Answer:
And rounded up we have that n=115
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by
and
. And the critical value would be given by:
Solution to the problem
The margin of error for the proportion interval is given by this formula:
(a)
The proportion of defectives is estimated as:
. And on this case we have that the margin of error is
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=115
Answer: area
Step-by-step explanation:
Area is solved with L * W
Volume is solved with L * W * H
Using these formulas we can see that area uses 2-dimensions, the length and the width, while volume uses 3.
Answer:
4
Step-by-step explanation:
Significant figures are whole numbers, without any decimals, the four numbers are therefore significant.
Answer:
Step-by-step explanation:
This is calculus, but I don't get fractions in the end. To maximize or minimize any function, you need to find the derivative of it, set it equal to 0, then solve for the critical values.
Our given equation is
x + y = 215 and we want to maximize the product, xy. Therefore,
y = 215 - x so its product in terms of x is
x(215-x) which is
. The derivative of this is
215 - 2x. Set it equal to 0 to maximize it.
215 - 2x = 0 so
-2x = -215 and
x = 107.5.
Sub this in to solve for y:
y + 107.5 = 215 and
y = 107.5
The product is 11556.25, not that you need it.
Use the pythagorean theorem a.k.a

c is the hypotenuse while a & b are the legs


subtract 225 from 289

square root both b and 64
the other leg is equal to 8