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Nataly [62]
3 years ago
15

a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0
The width of the laptop is 6 inches long.
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Jim drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?
svlad2 [7]

Answer: 715 Miles


Step-by-step explanation:

Divide 605 miles by 11 hours, which would give you how far he travels in 1 hour. (605/11=55)  Since they give you 13 hours, multiply 13 hours by 55 miles which gets you 715 miles :)

8 0
3 years ago
Use intercepts to graph 3y = -5x -30
disa [49]
The final solution is y=-5/3x-10
3 0
3 years ago
In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until
Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There are 12 bulbs, hence N = 12.
  • 3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

  • Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
  • The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0
2 years ago
Question in the picture
andrezito [222]

Answer:

(20, 16)

Step-by-step explanation:

3 0
3 years ago
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate
spin [16.1K]
A+b > 30

b-a > 10

hope it helps :)
5 0
3 years ago
Read 2 more answers
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