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Rus_ich [418]
3 years ago
13

5 ports Use absolute value to express the distance between -12 and -15 on the number line. |-12 - (-15) = -27​

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

Distance = 3

Step-by-step explanation:

Given

-12 and -15

Required

Solve the difference

The question you posted included the solution. However, the solution is incorrect;

The absolute difference is represented as:

Difference = \vert a - b \vert

In this case:

a = -12

b = -15

So, the distance is calculated as:

Distance = |-12 - (-15)|

Open bracket

Distance = |-12 +15|

Distance = |3|

Distance = 3

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5 0
3 years ago
State the domain and range for the function. f(x)= -tan x
zaharov [31]

Answer:

  • domain: (-∞, ∞) \ (kπ+π/2 for integers k)
  • range: (-∞, ∞)

Step-by-step explanation:

The tangent function is undefined at odd multiples of π/2. It can take on any value.

The domain is all real numbers except odd multiples of π/2.

The range is all real numbers.

4 0
3 years ago
What are the Mean, Median, Mode, and Range of the set of data below? 3.4, 4, 6.01, 3.9, 3.17, 4
Katena32 [7]
Mean: 4.1
mode: 4
median: 3.95
range: 2.84
7 0
3 years ago
One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.
poizon [28]

Answer:

Mean: \bar x = 40.61

Median =40.2

Mode = 43.4

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

\bar x = \frac{\sum x}{n}

From the attached:

n = 14

So, the mean is:

\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}

\bar x = \frac{568.58}{14}

\bar x = 40.61

Solving (b): The median

n = 14; this is an even number. So, the median is:

Median = \frac{1}{2}(n+1)

Median = \frac{1}{2}(14+1)

Median = \frac{1}{2}(15)

Median = 7.5th

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>

The 7th and 8th items are: 40.2 and 40.2

The median is:

Median = \frac{1}{2}(40.2 + 40.2)

Median = \frac{1}{2}*80.4

Median =40.2

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

Mode = 43.4

8 0
3 years ago
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