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Anna71 [15]
4 years ago
8

A line passes through the points (-1, 4) and (2, -2). What is the equation of this line?

Mathematics
1 answer:
Deffense [45]4 years ago
4 0

Y=2x-2
I have done this in my head on the spot so I would test it on a graph .
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A bag contains eleven equally sized marbles, which are numbered. Two marbles are chosen at random and replaced after each select
Digiron [165]

Answer:

B. \frac{24}{121}.

Step-by-step explanation:

Total number of marbles = 11.

Since, after choosing the first marble, we are putting it back and then the second marble is chosen.

As, there are 4 shaded marbles.

So, the probability of getting the first marble shaded = \frac{\binom{4}{1}}{\binom{11}{1}} = \frac{4}{11}

Also, there are 6 odd labeled marbles.

So, the probability of getting the second marble being odd labeled = \frac{\binom{6}{1}}{\binom{11}{1}} = \frac{6}{11}

So, the probability of getting the first marble shaded and second marble labeled odd = \frac{4}{11}\times \frac{6}{11} = \frac{24}{121}.

Hence, the required probability is \frac{24}{121}.

4 0
3 years ago
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△ABC is similar to △XYZ
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The correct answer is  ∠Y = 75°
because

    45°∠A ∼ ∠X         
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  45 + 60 = 105   
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3 years ago
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Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h
Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) -  Quantitative variable

Specific breed of monkey - Categorical variable

5 0
3 years ago
Which set of angles can form a triangle?
aniked [119]

Answer:

I think b is the correct answer

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After eating a delicious meal at your favorite restaurant, the bill comes to $74.98. the sales tax rate is 5.5% and you would li
Licemer1 [7]
So according to the problem, the tax should be calculated using the bill.

So 5.5% equals to 0.055.

Then multiply 0.055 and 74.98.

Thus resulting in 4.1239 and when rounded, the answer should be 4.12, C
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