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3 years ago

Find the area of the trapezoid.

Mathematics

1 answer:

deff fn [24]3 years ago

3 0

Area of a trapezoid = height*(top+bottom)/2
Area of trapezoid = 12.6 * (18.3+28.5)/2 = 294.84 ft^2

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JulijaS [17]

Answer:

Its C im pretty sure. Also loveee your pfp!

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3 years ago

5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ

mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

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

p = population proportion = 48%

n = sample of voters = 500

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.

So, probability that the sample proportion will be greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }$ ) = P(Z < 0.89) = 0.8133

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 = 0.89 in the z table which has an area of 0.8133.

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

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3 years ago

Part 1

natali 33 [55]

Because December is really cold

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3 years ago

Find the value of each variable in each parallelogram. T

Pepsi [2]

A Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a Parallelogram are of same length and opposite angles are same.

Step-by-step explanation:

Properties of a Parallelogram

Both Pairs of Opposite sides are Parallel
Both Pairs of Opposite sides are Congruent
Both Pairs of Opposite angles are Congruent
Consecutive angles are supplementary
Daigonals bisect each other.

8 0

4 years ago

Question 3

Crank

Step-by-step explanation:

Given that,

The mass of a patient = 70 kg

A 70kg patient has approximately 8 pints of blood.

The patient donates 470mL of blood.

We know that,

1 pint = 568 mL

8 pints = 4544 mL

Required fraction,

$\dfrac{470}{4544}=0.1\\\\=\dfrac{1}{10}$

So, the required fraction is approximately $\dfrac{1}{10}$ .

4 0

3 years ago