Answer:
286.5 days.
Step-by-step explanation:
This is a normal distribution problem with
Mean = μ = 266 days
Standard deviation = σ = 16 days.
Let the number that corresponds to the top 10% be a.
P(x > a) = 0.1
Let the z-score of a be z'
z' = (x - μ)/σ = (a - 266)/16
Using the normal distribution table, we can obtain the z-score that corresponds to z'
P(x > a) = P(z > z') = 1 - P(z ≤ z') = 0.1
P(z ≤ z') = 1 - 0.1 = 0.9
From the tables, z' = 1.282
P(z ≤ 1.282) = 0.9
And P(z > 1.282) = 0.1
1.282 = (a - 266)/16
16 × 1.282 = a - 266
20.512 = a - 266
a = 286.512 days
Hope this Helps!!!
Answer:
A.
Step-by-step explanation:
Because sqrt2+(-sqrt2)=0
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
The perimeter of a polygon is equal to the sum of all its sides. In a rectangle with dimensions length, x and width, y is calculated through the equation,
P = 2x + 2y
If width is y, then length is equal to 3y - 8. Substituting these to the equaiton,
P = 2(3y - 8) + 2y
Simplifying,
24 = 6y - 16 + 2y
24 = 8y - 16
The value of y from the equation is 5.
x = 3y - 8 = 3(5) - 8 = 7
Answers:
x = 7 feet
y = 5 feet
It's an arithmetic sequence:
The explicit rule:
Substitute:
<h3>Answer: f(n) = 6n - 2</h3>