Answer:
a) 2.7 sec
b) 2.6 sec
c) 30.3 ft, 1.3 sec
Step-by-step explanation:
graphed the equation and determined answers from the curve
I got 20,737 but I could be wrong so I will attach my algorithm and work.
Answer:
x=18
Step-by-step explanation:
We need to find the areas of the rectangles
1st rectangle
A= l*w
A = (2x+4)*9
= 18x+36
2nd rectangle
A = l*w
= 15*(3x-30)
= 45x-450
Since the area of the rectangles are equal, we set these two equations equal
18x+36 = 45x-450
Subtract 18x from each side
18x-18x+36 = 45x-18x-450
36 = 27x-450
Add 450 to each side
36+450 =27x
486 = 27x
Divide by 27 on each side
486/27 = 27x/27
18=x
Answer: y + 1 = 2(x-6)
Step-by-step explanation:
Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)
Hope this was helpful! Please feel free to ask me any questions!
If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) = 
≈ 0.246
So the probability of that is 24,6 %
Good Luck
