2x^2(4x+5) + 5(4x+5)
(2x^2+5(4x+5)
You have to use your standard normal table (or calculator) for these. The area under the curve should be 1, a z-value corresponds to the probability and is area to the left of that z.
a. A simple reverse lookup of 0.9750. z=1.96
b. Total area up to z would be 0.5+0.4750, so reverse look up 0.9750 and find z=1.96
c. A simple reverse lookup. z=0.61
d. Area to the left of z would b 1-0.1314, so lookup 0.8686 and find z=1.12
e. A simple reverse lookup. z=0.44
f. Just invert the area: 1-0.33 = 0.67 and reverse lookup: z=0.44
-multiplicity: the number of times a particular number is a zero for a given polynomial
-affects shape of graph
-odd multiplicity: crosses x axis at root
-even multiplicity: touches x axis at root but doesn't cross it
Answer:
8x(10)^9 - 2 x (10)^1
1x(10)^3 - 9 x (10)^2
Step-by-step explanation:
3.1 X (10)^4- 6.5 X (10)^2
= 31000- 650
= 30,350
For greater number
_x10^blank - _ x 10^_
8x(10)^9 - 2 x (10)^1 ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)
= 8,000,000,000 -20
= 7,999,999,980
For smaller number
_x10^blank - _ x 10^_
1x(10)^3 - 9 x (10)^2 ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next smaller for the smallest difference)
= 1000- 900
= 100
We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.
Add the two equations:
2x + 4y = 16
-2x - 3y = -6
2x + -2x = 0
4y -3y = y
16-6 = 10
When you add the equations you get y = 10
Now you have a value for y, use the first equation to solve for x:
2x + 4(10) = 16
2x + 40 = 16
Subtract 40 from both sides:
2x = -24
Divide both sides by 2
X = -12
Answer: x = -12 and y = 10
