Answer:
Step-by-step explanation:
a³+b³=(a+b)(a²-ab+b²)
x³+216=x³+6³=(x+6)(x²-6x+6²)=(x+6)(x²-6x+36)
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) = 
∵ 50 are L-shaped
∴ P(L-shaped) = 
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) = 
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Learn more:
You can learn more about the probability in brainly.com/question/2254182
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Answer:
option-B
Step-by-step explanation:
we are given system of inequality as


now, we can check solution
At (0,0):
we can plug x=0 and y=0
and check inequality


so, this is FALSE
now, we can check second inequality


So, this is TRUE
so, option-B
Weight in Robbie backpack is
pounds or 4.5 pounds
<em><u>Solution:</u></em>
Given that Today Robbie is carrying his history textbook and his lunch in his backpack.
<em><u>To find: weight in Robbie's backpack</u></em>
<em><u>From given,</u></em>
Weight of history book =
pounds
Weight of lunch =
pounds
weight in Robbie's backpack = Weight of history book + Weight of lunch

Convert the mixed fractions

Thus weight in Robbie backpack is
pounds or 4.5 pounds