Simplify expression 2/3[3f+12]+f
1 answer:
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Sum of two algebraic expressions is addition of two expressions. The sum of the given expressions is given as: Option B:
Those terms which have same variables raised with same powers.
For example, and
are like terms since variable is same, and it is raised to same power 3.
For example and
are not like terms as the variables are same but powers aren't same.
Constants who are in multiplication with variables are called coefficients of those variables.
For example, in we have 10 as coefficient of
Suppose we have
Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.
If we have, suppose,
, then we see that 4x and 2x are like terms, their coefficient can be added and thus, the simplified form would be
For the given condition, the needed sum is evaluated as:
Thus,
The sum of the given expressions is given as: Option B:
Learn more about addition of polynomials:
If the coins are selected without replacement, the probability of 2 dimes is:
The answer is 5/14.
Using the formula for a hypergeometric distribution, we get:
The answer is 5/14.
Using the formula for a hypergeometric distribution, we get:
Answer:
0.004
Step-by-step explanation:
If two events A, B with probabilities P(A), P(B) are independent, then the probability of the two events ocurring at the same time A∩B is P(A)P(B).
In this case we have
P(torque=very high) = 0.3
P(torque=high) = 0.4
P(torque=average) = 0.2
P(torque=low) = 0.01
Using the product rule, we see there are
ways of partitioning 25 bolts in groups of 7,8,6 and 4 bolts.
Each one of those partitions has a probability of
So, the probability of rating 7 very high, 8 high, 6 average, and 4 low is