Answer:
80/81
Step-by-step explanation:
If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.
The probability of getting at least 1 head involves 4 scenarios:
1) 1 Head and 3 Tails
2) 2 Heads and 2 Tails
3) 3 Heads and 1 Tail
4) 4 Heads
Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:
P(at least one head) + P(no heads) = 1
Then, P(at least one head) = 1 - P(no heads)
The probability of 4 tails is:
P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81
Then, P(at least one head) = 1 - 1/81=80/81
Answer:
(c)the sum of the GP.?
Step-by-step explanation:
Answer:
9 and 6
Step-by-step explanation:
Write down the system.
The two numbers are x and y.
We are therefore given:
x+y=15
x-y=3
I will solve this for elimination since it is already setup for it.
I will add the columns since both equations are in the same form.
2x+0y=18
2x =18
Divide both sides by 2:
x =18/2
Simplify:
x =9
So if x+y=15 and x=9, then y=6.
The two numbers are 9 and 6.
Test:
9+6=15
9-6=3
Answer:
256 cm^2
Step-by-step explanation:
The area of the rectangle is the product of its length and width.
A = (16 cm)(10 cm) = 160 cm^2
The area of each triangle is half the product of its base and height.
A = (1/2)(16 cm)(6 cm) = 48 cm^2
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Then the area of the rectangle and 2 triangles is ...
160 cm^2 + 2(48 cm^2) = 256 cm^2
The area of the composite figure is 256 cm^2.
