There is a strong, positive association
Answer:
8
Step-by-step explanation:
The diagram shows 8 different endpoints, so there are 8 different possible outcomes.
You can list all outcomes:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
where H - head, T - tail
Answer:
302.02 units²
Step-by-step explanation:
To do this, we can first solve for the height of the trapezoid. We can do this using sin:
sin 70= 
14· sin 70≈13.16
Now, we can solve for the base of the small triangle on the right by:
cos 70= 
14 · cos 70 ≈4.79
Now, find the area of the triangle using
:
V= (4.79)(13.16)/2≈30.86
Now, we can find the area of the rectangle in the middle by:
15· 13.16 (the height)= 197.4
Now, we need to solve for the triangle on the left. We will need to first find the base by subtracting the bases of the other figures from 31:
31-4.79-15= 11.21
Now, find the area of the triangle:
V=(11.21)(13.16)/2= 73.76
Add all of the areas, giving you:
73.76+30.86+197.4= 302.02 units²
The values of the three angles in the given triangle are; B = 14.583°;
A = 77.917°; C = 87.5°
<h3>What is the sum of angles in the triangle?</h3>
We are told that the measure of angle C is six times the measure of angle B. Thus, this can be expressed as;
C = 6B
We are told that 4 times angle A is 20 more than 20 times angle B. Thus, this can be expressed as;
4A = 20B + 20
Divide through by 4 to get;
A = 5B + 5
No, we know that sum of angles in a triangle is 180°. Thus;
5B + 5 + B + 6B = 180
12B + 5 = 180
12B = 180 - 5
12B = 175
B = 175/12
B = 14.583°
A = 5(175/12) + 5
A = 77.917°
C = 6 * 175/12
C = 87.5°
Read more about Angles in a triangle at; brainly.com/question/7620723
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Answer:
B) y < 3/4x -2
Step-by-step explanation:
First, to eliminate 2 options let's see what sign we should use. The ≤ is a solid line where < is a dotted line. Next, you need to know which way to flip the sign. If it is under the line it is the < symbol.