Answer:
x=-4/5
Step-by-step explanation:
8/20=x/-2
simplify 8/20 into 2/5
2/5=x/-2
cross product
5*x=-2*2
5x=-4
x=-4/5
<h3>
Answer:</h3>
y = (x +2)(x -1)(x -3) . . . . or . . . . y = x³ -2x² -5x +6
<h3>
Step-by-step explanation:</h3>
The graph shows y=0 at x=-2, x=1, and x=3. These are called the "zeros" or "roots" of the function, because the value of the function is zero there.
When "a" is a zero of a polynomial function, (x -a) is a factor. This means the factors of the graphed function are (x -(-2)), (x -1) and (x -3). The function can be written as the product of these factors:
... y = (x +2)(x -1)(x -3) . . . . . the equation represented by the graph
Or, the product can be multiplied out
... y = (x +2)(x² -4x +3)
... y = x³ -2x² -5x +6 . . . . . the equation represented by the graph
We need to write the following expression and solve for x:
9/18 = 100/x
So: 9x = 1800
x = 200
So it would take him 200 minutes to deliver 100 papers.
We do the same for 72 papers
9/18 = 72/x
so 9x = 1296
and x = 144
It would take him 144 minutes to deliver 72 papers.
Answer:
2 proportions z test
The two populations are named as residents from the first county and residents from the second county.
Step-by-step explanation:
This is testing hypothesis about the difference between two proportions.
When the proportions are tested if they are the test statistic
z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂
where p^1 is the proportion of success in the first sample and p^2 of size n₁ is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.
When the sample sizes are sufficiently large
z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.
The two populations are named as residents from the first county and residents from the second county.
