Answer:
Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.
Step-by-step explanation:
The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.
His claim is resonable 154/25=6 r4 6x2=12
Yes
you let u = sin-1 x and dv = 1 ( so v = x)
and use the rule
INT udv = uv - INT vdu
= x sin^-1 x - INT x sin-1 x
u = sin-1 x so x = sin u
dx/du = cos u , du/dx = 1 / cos u = 1 / sqrt(1 - sin^2) = 1 / sqrt (1-x)^2
so substituting we have
INT sin-1(x) = x sin-1x - INT ( x / sqrt(1- x^2)
= x sun-1 x - ( - sqrt (1 - x^2)
= x sin-1 x + sqrt(1 - x^2) + C
Answer:
Average rate of change for the number of African American women who held office at any given time between 1970 & 1993 is 94.43.
Step-by-step explanation:
Here, according to the question:
Number of African American women in elected public office in the United States in the year 1970 = 160
Number of African American women in elected public office in the United States in the year 1993 = 2332
Now, the change in the number of elected women between 1970 & 1993
= Women elected in the year 1993 - Women elected in the year 1970
= 2332 - 160 = 2,172
or, the change in the number of elected women candidates between 1970 & 1993 is 2,172
Now, the difference in the time period is 1993 - 1970 = 23 years
So, 
Hence, the average rate of change for the number of African American women who held office at any given time between 1970 & 1993 is 94.43.
Answer:
5.77% probability of being correct 14 or more times by guessing
Step-by-step explanation:
For each time the coin is tossed, there are only two possible outcomes. Either the person predicts the correct outcome, or she does not. The probability of predicting the correct outcome in a toss is independent of other tosses. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A coin is tossed 20 times.
This means that 
Fair coin:
Equally as likely to be heads or tails, so 
What is the probability of being correct 14 or more times by guessing

In which








Then

5.77% probability of being correct 14 or more times by guessing