Answer:
75
Step-by-step explanation:
Answer:
155 women must be randomly selected.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such
In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be 28 lbs.
This means that 
We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?
This is n for which M = 3.7. So






Rounding up:
155 women must be randomly selected.
Answer:x = 12
because RHMO is a rhombus => MH⊥RO
=> m∠3 = 90°
⇒ 8x - 6 = 90°
⇔ 8x = 96
⇔ x = 96/8 = 12
Step-by-step explanation:
Answer:
The common difference is 1/16
Step-by-step explanation:
The given sequence is linear. This means that it is an arithmetic sequence. In an arithmetic sequence, each successive term differ by a common difference. The given set of numbers is
1/4, 5/16, 3/8,....
The second term - the first term = the third term - the second term
The common difference would be
5/16 - 1/4 = 3/8 - 5/16 = 1/16