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Kipish [7]
3 years ago
14

Figure out the costs of buying the two cars listed below by filling in the blanks in the table

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Make/Model: 
Ford E-Series Wagon Van

<span>MSRP: </span>
$28,760

<span>Cost of options: </span>
$5,560

<span>Sales tax: </span>
$2230.80 (this is based on 6.5% interest)

<span>Total cost: </span>
$36550.80

<span>10% down payment: </span>
$3655.08

<span>Amount needed to borrow: </span>
$32895.72

<span>Monthly payment: </span>
$665.62

<span>Total interest paid: </span>
$4,665.51

Total payments:
<span>60 payments of total $39,937.03</span>

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x^2+4x-4

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A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. 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.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

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

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
3 years ago
Find three ratios equivalent to the given ratio 8/10 5/2
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For 8/10:
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20/8
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3 years ago
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