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2 years ago

5

Solve for r literal equation

\frac{a}{a-r}" alt="S = \frac{a}{a-r}" align="absmiddle" class="latex-formula">

1 answer:

ivanzaharov [21]2 years ago

8 0

Step-by-step explanation:

$s = \frac{a}{a - r}$

multiply both sides by a - r

$(a - r)s = a$

divide both sides by s

$a - r = \frac{a}{s}$

subtract a from both sides

$- r = \frac{a}{s} - a$

invert the signs

$r = - \frac{a}{s} + a$

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(HELP FINAL EXAM) If two states are selected at random from a group of 40 states, determine the number of possible outcomes if

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Answer:

With replacement, there are 1600 possible outcomes.

Without replacement, there are 1560 possible outcomes.

Step-by-step explanation:

Chosen with replacement:

State is chosen, then put back in the group, then another state can be chosen. In both cases, there will be 40 possible outcomes, as the first taken state is placed back. So

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With replacement, there are 1600 possible outcomes.

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3 years ago

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3 years ago

B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.

finlep [7]

Answer:

$\text{Probability}=\frac{1}{3}$

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{2}{6}$

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8 0

3 years ago