6th grade math please help me in all 10 questions.
2 answers:
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The equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3) in slope intercept form is
Given that a line is parallel to line x + 5y = 10 and passes through the point (1, 3)
We have to find the equation of line
<em><u>The slope intercept form is given as:</u></em>
y = mx + c -------- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
<em><u>Let us first find the slope of line</u></em>
Given equation of line is x + 5y = 10
On comparing the above equation of line with slope intercept form,
We know that slopes of parallel lines are equal
So the slope of line parallel to given line is also
<em><u>Let us find the equation of line with slope m = -1/5 and passes through the point (1, 3)</u></em>
<em><u>Thus the required equation is:</u></em>
Thus the required equation of line is found
Answer:
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Step-by-step explanation:
We have the standard deviation for the population, so we can use the normal distribution. If we had the standard deviation for the sample, we would have to use the t-distribution.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 30 - 1.68 = 28.32 characters.
The upper end of the interval is the sample mean added to M. So it is 30 + 1.68 = 31.68 characters.
The 80% confidence interval for the population mean is between 28.32 characters and 31.68 characters.
Answer: 48
Step-by-step explanation:
