Answer:
Step-by-step explanation:
x has to be equal to or less than a -5 to get (4 + x) to be a negative number.
x has to be equal to or greater than -10 for (11 + x) to be a positive number.
Therefore, any number between -10 and -5 will work.
Using the points where the blue line crosses the X and Y axis:
(0,5) ans (-1, 0)
The slope is the change in Y over the change in X:
0-5 / -1 - 0 = -5/-1 = 5
Slope = 5
Y intercept = y1 = 5
Equation = y = 5x+5
First mug holds the most
<em><u>Solution:</u></em>
Given that,
You are choosing between two mugs
<em><u>The volume of cylinder is given as:</u></em>

Where,
r is the radius and h is the height
<em><u>One has a base that is 5.5 inches in diameter and a height of 3 inches</u></em>

Therefore,

Also, h = 3 inches
<em><u>Thus volume of cylinder is given as:</u></em>

Thus first mug holds 71.24 cubic inches
<em><u>The other has a base of 4.5 inches in diameter and a height of 4 inches</u></em>

h = 4 inches
Therefore,

Thus the second mug holds 63.585 cubic inches
On comparing, volume of both mugs,
Volume of first mug > volume of second mug
First mug holds the most
37:53
Step-by-step explanation:
Step 1 :
Given
Number of people choosing Juice A = 37
Number of people choosing Juice B = 32
Number of people choosing Juice C = 21
We need to find the odds in favor of choosing a person who chooses juice A
Step 2 :
Here the number of success is the number of people choosing juice A = 37
Number of failures is the number of the people not choosing juice A = Number of people choosing juice B + Number of people choosing juice C = 32+21 = 53
Hence the odds in favor of choosing a person who chooses juice A is 37:53
Answer:
11 and 5/16
Hope this answers your question