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irina [24]
3 years ago
11

Proving Theorems about Lines Transversal t cuts parallel lines r and s.

Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0
The answer is angle 3,6,7 so it is A
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On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
McDonalds sells quarter-pound cheeseburgers for .99 cents last saturday.they sold 310 of these cheeseburgers. how many pounds of
Anvisha [2.4K]
The first thing you should do is calculate how many pounds of cheese a hamburger has
 1 hamburger = 1/4 pound of cheese.
 Then, you can make a rule of three to know how many pounds of cheese were sold:
 1 ---> 1/4
 310 ---> x
 Clearing x we have:
 x = ((310) / (1)) * (1/4) = 77.5
 Answer
 they sell last saturday 77.5 pounds of cheese
4 0
3 years ago
(-3x +11x-1)+(7x2 - 4x+4)
Bumek [7]

Step-by-step explanation:

-3x + 11x - 1 + 7x2 - 4x + 4

Solving like terms

7x2 + 4x + 3

4 0
3 years ago
Read 2 more answers
If m(x) = 2x - 5 and n(x) = 2x + 5, what is n(m(3))?
Rus_ich [418]

9514 1404 393

Answer:

  n(m(3)) = 7

Step-by-step explanation:

n(m(3)) = n(2·3 -5) = n(1) = 2·1 +5

n(m(3)) = 7

3 0
3 years ago
What value of x makes this equation true?
natali 33 [55]

Answer:

-1.8 =x

Step-by-step explanation:

12(x+3)=-8x

Distribute

12x +36 = -8x

Subtract 12x from each side

12x-12x +36 = -8x-12x

36 = -20x

Divide each side by -20

36/-20 = -20x/-20

-9/5 = x

Changing to decimal form

-1.8 =x

4 0
3 years ago
Read 2 more answers
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