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serg [7]
2 years ago
5

Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12​ miles per hour. Raul rides his bike 10​ mi

les per hour. Together, they travel a total distance of 34​ miles.
Mathematics
2 answers:
katen-ka-za [31]2 years ago
7 0

Answer:

Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12 miles per hour. Raul rides his bike 10 miles per hour. Together, they travel a total distance of 34 miles.

Zolol [24]2 years ago
5 0

We know

\\ \sf\Rrightarrow Speed=Distance/Time

\\ \sf\Rrightarrow Distance=Time\times {Speed}

Let hours be x

\\ \sf\Rrightarrow 12x+10x=34

\\ \sf\Rrightarrow 22x=34

\\ \sf\Rrightarrow x=34/22

\\ \sf\Rrightarrow x=17/11

\\ \sf\Rrightarrow x=1.5h

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It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for
allsm [11]

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

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

In which the parameters are described as follows:

  • P(B|A) is the probability of event B happening, given that event A happened.
  • P(A \cap B) is the probability of both events A and B happening.
  • P(A) is the probability of event A happening.

For item a, we have that:

  • 100 - 8.23 = 91.77% of the people do not have diabetes.
  • Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

  • 96.5% of 91.77% (do not have diabetes).
  • 2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

P(A \cap B) = 0.02 \times 0.0823 = 0.001646

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

More can be learned about probabilities at brainly.com/question/14398287

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1 year ago
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nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
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  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
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<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
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Hence, for the given values of the discriminant, we have that:

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More can be learned about quadratic functions at brainly.com/question/24737967

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Answer:

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The chapter 7 test will have 20-30 questions on it. Novanet!

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