A bag contains red and blue pens in the ratio 2:7. There are 18 red pens in the bag. How many blue pens are in the bag?
2 answers:
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Answer:
1,082
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by
where
z = 1.645 is the critical value for a 90% confidence level (*)
s = 2 is the estimated population standard deviation
e = 0.1 mm points is the margin of error
so
rounded up to the nearest integer.
So the manufacturer should test 1,083 parts.
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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1
It can be obtained in Excel with
NORMINV(1-0.05,0,1)
and in OpenOffice Calc with
NORMINV(1-0.05;0;1)
The given equation is :
1. The relationship such that dependent variable (y) is isolated is :
2. The table accompanying this equation :
- x = -4 and y = 0.5
- x = -1 and y = 2
- x = - 0.5 and y = 4
- x = 0 and y = undefined
- x = 0.5 and y = -4
- x = 1 and y = -2
- x = 4 and y = -0.5
3. graph of the given equation is in attachment ~
Answer:
Step-by-step explanation:
We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).
Note that x=1 is a <em>vertical line </em>since x is 1 no matter what y is.
This means that if our new line is perpendicular to the old, then it must be a <em>horizontal line</em>.
So, since we have a horizontal line, then our equation must be our y-value of our point.
Our y-coordinate of our point (8,-9) is -9.
Therefore, our equation is:
And this is in standard form.
And we're done!