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3 years ago

Determine the intercepts of the line.

Mathematics

2 answers:

vredina [299]3 years ago

6 0

Screenshot:

y intercept = 0 , 2.5

x intercept = 3.5 , 0

RUDIKE [14]3 years ago

4 0

Answer:

y- intercept = (0, 2.5)

x- intercept = (3.5, 0)

Step-by-step explanation:

y- intercept = (0, 2.5)

x- intercept = (3.5, 0)

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Researchers recorded that a certain bacteria population declined from 800,000 to 500,000 in 6 hours after the administration of

kupik [55]

Answer:

We can assume that the decline in the population is an exponential decay.

An exponential decay can be written as:

P(t) = A*b^t

Where A is the initial population, b is the base and t is the variable, in this case, number of hours.

We know that: A = 800,000.

P(t) = 800,000*b^t

And we know that after 6 hours, the popuation was 500,000:

p(6h) = 500,000 = 800,000*b^6

then we have that:

b^6 = 500,000/800,000 = 5/8

b = (5/8)^(1/6) = 0.925

Then our equation is:

P(t) = 800,000*0.925^t

Now, the population after 24 hours will be:

P(24) = 800,000*0.925^24 = 123,166

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3 years ago

. The teacher decides that no student can win twice, so she removes the tickets of the first winner before drawing the second wi

kozerog [31]

Answer:

<h2>There is 8% probability of Kitzen winning first and Ava second.</h2>

Step-by-step explanation:

The given table shows that there are 4 students, so there are 4 possible winner in total, but they have different number of tickets.

The total number of tickets is 48, that's the total possible outcomes. Kitzen has a probability of

$P_{Kitzen}=\frac{12}{48}=\frac{1}{4}$

Ava has a probability of

$P_{Ava}=\frac{16}{48}=\frac{1}{3}$

Now, the probability of having one event and the other is

$P=\frac{1}{4} \times \frac{1}{3}=\frac{1}{12} \approx 0.08$

Therefore, there is 8% probability of Kitzen winning first and Ava second.

(Notice that the probaility is not about Kitzen or Ava winning, it's about winning both, that's why the percentage is low)

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