Answer:
About 99.74% of the area is between z = -3 and z = 3
Step-by-step explanation:
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 pvalue, we get the probability that the value of the measure is greater than X.
Area between z = 3 and z = -3
pvalue of z = 3 subtracted by the pvalue of z = -3
z = 3 has a pvalue of 0.9987
z = -3 has a pvalue of 0.0013
0.9987 - 0.0013 = 0.9974
0.9974*100 = 99.74%
About 99.74% of the area is between z = -3 and z = 3
Answer:
12.5 miles
Step-by-step explanation:
-3,1 is 5 away from 2,1 so 2.5 times 5 equals 12.5
Answer:
It will take them 28 loads
Step-by-step explanation:
In this question, we are basically asked to divide both quantities and report the result
We divide
(61/3) / (3/4) = 244/9 = 27.11
It will take them 28 loads to haul all the cement in their pick up truck, which can carry 0.75 ton.
The options are incorrect.
Answer:
See attached graph.
Step-by-step explanation:
We can graph this with relative ease on the calculator or computer (see attachment) but let's make sure we understand it theoretically and algebraically!
y=|x - 4| + 2
First of all, this is an absolute value function, so it'll look like a v where every input equals its positive output (2, 2) (-3,3) etc. You can't get a negative number with a graph of y=|x| unless you translate it.
Next, there's a -4 inside the abs val. According to the formula y = |x - h| + k, where h is the horizontal shift, this means we need to shift the vertex right 4.
There's a +2 outside the abs val. K is the vertical shift, so we need to shift the vertex up 2.
Answer:
51 74
Step-by-step explanation:
x = smaller
x +23 = larger
added together (x + x+23) equal to 28 less than 3x = 3x-28
x + x+23 = 3x-28 subtract 2x from both sides of the equation
23 = x -28 add 28 to both sides
51 = x then the larger = 51 + 23 = 74
