Answer:
505 batches
Step-by-step explanation:
Step 1
The first step is to realize that there is direct proportionality between the amount of red paint and the batches of orange paint made. we know that 33 liters of red paint is used to make 11 batches of orange paint.
Step 2
In this step we set up the ratios and solve the equation to find the number of batches that can be made from 1515 liters of red paint. Not that we will use the method of cross multiplication to work out the correct number of batches. Let
be the number of batches made using 1515 liters of red paint, we can calculate the number of batches as shown below,
![33\rightarrow 11\\1515\rightarrow x\\\implies (33)x=(1515)(11)\\\implies 33x=(1515)(11)\\\implies x=\frac{(1515)(11)}{33} \\\implies x=505](https://tex.z-dn.net/?f=33%5Crightarrow%2011%5C%5C1515%5Crightarrow%20x%5C%5C%5Cimplies%20%2833%29x%3D%281515%29%2811%29%5C%5C%5Cimplies%2033x%3D%281515%29%2811%29%5C%5C%5Cimplies%20x%3D%5Cfrac%7B%281515%29%2811%29%7D%7B33%7D%20%5C%5C%5Cimplies%20x%3D505)
with 1515 liters of red paint, we can make 505 batches of orange paint.
Answer:
σ = 3.08
Step-by-step explanation:
Given
6, 5, 13, 8
Required
Standard Deviation
Take note of the following highlighted steps
1. Calculate the Mean
Mean = summation of data ÷ number of data
Summation = 6 + 5 + 13 + 8
Summation = 32
Number of data = 4
Mean = 32/4
Mean = 8
2. Subtract the mean from given data
6:-> 6 - 8 = -2
5:-> 5 - 8 = -3
13:-> 13 - 8 = 5
8:-> 8 - 8 = 0
We have; -2, -3, 5, 0
3. Square these results
-2:-> -2² = 4
-3:-> -3² = 9
5:-> 5² = 25
0:-> 0² = 0
We have: 4, 9, 25, 0
4. Calculate the mean of these results
Mean = summation of data ÷ number of data
Summation = 4 + 9 + 25 + 0
Summation = 38
Number of data = 4
Mean = 38/4
Mean = 9.5
Step 5: Take square root of the above
Standard Deviation, σ = √9.5
σ = 3.08220700148
σ = 3.08 (Approximated)
Answer:
about 1.21 miles every 1 hour
Step-by-step explanation:
I believed there's a typo in your question
<span>The product of 3 and a number x is 2/3
if so
</span>3x = 2/3
x = 2/3 * 1/3
x = 2/9
answer
x = 2/9
The translation simply tells you how to operate on the coordinates of the points. So, translating
means that you have to subtract 5 to the x coordinate and 3 to the y coordinate.
So, point
is mapped onto
![(5,8)\mapsto (5-5,8+3) = (0,11)](https://tex.z-dn.net/?f=%285%2C8%29%5Cmapsto%20%285-5%2C8%2B3%29%20%3D%20%280%2C11%29)