Answer:
x=11
Step-by-step explanation:
We know that the angle is equal to 1/2 the difference of the long arc length between where the line segments touch the circle and the small arc length where the line segments touch the circle
They long distance is 360 - (86+74) = 200
The small distance is 86
4x+13 = 1/2 ( 200 - 86)
4x+13 = 1/2 (114)
4x+13 = 57
Subtract 13 from each side
4x+13-13 = 57-13
4x= 44
Divide by 4
4x/4 = 44/4
x=11
Answer:
The positive value of
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let
, roots are those values of
so that
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:


The smaller root is
, and the larger root is
.
has one real root when
. Then, we solve the discriminant for
:


The positive value of
will result in exactly one real root is approximately 0.028.
Answer:

Write the above equation in capital in your case, all you need to do is plug in your fractions...
Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if
and
then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p