Answer:
Your movie marathon will last 6 hours.
Step-by-step explanation:
This question can be solved using a rule of three.
Each movie lasts 
hours. How much do 4 movies last?
So
1 movie - 1.5 hours
4 movies - x hours
x = 4*1.5 = 6
Your movie marathon will last 6 hours.
Answer:
And we can find this probability with this difference:
And if we use the normal standard distribution or excel we got:
Step-by-step explanation:
Let X the random variable that represent the time required to construct and test a particular component of a population, and for this case we know the distribution for X is given by:
Where 
and 
We want to find this probability:
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Using this formula we got:
And we can find this probability with this difference:
And if we use the normal standard distribution or excel we got:
The angles look like
F- angles are corresponding angles.
Corresponding angles are congruent.
Answer:
$32.03
Step-by-step explanation:
Since there is a tax rate, you want to multiply $30.50 by 1.05 since you are adding tax to it and it is 5%. You should get 32.025 as the result, but since you need to round it, it is $32.03.
The answer is (3600 - 900π) ft²
Step 1. Find the radius r of circles.
Step 2. Find the area of the portion of the field that will be watered by the sprinklers (A1)
Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)
Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft
Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
A1 = 4 * π r² = 4 * π * 15² = 900π ft²
Step 3. Find the total area of the field (A2)
The field is actually a square with side s = 60 ft.
A2 = s² = 60² = 3600 ft²
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
A = A2 - A1
A = (3600 - 900π) ft²
