Answer:
Step-by-step explanation:
Given that the number of children in a household has a binomial distribution with parameters n-8 and p-50%
As per binomial definition we have
=
a) P(x=3 or 7) = P(3)+P(7) = 0.2188+0.0313=0.2501
b) P(X≤5)=0.8555
c) P(X≥3)=0.8555
d) P(x<7) =0.9648
Note the improper fraction. Change it into a mixed fraction
3/2 = 2/2 + 1/2
2/2 = 1
5 + 1 1/2
Simplify.
5 + 1 = 6
6 1/2 is your answer
hope this helps
Answer:
y = 1/2x -1
Step-by-step explanation:
to find the y-intercept you find where the line crosses the y axis
for the slope you need to use the equation
change of y2 - change of y1
change of x2 - change of x1
Answer:
<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>
Step-by-step explanation:
The given function is f(x) = x⁴ - x³ -2x -4
factor the polynomial function
f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)
= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common
= (x² + 2 ) ( x² - x - 2)
= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)
Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)
(x² + 2)= (x + √2 i) (x - √2 i)
( x² - x - 2) = (x -2 ) ( x+1)
