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ra1l [238]
2 years ago
8

15. Ms. Mason is a kindergarten teacher whose gross income last year was $34,200. She made a $2000 contribution to an IRA. If sh

e takes a standard deduction of $5700, claims only herself as an exemption for $3650, and she makes no further adjustment to her income, find the amount of taxes she has to pay.
Mathematics
2 answers:
Savatey [412]2 years ago
7 0

Answer:28350?

Step-by-step explanation:

skad [1K]2 years ago
5 0

Answer:

$3,010.00

Step-by-step explanation:

APEX

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How can you check your work when you are finding arc measures?
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After you measured it you can check if the measurement is correct by knowing radius and arc length using formula,

\alpha=\dfrac{l}{r}.

Hope this helps.

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Determine the general form of the equation for the circle x^2 + (y+1)^2=2
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2 years ago
Consider the probability that at least 88 out of 158 software users will not call technical support. Assume the probability that
Nookie1986 [14]

Answer:

E(X) = 158*0.57 =90.06

And the standard deviation for the random variable is given by:

\sigma= \sqrt{158*0.57*(1-0.57)} = 6.223

And the distribution for the approximation is given by:

X \sim N (\mu = 90.06, \sigma = 6.223)

We can use the z score formula given by:

z = \frac{x -\mu}{\sigma}

And using the complement rule we got:

P(X \geq 88) = 1-P(X

And using the standard normal table we got:

P(X \geq 88) = 1-P(X

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest, on this case we now that:  

X \sim Bin (n = 158, p =0.57)

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want this probability:

P(X\geq 88)

Normal approximation

We need to check if we can use the normal approximation , the conditions are:

np =158*0.57 = 90.06>10

n(1-p) = 158*(1-0.57) = 67.94>10

Since we satisfy both conditions the normal approximation makes sense

The expected value is given by this formula:

E(X) = 158*0.57 =90.06

And the standard deviation for the random variable is given by:

\sigma= \sqrt{158*0.57*(1-0.57)} = 6.223

And the distribution for the approximation is given by:

X \sim N (\mu = 90.06, \sigma = 6.223)

We can use the z score formula given by:

z = \frac{x -\mu}{\sigma}

And using the complement rule we got:

P(X \geq 88) = 1-P(X

And using the standard normal table we got:

P(X \geq 88) = 1-P(X

4 0
2 years ago
In coastal regions, some animals live above sea level and other animals live in the
Nesterboy [21]

Answer: Echinoderms are radially symmetrical animals that are only found in the sea (there are none on land or in fresh water). Echinoderms mean "spiny skin" in Greek. Many, but not all, echinoderms have spiny skin. There are over 6,000 species. Echinoderms usually have five appendages (arms or rays), but there are some exceptions.

Radial symmetry means that the body is a hub, like a bicycle wheel, and tentacles are spokes coming out of it (think of a starfish). As larvae, echinoderms are bilaterally symmetrical. As they mature, they become radially symmetrical.

Step-by-step explanation:

7 0
2 years ago
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