<span>In a normal distribution 68.27% of the values are within one standard deviation from the mean, 95.5% of the values are within two standard deviations from the mean, and 99.7 % of the values are within three standard deviations of the mean
With that you have the answer to the three questions:
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<span>a. significantly high (or at least 2 standard deviations above the mean).
99.5% of the values are within 2 standard deviations from the mean, half of 100% - 95.5% = 4.5% / 2 = 2.25% are above the mean, so the answer is 2.25%
b. significantly low (or at least 2 standard deviations below the mean).
The other half are below 2 standard deviations, so the answer is 2.25%
c. not significant (or less than 2 standard deviations away from the mean).
As said, 95.5% are within the band of two standard deviations from the mean, so the answer is 95.5%.
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Answer:
=19.66
Step-by-step explanation:
y=mx+b with m=-4/3 ;x=8 and y=9
9=-4/3×8+b
9=-32/3+b
9+32/3=b
b=19.66
Answer:
+4.245
Step-by-step explanation:
Before you can find the square root of x^2, you have to EVALUATE
64+49-2(8)(7)cos32, and THEN take the square root of the result:
64+49-2(8)(7)cos32 = 64 + 49 - 112(0.848) = 113 - 94.981 = 18.019
Then x^2 = 18.019.
Find the square root of 18.019: It is +4.245. A negative result here would make no sense.
9514 1404 393
Answer:
3125
Step-by-step explanation:
Your calculator can help with this.
5⁵ = 5×5×5×5×5 = 3125
The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.
(3x + y = -4)
-(3x -4y = 6)
Distribute the negative:
(3x + y = -4)
(-3x + 4y = -6)
Now add the equations together term by term:
0x + 5y = -10
5y = -10
y = -2
Plug y = -2 into either equation to find x.
3x + (-2) = -4
3x = -2
x = -2/3
So the answer as an ordered pair is (-2/3, -2)
