<span>
Based on the rules of statistics</span>
68% of the data falls within 1 standard deviation of the mean
95% of the data falls within 2 standard deviation of the mean
99% of the data falls within 3 standard deviation of the mean
20 falls between the range of -56 to 56 (from the given 95%)
Hence we accept the null hypothesis; else, if the mean falls outside the
range, we reject the null hypothesis.
<span> </span>
Answer:
RS = 2
Step-by-step explanation:
Points R, S, and T are collinear, and S is between R and T, in addition, RS = 2x-4, ST = 3x+2, and RT = 13. Find the value of RS
Hence:
RS + ST = RT
2x - 4 + 3x + 2 = 13
2x + 3x - 4 + 2 = 13
5x - 2 = 13
5x = 13 + 2
5x = 15
x = 15/5
x = 3
To find the value of RS
RS = 2x-4
RS = 2 × 3 - 4
RS = 6 - 4
RS = 2
If 2 Lines are crossing together to make 2 pairs of Vertical Angles, the sum of all 4 Angles will always be equal to 360°.

We effectively rewrite the equation as

In order for the LHS to be defined, we need to restrict
, or
. Now, the LHS will vanish when the numerator is 0, which happens for

This value is indeed smaller than 4, so the solution is
.
This is a geometric sequence with a common ratio of 2
an = a1 * r^(n - 1)
n = term to find = 21
a1 = first term = 0.05
r = common ratio = 2
now we sub
a21 = 0.05 * 2^(21 - 1)
a21 = 0.05 * 2^20
a21 = 0.05 * 1048576
a21 = 52428.80 <==== after working 21 days