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lara31 [8.8K]
3 years ago
11

A fast car travels 420 miles in a period of 210 minutes. What is the adverage rate of change of distance of the car in miles per

hour over this time period?
Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0
If you would like to know the average rate in miles per hour, you can calculate this using the following steps:

420 miles ... 210 minutes
x miles = ? ... 1 hour = 60 minutes

420 * 60 = 210 * x
x = 420 * 60 / 210
x = 120 miles

The correct result would be 120 miles per hour.
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Sue has one spin of the circular spinner shown below.
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Answer:

Colour | Probability

YELLOW | 0.20

WHITE | 0.18

GREEN | 0.12

RED | 0.18

BLUE | 0.32

Step-by-step explanation:

The complete question is presented on the attached image to this solution.

From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.

0.2 + 0.18 + 0.12 = 0.50

Then, BLUE and RED make up the other half of the spinner.

Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50

Let P(BLUE) = x and P(RED) = y

x + y = 0.50

Two of the lines shown on the diagram are diameters of the circle.

The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).

From here, we have established that x + y = 0.50

The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)

From this other information,

P(WHITE) + P(BLUE) = 0.50

0.18 + x = 0.50

x = 0.50 - 0.18 = 0.32

P(YELLOW) + P(GREEN) + P(RED) = 0.50

0.20 + 0.12 + y = 0.50

y = 0.50 - 0.32 = 0.18

To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)

Hope this Helps!!!

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