Answer:
E. Each trial is independent
Step-by-step explanation:
I'm not completely sure why all binomial distribution trials are independent, but there are requirements for binomial distributions.
These requirements are:
- Each outcome is either a success (p) or a failure (Q)
- All trials are independent
- There are a fixed number of "n" trials
- The probability of success (p) is the same for each trial
I also just took the test and got this right.
Answer:
Step-by-step explanation:
A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?
This is a circle inscribed in an equilateral triangle with side s.
If you are asking for the perimeter of PQR, it is 3s.
If you are asking for the perimeter of OQR, it is (3+23–√3)s
Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.
(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s
Hope it helps
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A. f(x)=ln(x+4)-5
If it shifts to the left side then in braces put a (+) sign and if it shifts to the right then in braces put a (-) sign. If it goes up it’s positive and if it goes down it’s negative
Ii.First ,expand: 5(x-2)=32
5x-10=32
bring 10 to the other side (add it to 32)
5x=42
divide both sides by 5 to get x
x=42/5
x=8.4
iii.Expand 5+2(x+3)=21
5+2x+6=21
bring 5 and 6 to the other side
2x=21-5-6
2x=10 divide both sides by 2
x=5
Do you see a pattern in the given information?
3 pages in 13 min
9 pages in 39 min
15 pages in 65 min
the rate of pages per min is constant
3/13 = 9/39 = 15/65
the Question is asking for time.. So the we need the rate as min per page 13/3 so when multiplied by the number of pages it cancels to give minutes.
Units cancel out just like numbers do so you know that the problem is set up correctly.