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Kisachek [45]
4 years ago
7

PLEASE HELP! A race consists of three parts: a long run, biking, and a short run. The biking portion is 6 km longer than the lon

g run and the short run is two-thirds the distance of the long run. The entire race is 56 km long. How long is the biking portion? Answer should be to 2 decimal places.
Only put the numerical answer and the units. Ex. 5.87km
Mathematics
1 answer:
Simora [160]4 years ago
5 0

A sprint-distance triathlon is often the best way for a new triathlete to have positive experience in their first event. A typical sprint distance event consists of 400 to 500 yards (or meters) of swimming, 12 to 15 miles of cycling and typically a 3.1-mile run.  This distance makes completing the event quite manageable for fit and soon-to-be fit athletes.


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2% of the population suffers from the terrible disease conditionitis. The test for conditionitis comes back positive 98% of the
vlabodo [156]

Answer:

8% probability that he or she actually has the disease

Step-by-step explanation:

We use the Bayes Theorem to solve this question.

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

If a randomly chosen person is given the test and the test comes back positive for conditionitis, what is the probability that he or she actually has the disease?

This means that:

Event A: Test comes back positive.

Event B: Having the disease.

Test coming back positive:

2% have the disease(meaning that P(B) = 0.02), and for those, the test comes positive 98% of the time. This means that P(A|B) = 0.98

For the 100-2 = 98% who do not have the disease, the test comes back positive 100-77 = 23% of the time.

Then

P(A) = 0.02*0.98 + 0.98*0.23 = 0.245

Finally:

P(B|A) = \frac{0.02*0.98}{0.245} = 0.08

8% probability that he or she actually has the disease

6 0
4 years ago
What is the order of the math operations with parentheses ????<br>and <br>without parentheses ????​
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Parentheses- parentheses first (in order left to right if there's multiple)
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3 0
4 years ago
Read 2 more answers
Bella went shopping for a new phone. To find the total plus tax, she multiplied the price of the phone by 1.075. What percent ta
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4 0
3 years ago
Express 89% as a fraction
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8 0
4 years ago
Solve for x: |2x+6| -4 = 20
Bingel [31]
|2x + 6| - 4 = 20

First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x = \frac{18}{2}
Simplify \frac{18}{2} to 9 / Your problem should look like: x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x = \frac{30}{-2}
Simplify \frac{30}{-2} to - \frac{30}{2} / Your problem should look like: x = -\frac{30}{2}
Simplify \frac{30}{2} to 15. / Your problem should look like: x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9

Answer: x = -15, 9 (C)


4 0
4 years ago
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