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2 years ago

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The perimeter of a rectangular flower garden is 66m and its area is 272m^2. Find the length of the garden.

1 answer:

ExtremeBDS [4]2 years ago

6 0

So we have lengths a and b and are given:

2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272

plug in one into the other:

(33-b)b = 272 => -b^2 +33b - 272 = 0

Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.

So a=16 and b=17 or vice versa.

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In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

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3 years ago

A.<br> B.<br> C.<br> D.<br> ????????????

qaws [65]

$n^{16}$ and 9 are the squares of, respectively, $n^8$ and 3.

So, using

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we have

$n^{16}-9=(n^8+3)(n^8-3)$

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3 years ago

Assume the availability of a method named makeStars that can be passed a non-negative integer n and that returns a String of n a

kramer

Answer:b

Step-by-step explanation:

b

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