Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
Radius is half of the diameter so it's 7 for the diameter.
Answer:
It costs $15 a month to play the video game.
The initial cost is $45.
The y-variable represents the cost in dollars.
The x-variable represents the number of months.
Step-by-step explanation:
If you break the function down, you're going to have:
<u>Total = Monthly Cost + Initial Cost</u>
In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:
- 15 for the first month (x = 1)
- 30 for the second month (x = 2)
- 45 for the third month (x = 3), and so on
Our initial cost is always going to be a set amount, thus our constant, $45.
This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.
Hope this helps!
Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject 
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is 
= 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:
Using the Z test statistics which can be expressed by the formula:
Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
