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klio [65]
1 year ago
12

Owen is deciding between two parking garages. Garage A charges an initial fee of $10 to park plus $1.50 per hour. Garage B charg

es an initial fee of $4 to park plus $3 per hour. Let A represent the amount Garage A would charge if Owen parks for tt hours, and let BB represent the amount Garage B would charge if Owen parks for tt hours. Graph each function and determine the number of hours parked, t that would make the cost of each garage the same. I NEED THIS ON A GRAPH
Mathematics
1 answer:
8090 [49]1 year ago
4 0

Answer:

At 4 hours both options will be $16.00

Step-by-step explanation:

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Two cylinders are shown below which cylinder has a greater volume use 3.14 for pi
lesya [120]

Answer:

Cylinder Q has a greater volume

Step-by-step explanation:

For this question we need to utilise the volume of a cylinder which is

→ Volume of a cylinder = π × r² × h

Let's substitute in the values and then do the analysis

<u>Cylinder P</u>

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 4.25² × 14

⇒ Simplify

→ Volume of a cylinder = 794.430242277

<em>The volume of cylinder P is 794.430242277</em>

<em>-------------------------------------------------------------------------------------------------------</em>

<u>Cylinder Q</u>

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 7² × 8.5

⇒ Simplify

→ Volume of a cylinder = 1308.47334022

<em>The volume of cylinder Q is 1308.47334022</em>

<em>-------------------------------------------------------------------------------------------------------</em>

We can see that cylinder Q has a greater volume

8 0
3 years ago
I need help ASAP! Can anyone please check my work?
STALIN [3.7K]

A = event the person got the class they wanted

B = event the person is on the honor roll

P(A) = (number who got the class they wanted)/(number total)

P(A) = 379/500

P(A) = 0.758

There's a 75.8% chance someone will get the class they want

Let's see if being on the honor roll changes the probability we just found

So we want to compute P(A | B). If it is equal to P(A), then being on the honor roll does not change P(A).

---------------

A and B = someone got the class they want and they're on the honor roll

P(A and B) = 64/500

P(A and B) = 0.128

P(B) = 144/500

P(B) = 0.288

P(A | B) = P(A and B)/P(B)

P(A | B) = 0.128/0.288

P(A | B) = 0.44 approximately

This is what you have shown in your steps. This means if we know the person is on the honor roll, then they have a 44% chance of getting the class they want.

Those on the honor roll are at a disadvantage to getting their requested class. Perhaps the thinking is that the honor roll students can handle harder or less popular teachers.

Regardless of motivations, being on the honor roll changes the probability of getting the class you want. So Alex is correct in thinking the honor roll students have a disadvantage. Everything would be fair if P(A | B) = P(A) showing that events A and B are independent. That is not the case here so the events are linked somehow.

8 0
4 years ago
The probability of selecting a pink piece of construction paper is 23/60 . The chance of selecting a pink piece of construction
gregori [183]
15% is the chance..................
6 0
4 years ago
Read 2 more answers
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
valentina_108 [34]

René Descartes was the person who created analytic geometry and the Cartesian coordinate system

3 0
3 years ago
please help: What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2, 1)?
weqwewe [10]

Answer:

  • y = 5x + 11 or -5x + y = 11

Step-by-step explanation:

<u>Given line:</u>

  • -5x + y = 2

<u>In slope-intercept form:</u>

  • y = 5x + 2

<u>The parallel line has the same slope and will look as:</u>

  • y = 5x + b

<u>This line passes through the point (-2, 1), substitute:</u>

  • 1 = 5*(-2) + b
  • b = 1 + 10
  • b = 11

<u>So the line is:</u>

  • y = 5x + 11

or

  • -5x + y = 11
3 0
3 years ago
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