Answer:
im thinking number #A but it also d
Answer:
The system is inconsistent because there is no solution.
Step-by-step explanation:
I'm going to put both of these in slope-intercept form (y=mx+b where m is slope and b is y-intercept).
3x-6y=20
Solve for y.
3x-6y=20
Subtract 3x on both sides:
-6y=-3x+20
Divide both sides by -6:
y=(-3/-6)x+(20/-6)
Reduce:
y=(1/2)x+(-10/3)
The slope is 1/2 and the y-intercept is -10/3.
2x-4y=3
Solve for y.
2x-4y=3
Subtract 2x on both sides:
-4y=-2x+3
Divide both sides by -4:
y=(-2/-4)x+(3/-4)
Reduce:
y=(1/2)x+(-3/4)
The slope is 1/2 and the y-intercept is -3/4.
The lines are parallel so they have no intersection. I know they are parallel because they have the same slope and different y-intercept.
The system is inconsistent because there is no solution.
Answer:
So what’s the question?
Step-by-step explanation:
46.100 jobs left in 2018
The sample size needed to obtain a margin of error of 0.05 for the estimation of a population proportion is 384.
Given margin of error of 0.05 and confidence interval of 95%.
We have to find the sample size needed to obtain a margin of error of 0.5 with confidence level of 95%.
Margin of error is the difference between real values and calculated values.
The formula of margin of error is as under:
Margin of error=z*σ/
where
z is the critical value of z for given confidence level
n is sample size
σ is population standard deviation
We have not given population standard deviation so we will use the following formula:
Margin of error=z*/
We have to find z value for 95% confidence level.
z value=1.96
We know that <=1/2
put =1/2
Margin of error=1.96*1/2/
0.05=1.96*0.5/
=0.98/0.05
=19.6
squaring both sides
n=384.16
After rounding off we will get
n=384.
Hence the sample size needed to obtain a margin of error of 0.05 is 384.
Learn more about margin of error at brainly.com/question/10218601
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Answer: A.
B. A'(5) = 1.76 cm/s
Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.
A. Area of a circle is given by
So to find the rate of the area:
Using
Then
Multipying and simplifying:
The rate at which the area is increasing is given by expression .
B. At t = 5, rate is:
At 5 seconds, the area is expanded at a rate of 1.76 cm/s.