The 25th percentile corresponds to z ≈ -0.67.
The 90th percentile corresponds to z ≈ 1.28.
So, you can write two equations in μ and σ as here:
.. μ -0.67σ = 10
.. μ +1.28σ = 20
The solution is
.. μ ≈ 13.45
.. σ ≈ 5.11
Answer:
5 months
Step-by-step explanation:
Equate the formulas for the weights of the two boys:
J's weight = 120 lb + (10 lb/mo)m = D's weight = 150 lb + (4 lb/mo)m
Solve as follows: Subtract 120 lb from both sides:
(10 lb/mo)m = 30 lb + (4 lb/mo)m.
Then: (6 lb/mo)m = 30 lb, and m = (30 lb) / (6 lb/mo) = 5 months
Answer:
x >= -6
Step-by-step explanation:
Multiply:
(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x
Combine like terms:
(1/3)x + 1 >= (1/4)x + 1/2
Move the x's on one side and the integers on another:
(1/3)x - (1/4)x >= 1/2 - 1
(1/12)x >= -1/2
x >= -6
I hope this helped! :D
AC is the hypotenuse of triangle ABC.
Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.
This means AB is 6, which it the hypotenuse of triangle BCD.
Using cos(angle) = adjacent leg / hypotenuse we can find x:
cos(60) = X / 6
x = 6 * cos(60)
x = 3
To solve this, we simply need to break down the problem. Doing this will yield us the correct equation.
"8.46 less than"
This shows we are going to have something subtracted by 8.46.
-8.46
"the product of"
This shows we will have a multiplication problem.
*-8.46
"42 and x"
This shows the values that we will be multiplying
42*x-8.46
Now we can simplify
42x-8.46
Using the logic above, we can see that the expression to represent the phrase is 42x-8.46.
