Analyze the solution set of the following system by
1 answer:
Answer:
Slope -intercept for of equation 1:
Slope -intercept for of equation 2:
Looking at slope-intercept form of both equations, we have slope m = -2
Both have same slopes so, the lines are parallel.
Step-by-step explanation:
We need to write equations in slope-intercept form.
The general formula of slope-intercept form is: where m is slope and b is y-intercept.
The first equation is:
Slope-intercept form:
The second equation is:
Rearranging:
Slope-intercept form:
Slope -intercept for of equation 1:
Slope -intercept for of equation 2:
Looking at slope-intercept form of both equations, we have slope m = -2
Both have same slopes so, the lines are parallel.
They have different y-intercepts.
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Answer:
1,539
Step-by-step explanation:
Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to
where
<em>Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9) </em>
<em>p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35 </em>
<em>q = 1-p = 0.65 </em>
<em>e = the error proportion = 2% = 0.02 </em>
Making the calculations
So, the sample size should be 1,539 young urban people (ages 21 to 35 years)
Answer:
8 cookies: 1 cookie =$1.25
12 cookies: 1 cookie =$1.33
Step-by-step explanation:
The formula for price per unit is :
Lets first work out the price per unit for the 8 cookies. You can do this by dividing the price of 10 by the amount of 8, this gives you $1.25. This means that the price per cookie is $1.25.
Now to work out the price per cookie for 12 cookies. You can do this by dividing the price of 16 by the amount of 12, this gives you $1.33. This means that the price per cookie for this offer is $1.33.
1) Divide 10 by 8.
2) Divide 16 by 12.