The average (arithmetic mean) of 0, a, and b is 2a. What is the value of b in terms of a?

Answers

Answer 1

Answer: 0+a+b
a=2
b=10
0+2+10=12/3=4
4=2a
5a is the answer.

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What is the solution of the equation? 4(y 2) = 32 a. 6
b. –10
c. 10
d. 4?

Answers

32/4 = 8 <=> (y...2) = 8
if y/2 => x = 16
if yx2 => x = 4
if y + 2 => x = 6
if y - 2 => x = 10

See image for question.

Answers

Answer:

See below

Step-by-step explanation:

P(A) = 3/8
P(B) = 2/7

(i)

P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28

(ii)

P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56

(iii)

P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56

Another way:

P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56

Outcomes with two fair coins: TT, TH, HT, HH

Outcomes with normal dice: 1 to 6

P(odd number) = 3/6 = 1/2

P(two heads and an even number) = 1/4*3/6 = 1/8

P(head and tail) = 1/2
P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
P(head, tail and prime) = 1/2*1/2 = 1/4

P(two tails and odd number) = 1/4*3/6 = 1/8

Identify all of the square roots of perfect squares in the list below. Select all that apply. A) √25 B) √36 C) √50 D) √144 E) √200 F) √362

Answers

Answer:

The square roots of perfect squares in the list are:

A) √25 = 5 B) √36 = 6 D) √144 = 12

The other numbers © √50, E) √200, and F) √362 are not square roots of perfect squares. Therefore, the correct answers are A, B, and D.

In a group of 50 patrons, 12 patrons like lattes, 11 patrons like espressos, and 6 patrons like both coffee drinks. How many patrons don't like either of the coffee drinks?

Answers

There will be 21 patrons that don't like either of the coffee drinks.

What are the real and imaginary parts of the complex number?

9+7i

Answers

Answer:

9 is the real part and 7i is the imaginary part

Step-by-step explanation:

A complex number is written in the form a+bi where a is the real part and bi is the imaginary part

9 = real part

7i is the imaginary part

The two box plots show the data of the pitches thrown by two pitches throughout the season.Which statement is correct? Check all that apply

Answers

Answer: b and c

Step-by-step explanation:

Answer:

B and C (*^▽^*)

Step-by-step explanation:

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