<span>Answer: - (1/2)x + 2
Solution:
1) Table
</span>
<span><span>
</span><span><span>
x
y
</span>
<span>
-2
3
</span>
<span>
0
2
</span>
<span>
4
0
</span>
<span>
6
-1
The first thing that you must probe is whether the relation is linear.
When the relation is linear the rate of change is constant.
The rate of change is Δy / Δx
2) Let's calculate that rate for all the points given:
</span></span></span><span><span>
x
y
</span>
-2
3
<span>
0
2
</span>
<span>
---> Δx = 0 -(-2) = 2, Δy = 2 - 3 = - 1 => Δy / Δx = - 1/2
4
0
---> Δx = 4 - 0 =4, Δy = 0 - 2 = -2 => Δy / Δx = -2/4 = - 1/2
</span>
<span>
6
-1</span></span> ---> Δx = 6 - 4 = 2, Δy = - 1 - 0 = -1 => Δy / Δx = - 1/2
<span> </span>
So, we have shown that the relation is linear.
3) Now, you can use the equation of the line: y = mx + b, where m is the slope (rate of change Δy / Δx) and b is the y-intercept.
We already found m = -1/2
The y-intercept is the value of y when x = 0, which you can get from the table; b = 2.
Therefore the equation is: y = (-1/2)x + 2.
10,000/250=40
40x2=80
The answer is 80 defective trains
Answer:
the kit can produce 99*89*105*74 = 68,461,470 faces
Step-by-step explanation:
Hope this helps : )
Hence the number of cups of water he will use is: 16/3 cups of water
Answer:
A manager of a grocery store wants to determine if consumers are spending more than the national average.
Yes is the answer
Step-by-step explanation:
Given that the national average is $150.00 with a standard deviation of $30.20.
Sample size n =40
H0: x bar = mu
Ha: x bar >mu
(one tailed test for a single mean)
Sample average x bar = 160
Mean difference = 160-150 =10
std error = 30.20/sqrt 40
=4.775
Test statistic = 2.094
Z critical for 2.5% = 1.96 (one tailed)
Since test statistic > z critical we reject null hypothesis.
Hence Manager's contention is right.