You first find the average of the first two test scores. When you find the average, you add the two numbers together and then divide by two which gives you 89. You then plug in different scores above the number 89 and find the average of those (89 and x) to see which gives you an average of 92. It’s mostly a guess and check type of problem.
x = 32
To find the media, you take the middle number. If there is no discrete middle number, take the sum of the two closest to the middle and divide by 2.
(24 + x)/2 = 28
Multiply by 2 on both sides to get:
24 + x = 56
Subtract 24 from both sides to isolate the variable:
x = 56 - 24
x = 32
Cf=cold faucet rate
hf=hot faucet rate
cf*18min=1 tub
(cf+hf)*8min=1 tub
cf+hf=1tub/8min
cf=1tub/18min
hf=(1/8-1/18)tubs per minute
hf=5/72
It takes 14.4 minutes.
Answer:
The E. Coli will grow at a rate of approximately 800% an hour.
Step 1: Find the slope of 3x - 7y = 6
3x - 7y = 6
- 3x -3x
___________
-7y = -3x + 6
-------------------
-7
y = 3/7 x - 7/6
So the slope from this equation is 3/7. Since the line is going to be perpendicular, this slope needs to be the opposite reciprocal. In order to do this, you need to flip 3/7 upside down and make it negative.
Step 2: Use point - slope form to find the y - intercept from the ordered pair
(0, -6/7).
Formula for point - slope form is y - y1 = m (x - x1)
y - (-6/7) = -7/3 (x - 0)
y + 6/7 = -7/3 (x - 0)
y + 6/7 = -7/3x + 0
-6/7 -6/7
----------------------------------
y = -7/3x - 6/7
This step proves that the y - intercept has to be -6/7.
Step 3: Your final answer should be y = -7/3 - 6/7.
