median;
i tried mean 3, and mean 5 is wrong for sure, meaning it is median
explanation
arranged least to greatest
2, 2, 3, <em>3, 3,</em> 4, 4, 19 (8 numbers)
3+3/2=3
median=3
Answer:
Norman bought the shoes for $117.72
Step-by-step explanation:
In order to find the answer to this question, start by multiplying the cost by the markup.
$90 * 20% = $18.
Now we add the $18 to the original price.
$90 + $18 = $108
Now that we have the mark up price, we need to do the same using the tax.
$108 * 9% = $9.72
Finally, we add that to the previous total.
$108 + $9.72 = $117.72
Answer:
Part c: Contained within the explanation
Part b: gcd(1200,560)=80
Part a: q=-6 r=1
Step-by-step explanation:
I will start with c and work my way up:
Part c:
Proof:
We want to shoe that bL=a+c for some integer L given:
bM=a for some integer M and bK=c for some integer K.
If a=bM and c=bK,
then a+c=bM+bK.
a+c=bM+bK
a+c=b(M+K) by factoring using distributive property
Now we have what we wanted to prove since integers are closed under addition. M+K is an integer since M and K are integers.
So L=M+K in bL=a+c.
We have shown b|(a+c) given b|a and b|c.
//
Part b:
We are going to use Euclidean's Algorithm.
Start with bigger number and see how much smaller number goes into it:
1200=2(560)+80
560=80(7)
This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.
Part a:
Find q and r such that:
-65=q(11)+r
We want to find q and r such that they satisfy the division algorithm.
r is suppose to be a positive integer less than 11.
So q=-6 gives:
-65=(-6)(11)+r
-65=-66+r
So r=1 since r=-65+66.
So q=-6 while r=1.
2^2+b^2=12^2
4+b^2=144
144-4=140
√140 = √b
11.83 = b
Hello there! I can help you! So we are decreasing a price by 12% and then doing it again by 5%. We would pay 88% of the original price and then 95% of that sale price. To execute this better, let's make a real-world situation. Say that Mariana wants to buy a new pair of shoes that originally costed $100. The store has a tag for 12% off and then an additional 5% discount at the counter. How much would she pay for the shoes? What total discount does she get? Let's start by multiplying 100 by 88%. 100 * 88% (0.88) is 88. That's the first part. Now, we multiply that number by 95% to find the price at the counter. 88 * 95% (0.95) is 83.6. That's the price with both discounts. Mariana would pay $83.60 for the shoes, but what about the percent discount total? Let's subtract that price from 100 and see what we get. 100 - 83.6 is 16.4. Percents are parts of 100, so we don't need to do anymore simplifying. There. The total amount of discount is 16.4%.
