Ans: 720
<span>This is equal to the number of different arrangements of three persons from a group of 10 persons </span>
Required number of ways = 10P3 = 720
OR can be solved in this way
select 3 runners (10C3 ways)
These 3 runners can be arranged in 3! ways
<span>Total = 10C3×3! = 720
</span>
Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.
30 tens = 30 x 10 = 300
300 ones = 300 x 1 = 300
300 is your answer
30 tens = 30 x 10 = 300
3 hundreds = 3 x 100 = 300
3 is your answer
<em>~Rise Above the Ordinary</em>
System of Linear Equations entered :
[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :
-6y + 5x = 7 -7y + 6x = 8
Solve equation [2] for the variable x
[2] 6x = 7y + 8
[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]
[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y
[1] y = - 2
// By now we know this much :
x = 7y/6+4/3
y = -2
// Use the y value to solve for x
x = (7/6)(-2)+4/3 = -1
