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3 years ago

6

Jack has a square garden in front of his house. The garden has an area of 66 square yards. Find the length of each side of the g

arden. Round your answer to the nearest tenth of a yard.
1. 8.2 yards
2. 8.1 yards
3. 8.3 yards
4. 8.4 yards

1 answer:

wolverine [178]3 years ago

4 0

Its 2 because 8.1 yards are the nearest 10 yard

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Find four consecutive numbers whose sum equals 218

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Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ <em>first number</em>

X + 1 ⇒ <em>second number</em>

X + 2 ⇒ <em>third number</em>

X + 3 ⇒ <em>fourth number</em>

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

-6 -6 ← <em><u>subtract 6 from both sides of the equation</u></em>

4x = 212

÷4 ÷4 ← <u><em>divide both sides of the equation by 4</em></u>

<u>X = 53</u>

<u />

X ⇒ <em>first number = 53</em>

X + 1 ⇒ <em>second number = 54</em>

X + 2 ⇒ <em>third number = 55</em>

X + 3 ⇒ <em>fourth number = 56</em>

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<em>Therefore, our 4 consecutive numbers are </em><em>53</em><em>, </em><em>54</em><em>, </em><em>55</em><em>, and </em><em>56</em><em>.</em>

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The equation is 200+ 5s=x
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Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

$\mu = 3, \sigma = 0.87$

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

E(X) = np = 4 x 0.75 = 3.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87$

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

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Dmitry [639]

Answer:

2, 6, 8, 11

Step-by-step explanation:

A number multiplied by itself gives a perfect square.

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