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3 years ago

Consumer Math

Mathematics

1 answer:

liraira [26]3 years ago

5 0

Answer:

Correct answer is B.

Step-by-step explanation:

Amount deducted for social security = 6.2 % annually

Amount deducted for medicare tax = 1.45 % annually

Total deduction = 6.2 +1 .45 = 7.65 %

Tax on given amount = 7.65 * 37890 = 2898.59

Therefore amount deducted annually will be $2898.59/-

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A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

2 years ago

A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an

leva [86]

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

$A=P(1+\frac{r}{n} )^{nt}$

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

$A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20$

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: brainly.com/question/7014337

Keywords: inherit, sum, money, interest

#LearnwithBrainly

3 0

3 years ago

Students in health class are tracking how much water they consume each day. Evelyn has two reusable water bottles: a small one a

Ludmilka [50]

Answer:

424 grams for the small one and 510 grams for the big one.

Step-by-step explanation:

Nice profile picture.

8 0

2 years ago

What is the value of x?

Nonamiya [84]

X = 30 degrees.

See the attached image

7 0

3 years ago

A cone has a height of 4, diameter of 6, and a slant length of 5. What is the volume of the cone

Kisachek [45]

Answer:

the answer is 37.68

Step-by-step explanation:

4 0

3 years ago