Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
Answer:
-0.05
Step-by-step explanation:
This will become much easier if we can get the ugly decimal into a nice fraction form.
Start by recognising . This is almost correct except the fraction is out by some number of factors of 10 (because the 125 part is correct but the number of 0s isn't).
And hence we see that and now the cube root becomes easy to compute:
.
Advanced: You ask for <em>all </em>real cube roots. however the function is described as <em>bijective</em>. This means for all x, there is only one y corresponding to it. (And also for all y there is only one x corresponding to that). This means there can only ever be one cube root of any real number.
Answer:
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
We need a sample size of at least n, in which n is found M = 0.04.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.