Let one factor be x. Second factor is 11 less than half of this factor, so second factor will be (0.5x - 11). The product of these two factors is -36.
So,
If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2
So, there are two possible set of factors.
1) 4 and -92) -2 and 18From these -2 and 18 is available in the options. So this is the correct answer.
xBar ± z * sx / sqrt(n)
where xBar is the sample
mean
z is the zscore for having
α% of the data in the tails, i.e., P( |Z| > z) = α
sx is the sample standard
deviation
n is the sample size
For sample size
calcualtions we need the following. The width of the interval, from one end
point to the center is:
z * sx / sqrt(n) =
w and solving for n gives:
<span> n = (z * sx / w) ^ 2 </span>
remember that n needs to
be an integer. Always take the ceiling, i.e., round up. If you round down then
the width of the interval will not be correct, it will be too wide. By rounding
up, the interval will be more narrow than asked for, but this is a good thing.
It means there is more precision in the estimate.
<span> here we have </span>
z = 2.05
w = 0.04 * 152 = 6.08
n = (z * sx / w) ^ 2 n =
(2.05 * 26 / 6.08)^2
n = 76.8506
Round of the answer since
n must be an integer.
<span>n = 77 </span>
I think what u would do is multiply the forth thing by 2 and then count how many blocks are in the 5th :)))
To find the simplest ratio, you must find the largest number they can both be divided by (greatest common factor, or GCF). However, 67 is a prime number, meaning its only factors are 67 and 1. That means there are no GCFs here other than 1, so, the simplest ratio here would be 33 over 67, or 33/67 in computer text. easy peasy!
