The expected value of the inseam length of the jeans is found as
30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40
= ![\frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%5Ctimes30%20%2B%5Cfrac%7B25%7D%7B100%7D%5Ctimes32%2B%20%5Cfrac%7B10%7D%7B100%7D%5Ctimes34%2B%20%5Cfrac%7B10%7D%7B100%7D%5Ctimes36%20%2B%5Cfrac%7B10%7D%7B100%7D%5Ctimes38%2B%20%5Cfrac%7B15%7D%7B100%7D%5Ctimes40)
= ![9+8+3.4+3.6+3.8+6=33.8](https://tex.z-dn.net/?f=9%2B8%2B3.4%2B3.6%2B3.8%2B6%3D33.8)
Hence, the third option 33.8 is the correct expected value.
10.20
BECAUSE IF YOU ROUND THE TENTHS 4 MEANS 0.
Using the law of cosins
sin(angle) = Opposite Leg / Hypotenuse
The angle is given as 35 degree and the hypotenuse is given as 30 feet.
Sin(35) = X ( opposite leg) / 30
X = 30 * sin(35)
x = 17.2 feet.
Total height = 17.2 + 6.5 = 23.7, round to 24 feet.
The answer is 24 feet.
Answer:
Given:
x-y=-4
2x+y=4
Step-by-step explanation:
x-y=-4
2x+y=4
add both the equation, we get
⇒ x-y=-4
2x+y=4
⇒3x=-4+4
⇒3x=0
⇒x=0
∴ to find the value of y, put the value of x in any one equation
⇒x-y=-4
⇒0-y=-4
⇒-y=-4
⇒y=4
∴ x=0, y=4
The amount of paper that are needed to line the bottom of 3 drawers with paper is equal to 2,160 square inches.
<h3>How to determine the amount of paper?</h3>
First of all, we would calculate the area of the bottom of each drawer as follows:
Area = length × width
Area = 36 × 20
Area = 720 square inches.
Next, we would multiply this area by 3:
Total area = 720 × 3
Total area = 2,160 square inches.
Read more on area here: brainly.com/question/12940992
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<u>Complete Question:</u>
A decorator wants to line the bottom of 3 drawers with paper. If the bottom of each drawer measures 36 inches by 20 inches, how many square inches of paper are needed?
A. 1,040
B. 1,080
C. 2,040
D. 2,160