Answer:
x =12
Step-by-step explanation:
We can use the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
16^2 + x^2 = 20^2
256 +x^2 = 400
Subtract 256 from each side
256-256 +x^2 = 400-256
x^2 =144
Take the square root of each side
sqrt(x^2) =sqrt(144)
x = 12
Answer:
t = 2.817
Step-by-step explanation:
The test statistic for testing a claim that the population mean IQ of statistic instructors is greater than 110 will be the student's t test statistic since;
The sample data appear to come from a normally distributed population and the the population standard deviation is not know.
The following information has been availed;
The sample size = n = 15
The sample mean of IQ scores = 118
The sample standard deviation = s = 11
The following hypothesis is to be tested;
Null hypothesis : Population mean = 110
Alternative hypothesis : population mean > 110
The test statistic is determined through the standardization of the sample mean;
t = 2.8167
You could do V = b × H 2 × 11 = 22
There are many reasons one may want to simplify, rearranging to find specific values - or maybe just making it simpler
Well, let's do some examples:
y(x(3+2)) +2 = -2y +2 <span>< I just made this one up, it looks really complicated right now, none the less it can be simplified easily
</span>y(3x+2x) + 2 = - 2y +2
3xy + 2xy + 2 = -2y +2
5xy + 2 = -2y +2 <-- the +2's dissapear because they cancel out
5xy = -2y
<span>And there we have it, that long expression has been simplified to something really simple.
</span>
Another example:
3(4(x+3(2 +z)) - 5)= 3y <span><- you can start where ever, I like starting in the middle
</span>3 * (4 * (x + 3*(2 + z)) - 5 ) = 3y <span><- here it is spaced out, we get a much better view
</span><span>3 * (4 * (x + 6 + 3z) - 5 ) = 3y</span>
3 * (4x + 24 + 12z - 5) = 3y <- divide both sides by 3 ..
4x + 24 + 12z - 5 = y <- much better
<span>
</span>Note: Simplify means solving to a degree, but you can't solve it because it has unknowns