The line is solid so we have either ≤ or ≥
find the equation of the line
ok, a y intercept if -1
sllope=rise/run=3/1=3
y=mx+b
m=slope
b=y intercept
y=3x-1 is the equaton
now find if it's y≥3x-1 or y≤3x-1
test a point
we see (0,0) Is not in in it
test it in y≥3x-1
0≥3(0)-1
0≥-1
false,
so this is the equation because (0,0) is not a valid solution for this equation
answer is y≥3x-1
Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.
We are to find the probability of selecting 1 red apple and 2 yellow apples.
Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.
Then, we have

Therefore, the probability of event A is given by

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40
Answer:
Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.
Step-by-step explanation:
The formula would be:
Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)
Front & Back - 5 × 7 (multiply by 2 for front AND back)
Sides - 4 × 7 (multiply by 2 for BOTH sides)
___________________________________________________
Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)
Ex. Top & Bottom + Front & Back + Sides
8 halls would be required to accommodate 520 people in the hall.
As we know that a hall can accommodate 65 people.
To determine the number of hall required for 520 people,
first we need to find that how many halls would be required for one person,
So, we will divide the 1 by 6 to find :
The number of one person accommodate = 1/65 Hall
Then, 520 people required to accommodate = 1/65 × 520
= 8 Halls.
[Accommodate: to have enough space for somebody/something, especially for a certain number of people]
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