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Butoxors [25]
4 years ago
12

Geneva wants to put fencing around her rectangular flower bed. The width of her flower bed is 2/3 the length. The perimeter of t

he flower bed is 20 feet. What are the dimensions of her flower bed?
Mathematics
2 answers:
Aleksandr [31]4 years ago
6 0
P = 2(L + W)
P = 20
W = 2/3L

20 = 2(L + 2/3L)
20 = 2(3/3L + 2/3L)
20 = 2(5/3L)
20 = 10/3L
20 * 3/10 = L
60/10 = L
6 = L <=== length

W = 2/3L
W = 2/3(6)
W = 12/3
W = 4 <=== width
SIZIF [17.4K]4 years ago
3 0

Answer:

length 6  width 4

Step-by-step explanation:

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An unfair coin has probability 0.3 of landing heads. The coin is tossed seven times. What is the probability that it lands heads
solmaris [256]

Answer:

0.9176 = 91.76% probability that it lands heads at least once

Step-by-step explanation:

For each time that the coin is tossed, there are only two possible outcomes. Either it lands heads, or it does not. The probability of a toss landing heads is independent of other tosses. 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.

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And p is the probability of X happening.

An unfair coin has probability 0.3 of landing heads.

This means that p = 0.3

The coin is tossed seven times.

This means that n = 7

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Either it does not lands heads, or it lands at least once. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). So

P(X \geq 1) = 1 - P(X = 0)

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