Answer:
26
Step-by-step explanation:
When you flip two coins, you can have 4 different outcomes:
HH
HT
TH
TT
All outcomes are equally likely, but notice that if you do not keep track of which coin is which, you will get 1/4 of the flips to be both heads, 1/4 of the flips to be both tails, and 1/2 of the flips to be one heads and one tails.
p(both heads) = 1/4
With 105 flips, the expected number of both heads is
105 * 1/4 = 26.25
Answer: 26
Answer:
Ummm... Jeez I don't know, this is hard.
Maybe pentagon?
(Thanks btw)
The hypotenuse of the two triangles have the same slope because they are in the same straight line and the slope of a straight line is constatn.
You can prove that in this way:
slope = rise / run = Δy / Δx
For the upper triangle: slope = (4 - 2) / (8 - 4) = 2 / 4 = 1 / 2
For the lower triangle: slope = (-1 - (-5)) / (- 2 - (-10)) = 4 / 8 = 1 / 2
So, this proves that the two slopes are the same: 1 / 2
<u>Given</u>:
Given that a triangle has side lengths 1.5 inches, 2 inches and 3 inches.
We need to determine whether the triangle is a right triangle.
<u>Right triangle:</u>
To determine whether the given triangle is a right triangle, let us use the Pythagorean theorem.
Let us assume that the given triangle is a right triangle.
Since, the value of the hypotenuse takes the largest value in the given triangle, then from the given sides, the hypotenuse is 3 inches.
The legs of the triangle are 1.5 inches and 2 inches.
Applying the Pythagorean theorem, we have;

Squaring the terms, we have;


Since, both sides of the equation are not equal, then the given triangle with sides 1.5 inches, 2 inches and 3 inches is not a right triangle.
Hence, our assumption is wrong.
The given triangle is not a right triangle.