Answer:
Waiter’s B Large Smoothies showed less variability.
Step-by-step explanation:
First, we have to find the mean for Waiter A’s and Waiter B’s Large Smoothies.
1) Mean
Waiter A
19.1 + 20.1 + 20.9 + 19.6 + 20.9 + 19.5 + 19.2 + 19.4 + 20.3 + 20.9 = 199.9
199.9 / 10 = 19.99
Waiter B
20.1 + 19.6 + 20.0 + 20.5 + 19.8 + 20.0 + 20.1 + 19.7 + 19.9 + 20.4 = 200.1
200.1 / 10 = 20.01
Now, we have to use the Mean Absolute Deviation (MAD) to find which waiter’s smoothies showed less variability.
Waiter A
I19.99 - 19.1I = 0.89
I19.99 - 20.1I = 0.11
I19.99 - 20.9I = 0.91
I19.99 - 19.6I = 0.39
I19.99 - 20.9I = 0.91
I19.99 - 19.5I = 0.49
I19.99 - 19.2I = 0.79
I19.99 - 19.4I = 0.59
I19.99 - 20.3I = 0.31
I19.99 - 20.9I = 0.91
0.89 + 0.11 + 0.91 + 0.39 + 0.91 + 0.49 + 0.79 + 0.59 + 0.31 + 0.91 = 6.3
6.3 / 10 = 0.63
Waiter B
I20.01 - 20.1I = 0.09
I20.01 - 19.6I = 0.41
I20.01 - 20.0I = 0.01
I20.01 - 20.5I = 0.49
I20.01 - 19.8I = 0.21
I20.01 - 20.0I = 0.01
I20.01 - 20.1I = 0.09
I20.01 - 19.7I = 0.4
I20.1 - 19.9I = 0.2
I20.1 - 20.4I = 0.3
0.09 + 0.41 + 0.01 + 0.49 + 0.21 + 0.01 + 0.09 + 0.4 + 0.2 + 0.3 = 2.2
2.2 / 10 = 0.22
Now, we just have to compare those numbers.
0.63 > 0.22
So, Waiter B’s smoothies show less variability.
All the sides of a square must equal 90 degrees. With that information, we can determine that corner C is 45 degrees. We can tell that the line that reaches corner C divides the angle by 2. So 90/2=45.
We also know
This is a conjunction, where y is sitting in between 2 numbers. Y is less than 4, so all numbers less than 4 are included, but at the same time it has to be greater than -1. So y is then between -1 and +4 on a number line. Putting it into an inequality, it's -1<y<4
Answer:
<u>1. 4/13 = 20/65
</u>
<u>2. 4/20 = 13/65 </u>
<u>3. 5/10 = 23/46</u>
<u>4. 5/10 = 32/64
</u>
<u>5. 5/23 = 10/46
</u>
<u>6. 5/32 = 10/64</u>
Step-by-step explanation:
We can make the following six equivalent ratios using the digits from 0 to 6 only once:
1. 4/13 = 20/65 (We multiply 4 and 13 by 5 to get the second equivalent ratio)
2. 4/20 = 13/65 (We divide the first ratio by 4 and the second by 13 and we get 1/5 on both ratios)
3. 5/10 = 23/46 (We divide the first ratio by 5 and the second by 23 and we get 1/2 on both ratios)
4. 5/10 = 32/64
(We divide the first ratio by 5 and the second by 32 and we get 1/2 on both ratios)
5. 5/23 = 10/46
(We multiply 5 and 23 by 2 to get the second equivalent ratio)
6. 5/32 = 10/64 (We multiply 5 and 32 by 2 to get the second equivalent ratio)