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Ierofanga [76]
4 years ago
5

In triathlons, it is common for racers to be placed into age and gender groups. Friends Leo and Mary both completed the Hermosa

Beach Triathlon, where Leo competed in the Men, Ages 30 - 34 group while Mary competed in the Women, Ages 25 - 29 group. Leo completed the race in 1:22:28 (4948 seconds), while Mary completed the race in 1:31:53 (5513 seconds). Obviously Leo finished faster, but they are curious about how they did within their respective groups. Can you help them? Here is some information on the performance of their groups: The finishing times of the Men, Ages 30 - 34 group has a mean of 4313 seconds with a standard deviation of 583 seconds. The finishing times of the Women, Ages 25 - 29 group has a mean of 5261 seconds with a standard deviation of 807 seconds. The distributions of finishing times for both groups are approximately Normal. Remember: a better performance corresponds to a faster finish.
(a) Write down the short-hand for these two normal distributions.
(b) What are the Z scores for Leos and Marys finishing times? What do these Z scores tell you?
(c) Did Leo or Mary rank better in their respective groups? Explain your reasoning.
(d) What percent of the triathletes did Leo finish faster than in his group?
(e) What percent of the triathletes did Mary finish faster than in her group?
(f) If the distributions of finishing times are not nearly normal, would your answers to parts (b) - (e) change? Explain your reasoning.
Mathematics
1 answer:
Serjik [45]4 years ago
7 0
the correct answer would be c
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2.
scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.

in next two situation , two variables are increasing with each other.

so we take last situation ↓

Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives

decreases.

→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.

thanks ❤

4 0
3 years ago
The store currently has seven rackets of each version. What is the probability that all of the next ten customers who want this
Mila [183]

The probability that all of the next ten customers who want this racket can get the version they want from current stock is 0.821

<h3>How to solve?</h3>

Given: currently has seven rackets of each version.

Then the probability that the next ten customers get the racket they want is P(3≤X≤7)

<h3>Why P(3≤X≤7)?</h3>

Note that If less than 3 customers want the oversize, then more than 7 want the midsize and someone's going to miss out.

X ~ Binomial (n = 10, p = 0.6)

P(3≤X≤7)  = P(X≤7) - P(X≤2)

From Binomial Table:

               = 0.8333 - 0.012

               = 0.821

To learn more about Probability visit :

brainly.com/question/25870256

#SPJ4

6 0
2 years ago
Evaluate the expression 3c – d for the given variable. d = -c + 7
s2008m [1.1K]
3c-d
3c-(-c+7)
3c+c-7
4c-7
Final answer: 4c-7
5 0
4 years ago
A fish dives into a depth of -3/4 mile below the surface of the water. A turtle's depth is 1/3 as deep as the fish's depth. What
Tomtit [17]
Basically you just need to multiply the two fractions together to get the depth of the turtle. Therefore the turtle is 3/12 miles deep or 1/4 mile deep.
7 0
3 years ago
What is 40 /6 in fraction
Serhud [2]
Well I'm assuming that you want me to simplify the fraction 40/6. Since 40 can go into 6 multiple times, this fraction is going to be a mixed number.
40/6 in simplest form is 6 2/3. Hope I helped!
3 0
4 years ago
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