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riadik2000 [5.3K]
3 years ago
13

Find the acute angle between the lines. x+2y=7 and 5x-y=2

Mathematics
1 answer:
xenn [34]3 years ago
7 0
I think its 7x +5y=3
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A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents
kicyunya [14]

Answer:

                          Hamburger       Chicken

Adults                    65                        60         125

children                 55                        20          75

                             120                        80         200

a)What is the probability that a randomly selected individual is an adult?

Total no. of adults = 125

Total no. of people  200

The probability that a randomly selected individual is an adult = \frac{125}{200}=0.625

b) What is the probability that a randomly selected individual is a child and prefers chicken?

No. of child prefers chicken = 20

The probability that a randomly selected individual is a child and prefers chicken= \frac{20}{200}=0.1

c)Given the person is a child, what is the probability that this child prefers a hamburger?

No. of children prefer hamburger = 55

No. of child = 75

The probability that this child prefers a hamburger= \frac{35}{75}=0.46

d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

No. of adults prefer chicken = 60

No. of total people like chicken = 80

A person has ordered chicken, the probability that this individual is an adult= \frac{60}{80}=0.75

3 0
3 years ago
What’s the area of a circle with a diameter of 4
umka21 [38]

Answer:

4\pi ≈ 12.57 units squared

Step-by-step explanation:

The area of a circle is denoted by: A=\pi r^{2}, where r is the radius.

Remember that diameter is twice the radius, so since the diameter equals 4, we know that the radius r = 4/2 = 2.

Now, plug this in: A=\pi *2^2=4\pi

We can round 4pi to 12.57 units squared.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
wolverine [178]

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them

8 0
2 years ago
evelyn drinks 8 glasses of water a day,which is56 glasses a week. How many glasses of water does she drink
vlada-n [284]
1 year=52 weeks

So just multiply it by 56

52*56= 2912 glasses per year
6 0
3 years ago
I NEED HELP PLSSSSSSSSSSS
AfilCa [17]

Answer:

C

Step-by-step explanation:

7 0
3 years ago
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