All categories

3 years ago

Are the 3 points of a triangle collinear? If not why?

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

Explanation:

NO, because, collinear means 'points on the same line'

all 3 points of a triangle are not on the same line. They are 3 different points. Therefore, they are not collinear.

You might be interested in

What is 6/15=2/c solve?

Firlakuza [10]

The correct answer is c=5. hope this helps.

4 0

3 years ago

Read 2 more answers

Hello I am asking this question What is 25% of £90

Rainbow [258]

Answer:

22.5 UK£

Step-by-step explanation:

i just searched it up on google.

6 0

3 years ago

can I see the formula for this question. Find the distance traveled in 20 seconds by an object traveling at a constant velocity

Butoxors [25]

You need the formula: feet per second = feet/second
Now you have to recast the formula to:
feet per second * second = feet , because you want to know the number of feet.

At the bottom is the answer.

At last you have to insert the values:
28 feet per second * 20 seconds = 560 feet

5 0

4 years ago

Find the range of the given function y = 5x - 4, where x > 6.

statuscvo [17]

Given:

The function is:

$y=5x-4$

where $x>6$ .

To find:

The range of the given function.

Solution:

Range is the set of output values.

We have, $x>6$ . It means the value of x is greater than 6 but not equal to 6.

The function is

$y=5x-4$

Putting x=7, we get

$y=5(7)-4$

$y=35-4$

$y=31$

Putting x=8, we get

$y=5(8)-4$

$y=40-4$

$y=36$

Putting x=9, we get

$y=5(9)-4$

$y=45-4$

$y=41$

So, the range of the given function is {31, 36, 41...}.

Therefore, the correct option is B.

7 0

3 years ago

150 students in a tenth grade high school class take a survey about which video game consoles they own 60 students answer that o

Archy [21]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

150 students in a tenth grade high school class take a survey about which video game consoles they own. 60 students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out of these, there are 20 who have both systems.

Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the student has an XBOX. Based on this information, answer the following questions.

a) What is P(A), the probability that a randomly selected student has a Playstation?

b) What is P(B), the probability that a randomly selected student has an XBOX?

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

Answer:

a) P(A) = 2/5

b) P(B) = 1/3

c) P(A and B) = 2/15

d) P(A | B) = 2/5

Step-by-step explanation:

Total no. of students = 150

No. of students having playstation = 60

No. of students having xbox = 50

No. of students who have both playstation and xbox = 20

a) What is P(A), the probability that a randomly selected student has a Playstation?

P(A) = No. of students having playstation/Total no. of students

P(A) = 60/150

P(A) = 2/5

b) What is P(B), the probability that a randomly selected student has an XBOX?

P(B) = No. of students having xbox/Total no. of students

P(B) = 50/150

P(B) = 1/3

c) What is P(A and B), the probability that a randomly selected student has a Playstation and an XBOX?

The probability that a students has a Playstation and an Xbox is given by

P(A and B) = P(A)*P(B)

P(A and B) = (2/5)*(1/3)

P(A and B) = 2/15

d) What is P(A | B), the conditional probability that a randomly selected student has a Playstation given that he or she has an XBOX?

The conditional probability is given by

P(A | B) = P(A and B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

Alternatively:

P(A | B) = P(A∩B)/P(B)

Where P(A∩B) is given by

P(A∩B) = No. of students who have both playstation and xbox/Total no. of students

P(A∩B) = 20/150

P(A∩B) = 2/15

P(A | B) = P(A∩B)/P(B)

P(A | B) = (2/15)/(1/3)

P(A | B) = 2/5

6 0

3 years ago