Anyone know this answer I will give you 28 point.

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

This helicopter has a rotor that moves at a rate of 600 spins per minute while flying. Which statement is supported by this info

jeka57 [31]

Answer: d. The helicopter rotor will spin 36,000 times in 1 hour

Step-by-step explanation:

Option A is wrong because in 40 minutes the rotor will spin:

= 40 * 600

= 24,000 times

Option B is wrong because we cannot know the number of times the rotor will spin before being lifted off of the ground with the details given.

Option C is wrong because in 3 hours the rotor will spin:

= 600 * 3 * 60 minutes

= 108,000 times

Option D is correct because in 1 hour the rotor will spin:

= 600 * 1 * 60 mins

= 36,000 times

5 0

3 years ago

Find x and y pls help

ahrayia [7]

Answer:

x = 14

Step-by-step explanation:

110 + 5x = 180

-110 -110

5x = 70

divide by 5 on both sides

x = 14

to find y add 70 + 40 + missing angle = 2y

missing angle is 70 because 70+40+70 = 180

so 2y = 110

y = 55

3 0

2 years ago

Read 2 more answers

Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a

Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

Explanation

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax $=(200000*0.30)dollar=60000$ dollar.

Remaining amount = $ 200000 - $ 60000 = $ 140000

Suppose, she invested $x$ dollar at 1.5% rate.

That means, she invested $(140000-x)$ dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

$0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000$

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000

5 0

3 years ago

Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000$ per

Minchanka [31]

Answer:

This statement makes sense because this would mean that a slice of pizza and a soda costs him about $49 a day

Step-by-step explanation:

Given

The total spent on a slice of pizza and a soda is:

$Cost > \$18000$ per year

Required

Which of the options is true:

First, we calculate the daily amount spent on a slice of pizza and a soda.

Assume that the yearly cost is: $18000

The daily cost is:

$Daily = \frac{\$18000}{365}$

$Daily = \$49.32$

This means that he spends about $49 daily

5 0

3 years ago