Answer:
Yes, the normal curve can be used as an approximation to the binomial probability.
Step-by-step explanation:
Let <em>X</em> = number of students that pass their college placement exam.
The probability that a given student will pass their college placement exam is, P (X) = <em>p</em> = 0.53.
A random sample of <em>n</em> = 127 students is selected.
The random variable <em>X</em> follows a Binomial distribution.
But the sample size is too large.
A Normal approximation to Binomial can be used to approximate the distribution of proportion <em>p</em>.
The conditions to be satisfied are:
- <em>np</em> ≥ 10
- <em>n</em>(1-<em>p</em>) ≥ 10
Check whether the conditions are satisfied as follows:
Both he conditions are satisfied.
Thus, a normal curve can be used as an approximation to the binomial probability.
We know the radius of the circle is 4mm. And pi is 3.14 the formula is A=pi(r)2 so 3.14(4)^2= 50.24 and that's your final answer. (C)
Hope it helps :)
Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
_____
The graph shows the original points and the line through them in red, and the dilated points and line in green.
5r= T (total)
and r is of course movie posters.
Answer:
F(x)>0 over the intervals (-infinate, -2.5) and (-0.75, 0.75)
Step-by-step explanation:
hope this helps
