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Sati [7]
3 years ago
15

Counting the Number of Outcomes

Mathematics
1 answer:
ipn [44]3 years ago
5 0

Answer:

10

Step-by-step explanation:

If you add all them up you get the answer 10

(This is correct cause i got this answer right hope this helps!)

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A TV that usually sells for $174.45 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including
nekit [7.7K]

Answer:

$160.14

Step-by-step explanation:

15% of 174.45 = 26.16

174.45 - 26.16 = 148.28

8% of 148.28 = 11.86

148.28 + 11.86 = 160.14

5 0
2 years ago
Suppose you decided to keep flipping a coin until tails came up, at which
MAVERICK [17]

Answer:

B. 6.3%

Step-by-step explanation:

For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Fair coin:

Equally as likely to come up heads or tails, so p = 0.5

Probability that the first tails comes up on the 4th flip of the coin?

0 tails during the first three, which is P(X = 0) when n = 3.

Tails in the fourth, with probability 0.5. So

p = 0.5P(X = 0)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

p = 0.5P(X = 0) = 0.5*(C_{3,0}.(0.5)^{0}.(0.5)^{3}) = 0.0625

0.0625 * 100 = 6.25%

Rounding to the nearest tenth of a percent, the correct answer is:

B. 6.3%

4 0
3 years ago
Given f(x) = x - 7 and g(x) = x2<br> Find g({4)).<br> g(f{4)) =
maksim [4K]

Answer:

g({4)). g(f{4))  = 144

Step-by-step explanation:

Given f(x) = x - 7 and g(x) = x^2 Find g({4)). g(f{4)) =

g(4) = 4^2 = 16

g(f(4)) = (4 - 7)^2 = 9

g({4)). g(f{4)) =16 * 9  = 144

3 0
3 years ago
How do you find the area and perimeter of a trapezoid?
gulaghasi [49]
The area of a trapezoid, A, equals h, the height of the trapezoid, times the length of base one plus the length of base two divided by two.
The perimeter of a trapezoid, P, equals the measure of base one plus the measure of base two plus the measure of leg one plus the measure of leg two
That is as simple as i can make it lol. i hope it helps some
6 0
2 years ago
Read 2 more answers
Amanda composed 2 songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 286
xxMikexx [17]

LongSong = 286s

LongSong = 2 * ShortSong - 126s

=>

2 * ShortSong - 126s = 286s

2 * ShortSong = 286s + 126s

2 * ShortSong = 412s

ShortSong = 206s

5 0
3 years ago
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