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2 years ago

7

Writing Exponential Functions from Scenarios A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases

every hour at a constant rate of 40%. What is the exponential decay function that models this scenario? How much medicine will be left in the patient's system after 2 hours?
A. f(x) = 50(0.40)x; 8 mg
B. f(x) = 50(0.60)x; 18 mg
C. f(x) = 50(40)x; 80,000 mg
D. f(x) = 50(60)x; 180,000 mg

2 answers:

Mariana [72]2 years ago

5 0

Answer:

The answer is B - f(x) = 50(0.60)x; 18 mg

Step-by-step explanation:

allochka39001 [22]2 years ago

4 0

Wouldn't your answer be A because it is 40% which is 0.4 as a decimal?

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The amount of time it takes for a student to complete a statistics quiz is uniformly distributed (or, given by a random variable

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Answer:

(A) 0.15625

(B) 0.1875

(C) Can't be computed

Step-by-step explanation:

We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.

Let X = Amount of time taken by student to complete a statistics quiz

So, X ~ U(32 , 64)

The PDF of uniform distribution is given by;

f(X) = $\frac{1}{b-a}$ , a < X < b where a = 32 and b = 64

The CDF of Uniform distribution is P(X <= x) = $\frac{x-a}{b-a}$

(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)

P(X > 59) = 1 - P(X <= 59) = 1 - $\frac{x-a}{b-a}$ = 1 - $\frac{59-32}{64-32}$ = $1-\frac{27}{32}$ = 0.15625

(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)

P(X <= 43) = $\frac{43-32}{64-32}$ = $\frac{11}{32}$ = 0.34375

P(X < 37) = $\frac{37-32}{64-32}$ = $\frac{5}{32}$ = 0.15625

P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875

(C) Probability that student complete the quiz in exactly 44.74 minutes

= P(X = 44.74)

The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.

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2 years ago

Yesterday's World Cup final had viewing figures of 138,695,157.<br><br> What is the value of the 3?

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Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

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$v(7) = 7*10^{0} = 7$

i = 1;

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$v(5) = 5*10^{1} = 50$

i = 2;

v(1) is the value of the 1

$v(1) = 1*10^{2} = 100$

i = 3;

v(5) is the value of the 5

$v(5) = 5*10^{3} = 5,000$

i = 4;

v(9) is the value of the 9

$v(9) = 9*10^{4} = 90,000$

i = 5;

v(6) is the value of the 6

$v(6) = 6*10^{5} = 600,000$

i = 6;

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$v(8) = 8*10^{6} = 8,000,000$

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The value of the 3 is 30,000,000.

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2 years ago

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Answer:

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So, each probability can be found by using standard probabilities

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<h3>(a) Defense</h3>

$P=\frac{11}{50} \approx 0.22$

Therefore, the defense has a probability of 22% of score that goal.

<h3>(b) Midfielders</h3>

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Therefore, midfielders have a probability of 30% of scoring that goal.

<h3>(c) Strikers.</h3>

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Therefore, strikers have a probability of 46% of scoring that goal.

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Answer:

24

Step-by-step explanation:

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2 years ago

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If you would like to find the final score, you can do this using the following steps:

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2 years ago