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Dmitrij [34]
3 years ago
7

The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop

machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the computers are numbered 1, 2, ..., 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on).
a. What is the probability that both selected setups are for laptop computers?
b. What is the probability that both selected setups are desktop machines?
c. What is the probability that at least one selected setup is for a desktop computer?
d. What is the probability that at least one computer of each type is chosen for setup?
Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 95 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed? Explain your answer.

Step-by-step explanation:

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 95 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed? Explain your answer.

a. What is the probability that both selected setups are for laptop computers?

b. What is the probability that both selected setups are desktop machines?

c. What is the probability that at least one selected setup is for a desktop computer?

d. What is the probability that at least one computer of each type is chosen for setup?

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SHOW STEPS PLEASE!!!
Sholpan [36]
Tanθ + cotθ = 1/sinθcos<span>θ

since we know that;

tan</span>θ = sinθ/cos<span>θ, and

cot</span>θ = cosθ/sin<span>θ

now when we add tan</span>θ and cot<span>θ and replace their values;

tan</span>θ + cot<span>θ=sin</span>θ/cosθ + cosθ/sin<span>θ

</span>For a common denominator to add those two fractions, the obvious choice is sinθ.cosθ , so

tanθ + cotθ = sin²θ/sinθcosθ + cos²θ/sinθcosθ =sin²θ + cos²θ / sinθcosθ

now we can use the identity that;

sin²θ + cos²θ = 1

So,

tanθ + cotθ = 1/sinθcosθ

6 0
3 years ago
Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans. How many acres of each crop should the farmer p
Natalija [7]

Answer:

40x+32y\leq 5,000\\x\geq 0, y\geq 0

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

  • Seed Cost for x acre of corn = $40x
  • Seed Cost for y acre of soybeans = $32y

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

40x+32y\leq 5,000\\x\geq 0, y\geq 0

Next, we graph the inequality

When$ x=0, y\leq156.25\\When$ y=0, x \leq 125

The graph is attached below.

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3 years ago
Please help me answer
fenix001 [56]

Answer:

the answer is 7 it always is.

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2 years ago
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murzikaleks [220]

Answer:

Step-by-step explanation:

x     y = 4^x    (x, y)

-2    1/16         (-2, 1/16)

-1    1/4           (-1, 1/4)

0      1              (0, 1)

1      4                1, 4

3      64             3, 64

5    1024           (5, 1024)

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2 years ago
What is the equation of the line that passes through the point (-5, 7)<br> and has a slope of –1/5?
Snowcat [4.5K]
The equation is y = -1/5x + 6
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