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:
Step-by-step explanation:
I answered another one of your questions so I will not explain as much. ther are 12 inches in a foot and then 5280 feet in a mile so that's 1 ft/ 12 in and 1 mi/ 5280 ft. So the math is 20 in * 1 ft/ 12 in * 1 mi/ 5280 ft = .000315 mi.
In reference to the last one, do keep in mind "square" inches and whatnot mean you square things. so 1 ft/ 12 in becomes 1 ft^2/ 144 in^2. Just as a small heads up to what could be tricky.
Answer:
Given that is a 45-45 triangle, the hypotenuse should be <em>x</em>
, so in this case. The hypotenuse should be 3
, and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!
Step-by-step explanation:
Answer:
Option (d) is correct.
Step-by-step explanation:
The initial amount Tommy has = $ 199
The actual amount that Tommy needs to purchase bike = 199 + 35 = $ 234
This is the price of the bike.
This condition can be true from option (d).
From option (d)
119 < b + 35
Put b = 234 we get
119 < 234 + 35
119 < 269
Thus the condition satisfied. so option (d) is correct.
Answer:
b = 125
Step-by-step explanation:
Given a varies directly as
then the equation relating them is
a = k
← k is the constant of variation
To find k use the condition a = 3 , b = 64 , then
3 = k
= 4k ( divide both sides by 4 )
= k
a =
← equation of variation
When a =
, then
=
( multiply both sides by 4 to clear the fractions )
15 = 3
( divide both sides by 3 )
5 =
, then
b = 5³ = 125