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zhannawk [14.2K]
2 years ago
11

Simplify ( 1/2A + 1/2B )^2

Mathematics
2 answers:
ANTONII [103]2 years ago
5 0
A^2     ab     b^2
___+  ___+ ___
  4        2       4

this is your answer
zysi [14]2 years ago
4 0
Notice that both A and B are multiplied by (1/2).

Thus, the given expression can be re-written as [(1/2)(A+B)]^2.

Square the (1/2) and the (A+B) separately, and then multiply together the resulting squares:

(1/4)(A^2 + 2AB + B^2)

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What percent of 150 is 350
DIA [1.3K]
p\% \ of \ 150=350 \\\\ \frac{p}{100}*150=350 \\\\ \frac{p}{2}*3=350 \\\\ \frac{p}{2}=\frac{350}{3} \\\\ p=\frac{2*350}{3}=\frac{700}{3} \\\\ \boxed{p=233.33 \%}
7 0
3 years ago
Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison
Gala2k [10]

Answer:

(a) The probability of getting someone who was not sent to prison is 0.55.

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.

Step-by-step explanation:

We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.

Let the probability that subjects studied were sent to prison = P(A) = 0.45

Let G = event that subject chose to plead guilty

So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40

and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55

(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison

      P(A') = 1 - P(A)

               = 1 - 0.45 = 0.55

(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)

We will use Bayes' Theorem here to calculate the above probability;

    P(A'/G) =  \frac{P(A') \times P(G/A')}{P(A') \times P(G/A') +P(A) \times P(G/A)}      

                 =  \frac{0.55 \times 0.55}{0.55\times 0.55 +0.45 \times 0.40}

                 =  \frac{0.3025}{0.4825}

                 =  <u>0.63</u>

6 0
3 years ago
Gumballs cost $0.50 each, and jawbreakers cost $0.30 each. Bob has $3.00 to spend on candy. Create an inequality that represents
castortr0y [4]

Answer:8 gumballs 3 jaw breakers

Step-by-step explanation:

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3 years ago
Luis measures a plant and finds it is 12.5 centimeters tall.
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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