Answer:
There are infinitely many solutions. Start with five data, in size order: a < b < c < d < e. Then c=11, the median. To get the mode of 12, we must have d=e=12. Thus far, we have (a+b+11+24)/5 = 10 the mean. But now we have run out of requirements, and we still have two unknowns. They satisfy a+b+35 = 50. Thus, pick any two values a not equal to b that add to 15 and are both less than 11.
The full set of solutions are points (a,b) run along a line joining the points (4,11) and (11,4) on graph paper, except (7.5, 7.5) and the endpoints. That would make competing modes. Try a=5.6 and b = 9.4 for instance!
Answer:
y = x
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-8 - 0) / (-8 - 0)
-8 / -8
= 1
So, the slope is 1.
Plug in the slope and a point into y = mx + b and solve for b:
y = mx + b
-8 = 1(-8) + b
-8 = -8 + b
0 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = 1x + 0
y = x
So, the equation of the line is y = x
Answer:
2.06 is smallest ans 2.9 is largest
Answer:
A. 0.0001
Step-by-step explanation:
z-statistic:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
The value of the z-statistic is z = 3.74.
The desired probability is 1 subtracted by the pvalue of z = 3.74.
z = 3.74 has a pvalue of 0.9999
Then
1 - 0.9999 = 0.0001.
So the correct answer is given by option A.
<span>-10=xy+z
-10 - z = xy Divide both sides by y
(-10 -z) / y = x
x = -(z+10)/y
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