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svet-max [94.6K]
3 years ago
9

A card is picked a random from the following set:

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

25%

Step-by-step explanation:

There are 4 cards. Each one is a different number.

Only one card is a 9.

p(9) = 1/4 = 0.25 = 25%

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Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordl
Karo-lina-s [1.5K]

Full Question

Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced.

What is the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced?

What is the probability that two phones of each type are among the first six serviced?

Answer:

a. 0.149

b. 0.182

Step-by-step explanation:

Given

Number of telephone= 18

Number of cellular= 6

Number of cordless = 6

Number of corded = 6

a.

There are 18C6 ways of choosing 6 phones

18C6 = 18564

From the Question, there are 3 types of telephone (cordless, Corded and cellular)

There are 3C2 ways of choosing 2 out of 3 types of television

3C2 = 3

There are 12C6 ways of choosing last 6 phones from just 2 types (2 types = 6 + 6 = 12)

12C6 = 924

There are 2 * 6C6 * 6C0 ways of choosing none from any of these two types of phones

2 * 6C6 * 6C0 = 2 * 1 * 1 = 2.

So, the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced is

3 * (924 - 2) / 18564

= 3 * 922/18564

= 2766/18564

= 0.149

b)

There are 6C2 * 6C2 * 6C2 ways of choosing 2 cellular, 2 cordless, 2 corded phones

= (6C2)³

= 3375

So, the probability that two phones of each type are among the first six serviced is

= 3375/18564

= 0.182

5 0
3 years ago
-4 (r + 2) = 4 (2 - 2r)
Nady [450]

Answer:

r=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(r+2)=4(2−2r)

Step 1: Simplify both sides of the equation.

−4(r+2)=4(2−2r)

(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)

−4r+−8=8+−8r

−4r−8=−8r+8

Step 2: Add 8r to both sides.

−4r−8+8r=−8r+8+8r

4r−8=8

Step 3: Add 8 to both sides.

4r−8+8=8+8

4r=16

Step 4: Divide both sides by 4.

4r

4

=

16

4

r=4

Answer:

r=4

3 0
2 years ago
Score: 0 of 1 pt
cupoosta [38]

Answer:

70

Step-by-step explanation:

21/.3

5 0
3 years ago
A bird flies 50km everyday to collect food for his offspring and 20km to drink water. To fly this distance takes him 1 hour and
dem82 [27]

Answer:

42km/h

Step-by-step explanation:

70km=100 minutes

7km= 10min

42km=60min

42km/h

7 0
1 year ago
A Florida factory produces fishing reels at a rate of 800 per day, every day. In April, they are forced to cut their production
rewona [7]
<span>First find 15% of 800 and subtract that from 800 ( 800-(.15*800)) which equals 680 and multiply the 680 by the 30 days of April. You will get 20400</span>
3 0
3 years ago
Read 2 more answers
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