Answer:
The answer to the question provided is 14.4 ft.
Step-by-step explanation:
We can solve this using proportion!

57/40=14.25
14.25x100=142.5
d=142.5 feet
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.

Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of
.
Upon substituting our given values in z-score formula, we will get:





Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
(a) * (a+1) = 420
a^2 + a = 420
a^2 + a - 420 = 0
(a+21)(a-20) = 0
a = -21 OR 20
The two integers can be -21 and -20, OR 20 and 21.
Answer:

Step-by-step explanation:
Solve

For x=-1/2 and y=-3
substitute the value of x and the value of y in the expression above

Remember that

so

Convert to mixed number
