Step-by-step explanation:
Add 8n to both sides to get
8n-67 = 5
then add 67
8n = 5+67 = 72
divide by 8
n = 9
Answer:
Answer is D.
Step-by-step explanation:
Multiply both sides by m.
Divide both sides by .
Answer:
See below
Step-by-step explanation:
Let and be the average age of population 1 (men) and 2 (women) respectively.
The correct hypothesis would be
<u>Null Hypothesis</u>
<u>Alternative Hypothesis</u>
It is worth noticing that in order to be able to make the hypothesis test it is necessary to know:
- The approximate data distribution of ages from population 1 and 2 (which is oftentimes a Normal distribution in these kind of sociological studies)
- The standard deviation of population 1 and 2. Since this is almost always impossible to determine in very large populations, then an estimation of the standard deviation together with the sample size used to determine it is required.
- The level of confidence required to asses the hypothesis. The most common ones are 90%, 95%and 99%
Answer:
y-1 = 5(x+8)
Step-by-step explanation:
The standard equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Given
Slope m = 5 (assumed value)
Point (-8,1)
Substitute the given data's into the formula
y -1 = 5(x-(-8))
y-1 = 5(x+8)
Hence the required equation is y-1 = 5(x+8)
Answer:
0.5 m/s
Falling at 32 feet/s
Step-by-step explanation:
For the first question, since it only asks for the average time between 2 and 8 seconds, those are the only two important values. When taking the inputs and outputs for 2 and 8 seconds after the throw ((2,3) and (8,6) respectively), we can take the average change by finding the change in y/change in x, so we have (6-3)/(8-2)=0.5 meters/second.
For the second question, we can similarly just take the values from the initial drop (144) and after two seconds (80) to get that the rate of change is (144-80)/(-2)=-32, so it's falling at 32 feet/second.
Let me know if you have any questions!