Answer:
The sum of the first 47 terms of the given series = 6016
Step-by-step explanation:
Given the sequence
13, 18, 23, ...
An arithmetic sequence has a constant difference 'd' and is defined by
As the difference between all the adjacent terms is the same.
so
Arithmetic sequence sum formula
Put the values
Thus, the sum of the first 47 terms of the given series = 6016
Answer:
( -1 , 0.5)
Step-by-step explanation:
Mean = 0.497 in, SD = 0.003 in
Required diameter ranges between 0.496 in and 0.504 in
Anything other diameter obtained is not acceptable.
That is;
P(x<0.496) and P(x>0.504) are not acceptable.
Now,
P(x<0.496) = P(Z< (0.496-0.497)/0.003)) = P(Z<-0.33)
From Z tables, P(Z<-0.33) = 0.3707
Similarly,
P(x>0.504) = P(Z> (0.504-0.497)/0.003)) = P(Z>2.33)
From Z tables, P(Z>2.33) = 1-0.9901 = 0.0099
Therefore, unacceptable proportion = P(x<0.496)+P(x>0.504) = 0.3707+0.0099 = 0.3806 or 38.06%
Answer:
x = 1, -2/7
Step-by-step explanation:
You could use the quadratic equation but this can be factored into
(7x + 2) (x - 1). You can verify that by multiplying it out.
Since (7x + 2) (x - 1) = 0, if either factor is 0 then the equation would be equal to 0, thus we get x = 1, -2/7
Answer:none
Step-by-step explanation:
Because they are all straight angle line
Y=2x —> positive line
Y=2-x —> negative line
Y=x2-2 —> positive line
Y=-2x —> negative line
You can also check this at desmos
