for the dilation of a point by a scale factor = k
(x, y) → (kx, ky)
If k =
Then, A(8, 4) → A'(4, 2)
B(-2, 2) → B'(-1, 1)
C(4, -4) → C'(2, -2)
Now we can plot the new image with points A', B' and C'
Answer:
The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.
P(6.8 ≤X≤9.3) = 0.5932
Step-by-step explanation:
Step 1:-
by using normal distribution find the areas of given x₁ and x₂
Given The average watermelon weighs 8 lbs
μ = 8
standard deviation σ = 1.5
I) when x₁ = 6.8lbs and μ = 8 and σ = 1.5
ii) when x₂ = 9.3 lbs and μ = 8 and σ = 1.5
<u>Step2</u>:-
The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.
P(6.8 ≤X≤9.3) = A(z₂) - A(-z₁)
= A(0.866) - A(-0.8)
= A(0.866)+ A(0.8)
check below normal table
= 0.3051 + 0.2881
= 0.5932
<u>Conclusion</u>:-
The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.
P(6.8 ≤X≤9.3) = 0.5932
