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babunello [35]
3 years ago
13

S=a+b+c solve for b Completely forgot how to do this

Mathematics
1 answer:
olganol [36]3 years ago
7 0

Answer:

b = S - a - c

Step-by-step explanation:

You just move every other term except for the one you're solving for to the other side, using the opposite operations

S = a + b + c

S - a = b + c

S - a - c = b

b = S - a - c

OR

S = a + b + c

-b + S = a + c

-b = -S + a + c

b = S - a - c (we flipped all signs here to make b positive, like it's supposed to be. The justification for this is multiplying both sides by -1)

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8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

  1. first ball picked is 5, the others are not
  2. first ball is not 5, second is 5, third is not
  3. first and second ball is not five, third ball is 5

Each probabilities are:

  1. \frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}
  2. \frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}
  3. \frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}

Thus, one of the balls selected is the number 5 is then \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}

5 0
3 years ago
Find y into the nearest hundredth place
vichka [17]

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            \frac{y}{sin 47}  = \frac{17}{sin 90}

       ysin 90 = 17 sin 47

         y = 12.43ft

6 0
3 years ago
When Aristotle Proclaimed his new theory, 87 responded. If this was only 3/5 the number of responses expected, how many response
Genrish500 [490]
3/5 of the total responses expected = 87...
3/5x = 87
x = 87 / (3/5)
x = 87 * 5/3
x = 435/3
x = 145 <=== what was expected

3 0
3 years ago
The simplified form of 5√2 - 4√2/ √2 is... its estimated value is..
ankoles [38]

Answer:

2 answers available depending on paranthesis

Step-by-step explanation:

5√2-4√2/√2 = 5√2 - 4

if there is a parenthesis like

(5√2 - 4√2)/√2 = 1√2/√2 =1

7 0
2 years ago
Can someone help me wit this please
Mariulka [41]
I failed that sorry mk
8 0
3 years ago
Read 2 more answers
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