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son4ous [18]
3 years ago
10

What's the area of the entire shape?

Mathematics
1 answer:
Svetach [21]3 years ago
7 0

Answer:

30

Step-by-step explanation:

you need to multiply its length by its with

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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
Use the graph to estimate the height of a jugglers ball that has been in the air for 1.5 seconds
strojnjashka [21]

Answer:

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

Step-by-step explanation:

we are given height equation as

h=-16t^2+25t+5

where

h is the height in feet of a Juggler's ball after t seconds

now, we can plug t=1.5

h=-16(1.5)^2+25(1.5)+5

we can solve for h

h=42.5-16\cdot \:1.5^2

h=42.5-36

h=6.5

So,

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

5 0
3 years ago
Lakima has a spinner divided into 5 equal sections that are labeled 1 though 5. She wants to compare the theoretical probability
Scrat [10]

Using probability concepts, it is found that:

  • The theoretical probability of spinning an odd number is equal to 3/5 = 0.6.
  • The experimental probability of spinning an odd number is equal to 1/2 = 0.5.
  • Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

A theoretical probability is calculated without considering experiments, and we have that 3 out of the 5 numbers(1,3,5) and are odd, hence the theoretical probability is given by:

pT = 3/5 = 0.6.

For an experimental probability, we consider the experiments. Of the 6 spins, 3 resulted in an odd number, hence the experimental probability is given by:

p = 3/6 = 1/2 = 0.5.

Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

3 0
2 years ago
My daughter had a quiz today and the 3 questions did not make sense to me. Can anyone decifer how you would solve for the variab
mixas84 [53]

Answer:

1 71years

Step-by-step explanation:

x+10=81

x=71

2. x+8=49

x=41

3. x+11=100

x=99

3 0
3 years ago
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi
Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0
2 years ago
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