Answer:
the answer is 6x.
Step-by-step explanation:
3 divided by 8 = 0.375
0.375 x 100 = 37.5%
37.5% is closest to 38%
<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:
</span>
<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%.
</span>
Mixture problem.
Ratio of 20% : 50% acids
=50-39 : 39-20
=11:19
total volume
=400L
vol. of 20% acid=400*(11/(11+19)=400*(11/30)=146.667 L
vol. of 50% acid=400*(19/(11+19)=253.333 L
Alternatively, use c=volume of 20%, d=vol of 50%
then
0.2c+0.5d=400*0.39
Since c+d=400, we have
0.2c+0.5(400-c)=400*0.39=156
solve for c:
0.3c=44
c=146.667 and d=400-c=253.333 as before.
Answer:
Step-by-step explanation:
We assume the given sum is the sum of interior angles of a triangle, so is equal to 180°.
48° +X +(X -44°) = 180°
2X +4° = 180° . . . . . . . . . . collect terms
X +2° = 90° . . . . . . . . . . . .divide by 2
X = 88° . . . . . . . . . . . . . . . subtract 2°
Then the other interior angle is ...
(X -44°) = 88° -44° = 44°
The unknown interior angles are ...
