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son4ous [18]
3 years ago
13

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

y selected​ (with replacement). Find the probability that for one such phone​ number, the last four digits include at least one 0.'
Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

probability at least one zero is 0.3439

Step-by-step explanation:

given data

last four digits = randomly selected​

to find out

probability that for one such phone​ number the last four digits include at least one 0.

solution

we know there are total 10 digit

so we first find probability of non zero digit i.e.

Probability  ( non zero ) = 9 /10 = 0.9

and now we find probability of none of digit zero  only event happen n= 4 time in a row by multiplication rules i.e

Probability ( none zero in 4 digit ) = 0.9^{n}

Probability ( none zero in 4 digit ) = 0.9^{4}

Probability ( none zero in 4 digit ) = 0.6561

so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )  

probability at least one zero = 1 - 0.6561

probability at least one zero is 0.3439

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48/31 in simplest form
Eduardwww [97]

48/31 is already at its simplest form, however you can change it to a mixed fraction which would become 1 17/31

3 0
3 years ago
Read 2 more answers
I marked all 3 parts. I need to know part C (the shaded part). anybody mind helping?​
Mnenie [13.5K]

Answer:

Area of shaded part ABCEF = 66 sq.cm

Step-by-step explanation:

AB = 8cm

CD = 8cm

Let DE = x cm

CE = 3x cm

CD =  CE + DE = 8cm

        x + 3x = 8

4x = 8

x = 8/4 = 2 cm

DE = 2cm

CE = 3 * 2 = 6 cm

Area of triangle ADE = 1/2 * base * height

                                   = 1/2 * DE * AD

                                    = 1/2 * 2 * 11 = 11 sq. cm

Area of triangle AEF = Area of triangle ADE = 11 sq. cm

Area of Rectangle ABCD =  l * b = 8 * 11 = 88 sq.cm

Area of shaded part ABCEF =  Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)

    = 88 - ( 11 + 11 )  = 88 -22 = 66 sq.cm

6 0
3 years ago
Which is the graph of the linear equality 2x-3y<12
WINSTONCH [101]

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

7 0
3 years ago
What is the absolute value of -44
oee [108]

Answer: 44

Step-by-step explanation: they are both 44 away from 0

3 0
3 years ago
Simplify 8(x + 3) - 2x<br><br> 6x + 3<br> 7x<br> 6x + 24
Tema [17]
It would be: 8 (x + 3) - 2x
= 8x + 24 - 2x
= 6x + 24

In short, Your Answer would be 6x + 24

Hope this helps!
6 0
3 years ago
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