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2 years ago

11

In the following diagrams calculate the

1 answer:

alex41 [277]2 years ago

4 0

Answer:

<em>x ≈ 6.5 , y ≈ 12.1</em>

Step-by-step explanation:

(2x)² + (10.2)² = (16.5)²

4x² = 272.25 - 104.04

x² = 168.21 ÷ 4

<em>x</em> = √(42.0525) ≈ <em>6.5</em>

y² = 42.0525 + 104.04 = 146.0925

<em>y</em> = √(146.0925) ≈ <em>12.1</em>

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❄ Hi there,

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Keeping in mind that a right angle is 90°,

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2 years ago

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A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

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Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

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Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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$n = 276, p = 0.06$

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$\mu = E(X) = np = 276*0.06 = 16.56$

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