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Leviafan [203]
3 years ago
14

Ratios and Scale Worksheet #1. What does it mean when a map of a park says its scale is 1 to 50? #2. If a pathway in this same p

ark is 7 inches long on the map, how many inches is it in real life? #3. How many feet will this same pathway be in real life? #4. A model car is built at a scale of 1 to 67. If the model car is 5 inches long, how many inches is the actual car? #5. How many feet will this same car be in real life? #6. A driver is driving at a constant speed and drives 9 miles. It takes her 10 minutes to drive this far. What is her speed in miles per hour? Help me please, thank you.
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0

Answer:

1. This means that the actual park size is 50 times larger than the size of the park on the map.

2. If a pathway is 7 inches long on the map, it will be 50 times larger in real life;

= 7 * 50

= 350 inches

3. 1 foot is 12 inches so 350 inches will be;

= 350/12

= 29.2 feet

4. The real life length of the car is;

= 5 * 67

= 335 inches

5. The real life length in feet is;

= 335/12

= 27.9 feet

6. Speed = Distance / time

The time should be converted to hours;

= 10/60 minutes

= 1/6

Speed = 9 / (1/6)

= 54 miles per hour

= 54 mph

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Fed [463]

Answer:

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

Step-by-step explanation:

Probability of a defective part:

0.04 of \frac{100}{180}, that is, coming from A.

0.05 of \frac{80}{180}, that is, coming from B. So

p = 0.04\frac{100}{180} + 0.05\frac{80}{180} = \frac{0.04*100 + 0.05*80}{180} = 0.0444

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

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3 years ago
What is the theoretical probability that you will get a sum of 7? P(sum of 7)=
hammer [34]

Answer:

\frac{12}{36} or \frac{1}{3}

Step-by-step explanation:

Notice that there are 6 sums of 7 on the table provided. For example rolling a 1 and then a 6 would produce a sum of 7.

The reason the answer is 12 and not 6 is that you need to double it for the two dice. Let's say one die was green and the other was blue. The green die could be the 1 and the blue die could be the 6. That is one favorable outcome, but it could be switched. Maybe the green die was 6 and the blue die was 1.

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3 years ago
The area of a rectangle is 20 square meters. How long is the length, if the width is 4 meters?
Brums [2.3K]

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4 0
3 years ago
1. Which value is the closest to 0.9.997?
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I think the answer would be D. 10 is closest to 0.9997

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2 years ago
in 2012, the population of a city was 63,000. by 2017, the population was reduced to approximately 54,100. identify any equation
Akimi4 [234]

Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

4 0
3 years ago
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