Answer:
Option A is correct
the expression is equal to 
is 
Explanation:
Given expression is,
Multiply and divide by the denominator by 
in the given expression, we have,
or
use : 
then;
Therefore, the expression is equal to is,
Answer: There are 1,816,214,400 ways for arrangements.
Step-by-step explanation:
Since we have given that
"REPRESENTATION"
Here, number of letters = 14
There are 2 R's, 3 E's, 2 T's, 2 N's
So, number of permutations would be
Hence, there are 1,816,214,400 ways for arrangements.
Given the frequency table on the relationship between red hair and green eyes.
Green Eyes Eye Color other than Green Total
Red Hair 18 29 47
Hair Color
other than 114 650 764
Red
Total 132 679 811
The relative frequency table is obtained from a frequency table by dividing each entry of the requency table by the overall total of the frequency table.
The relative frequency table of the frequency table above is given below.
Green Eyes Other Eye Color Total
Red Hair 18/811 = 0.02 = 2% 29/811 = 0.04 = 4% 47/811 = 0.06 = 6%
Other Hair
Color 114/811 = 0.14 = 14%|650/811 = 0.80 = 80%|764/811 = 0.94 = 94%
Total 132/811 = 0.16 = 16%|679/811 = 0.84 = 84%|811/811 = 1.0 = 100%
Given that x is the relative frequency of people that have other hair color and have green eyes, thus, the value of x is 14%.
Therefore, <span>the value of x in the table = 14%.</span>
Answer:
c is all the points in the open interval (0,25)
Step-by-step explanation:
Here given is a function
, which is continuous in the interval [0,25] and differentiable in (0,25)
Mean value theorem says there exists at least one c in the interval (0,25) such that
We have
For the given function
Hence we have c equals all the points in the open interval (0,25)
9514 1404 393
Answer:
B. 50
Step-by-step explanation:
The alternate interior angles at transversal t across parallel lines AB and CD will be congruent.
2x +40 = x +90
x = 50 . . . . . . . . . . . subtract x+40
The value of x is 50.
_____
<em>Check</em>
2x+40 = 2×50 +40 = 140
x+90 = 50 +90 = 140 . . . . so the obtuse angles are congruent, as they should be
___
<em>Additional comment</em>
The lines AB and CD are not shown as being parallel. We have to assume they are, or we cannot work the problem.
