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Question:
Select expression that is mathematically equivalent to

a) 
b) 
c) 
d) 
Answer:

Step-by-step explanation:
Given

Required
Determine its equivalent
Start by writing y - z in bracket;

becomes

When - is used as divide, it is equivalent to /
The given expression can then be rewritten as

Hence;
<em />
<em> is equivalent to </em>
<em />
Answer: -2.10
Step-by-step explanation:
Given : 

Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean :-

i.e. 
Hence, the value of the test statistic = -2.10
If two lines are perpendicular, then their slopes have a product of -1 or you could say they are opposite signed reciprocals of each other.
The given equation has a slope of -3. We know this because it is in slope-intercept form y = mx + b ...y = (slope)x + (y-intercept).
so taking the slope -3...the opposite signed reciprocal would be +

Now we have a slope and a point... we can use them to find the b (y-intercept)
x = 4, y = 3, and m =



Using the common denominator fraction for 3, we subtract 4/3 from both sides


plug the values for m and b into the slope intercept form
50 is the value cause 20 is 40 of the percent, 20+20 is 40 now you made it into 80%.20% is remaining so add 10.