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2 years ago

Please please help me

Mathematics

1 answer:

max2010maxim [7]2 years ago

5 0

Answer:

(1) 102.55 in

(2) 316.69 in²

Step-by-step explanation:

Applying (1)

a² = b²+c².............. Equation 1

Given: a = 25 in, b = 20 in,

25² = 20²+b²

b² = 25²-20²

b² = 225

b = √225

b = 15 in

b = diameter of the semicircle

The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in

Therefore,

P = 37+25+17+23.55 = 102.55 in

(2) Applying,

A = Area of the tripezium- area of the semi circle

A = [h(a+b)/2]-πh²/8.............. Equation 2

Given; h = 15 in, a = 17 in, b = 37 in

A = (15(17+37)/2)-(3.14×15²/8)

A = 405-88.31

A = 316.69 in²

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3 years ago

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Substitute.
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3 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

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Answer:

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Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

Let $\hat p$ = sample proportion

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

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n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

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Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

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A(0,0)

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