Doug took 180 photos during his vacation. He took 2/3 of photos during
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Answer: 1. D) 30
2. A) 8
3. B) 4/15
4. A) 2/9
5.D) 64%
Step-by-step explanation:
1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.
Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token
Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.
2. Since, getting green is an event with 8 favorable outcomes.
Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.
3. The possibility of getting green in first drawn, P(G) =
P(G) =
4. Here, Number of red socks= 5
Number of white socks = 2 and Number of blue socks=3
Therefore total socks = 10
⇒ Probability of picking a pair of red socks,
P(R)=
⇒ P(R)= 2/9
5. Since, here coin is flipped 50 times and lands on heads 32 times.
Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%
12,900 BTU's are required to cool the room effectively.
Step-by-step explanation:
Step 1:
We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.
It is made up of a semi-circle a rectangle, and a trapezoid.
Step 2:
The area of a semi-circle
Here, the diameter is 20 feet so the radius is 10 feet.
The area of the semi-circle square feet.
The area of a rectangle
The length of the rectangle is 22 feet and the width is 20 feet.
The area of a rectangle square feet.
The area of a trapezoid
Here .
The area of a trapezoid square feet.
Step 3:
The total area of the floor plan square feet.
If 20 BTU's are required for a single square foot,
The number of BTU's for 645.079 square feet BTU's.
Rounding this off, we get 12,900 BTU's required to cool the room effectively.