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Anestetic [448]
3 years ago
15

For a certain instant lottery game, the odds in favor of a win are given as 71 to 29. Express the indicated degree of likelihood

as a probability value between 0 and 1 inclusive
Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

0.4085

Step-by-step explanation:

Probability is the extent to which an event is likely to happen.It can be written as a ratio of the case in favor to the whole number of the cases possible.Probability of an event is between 0 and 1. 0 represent 0% chance and 1 represent 100% chance.

Given in question that the odds in favor of win are 71 to 29 this can be written as;

=29/71

=0.4085

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charle [14.2K]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
What is the value of x in the expression, x 2 = 9? Type the NUMBER in the box below.
alekssr [168]
The value of x in the expression, x 2 = 9 is 4.5

9 divided by 2 = 4.5
7 0
2 years ago
Fifty three less than twuce a number is 31 what is the number​
BartSMP [9]

Answer:

42

Step-by-step explanation:

So if the result of it is 31,

And it is 53 less you would add back 53

53 + 31 = 84

And it is twice a number so you divide by 2 (opposite of twice a number)

84/2 = 42

5 0
3 years ago
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
Semenov [28]

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

8 0
2 years ago
Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h
Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}

P is the loan amount.

Where interest rate r is given by

r = \frac{APR}{12}

Total number of payments n are given by

n = 30\times12 = 360

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%

and the corresponding interest rate r is

r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458

Finally, the monthly payment is

MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361

Monthly payment without points:

Interest rate r is,

r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667

Monthly payment is,

MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0
3 years ago
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