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3 years ago

The coordinate grid shows the plot of four equations.

Mathematics

1 answer:

mezya [45]3 years ago

4 0

The solution of 2 equations is the point on the grid where they intersect. The 2 equations which intersect at (-1,5) are A and B

Its the first choice.

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In our class, there are 14 female and 11 male students. a. Pick one student randomly, what is the probability you get a female s

Reika [66]

Answer:

a) 56% probability you get a female student.

b) 30.33% probability that both are female

c) 43.52% probability that you get 2 female and one male

d) 18.26% probability that you get 1 female and 3 male

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in whih the students are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

a. Pick one student randomly, what is the probability you get a female student?

Desired outcomes:

1 female student from a set of 14. So

$D = C_{14,1} = \frac{14!}{1!13!} = 14$

Total outcomes:

1 student from a set of 25. So

$T = C_{25,1} = \frac{25!}{1!24!} = 25$

Probability:

$P = \frac{D}{T} = \frac{14}{25} = 0.56$

56% probability you get a female student.

b. Pick two students randomly, what is the probability that both are female?

Desired outcomes:

2 female students, from a set of 14. So

$D = C_{14,2} = \frac{14!}{2!12!} = 91$

Total outcomes:

2 students from a set of 25. So

$T = C_{25,2} = \frac{25!}{2!23!} = 300$

Probability:

$P = \frac{D}{T} = \frac{91}{300} = 0.3033$

30.33% probability that both are female

c. Pick three students randomly, what is the probability that you get 2 female and one male?

Desired outcomes:

2 female students, from a set of 14, and one male student, from a set of 11. So

$D = C_{14,2}*C_{11,1} = \frac{14!}{2!12!}*\frac{11!}{1!10!} = 1001$

Total outcomes:

3 students from a set of 25. So

$T = C_{25,3} = \frac{25!}{3!22!} = 2300$

Probability:

$P = \frac{D}{T} = \frac{1001}{2300} = 0.4352$

43.52% probability that you get 2 female and one male

d. Pick four students randomly, what is the probability that you get 1 female and 3 male?

Desired outcomes:

1 female student, from a set of 14, and 3 male students, from a set of 11.

$D = C_{14,1}*C_{11,3} = \frac{14!}{1!13!}*\frac{11!}{8!3!} = 2310$

Total outcomes:

4 students from a set of 25. So

$T = C_{25,4} = \frac{25!}{4!21!} = 12650$

Probability:

$P = \frac{D}{T} = \frac{2310}{12650} = 0.1826$

18.26% probability that you get 1 female and 3 male

5 0

3 years ago

What is the slope of the situation?

Marina86 [1]

Answer: 4.2

Step-by-step explanation:

Everytime the x goes up 1, the height goes up 4.2

6 0

3 years ago

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Please help me complete the blanks!!

DaniilM [7]

Step-by-step explanation:

If half of the tuna sandwiches were on white bread then 21 of them would be white, meaning the other half would be on brown bread.

Then if 25% of ham sandwiches were on brown bread then 25% of 32 would be 8, so the final 75% would be on white bread, which would be 24.

Finally, with 20 more white bread sandwiches sold than brown bread it couldn’t be 80 and 20, it would be 40 brown bread in total and 60 white bread in total adding up to 100, as it says white sells 20 more than brown not only 20.

To finish this question you would add up the tuna and ham for white (21+24=45) then minus that from 60 (60-45=15) so there were 15 cheese sandwiches on white bread. And then for brown (21+8=29) then minus that from 40 (40-29=11) so therefore there are 11 cheese sandwiches on brown bread.

Answer:

Brown:

Tuna-21

Cheese-11

Ham-8

Total-40

White:

Tuna-21

Cheese-15

Ham-24

Total-60

Hope that helps!

7 0

4 years ago

Who knows the answer for this question

Vadim26 [7]

Answer: 7

Work: So, the goal is to get z alone, so we are going to add 85 on both sides, cancelling on the side it's currently on. So, the new equation is going to be 25z = 175. Then, to get z even more lonely, we are going to divide 25 on both sides, and again cancelling it on the side it's currently on. So, the answer is z = 7. I hope this helps, and Happy Holidays! :)

8 0

3 years ago

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A florist is creating centerpieces for an upcoming event later this evening. She has already been working for two hours and has

saul85 [17]

120 + 15x greater than or equal to 360

5 0

3 years ago

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