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Thepotemich [5.8K]
3 years ago
6

The scale for a map to actual distance is 2 cm to 100 mi. The driving distance on the map between Los Angeles and Las Vegas is 5

.4 cm. What is the actual distance, in miles, between Los Angeles and Las Vegas?
Mathematics
1 answer:
wel3 years ago
4 0

Answer: 270 miles

Step-by-step explanation:

From the question, we are informed that the scale for a map to actual distance is 2 cm to 100 mi and that the driving distance on the map between Los Angeles and Las Vegas is 5.4 cm.

The actual distance, in miles, between Los Angeles and Las Vegas will go thus:

= 5.4cm/2cm × 100mi

= 2.7cm × 100miles

= 270 miles

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Answer:

63.69

Step-by-step explanation:

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3 years ago
Some doctors recommend that men drink 3 liters of water every day. There are approximately 33.814fluid ounces in 1 liter. Which
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Answer:

101 fl oz

Step-by-step explanation:

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Find p[b] in each case: (a) events a and b are a partition and p[a] = 3p[b]. (b) for events a and b, p[a ∪ b] = p[a] and p[a ∩ b
nirvana33 [79]

Answer:

Case(a): p[b]=\frac{1}{3}p[a]

Case(b): p[b]=0

Case(c):  p[b]=\frac{1}{2}p[a\cap b]

Step-by-step explanation:

Given

(a) events a and b are a partition and p[a] = 3p[b].

(b) for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.

(c) for events a and b, p[a ∪ b] = p[a]− p[b].

we have to find the p[b] in each case:

Case (a): events a and b are a partition and p[a] = 3p[b].

gives p[b]=\frac{1}{3}p[a]

Case (b):  for events a and b, p[a ∪ b] = p[a] and p[a ∩ b] = 0.

p[a\cup b]=p[a] ⇒p[a]+p[b]-p[a\cap b]=p(a) ⇒ p[b]=0  ∵  p[a ∩ b] = 0.

Case(3):  for events a and b, p[a ∪ b] = p[a]− p[b].

p[a ∪ b] = p[a]− p[b]

⇒ p[a]+p[b]-p[a\cap b]=p[a]-p[b]

⇒ 2p[b]=p[a\cap b]

⇒  p[b]=\frac{1}{2}p[a\cap b]

4 0
3 years ago
Read 2 more answers
Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).
lesantik [10]

Answer:

10x+23 (pretty sure) and the * means multiply

Step-by-step explanation:

12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23

4 0
3 years ago
40 points fast For the following set of test scores, identify:
myrzilka [38]

Answer:

 The measure of center would this student want his teacher to use is the

median= {\bf 75}

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Step-by-step explanation:

Given Data set= 50,55,70,75,82,82,90

Number of elements in data set= 7

To find Mean

The ‘Mean” is the average of a set of numbers.

The "Mean" is computed by adding all of the numbers in the data together and dividing by the number  of elements contained in the data set.

Mean= \frac{50 +55 +70 + 75 + 82 + 82 + 90} {7 }

Mean= \frac{504}{7}

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Median

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Therefore Median=75

Mode

The "Mode" for a set of data is the value that occurs most often.

It is not uncommon for a data set to have more than one mode. This happens when two or more  elements occur with equal frequency in the data set.

Therefore Mode=82

Range

The "Range" is the difference between the largest value and smallest value in a set of data.

Range= 90-50

Range= 40

Interquartile Range

The “Interquartile Range” is the difference between smallest value and the largest value of the middle  50% of a set of data.

The "Interquartile Range" is from Q1 to Q3:

To find the interquartile range of a set of data:

The cut the list into four equal parts

. The quartiles are the “cuts”

The interquartile range is the distance between the two middle sets of data

Interquartile Range= Q_3-Q_1

Interquartile Range= 82-50

Interquartile Range= 32

5 0
4 years ago
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