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tensa zangetsu [6.8K]
3 years ago
14

 Executives for a company that prints logos on products are expanding the company’s services to include souvenirs such as hats,

shirts, and foam fingers for sports teams. The data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table.
A 4-column table with 3 rows. Column 1 has entries football, baseball, soccer. Column 2 is labeled Hat with entries 51, 39, 30. Column 3 is labeled T-shirt with entries 6, 66, 3. Column 4 is labeled Foam finger with entries 39, 21, 45. The columns are titled Souvenir and the rows are titled Sport.

A survey participant is randomly selected. Let F be the event that the participant prefers football and let N be the event that the participant prefers the foam finger. What is the value of P(F and N)?

0.13
0.32
0.35
0.39

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

.39

Step-by-step explanation:

just did the math

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Answer:

Step-by-step explanation:

Angel ran 1 lap in 2 minutes.

Jayden ran 3 laps in 5 minutes.

How many minutes does it take Angel to run one kilometer? What about Jayden?

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IM Commentary

Parts (a) and (b) of the task ask students to find the unit rates that one can compute in this context. Part (b) does not specify whether the units should be laps or km, so answers can be expressed using either one.

The purpose of part (c) is to give students an opportunity to make use of the unit rates that they found in parts (a) and (b). While it is possible for students to solve part (c) in other ways, the solution shown represents the kind of reasoning with unit rates that 7th graders should be able to do. It is important to note that the answer can be determined using different unit rates as long as the reasoning behind it is correct.

Solution

We can create a table that shows how far each person runs for a certain number of laps:

Number of laps Number of km

1 25

2 45

3 65

We can see from the table that 1 km is exactly half way between 2 and 3 laps. So it will take 2.5 laps to run 1 km.

Since it takes Angel 2 minutes to run 1 lap, she will take

2.5 laps1 km⋅2 minutes1 lap=5 minutes1 km.

So it takes Angel 5 minutes to run 1 km.

Since it takes Jayden 5 minutes to runs 3 laps, she runs 1 lap in 53 minutes. Thus, it takes Jayden

2.5 laps1 km⋅5 minutes3 laps=52⋅53 minutes/km=256 minutes/km=416 minutes/km.

So it takes Jayden 416 minutes to run 1 km.

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Since Jayden runs 1 lap in 53 minutes, she will run 35 laps in 1 minute. Since Jayden runs 1 km in 256 minutes, she will run 625 km in 1 minute.

Jayden runs the same distance in less time than Angel (alternatively, Jayden runs farther in the same time than Angel), so Jayden is running faster than Angel.

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