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lisov135 [29]
3 years ago
7

What's the least common multiple of 2 and 3

Mathematics
2 answers:
Serga [27]3 years ago
7 0
6 is the least common multiple of 2 and 3
dem82 [27]3 years ago
4 0

Answer:

its 6............................

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Line p is parallel to line q. Which proof explains why the sun of the interior angles of the triangle must be 180
V125BC [204]

Answer:

We consider a triangle ABC as attached in the answer.

We draw a line parallel to AB that passes  through point C.

Angles C and C' are vertical angles,  therefore ∠C = ∠C'.  

Angles B and B' are corresponding angles,  therefore ∠B = ∠B'.

Angles A and A' are corresponding angles, therefore ∠A = ∠A'.

it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.

The three angles A', B', and C' form together a straight angle  so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.

This proofs that sum of angles of a triangle is equal to 180.

4 0
3 years ago
A dot plot shows the<br> on a number line.<br> symmetry<br> cluster<br> frequency of data
Alecsey [184]

Answer:

Frequency

Step-by-step explanation:

"A dot plot is a visual display in which each piece of data is represented by a dot above a number line, showing the frequency of each data value. The total number of dots in the plot is the total number of values in the data set. The data points must all be in the same units."

8 0
3 years ago
The probability that a randomly chosen person has a dog is 0.34. The probability that a randomly chosen person will have a dog a
Elina [12.6K]

Taking into definition of probability, the probability that a randomly chosen person is not walking in the park is 0.91.

<h3>Definition of Probabitity</h3>

Probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

<h3>Union of events</h3>

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

<h3>Complementary event</h3>

A complementary event is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

The probability of occurrence of the complementary event A' will be:

P(A´)= 1- P(A)

<h3>Events and probability in this case</h3>

In first place, let's define the following events:

  • D: a person has a dog.
  • W: a person is walking in the park.

Then you know:

  • P(D)= 0.34
  • P(D and W)= P(D∩W)= 0.03 [The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.]
  • P(D or W)= P(D∪W)= 0.40

In this case, considering the definition of union of eventes, the probability that a randomly chosen person is walking in the park is calculated as:

P(D∪W)= P(D) + P(W) -P(D∩W)

0.40= 0.34 + P(W) -0.03

Solving:

0.40= 0.31 + P(W)

0.40 - 0.31= P(W)

<u><em>0.09= P(W)</em></u>

Then, the probability that a randomly chosen person is walking in the park is 0.09.

Considering the definition of the complementary event and its probability, the probability that a randomly chosen person is NOT walking in the park is calculated as:

P [W']= 1- P(W)

Replacing and solving:

P [W']= 1 - 0.09

P [W']= 0.91

Finally, the probability that a randomly chosen person is not walking in the park is 0.91.

Learn more about probability:

brainly.com/question/25839839

brainly.com/question/26038361

#SPJ1

7 0
1 year ago
What is the answer b2+c2+c3
Ivan

Answer:

8

Step-by-step explanation:

well because since you have to add u add 3+b

8 0
2 years ago
Read 2 more answers
Write the equation of a line perpendicular to y=2x-5 that passes through the point (-2,5)
yawa3891 [41]

y = mx + b

The product of slopes of perpendicular lines is -1.  The slope of the given line is 2, so the slope of the perpendicular line is -1/2.

y = (-1/2)x + b

Now use the given point to find b and finish from here.

-5 = (-1/2)(2) + b

b = ?

3 0
3 years ago
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