Answer:
- <u>1. Find attached the graph with the points connected forming the letter L (it is the first graph)</u>
<u></u>
- <u>2. The area of the letter is 24in².</u>
Explanation:
<u></u>
<u>1. Graph.</u>
To graph the points you use a coordinate plane with marks on the x-axis and y-axis distanced 1 unit (equivalent to 1 inch(.
For instance, for the point A (3, 2) the x-coordinate is 3, and the y-coordinate is 2. Thus, to draw the point, you move 3 units to the right of the origin of the coordinate plane (x = 3) and 2 units upward (y = 2). There you draw the point A.
After you do the same with the other points, B, C, D, E, y F, and connect them you realize that the letter L is formed.
Now you can calculate the area.
<u></u>
<u>2. Area</u>
To calculate the area you can split the figure in two rectangles. That is shown in the second figure attached.
Auxiliary point X and segment FX have been added in this second figure to help identify the two rectangles.
The area of the rectangle CDEX is 2in × 8in = 16in².
The area of the rectangle ABXF is 4 in × 2 in = 8 in².
Thus, the area of the letter is 16in² + 8in² = 24in²
There is no image attached
Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%
Answer:
25
Step-by-step explanation:
Since each of the six possible outcomes is equally likely, you can expect to get each of the outcomes 150/6 = 25 times.
if this is wrong, let me know so I can fix it
hope this helps:)
Answer: y=-4x+7
Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x