Answer:
The system has no solution
Step-by-step explanation:
we have
----> equation A

isolate the variable y

Divide by 3 both sides
----> equation B
Compare equation A and equation B
Their slopes are equal and their y-intercepts are different
Remember that
If two lines have the same slope, then the lines are parallel
In this problem we have two different parallel lines, so, the lines don't intercept
therefore
The system has no solution
Yes I can, MissSmartiez at your service ;)!
This calls for the distributive property. Distributive property, essentially, takes the outside value (in this case 4) and multiply it to the inside value(s) (in this case 2x and [+]3) Thus, it's basically 4 * 2x + 4 *3.
4 multiplied by 2x is 8x.
4 times 3 is equivalent to 12.
Therefore the solution is 8x + 12.
Answer: 11/30
Step-by-step explanation:
11 girls out of 30 kids. 11/30 cannot be simplified.
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271
There is no slope
y - 3 = 0
+3 +3
y = 3
slope = zero