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dusya [7]
3 years ago
9

One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.

Mathematics
1 answer:
poizon [28]3 years ago
8 0

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

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The Target heart rate for fit person of age a exercising at p percent of his or her heart rate is determined by the expression 1
natita [175]

Answer: 9p - 1.5a

Step-by-step explanation:

Your maximum heart rate is about 220 minus your age. But it varies base on age category.

Target heart rate during moderate intensity activities is about 50-70% of maximum heart rate.

According to the question;

Target heart rate for

women = 1/2p(418-4a)

= 209p - 2a ....... (1)

men = 1/2p(400-a)

= 200p - 0.5a .......(2)

To find the difference between the target heart rates for a fit woman and a fit man, take equation 1 from equation 2

(209p - 2a) - (200p - 0.5a)

209p - 2a - 200p + 0.5a

9p -1.5a

7 0
3 years ago
Whats the extreme value?y=3(x+5)^(2)-4
natta225 [31]

Answer:

-4

Step-by-step explanation:

  • y = 3(x+5)²-4
  • y= 3(x²+10x+25)-4
  • y= 3x²+30x+75-4
  • y= 3x²+30x+71

Derivate the function

  • y' = 6x+30

solve the equation y'= 0

  • y'= 6x+30
  • 6x+30= 0
  • 6x= -30
  • x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0
3 years ago
1/6+1/2 simplest form
vlada-n [284]
Lowest common denominator-> 6
1/2 multiply both top and bottom by 3 to get it in sixths
1/6+3/6=4/6
4/6 simplifies to 2/3.
2/3 is the simplest form to your question.
7 0
3 years ago
What is the value of x when the richter scale rating scale is 8.4?
Vsevolod [243]

The value of x when the richter scale rating scale is 8.4 is 251188643.151

<h3>What is a richter scale?</h3>

A richter scale is a numerical scale that is used for expressing the magnitude of an earthquake in a geographical area

<h3>How the richter scale works?</h3>

The richter scale takes the amplitude of the earthquake's largest seismic as an input and calculate (and display) the magnitude of an earthquake in the geographical area using a logarithmic function

<h3>How to determine the value of x?</h3>

The formula of a richter scale is expressed as:

log(x) = n

Where n represents the scale rating of the scale

In this case, n = 8.4.

So, we have:

log(x) = 8.4

Express as an exponent

x = 10^8.4

Evaluate the exponent

x = 251188643.151

Hence, the value of x when the richter scale rating scale is 8.4 is 251188643.151

Read more about richter scale rating at

brainly.com/question/19799610

#SPJ1

7 0
1 year ago
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7 0
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