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taurus [48]
3 years ago
5

While driving to the school, I was 20 miles from the school at 7:00. By 7:15, I was 8 miles away from the school. What was my ra

te of change?
Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

your rate of change was 40%

Step-by-step explanation:

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Consider two medical tests, A and B for a virus. Test A is 90% effective at recognizing the virus when it is present, but has a
Licemer1 [7]

1

P(V|A) is not 0.95. It is opposite:

P(A|V)=0.95

From the text we can also conclude, that

P(A|∼V)=0.1

P(B|V)=0.9

P(B|∼V)=0.05

P(V)=0.01

P(∼V)=0.99

What you need to calculate and compare is P(V|A) and P(V|B)

P(V∩A)=P(A)⋅P(V|A)⇒P(V|A)=P(V∩A)P(A)

P(V∩A) means, that Joe has a virus and it is detected, so

P(V∩A)=P(V)⋅P(A|V)=0.01⋅0.95=0.0095

P(A) is sum of two options: "Joe has virus and it is detected" and "Joe has no virus, but it was mistakenly detected", therefore:

P(A)=P(V)⋅P(A|V)+P(∼V)⋅P(A|∼V)=0.01⋅0.95+0.99⋅0.1=0.1085

7 0
3 years ago
How to write 103,727,495 in expanded form
aleksley [76]
100,000,000+3,000,000+700,000+20,000+7,000+400+90+5 hope this helps
5 0
3 years ago
Find the distance between A(-3, 2) and B(5, -1).
vovangra [49]
The distance between those two points would be (8,-3)
8 0
3 years ago
a runner wants to run 1000 miles in one year. if he runs the same number everyday, use compatible numbers to estimate the number
vampirchik [111]
2.73972603 or ... you can round to the nearest tenth... 2.7
7 0
3 years ago
Read 2 more answers
Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.
tigry1 [53]

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

5 0
2 years ago
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