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Elanso [62]
3 years ago
11

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer re

presents the vertical change from the start of the ride for the coaster after the 20 seconds?
Mathematics
1 answer:
Finger [1]3 years ago
5 0

The question is an illustration of arithmetic operations.

The integer that represents the vertical rise is 76

<em>Upward movements are represented with positive, while downward movements are represented with negative.</em>

<em />

So, the given parameters are:

Up = 100m

Down = -72m

Up= 48m

The vertical rise is:

Rise = Up_1 + Down + Up_2

So, we have:

Rise = 100m -72m +48m

Rise = 76m

Hence, the integer that represents the vertical rise is 76

Read more about arithmetic operations at:

brainly.com/question/15385899

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3. Students arrive at an ATM machine in a random pattern with an average inter-arrival time of 3 minutes. The length of transact
svp [43]

Answer:

The probability that a student arriving at the ATM will have to wait is 67%.

Step-by-step explanation:

This can be solved using the queueing theory models.

We have a mean rate of arrival of:

\lambda=1/3\,min^{-1}

We have a service rate of:

\mu=1/2\,min^{-1}

The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).

Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.

The last can be calculated as:

P_{n>0}=\rho=\dfrac{\lambda}{\mu}=\dfrac{1/3}{1/2}=\dfrac{2}{3}=0.67

Then, the probability that a student arriving at the ATM will have to wait is 67%.

4 0
4 years ago
A total of 633 tickets were sold for the school play. They were either adult tickets or student tickets. There were 67 fewer stu
olganol [36]

Answer:

x+x-63=637 solve for x

2x=700 divide each side by 2

x=350

so 350 adult and 350-63=287 student

your answe is

287

5 0
3 years ago
Please help quick you have to click on the picture to see the whole question
MrRa [10]
3x + x =12.80
Combine like terms
4x=12.80
Divide both sides by 4 to isolate x
X=3.20
Pat has 3 times = 3.20x3= 9.60
12.80-9.60 =3.20 Jerry’s money
8 0
4 years ago
Read 2 more answers
A cake recipe calls for two cups of sugar to five cups of flour. How much flour per cup of sugar? How much sugar per cup of flou
AVprozaik [17]

Answer:

flour per cup of sugar=2 1/2 cups of flour

sugar per cup of flour=2/5 cups of sugar

Step-by-step explanation:

8 0
3 years ago
Can anyone help me with these
Studentka2010 [4]
The answer is C

Trust me
3 0
3 years ago
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