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3 years ago

Bryan paid a sale price of $45 for a video game. What is the original price if the discount was 25% off?

Mathematics

1 answer:

lina2011 [118]3 years ago

3 0

The original price is $60

<u>Explanation:</u>

Given:

Selling price, SP = $45

Discount rate = 25%

Original price,y = ?

We know:

Discount = Marked price - selling price

Discount = y - 45

Discount % = $\frac{discount}{marked price} X 100\\$

$\frac{25}{100} = \frac{y -45}{y} \\\\y = 4(y - 45)\\\\y = 4y - 180\\\\180 = 3y\\\\y = 60$

Therefore, the original price is $60

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Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample o

lozanna [386]

Answer:

$\dfrac{2}{3}$

Step-by-step explanation:

Given that:

The number of observations is:

6, 10, 12

If we are to use a simple random sampling without replacement, then we will have:

(6,10) (6,12) (10,12)

Here;

the sample size n = 2

The population size N = 3

For (6,10) ; The sample mean = $\dfrac{6+10}{2}$

= $\dfrac{16}{2}$

= 8

For (6,12) ; The sample mean = $\dfrac{6+12}{2}$

= $\dfrac{18}{2}$

= 9

For (10, 12) ; The sample mean = $\dfrac{10+12}{2}$

= $\dfrac{22}{2}$

= 11

The probability distribution of sample mean(x) is:

X 8 9 11

P(X=x) $\dfrac{1}{3}$ $\dfrac{1}{3}$ $\dfrac{1}{3}$

Thus, the probability that the sample mean is larger than 8 is:

P(X> 8) = P(X = 9) + P(X + 11)

P(X> 8) = $\dfrac{1}{3}+\dfrac{1}{3}$

P(X > 8) = $\dfrac{1+1}{3}$

P(X> 8) = $\dfrac{2}{3}$

5 0

3 years ago

Mason used distributive property of multiplication to help him solve the equation 3 x 7 = ________. Mason did not get the same a

cupoosta [38]

Answer:

See below

Step-by-step explanation:

3*7

3(3+4)

3*3 + 3*4

9 + 12

3 0

3 years ago

Can someone please help me solve 1-|1/3q-5|=-6

FrozenT [24]

Hello,

2 cases:

if 1/3*q-5>0 then

|1/3*q-5|=1/3*q-5
1-|1/3*q-5|=-6
1-(1/3*q-5)=-6
1-1/3*q+5=-6
6-1/3*q=-6
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q=36

else

|1/3*q-5|=-(1/3*q-5)
1-|1/3*q-5|=-6
1+(1/3*q-5)=-6
1+1/3*q-5=-6
-4+1/3*q=-6
1/3*q=-2
q=-6

4 0

3 years ago

Calculate the answer, express it in scientific notation.

castortr0y [4]

The first one
the first 2 numbers gives a power of 1 then the second gives you 1-4.
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3 years ago

Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.

Pavlova-9 [17]

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3 years ago