Answer: 10773
Step-by-step explanation:
.75^10=0.0563
look at 8, 9, 10
8 the probability is 10C8*0.75^8*0.25^2=0.2816
9 the probability is 0.1877 using the same approach
At least 8 is 0.5256
At most 4 is
0 .25^10=essentially 0
1: 10C1*0.75*0.25^9=<0.0001
2: 45*0.75^2*0.25^8=0.0004
3: 120*0.75^3*0.25^7=0.0031
4: 10C4*0.75^4*0.25^6=0.0162
That sum is 0.0197
Answer:
Step-by-step explanation:
f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4
Step 1. Calculate the difference between the functions
(a) Write the two functions, one above the other, in decreasing order of exponents.
ƒ(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
(b) Create a subtraction problem using the two functions
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x)=
(c). Subtract terms with the same exponent of x
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x) = 4x³ + 2x² + 2x
Step 2. Factor the expression
y = 4x³ + 2x² + 2x
Factor 2x from each term
y = 2x(2x² + x + 1)
Answer:
y = 1/3x
Step-by-step explanation: