Answer:
y=3
Step-by-step explanation:
4y-8+4=8
4y-4=8
4y-4+4=8+4
4y=12
4y/4=12/4
y=3
Answer:
There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the population proportion.
Proportion in the null hypothesis (p0) = 0.2
Sample size (n) = 75
Sample proportion (sp) = 24/75 = 0.32
Significance level = 0.01
H0: p = 0.2
Ha: p 
0.2
Test statistic = (sp - p0) / sqrt ((p0) (1-p0) / n)
Left critical Z value (for 0.01) = -2.5758
Right critical Z value (for 0.01) = 2.5758
Calculated statistic = (0.32 - 0.2) / sqrt ((0.32) (1-0.32) / 75) = 2.2278
Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.
I think it is 97°. If not Sorry that I gave you the wrong answer but I'm pretty sure that's the answer.
Answer:
The formula for the volume of a cylinder is:
V= pi * radius^2 * height
When the values are plugged in, you would have:
V= pi * 7^2 * 14
Then simplified....
V= pi * 49 * 14
V= pi * 686
V= 2155.13256036
and when rounded to the nearest inch...
the volume would be approximately 2155 inches.
The correct answer is: (4,1)
Explanation:
First let me explain you what a vertex is (in non-bookish terms).
(In simple words) Vertex is a (common) <em>point</em> where<em> two rays or line segments meet</em>. This definition holds when we talk about straight lines (while looking at the graph). In the graph of absolute valued function attached with the question, you can see there are two lines, one going up (increasing) and the other going down (decreasing), and both <em>meet</em> at <em>x = 4</em>. Now look at the value of <em>y</em> at <em>x = 4</em>. It is +1. In other words, you can say that at x = 4, there is a transition in a graph.
Therefore, the vertex of the absolute value function is (4, 1).
Information: The definition of vertex totally changes when we talk about parabola, or any non-linear equation. In that case, the vertex is the peak value of the graph (where there is a transition). The peak could be positive or negative depending upon the graph or equation; however, in the case of straight lines, adhere to what I explained above. Goodluck!
-i
