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Elden [556K]
3 years ago
10

The daily number in the State Lottery is a three-digit nuber from 000 to 999. To win in "straight play", a ticket must have the

exact number. To win in a "box play" , a ticket can have the three digit of the daily number in any order. Find the probabilty of winning in :
a) Straight play

b) Box play
Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

a. P = \frac{1}{1000}

b. P = \frac{3}{500}

Step-by-step explanation:

To win the 'straight play' a ticket must have the exact number. Given that there are 1000 numbers between 000 and 999. The probability of winning in striaght play is:

P = \frac{1}{1000}

To win in a box play, a ticket can have the three digit in daily order.

Given three numbers A, B and C. There are 6 ways to arrange the numbers:

ABC, ACB,  BAC, BCA,  CAB, CBA.

Therefore the probability is: P = \frac{3}{500}

You might be interested in
Use the compound interest formulas A=P1+
Bingel [31]

The accumulated value of an investment if the money is a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is $30731.4 $ , $30785.98  $30823.14 , 30841.95

<h3>What is Interest ?</h3>

Interest is the amount received by a person as a result of investing certain amount of money for a certain period of time.

It is given that

Principal = $ 25000

Time = 3 years

Interest Rate = 7 %

The amount is given by

\rm A = P( 1+ \dfrac{r}{n}) ^{nt}

Compounded semiannually

n = 2

Compounded Quarterly

n = 4

Compounded Monthly

n =12

Compounded Continuously

P = P₀ \rm e ^{rt}

Therefore the accumulated value for

compounded Semiannually is

\rm A = 25000( 1+ \dfrac{7}{200}) ^{2*3}

A = $30731.4

Compounded Quarterly

\rm A = 25000( 1+ \dfrac{7}{400}) ^{4*3}

A = $30785.98

Compounded Monthly

\rm A = 25000( 1+ \dfrac{7}{1200}) ^{12*3}

A = $30823.14

Compounded Continuously

\rm P = 25000 e ^{ 7 * 3 }

P = $30841.95

Therefore the accumulated value of an investment if the money is

a. compounded​ semiannually; b. compounded​ quarterly; c. compounded​ monthly; d. compounded continuously is

$30731.4 $ , $30785.98  $30823.14 , 30841.95

To know more about Interest

brainly.com/question/13324776

#SPJ1

5 0
2 years ago
Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025?
nekit [7.7K]

The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month, so the correct option is A.

<h2><u>How to determine the amount using the standard 28/36 guides?</u></h2>

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025, the following calculation must be made:

  • ((73025 x 36) / 100) / 12 = X
  • (2,628,900 / 100) / 12 = X
  • 26,289 / 12 = X
  • 2,190.75 = X

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

Learn more about mortgages in brainly.com/question/20589209

4 0
3 years ago
4÷25times4÷100times4÷4
notsponge [240]

Answer:

0.0064 is your answer

Step-by-step explanation:

because 4÷25 = 0.16 and 4÷100=0.04 and of course 4÷4=1

When the 0.16 and 0.04 that gets 0.0064

3 0
3 years ago
Pls help meeeee and thank you so so so much
Oksana_A [137]

Answer: 1/3 x + -1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
3 years ago
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