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Sloan [31]
3 years ago
12

Max wants to buy a

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Max will pay $96.93 in total for the DVD player.

<u>Step-by-step explanation:</u>

The cost of the new DVD player is $89.75

The sales tax that max wants to pay in order to buy that new DVD player was 8% of the cost of the DVD player.

Now, to find the amount he needs to pay for the sales tax, 8% of the cost of DVD player must be calculated by the percentage formula.

Let us take 'x' as the sales tax amount.

Therefore, the equation is x = 8% of 89.75

⇒ x = (8/100)\times 89.75

⇒ x = 0.08 \times 89.75

⇒ x = 7.18

The money he needs to pay for sales tax is $7.18

<u>To find the total money Max will pay for the DVD player :</u>

⇒ Total cost = cost of DVD + Sales tax

⇒ 89.75 + 7.18

⇒ 96.93 dollars.

Max will pay $96.93 in total for the DVD player.

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5 0
4 years ago
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only four women among the last
Afina-wow [57]

Answer:

P(at most four) = 0.00960541

Step-by-step explanation:

For each employee hired, there are only two possible outcomes. Either it is a women, or it is not. The probability of an employee being a women is independent of any other employee, which means that the binomial probability distribution is used 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.

19 new employees.

This means that n = 19

Approximately equal number of qualified men as qualified women.

This means that p = 0.5

Probability of getting four or fewer women when 19 people are hired

This is:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

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

P(X = 0) = C_{19,0}.(0.5)^{0}.(0.5)^{19} = 0.00000191

P(X = 1) = C_{19,1}.(0.5)^{1}.(0.5)^{18} = 0.00003624

P(X = 2) = C_{19,2}.(0.5)^{2}.(0.5)^{17} = 0.00032616

P(X = 3) = C_{19,3}.(0.5)^{3}.(0.5)^{16} = 0.00184822

P(X = 4) = C_{19,4}.(0.5)^{4}.(0.5)^{15} = 0.00739288

Then

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.00000191 + 0.00003624 + 0.00032616 + 0.00184822 + 0.00739288 = 0.00960541

So

P(at most four) = 0.00960541

5 0
3 years ago
Diana received 300 votes in the election for student council president. That was 60% of the students who voted in the election.
Helen [10]

Answer:

500 students.

Step-by-step explanation:

300 votes is 60%.

100%-60% is 40%

so 40% voted for the other person.

Work backwards:

x * 0.6=300

0.6x=300

x=300/0.6 which is 500.

500*0.4 is 200.

300+200 is 500.

Hope this helps :) I am terribly sorry if it is wrong or not using the number line.

7 0
3 years ago
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