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EastWind [94]
3 years ago
8

Triangle ABC is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.

Mathematics
1 answer:
Aleksandr [31]3 years ago
6 0

Answer:

m=-4/3

Step-by-step explanation:

Rise/run

it goes up -4 units and over 3

-4/3

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The money remaining from the $150 is 37.5% of the cost of the day trip to cairo
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The cost of the trip was $56.25
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Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used 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.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

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

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
Bob and Joe start from the same point and walk in opposite directions. Bob walks 2 km/h faster than Joe. After 3 hours, they are
valkas [14]

Answer:

Bob = 6km/h, Joe = 4km/h

Step-by-step explanation:

Bob walked 6km/h after 3 hours = 18 km
Joe walked 4km/h after 3 hours = 12 km

Finally, their distance is 30 km.

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2 years ago
I WILL MARK BRAINIEST IF CORRECT!
Lunna [17]

Answer:

I believe I would be the last one D

8 0
3 years ago
Read 2 more answers
During a promotional weekend a state fair gives a free admission to every 175th Person who enters the fair on Saturday there wer
emmasim [6.3K]

Answer:

69

Step-by-step explanation:

If every 175th person gets free admission, that means

175th

175 * 2 = 350th

175 * 3 = 525th

person gets free admission and so on...

This basically means <em><u>"how many 175s are there is 6742 (for first day) and 5487 (for 2nd day)?"</u></em>

<em><u /></em>

We would need to divide and see the WHOLE number, not the fractional(decimal) amount remaining. So

<u>1st Day:</u>

6742/175 = 38.53

This means 38 people will get free admission

<u>2nd Day:</u>

5487/175 = 31.35

This means 31 people will get free admission

In the 2 days, total of 38 + 31 = 69 people will get free admission

8 0
3 years ago
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