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3 years ago

Find the area of the following figure.

Mathematics

1 answer:

Zigmanuir [339]3 years ago

5 0

Answer:

312

Step-by-step explanation:

Triangles

1/2 12 *10 = 6*10 = 60

there are two triangles meaning we have to multiply 60 by 2 = 120

Rectangle

12*16 = 192

Add the two and you have the area 120+192=312

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Rebecca collected data from a random sample of 1200 homeowners in her state asking whether or not they use electric heat. Based

larisa [96]

Hi,

The answer is c. The sample is biased.

This is because the sample is taken on a single state, an Rebecca reports a statistic about the nation. Her data contains information only of her state. If she lives in a very cold state, there is probably more homeowners using electric heat than in a hot state.

6 0

3 years ago

PLEASE NEED HELP NOW!!!!!!!❤️

alexira [117]

Answer:

A. 2564 cm^2

Step-by-step explanation:

There are two triangles (Which both are the same) and three different rectangles.

1. Let's solve the area of the triangles first!

Formula: bh(1/2)

10(26)(1/2)

130

2. Now, let's multiply by 2 since there's two of them:

130(2) = 260

3. So, we got 260. Let's find the area of the three rectangles!

Formula: bh

Rectangle A: 28(36) = 1008

Rectangle B: 10(36) = 360

Rectangle C: 26(36) = 936

4. Add the area of the triangles and the rectangles!

260 + 1008 + 360 + 936 = 2564

So the surface area is 2564 cm^2

Hope this helps! <3

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3 years ago

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sweet [91]

Ans: A
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3 years ago

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.