For a binomial experiment in which success is defined to be a particular quality or attribute that interests us, with n=36 and p as 0.23, we can approximate p hat by a normal distribution.
Since n=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77
therefore,
n*p= 36*0.23 =8.28>5
n*q = 36*0.77=27.22>5
and therefore, p hat can be approximated by a normal random variable, because n*p>5 and n*q>5.
The question is incomplete, a possible complete question is:
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
Suppose n = 36 and p = 0.23. Can we approximate p hat by a normal distribution? Why? (Use 2 decimal places.)
n*p = ?
n*q = ?
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Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form: y=mx+b
point a: (1, 1)
point b: (2, 3)
1. Find the slope of the equation
Equation for slope(mx): (y2- y1)/ (x2-x1)
(3-1)/(2-1)= 2
slope: 2
2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.
point a: y=1, x=1
y=mx+b
1=2(1) + b
b= -1
3. Plug the answers you found above into the slope-intercept form
Overall equation:
y=2x - 1
Answer: .The graph is a line that rises steeply from left to right and passes through the origin. 2.The graph is a line that rises gradually
Step-by-step explanation: hope tha help
Let x be the length of the rug
Area = length x width
122.12 = (x)(8.7)
x = 122.12/8.7
= 14.04 feet
1)
45x^3+5x
the GCF is 5x because that is a factor of both.
The answer would be 5x(9x^2+1)
2)
u^2-5u+6
factoring is finding what multiplies to the last number to add to the middle number. Those numbers are -3 and -2.
the answer would be (u-3)(u+2)
3)
m^2-49
difference of perfect squares
answer is (m+7)(m-7)
4)
x^5+4x^4+3x^3
GCF is x^3 so it's x^3(x^2+4x+3)
Factor that and it's x^3(x+3)(x+1)
