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Tomtit [17]
3 years ago
8

Nine qualified applicants apply for a part-time job. If the manager randomly hires 3 of them, what is the probability that he hi

res the 3 oldest?
Mathematics
2 answers:
anastassius [24]3 years ago
5 0
1/3*1/4*1/7= 1/84
It is 9c3
AnnyKZ [126]3 years ago
5 0
There are 3!  = 6 ways he can pick the 3 oldest people
Total number of permutations  of any 3 from 9 = 9P3 =  9*8*7 = 504

so required probability = 6 / 504 = 1/84
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What is the answer to this question? Please help and make it quick!
KonstantinChe [14]

Answer:

i believe it would be the las one im pretty sure but not 100% so hope it works and let me know if im right or not but again hope this helps

step-by-step explanation:

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3 years ago
Write the word form and the expanded form for each <br><br> 1.7 &amp; 5.62
Mrac [35]
1.7 = <span>One and seven tenths
5.62 = </span><span>Five and sixty-two hundredths</span>
6 0
3 years ago
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PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy
laiz [17]

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

<h3>What is odds against?</h3>

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

\text{odd against}=\dfrac{P(\overline A)}{P(A)}

Here, P(\overline A) is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}

The probability of not winning is,

P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}

Thus, the odd against the winning is,

\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

Learn more about the odds against here;

brainly.com/question/1870238

#SPJ1

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2 years ago
Find the greatest common factor of 24 and 45.
Anit [1.1K]
3.

3x15=45
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5 0
2 years ago
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Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo
svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

PV = P \begin {bmatrix}  \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}}    \end {bmatrix}

128000 = P \begin {bmatrix}  \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}}    \end {bmatrix}

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

PV= 921.433 \begin {bmatrix}  \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}}    \end {bmatrix}

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

121718.2714 =  \begin {bmatrix}  \dfrac{1300  (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}}    \end {bmatrix}

121718.2714 = 200000  \begin {bmatrix}  (1 - \dfrac{12.078}{12}))^{-nt}   \end {bmatrix}

\dfrac{121718.2714}{200000 } =  \begin {bmatrix}  (1 - \dfrac{12.078}{12}))^{-nt}   \end {bmatrix}

0.60859 =  \begin {bmatrix}  (1 - \dfrac{12}{12.078}))^{nt}   \end {bmatrix}

0.60859 = (0.006458)^{nt}

nt = \dfrac{0.60859}{0.006458}

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

6 0
3 years ago
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