36/3= 12
12(12)= 144/2= 72
The area of the triangle is 72 square cm.
Hope this helps!
Answer:
μ > 21.21
Test statistic = 1.217
Kindly check explanation for more details
Step-by-step explanation:
The null hypothesis, H0 : μ = 21.21
Alternative hypothesis, H1 : μ > 21.21
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(21.212 - 21.21) ÷ (0.01 / √2)
= 1.217
The critical value :
From the t distribution :, one tailed = 2.434
Decision region :
Reject H0 if test statistic > critical value
1.217 < 2.434 ; We fail to reject the null ` ; and conclude that there is not enough evidence to support the claim.
Answer:
30 marbles would be green
Step-by-step explanation:
green chance is 0.3
red chance 0.7
.3 times 100
30 green marbles is what you would expect
Answer:

Step-by-step explanation:
<u>Regular Hexagon</u>
For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.
We know that x is half the length of the side length of the hexagon. Thus

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

Now we have
, the height of the triangle y is easily found by

Solving for y

The value of z can be found by using


The area of the triangle is

The area of the hexagon is 12 times the area of the triangle, thus


Answer:
Suppose that you have 50 people that like hip hop and 50 people that like country.
Now, the union of those sets would be 50 + 50 = 100 people, right?
Well, this may be incorrect, because in the 50 people that like hip hop, we may have, for example, 10, that also like country (this means that in the 50 people that like country, we also have 10 that like hip hop).
Then when we are adding 50 + 50 we are counting those 10 people in both groups, and that is why the direct addition may be different than the union of both sets.
In more technical words, the union of two sets is equal to the addition of the elements of both sets minus the elements in the intersection of both sets (in our prior example, the 10 people that like hip hop and country music are the intersection of both sets)