Approximately 68% of a normal distribution lies within one standard deviation of the mean, so this corresponds to students with scores between (57.5 - 6.5, 57.5 + 6.5) = (51, 64)
The plane has intercepts in the 
plane at (4, 0, 0) and (0, 1, 0), so the flux is given by (via the divergence theorem)
Answer: bob will take a while
Step-by-step explanation:
Answer:
x=2, y=3.
Step-by-step explanation:
0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
From the first equation y = (1.3 - 0.2x) / 0.3
Substituting in second equation:
0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3
Multiply through by 0.3:
0.12x + 0.5(1.3 - 0.2x) = 0.69
0.12x + 0.65 - 0.1x = 0.69
0.02x = 0.04
x = 2.
Substituting for x in equation 1:
0.2* 2 + 0.3y = 1.3
0.4 + 0.3y = 1.3
0.3y = 1.3 - 0.4 = 0.9
y = 3.
Check in equation 2:
0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.
- Correct.
<u>Answer:</u>
If PQ=RS then PQ and RS have the same length. Hence option D is correct
<u>Solution:</u>
Given that, pq = rs
And, we have to find which of the given options are true.
<u><em>a) pq and rs form a straight angle
</em></u>
We can’t decide the angle in between pq and rs just by the statement pq = rs.
So this statement is false.
<u><em>b) pq and rs form a zero angle.
</em></u>
We can’t decide the angle in between pq and rs just by the statement pq = rs.
So this statement is false.
<u><em>c) pq and rs are same segment.
</em></u>
If two things equal then there is no condition that both represents a single item.
So this statement is false.
<u><em>d) pq and rs have the same length
</em></u>
As given that pq = rs, we can say that they will have the same length
Hence, option d is true.
