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3 years ago

What is the percent of the discount?

Mathematics

1 answer:

Setler79 [48]3 years ago

8 0

The full price is $82, (100%), the discounted price is $65.60, (?%)

So lets see something:

$82 ------------- 100%

$65.60 --------------- x%

Multiply in cross

82.x = 65,60 . 100

82x = 6560

Divide both sides by 82

82x/82 = 6560/82

x = 80

So the discounted price is equal to 80% of the initial price

100% - 80% = 20% so the discount is 20%

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A student S is suspected of cheating on exam, due to evidence E of cheating being present. Suppose that in the case of a cheatin

Kay [80]

Answer:

Step-by-step explanation:

Suppose we think of an alphabet X to be the Event of the evidence.

Also, if Y be the Event of cheating; &

Y' be the Event of not involved in cheating

From the given information:

$P(\dfrac{X}{Y}) = 60\% = 0.6$

$P(\dfrac{X}{Y'}) = 0.01\% = 0.0001$

$P(Y) = 0.01$

Thus, $P(Y') \ will\ be = 1 - P(Y)$

P(Y') = 1 - 0.01

P(Y') = 0.99

The probability of cheating & the evidence is present is = P(YX)

$P(YX) = P(\dfrac{X}{Y}) \ P(Y)$

$P(YX) =0.6 \times 0.01$

$P(YX) =0.006$

The probabilities of not involved in cheating & the evidence are present is:

$P(Y'X) = P(Y') \times P(\dfrac{X}{Y'})$

$P(Y'X) = 0.99 \times 0.0001 \\ \\ P(Y'X) = 0.000099$

(b)

The required probability that the evidence is present is:

P(YX or Y'X) = 0.006 + 0.000099

P(YX or Y'X) = 0.006099

(c)

The required probability that (S) cheat provided the evidence being present is:

Using Bayes Theorem

$P(\dfrac{Y}{X}) = \dfrac{P(YX)}{P(Y)}$

$P(\dfrac{Y}{X}) = \dfrac{P(0.006)}{P(0.006099)}$

$P(\dfrac{Y}{X}) = 0.9838$

5 0

3 years ago

John is building a fence for his dog. He knows that he wants to make the width 3 feet longer than twice the length. Find the are

BaLLatris [955]

View screenshot below

7 0

3 years ago

Evaluate tan (cos^-1x3/5)

nikklg [1K]

Answer:

tan cox³ / 5s

Replace ^-1 with ^(-1)

Replace x3 with x³

Simplify

x³ / 5

Use equation to solve

tan • ((co • (s-1)) • x³ / 5)

Take the previous equation and format it in a simpler form

tan • ((co • (s-1)) • x³ / 5) ⇒ tan • cox³ / 5s

<h3>Result</h3>

tan cox³ / 5s

6 0

2 years ago

6 dollars for 3 cans of tuna

SSSSS [86.1K]

Answer: 2 dollers for each can of tuna

Step-by-step explanation: 2 x 3 = 6 or 2 + 2 + 2 = 6

4 0

3 years ago

Read 2 more answers

If person A earns $51000 more than person b. if total salaries are $304250. find salaries of a nd b

Dafna11 [192]

X + y = 304,250
x = y + 51,000

Plug in (y+51,000) for x into the first equation

y+51,000+y = 304,250
Subtract 51,000 from both sides.
2y = 253,250
y = 126,625

Plug y into second equation

x = 126,625 + 51,000
x =177,625

Person A : 177,625
Person B : 126,625

8 0

4 years ago