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user100 [1]
3 years ago
10

A catalog company that receives the majority of its orders by telephone conducted a study to determine how long customers were w

illing to wait on hold before ordering a product. The length of time was found to be a random variable best approximated by an exponential distribution with a mean equal to 2.8 minutes. What is the probability that a randomly selected caller is placed on hold fewer than 7 minutes?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

0.917915

Step-by-step explanation:

Exponential distribution is expressed as it follows

F (y,λ) = 1 – e ^(- λ(y) )

Where λ is equal to 1/ population mean

So λ = 1/2.8 = 0.357

Let y be the length of time a costumer wait on hold

Now, let´s find the value for y = 7 minutes, which is the proportion of costumer that wait on hold

P (y<7) = 1 – e^(- .357*(7) )

P (y<7) = 0.917915

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Salama makes fruit baskets with oranges and bananas.
vovangra [49]

<em><u>The ratio for problem is:</u></em>

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

<em><u>Solution:</u></em>

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits,  so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0
3 years ago
Plz help this is timed
LiRa [457]

Answer:

y= 3/2× (-1/2) x=0

Step-by-step explanation:

multiply the equation by both sides by 4/3 and nd then you get 0=x then you swap the sides of the equation x=0 nd your answer is x=0

7 0
3 years ago
Which numbers are "rational" and which numbers are "irrational"?
taurus [48]

the 3rd one. hope this helps

7 0
2 years ago
Read 2 more answers
What is the value of this expression?<br> 5x (8 – 3) + 2
ivolga24 [154]

Answer:

27

Step-by-step explanation:

5 x (8 - 3) +2

5 x (5) + 2

25 + 2

27

Hope that helps!

4 0
3 years ago
Read 2 more answers
I need help please hurry.
Anarel [89]

Answer:the answer is the first

Step-by-step explanation:

Because the expression can be written as -10r2/2r2+4+5r/2r2+4+3/2r2+4

8 0
3 years ago
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