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strojnjashka [21]
3 years ago
11

1. According to the graph, how many hours a day does the average teenager spend at school.

Mathematics
1 answer:
shutvik [7]3 years ago
5 0

There are 24 hours in a day. 25% is 25 / 100

% can always be replaced by divide by 100.

25/100 * 24 = 25*24/100 = 600 / 100 = 6

Therefore someone spends 6 hours a day in school.

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Given congruent triangles name the corresponding sides and corresponding angles
Alborosie

Answer:

See explanation

Step-by-step explanation:

Given \triangle ABC\cong \triangle ADC

According to the order of the vertices,

  • side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
  • side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
  • side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
  • angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
  • angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
  • angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
6 0
3 years ago
A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
AnnZ [28]

Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
3 0
2 years ago
Which of the following is an example of a subjective​ probability? A. Although College A has never played College B in​ basketba
AlladinOne [14]

Answer:

The answer is option A.

Step-by-step explanation:

Subjective probability is defined as a probability which is derived from a person's own experience or belief without relying on any data or scientific calculation.

In the question, the situation given in option A is an example of subjective probability because the analyst is giving a probability based on his or her own belief without using any data at all.

The other options clearly state the probability is being calculated by relying on observations and data.

I hope this answer helps.

8 0
3 years ago
HELPPP!!! WILL MARK BRAINLIEST!!!
LenKa [72]

Answer:

Horizontal Asymptote:    y=2

Vertical Asymptote: x=3

Step-by-step explanation:

One way: Look at graph

Look at for a horizontal or vertical line that both lines don't touch.

Second Way:

When you look for vertical asymptotes, you set the denominator equal to zero and solve.

For example, the second question has a denominator of x-3.

x-3=0

x=3 (This is the vertical asymptote)

When you look for horizontal asymptote, you do long division.

For example, the first question f(x)=\frac{2x}{x-3}

The answer will be 2. 2 is the quotient. You only want quotient not remainder.

y=2.

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What are the distinct factors of 40
CaHeK987 [17]
The factors include 1,2,4,5,8,10,20,40.
5 0
3 years ago
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