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3 years ago

15

The table shows data from Vicente's Form 1040. Gross income $75,000 Standard deduction $12,000 Taxable income $63,000 Total inco

me tax due $9714.50 Amount withheld by employer $9800 Which statement correctly explains whether Vicente will receive a refund?

1 answer:

Iteru [2.4K]3 years ago

7 1

The answer is a+b+c = d it’s is equivalent to a and d

2 years ago

what?

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An object moves in simple harmonic motion with period 8 seconds and amplitude 6cm. At time = t 0 seconds, its displacement d fro

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2 years ago

Substitute 10 for z in z -5 < 7

EleoNora [17]

Then it would be 10-5 < 7
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Multiply and simplify the following expression -4√15 x(-√3)

larisa [96]

Answer:

$\large\boxed{12\sqrt5}$

Step-by-step explanation:

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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 <em>E</em> 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 <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 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 <em>X</em> = 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 <em>X</em> = 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 <em>X</em> 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 <em>X</em> the Poisson probability is approximately equal to the empirical probability.

5 0

3 years ago

A rhombus has a base of 5.2 meters and a height of 4.5 meters. The rhombus is divided into two identical triangles. What is the

Lisa [10]

Answer:

11.7 m²

Step-by-step explanation:

What is the area of each triangle ?

A = b×h/2

= 5.2m×4.5m/2

= 23.4m²/2

= 11.7 m²

3 0

3 years ago