Answers:
a) 0.0625
b) 0.9375
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Work Shown:
The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625
The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375
You can think of it like this
P(getting all four heads) + P(getting at least one tail) = 1
The phrasing "at least one tail" means "one tail or more".
Answer:
A = B + 15
Step-by-step explanation:
Let Diane sold B books in one hour,
Additional earning by selling 1 book = 1$
Additional earning by selling B books = Number of books sold × Additional earning by selling one book
= B × ($1.00)
= $B
Fixed earning of Diane in one hour of part time = $15
Total earnings = B + 15
A = B + 15
Table to find the input-output values for the graph,
A 15 16 17 18
B 0 1 2 3
Now we can plot the points on the graph.
Answer: 2(12 × 8)
Step-by-step explanation:
The area of the rug will be gotten by multiplying the length by its width. This will be:
= 12 foot × 8 foot
= 96feet²
Since the area of the room is twice the area of the rug, the equation you will use to solve for x will be:
= 2(12 × 8)
= 2(96)
= 192feet²
No it isn't because 2/5=0.4
Answer:
a) 7/10
b) 1/6
Step-by-step explanation:
a) There are 10 ways to roll a 5 or less. Of those, 7 are greater than 3.
(die 1)(die 2) ∈ {11, 12, 21, 13, 22, 31, 14, 23, 32, 41}
p(>3 | ≤5) = 7/10
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b) Of the 36 possible outcomes of rolling two dice, there are 6 ways to have a 6 and an odd number:
{16, 36, 56, 61, 63, 65}
The probability of interest is 6/36 = 1/6.
