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3 years ago

Simplify the expression below using the distributive property

Mathematics

1 answer:

Rus_ich [418]3 years ago

3 0

Answer:

-84-12i

Step-by-step explanation:

The one you have is the answer :)

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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

25 10^6 in standard form

Alex

Answer:

0^6= 1000000. The final answer is 25000000.

6 0

3 years ago

Is a triangle with the given side lengths of 15cm, 17cm, and 19cm a right triangle?

Alexandra [31]

Lets see!
We need to use the pythagorean theorem (a^2+b^2=c^2) to check.
So..
15^2+ 17^2 = 19^2
225+ 289= 361
Hm 225 and 289 do NOT equal 361 therefore it is NOT a right triangle.

3 0

3 years ago

Read 2 more answers

HELP NEEDED ASAP WILL GIVE 5 STAR RATING AND BRAINLIEST!

stealth61 [152]

Answer:

The answer to your question is: ∠K = 138°

Step-by-step explanation:

m∠N = 42°

m∠K = ?

The sum of all the internal angles in a quadrangle equals 360°

then

∠N + ∠L + ∠M + ∠K = 360°

∠N = ∠ L and ∠M = ∠K

So, 2 ∠N + 2 ∠K = 360

Substitution

2 (42) + 2 ∠K = 360

84 + 2 ∠K = 360

2 ∠K = 360 - 84

2 ∠K = 276

∠K = 276 / 2

∠K = 138°

8 0

3 years ago

Mr. Harrow has eight boys and six girls in his Honors Pre-calculus class. If he randomly chooses two students, one at a time, wh

Sergeu [11.5K]

Answer: 15/91 which is choice B

=================================================================

There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

--------------------

Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.

5 0

3 years ago

Read 2 more answers