Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]
Answer:
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
We are given the following data in the question:
10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20
Formula:
where are data points, is the mean and n is the number of observations.
Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128
Empirical rule:
- According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviations of mean.
- Arround 99.7% of data lies within three standard deviation of mean.
Thus, by empirical rule,
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
1) Collect like terms.
2) Simplify.
So, therefor, the answer is -17y - 16z + 4.
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1