The percentage of reduction is 17%
<u>Explanation:</u>
Original price = $21
Reduced price = $17.43
Percentage of reduction = ?
Difference in price = $21 - $17.43
= $3.57
Percentage of reduction = 

Therefore, percentage of reduction is 17%
Answer:
The original price is 337.50
Step-by-step explanation:
If we get 20% off, we still have to pay 100-20 =80%
Let x be the original price
x *80% = 270
.80x = 270
Divide each side by .80
.80x/.80 = 270/.80
x =337.50
The original price is 337.50
Answer:
17 =x
Step-by-step explanation:
The angles are vertical angles, so they are equal
51 = 3x
Divide each side by 3
51/3 = 3x/3
17 =x
Answer:
If you're timed then I would say,
Yes this is a random study because the problem specifically states that the survey samples were randomly selected from populations.
I think that is the answer! However, if you have time I would wait for another person to answer as well because I'm terrible at statistics :(
Answer:
4.4
Step-by-step explanation:
The sum of the probabilities of all possible outcomes is 1.
As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.
Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

Add a product row and a totals column:

(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).
The expected value (EV) is the sum of the product of each outcome and its probability.
Therefore, the expected value (EV) of this die is 44/10 = 4.4