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3 years ago

Solve for the variable. Show each step in the solution process.

Mathematics

1 answer:

motikmotik3 years ago

6 0

Answer:

z = 1/2

Step-by-step explanation:

Step 1: Write equation

22z + 6 - 10 = 6z + 4

Step 2: Solve for <em>z</em>

Combine like terms: 22z - 4 = 6z + 4
Subtract 6z on both sides: 16z - 4 = 4
Add 4 to both sides: 16z = 8
Divide both sides by 16: z = 8/16
Simplify: z = 1/2

Step 3: Check

<em>Plug in z to verify it's a solution.</em>

22(1/2) + 6 - 10 = 6(1/2) + 4

11 - 4 = 3 + 4

7 = 7

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katen-ka-za [31]

You made a mistake with the probability $p_{j}$ , which should be $p_{i}$ in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer $j$ , is given by:

(1) $\frac{p_{j} }{1-d_{i}p_{i} } , if j \neq i,$ and

(2) $\frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} } , if j = i.$

so we can say:

$A$ is the event that you search drawer $i$ and find nothing,

$B$ is the event that you search drawer $i$ and find the paper,

$C_{k}$ is the event that the paper is in drawer $k, k = 1, ..., n.$

this gives us:

$P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}$

$P(A) = 1 - P(B) = 1 - d_{i} p_{i}$

Solution to Part (1):

if $j \neq i$ , then $P(A \cap C_{j} ) = P(C_{j} )$ ,

this means that

$P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)} = \frac{P(C_{j} )}{P(A)} = \frac{p_{j} }{1-d_{i}p_{i} }$

as needed so part one is solved.

Solution to Part(2):

so we have now that if $j$ = $i$ , we get that:

$P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}$

remember that:

$P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}$

this implies that:

$P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )$

so we just need to combine the above relations to get:

$P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} }$

as needed so part two is solved.

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4 years ago

A Salesperson receives 4% commission on sales. The salesperson receives $280 in commission what is amount of sales ?

Darya [45]

Answer:

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Step-by-step explanation:

280 ÷ 0.04 = 7000

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3 years ago

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solmaris [256]

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3 years ago

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GalinKa [24]

Answer:

v = 1

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lora16 [44]

6 x 89 is 534
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540 - 6 is 534.

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4 years ago

Solve for the variable. Show each step in the solution process.​

Solve for the variable. Show each step in the solution process.