The coordinate will be (5, 12). Then the number of balloons that a group of 5 people pops will be 12.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts.
He records the number of people in each group and the total number of balloons they pop.
This graph represents Rami’s data.
Then the number of the balloons that a group of 5 people pops will be
The coordinate will be given as
⇒ (5, 12)
More about the coordinate geometry link is given below.
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Answer:
Slope Intercept Form: y=3x+10
Slope: 3
y: 10
Step-by-step explanation:
y-3x=10 Add 3x to both sides. The y has to be isolated.
So it is y=10+3x So we have to reorder it so y=3x+10
Answer:
The answer is 114 which is the first answer which is A
Step-by-step explanation:
The rest 99, 87, and 25 just dont
Hope this helps you
Answer:
51/4
Step-by-step explanation:
To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.
X~ Uniform(0,100)
Then the probability mass function is given as follows.

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable
,
is a random variable as well, remember that there is a theorem that says that
![E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%20E%5BD%28X%29%5D%20%3D%20%5Cint%5Climits_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D%20D%28x%29%20f%28x%29%20%5C%2C%5C%2C%20dx)
Where
is the probability mass function of X. Using the information of our problem
![E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%20%5Cint%5Climits_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7D%20%20D%28x%29f%28x%29%20dx%20%5C%5C%3D%20%5Cfrac%7B1%7D%7B100%7D%20%5Cbigg%5B%20%5Cint%5Climits_%7B0%7D%5E%7B20%7D%20x%20dx%20%2B%5Cint%5Climits_%7B20%7D%5E%7B45%7D%20%28x-20%29%20dx%20%2B%5Cint%5Climits_%7B45%7D%5E%7B70%7D%20%2870-x%29%20dx%20%2B%5Cint%5Climits_%7B70%7D%5E%7B100%7D%20%28x-70%29%20dx%20%20%5Cbigg%5D%5C%5C%3D%20%5Cfrac%7B51%7D%7B4%7D%20%3D%2012.75)
The maximum number of hours that can be allocated in a day is 21
Data given;
- Sale = $3500
- Employee pay = $10.00 per hour
- Percentage allocated to employee = 6% of sales
<h3>Percentage</h3>
This is the process of finding a fraction of a value multiplied by 100.
Let's find the actual figure allocated to employee pay.
6% of $3500 is;

The percentage out of sale allocated for employee pay is $210
Now we know the actual amount allocated to employee pay and it is $210.
Divide the amount allocated to employee pay by $10:00 to find the actual hours we can allocate in a day.

The maximum number of hours we can allocate in a day is 21 hours.
Learn more on percentage here;
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