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Blababa [14]
2 years ago
15

Explain how to solve the question over compound dependent events and explain how I got the answer.

Mathematics
1 answer:
AfilCa [17]2 years ago
6 0
Joe has a 1/2 probability of pulling a blue marble and 1/10 probability of pulling a red marble. 5/10+1/10= 6/10
6/10=3/5 there’s a 3/5 probability of pulling a blue than red marble
(i’m not sure if i completely understood i’m am very sorry if it’s wrong.)
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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Suppose tanesha and Marc both drive the same car and have the same deductible for car insurance. If both are the same age who is
bezimeni [28]

A.Neither they pay the same .

4 0
3 years ago
Find the unit rate. Round to the nearest hundredth, if necessary. $290 for 18 ft2
DochEvi [55]

Answer:16.110

Step-by-step explanation:

5 0
2 years ago
If f(x) = 3x^2 + 2x, then find the value of y when x = -1.
loris [4]

Answer:

1

Step-by-step explanation:

-1 to the power of 2 is 1

1 times 3 is 3

2 times -1 is -2

3+(-2)=1

7 0
3 years ago
Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplif
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7 to 4 is the ratio of salsa jars to salsa bags
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