Is 2/3 bigger than 3/5
2 answers:
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Answer:
Part A) Barbaroid will be executed
Part B) 75 more globin soldiers
Step-by-step explanation:
The army sizes of ORC leaders are
normally distributed with a mean of 5600 goblin soldiers and a standard deviation of 750 goblin soldiers.
The rule is that, if an Orc Leader shows up with an army of a z-score lower than
-1.5, he is immediately executed.
We want to determine whether Lord Barbaroid, an Orc Leader, who appears with an army of 4400 goblin soldiers,
based on the Orc Rule, will he be executed or not.
We find the z-score corresponding to 4400 using
We substitute x=4400 , the standard deviation and the mean to get:
Since Lord Barbaroid's z-score , -1.6 is less than -1.5 he will be executed.
Part B)
We want to find how many more goblin soldiers Lord Barbaroid have needed in order to NOT be executed and meet that Z-Score.
So we need to find the number of globin soldiers that corresponds to -1.5.
Therefore Barbaroid needed 4475-4400=75 more globin soldiers.
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
The graph is attached.
Both equations are in slope-intercept form:
y = mx +b . . . . . . line with slope m and y-intercept b
The graph of the first equation intersects the y-axis at +3, and has a slope (rise/run) of -1/2. That is, it decreases 1 unit for each 2 units to the right.
The graph of the second equation intersects the y-axis at -4, and has a slope of +3. It will increase 3 units for each unit to the right.
The point of intersection of the graphed lines is (2, 2).
The solution is (x, y) = (2, 2).
Area is a squared measure of the one-to-one measure of the figures. If the surface areas of the figures, from smaller to larger, are 36 and 49, by taking the square roots of those numbers, you get the perimeter measure of the figures, which is the one-to-one measure. The square root of 36 is 6, and the square root of 49 is 7. Now, in order to find the ratio of the volumes smaller to larger, we take that one-to-one measure and cube it, since volume is a cubed measure. We will set up the proportions to find the cubed measures first. My proportion will be set up with the smaller figure's info on top and the larger figure's info on bottom: . Those are the cubed ratios. Now we will set up our equation to solve for the volume of the larger:
. Now we can cross-multiply to solve for x, the volume of the larger figure. 216x = 222264. Dividing both sides by 216 gives us a volume for the larger figure of 1029 inches cubed. There you go!