Answer:
it's option A .............
Answer:
Rational:
Square root of 81
2 1/3
3.4
-9
- 3/10
Irrational:
3.3333333...
Step-by-step explanation:
Rational numbers terminate or end, irrational don't.
Answer:
So the Point of intersection is (-4,-2)
Which is option A
Step-by-step explanation:
The given system of equations is
-0.1x - 0.8y = 2 ...................(i)
0.6x - 0.5y = -1.4 ...................(ii)
Let us take equation (i) and use method of substitution for solving it
the equation (i) is
-0.1 x - 0.8y = 2
Adding 0.8y on both sides
-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y
-0.1 x = 2 + 0.8 y
Dividing both sides -0.1

x = -8 y - 20 ..........................(iii)
Now we will use this value and put it into equation (ii) to find the value of y
Equation (ii) is
0.6 x - 0.5 y = -1.4
Put value of x
0.6(-8 y - 20) - 0.5 y =-1.4
It becomes
-4.8 y - 12 - 0.5 y = -1.4
adding 12 on both sides
-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12
it becomes by solving
-5.3 y = 10.6
Dividing both sides by -5.3

So
y = -2
Now we have the value of y putting it in equation (iii)
Equation (iii) is
x = -8 y - 20
Putting value of y
x = -8*(-2) - 20
x = 16-20
x=-4
So the Point of intersection is (-4,-2)
Answer:
The expression is 
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
The margin of error is of:

90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?
We have to find n for which M = 0.03.
We have no prior estimate for the proportion, so we use
. So






The expression is 
Answer:
A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. For example, the absolute values of 4 and -4, or |4| and |-4|, are both 4.
Step-by-step explanation: