Transactions to a computer database are either new items or changes to previous items. The addition of an item can be completed less than 100 milliseconds 81% of the time, but only 20% of changes to a previous item can be completed in less than this time. If 30% of transactions are changes, what is the probability that a transaction can be completed in less than 100 milliseconds? Round your answer to two decimal places (e.g. 98.76).

Answers

Answer 1
Answer:

Answer:

There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.

Step-by-step explanation:

This a probability problem.

We have the following probabilities:

-70% probability that a transaction is an addition of an item.

-30% probability that a transaction is a change to an item

-81% probability that an addition can be completed in less than 100 milliseconds

-20% probability that change can be completed in less than 100 milliseconds

The probability P that a transaction can be completed in less than 100 milliseconds is:

P = P_(1) + P_(2)

In which P_(1) is the probability that the transaction is an addition and it takes less than 100 milliseconds. So

P_(1) = 0.7*0.81 = 0.567

P_(2) is the probability that the transaction is a change and it takes less than 100 milliseconds. So

P_(2) = 0.2*0.3 = 0.06

So

P = P_(1) + P_(2) = 0.567 + 0.06 = 0.627

There is a 62.7% probability that a transaction can be completed in less than 100 milliseconds.


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The width of a rectangle is 10 feet shorter than its length. The area of the rectangle is 60 square feet. Find the length and width. Round your answer to the nearest tenth of a foot.

Answers

Answer:

  length: 14.2 ft; width 4.2 ft.

Step-by-step explanation:

Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...

  area = length×width

  60 = x(x -10) . . . . . substitute the expressions for area, length, width

  60 = x² -10x

  85 = x² -10x +25 . . . . add (10/2)² to complete the square

  85 = (x -5)² . . . . . . . . . rewrite as a square

  √85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem

  x = 5 + √85 ≈ 14.2

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The length and width of the rectangle are 14.2 ft and 4.2 ft.

Apply the Distributive Property 5(x + 3)

Answers

Answer: 5x + 15

Step-by-step explanation: The distributive property tells us that if we're given an expression such as 5(x + 3), we can multiply the 5 by both the x and the 3 to get 5x + 15.

Answer:

5x+15

Step-by-step explanation:

5*x+5*3

MAFS.5.NF.2.5b4. Valeria is going to the grocery store to buy turkey
and ham to use for sandwiches this week. She buys
4
2
as much ham as turkey. Which of
7
3
the following statements is true?
1 turkey and 12 /
A. She is buying more turkey than ham.
B. She is buying the same amount of turkey and ham.
C. She is buying twice as much turkey as ham.
D. She is buying less turkey than ham.
Cuál es la repuesta? Hola

Answers

Answer:

Step-by-step explanation:

See attachment.

Lillian earns $44 in 4 hours. At this rate, how many dollars will she earnin 30 hours?
1 of 38 QUESTIONS
$440
$300
O $330
$110
SUBMIT

Answers

Answer:

(44/4)*30 = $330

Step-by-step explanation:

divide by four and multiply by 30

A lion runs at a speed of 50 mph and a cheetah runs 78 mph. If they both run at a steady rate, how far will a cheetah run in the time it takes a lion to run 13.75 miles?

Answers

Answer:

21.45 miles

Step-by-step explanation:

Key:

t=time

d=distance

We need to find the time the lion ran first.

The time the lion ran:

13.75=50•t

13.75=50t

-50t=-13.75

t=-13.75•-1/50

t = 0.275

So the lion ran in 13.75 miles in 0.275 of an hour.

Now, we need to figure out the cheetah.

0.275•78=21.45 miles

I hope this helps :-)

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Answers

Answer:

5

Step-by-step explanation:

  • Subtract the high temp from the low temp
  • 2 - ( -3) = 2 + 3 = 5