<h3>
Answer: 45/121</h3>
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Work Shown:
2 blue, 4 red, 5 green
2+4+5 = 11 total
P(blue) = probability of getting one blue marble
P(blue) = (number of blue)/(number total)
P(blue) = 2/11
A = P(2 blue) = (2/11)*(2/11) = 4/121
P(red) = 4/11
B = P(2 red) = (4/11)*(4/11) = 16/121
P(green) = 5/11
C = P(2 green) = (5/11)*(5/11) = 25/121
Add the values of A,B, and C to get the probability of getting two of the same color
A+B+C = 4/121+16/121+25/121 = 45/121
This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening
Side note: we can add A,B, and C because they are mutually exclusive events.
The area of a circle:
A = πr²
dA/dr = 2πr
We are given dA/dt, using the chain rule
dr/dt = dA/dt x dr/dA
dr/dt = 1 x 1/2πr
When circumference = 2 cm:
2 = 2πr
r = 1/π; putting this value of r
dr/dt = 1/2π(1/π)
dr/dt = 1/2 cm/s
The radius is increasing at a rate of 1/2 cm/s.
Answer:
2,4,8,16,32,64
Step-by-step explanation:
There are a couple of ways one could approach this. The goal is to find out the factor by which the numbers are increasing. Looking at going from 8 -> 16, we have either added 8, or doubled 8. So the factor is either +8 or x2. Going from 16 -> 32, adding 8 no longer holds true, while multiplying by 2 (doubling 16) does. To confirm what we have found, we can further check our math by using the final two numbers, 32 -> 64, to confirm that the sequence pattern is to double the current number to achieve the next number.
Working backwards, we can half each number to find out the first two numbers in the sequence. 64/2 = 32, 32/2 = 16, 16/2 = 8, 8/2 = 4, 4/2 = 2
Answer:
I cannot see it well
Step-by-step explanation:
Answer:
Estimation is important because It is used to determine how reasonable a quotient is, as well as making sure its within reasonable range.
