Answer: No, the normal curve cannot be used.
Step-by-step explanation:
The theorem of the Normal approximation states that if X is B(n,p) then for large n X is N(np, np(1-p)).
The accuracy of this approximation is good
i. for n > [10/p(1-p)]
ii. p is close to 1/2
Hence given p= 4% = 0.04,
q = 1 - 0.04 = 0.96
Let N = [10/p(1-p)]
We find N = 10/p(1-p) = 10/(0.04× 0.96)
N ~= 260
Since n < 260 and p < 0.5
The approximation is not a good one
Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
Writing an equation is the easiest way to figure this out.
b = boys, g = girlsb = 3/4g35 students = g + b35 = g + 3/4g35 = 7/4g35/7/4 = g20 girls35 - 20 = b or 3/4(35) = b15 boys
Answer:
y = 500x + 1000
Step-by-step explanation:
The standadrd equation of a line is expressed as y = mx+b
m is the slope
is the y-intercept
Using the coordinate points (0, 1000) and (6, 4000)
Slope = y2-y1/x2-x1
Slope = 4000 - 1000/6-0
Slope m = 3000/6
Slope m = 500
Since the line cut the y axis at y = 1000, hence the intercept b = 1000
Get the required equation;
Reall that y = mx+b
y = 500x + 1000
Answer:
Step-by-step explanation:
1:9:3
brian gets x
alex gets 9x
colin gets 3x
Brian and colin receive 40
x + 3x = 40
x = 10
alex gets 9x = £90
