Amy: (3 pages/min)(x min) + 9 pages
Sam: (2 pages/min)(x min) + 47 pages
Equate these: 3x+9 = 2x + 47
Then x = 38. The two friends will have covered the same number of pages after 38 minutes. How many pages would that be? 3(38)+9 = 123 pages.
Answer:
5/hypotenuse, the square root of 7/ leg
Step-by-step explanation:
3^2+4^2=25 or 5^2. you use a^2+b^2=c^2. it would be one of the hypotenuses. If the missing number is a leg, you would do 4^2=3^2+x^2. 16=9+x^2, 7=x^2, so you plug in the numbers differently.
Answer:
6.10%
Step-by-step explanation:
For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2
Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)
Now on the 17th trial, an empty bag is chosen
Therefore the required probability will be;
16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%
<h3>
Answer: <u>
100 ft</u>
is the hypotenuse</h3>
===================================================
Work Shown:
a = 60 and b = 80 are the two known sides
c is the unknown hypotenuse
Applying the pythagorean theorem gets us...
a^2 + b^2 = c^2
60^2 + 80^2 = c^2
3600 + 6400 = c^2
10,000 = c^2
c^2 = 10,000
c = sqrt(10,000)
c = 100
A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.
Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.
Answer:
c. 0.83
d. 0.28
Step-by-step explanation:
See solution below
