Answer:
0.933 ; not independent
Step-by-step explanation:
Given :
A - made from natural polished wood
B - made from chrome accent
P(A) = 0.9
P(B) = 0.75
P(AnB) = 0.7
1.) probability of natural wood Giveb that it has chrome accent
P(A|B) = P(AnB) / P(B)
P(A|B) = 0.7 / 0.75
P(A|B) = 0.933
2.)
For an independent event :
P(AnB) = p(A) * p(B)
P(AnB) = 0.9 * 0.75 = 0.675
However, p(AnB) Given here is 0.7, thus the event aren't independent
Step-by-step explanation:
S = 93 log (d) + 65; S = wind speed; d = distance traveled by tornado
A) tornado travels 130 miles = d; find S
S = 93 log10(130) + 65
S = 261.6 mph rounds up to 262 mph
Answer:
8 gallons were eaten.
Step-by-step explanation:
You would multiply the percentage by the amount of gallons. So 80% would be 0.8 so it would be 0.8 multiplied by 10 which gives you 8.
Answer:
You use 6 gallons of water per minute.
Explanation:
If you use 36 gallons in 6 minutes then you need to divide 6 by 36. 36/6=6. That would mean you use 6 gallons per minute.
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
