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Alex73 [517]
2 years ago
15

Solve the following equation for a. -4G+1/8Qa=7 Answer: a=?

Mathematics
1 answer:
kolbaska11 [484]2 years ago
6 0

By making a the subject of formula in the given equation, the value "a" is equal to 1/(56Q + 32GQ).

<h3>What is an equation?</h3>

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In this exercise, you're required to solve for a from the given mathematical expression (equation) by making it the subject of formula. This ultimately implies that, all the other variables would be defined in terms of a and they would all be on the same side of the "equal to" symbol.

Making a the subject of formula, we have:

-4G + 1/8Qa = 7

1/8Qa = 7 + 4G

Multiplying both sides by 8Q, we have:

8Q × 1/8Qa = (7 + 4G) × 8Q

1/a = 56Q + 32GQ

a = 1/(56Q + 32GQ).

Read more on subject of formula here: brainly.com/question/21140562

#SPJ1

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A probability experiment is conducted in which the sample space of the experiment is S 1,2,3,4, 5,6,7,8, 9, 10, 11, 12]. Let eve
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Answer:

E\ n\ F = \{1, 5, 6,7\}

F\ n\ G =\{9\}

F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}

P(F\ U\ G) = \frac{3}{4}

Step-by-step explanation:

Given

S = \{1,2,3,4, 5,6,7,8, 9, 10, 11, 12\}

E = \{1,2, 3, 4, 5, 6,7\}

F =\{1,5,6, 7, 8,9\}

G = \{9,10, 11, 12\}

H = \{2, 3, 4\}

Solving (5): E and F

Sets of E and F = E n F

E\ n\ F = \{1,2, 3, 4, 5, 6,7\}\ n\ \{1,5,6, 7, 8,9\}

List out common elements

E\ n\ F = \{1, 5, 6,7\}

<em>They are not mutually exclusive because </em>n(E\ n\ F) \neq 0<em />

Solving (6): F and G

Sets of F and G = F n G

F\ n\ G =\{1,5,6, 7, 8,9\}\ n\ \{9,10, 11, 12\}

List out common elements

F\ n\ G =\{9\}

<em>They are not mutually exclusive because </em>n(F\ n\ G) \neq 0<em />

Solving (7): F or G and P(F or G)

Sets of F or G = F U G

F\ U\ G =\{1,5,6, 7, 8,9\}\ U\ \{9,10, 11, 12\}

List all elements without repetition

F\ U\ G =\{1,5,6, 7, 8,9,10, 11, 12\}

Solving P(F U G)

P(F\ U\ G) = \frac{n(F\ U\ G)}{n(S)}

n(F\ U\ G) = 9

n(S) = 12

Hence;

P(F\ U\ G) = \frac{9}{12}

Divide by 3

P(F\ U\ G) = \frac{3}{4}

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