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3 years ago

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The probability that the Wild Cats will win their baseball game is 0.3 and the probability that the Bulldogs will win their base

ball game is 0.7. Assuming that they are not playing each other, what is the probability that both teams will win their games

1 answer:

bija089 [108]3 years ago

4 0

Odds of winning 2 of next 3, given 60% odds of winning each game - Mathematics Stack Exchange.

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A bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3960 bacte

scoray [572]

Answer:

a) $P(t) = 660 e^{\frac{ln(6)}{6} t}$

b) $P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

Step-by-step explanation:

For this case we have the following info:

$P(0) = 660$ represent the initial amount of bacteria

$P(6) = 3960$ represent the population of bacteria after 6 hours

Part a

For this case we use the proportional model given by:

$\frac{dP}{dt}= kP$

Where P represent the population at time t and k is a constant of proportionality.

We can rewrite the model like this:

$\frac{dP}{P} = k dt$

And if we integrate both sides we got:

$ln |P|= kt + C$

Now if we apply exponential we got:

$P = e^{kt +c}= e^{kt} e^C$

$P(t)= P_o e^{kt}$

For this case using the initial condition:

$660 = P_o e^{0k}, P_o = 660$

We have the following model:

$P(t) = 660 e^{kt}$

Using the second condition $P(6) = 3960$ we have this:

$3960 = 660e^{6k}$

We can divide both sides by 660 and we got:

$6= e^{6k}$

Now we can apply natural log on both sides and we got:

$ln (6)= 6k$

$k = \frac{ln(6)}{6}=0.2986265782$

So then the model would be given by:

$P(t) = 660 e^{\frac{ln(6)}{6} t}$

Part b

For this case we just need to replace t=3 into the model and we got:

$P(t=3) = 660 e^{\frac{ln(6)}{6}*3} = 1616.663 \approx 1617$

4 0

3 years ago

Which of the following numbers is divisible by 3, 5, and 10? OA) 15 B) 20 OC) 25 OD) 30

Sindrei [870]

Answer:

30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30

7 0

3 years ago

a right triangular prism has a volume of 48 cubic units. Find it’s new volume if two of its dimensions were tripled and a third

Margarita [4]

Answer:

72

Step-by-step explanation:

If you wouldn't mind giving me brainliest, i'm just trying to rank up.

5 0

3 years ago

Tyler is 5 feet tall which equation can be used to determine h,Tyler height in centimeters ,if 1 inch is equal to 2.54 centimete

Dafna11 [192]

Here you go:

h = 5 x 2.54

please correct me if I'm wrong,
Hope it helps!

8 0

3 years ago

Find the slope of the line <br> Y=-3x - 4

Dimas [21]

Let y=0 to find the x-intercept(s).
0=−3x−4

Add 4 to both sides.
4=−3x

Divide both sides by -3
-4/3 =x (fraction)

Switch sides.
x=−4/3 (fraction)

Let x=0 to find the y-intercept(s).
y=−3×0−4

Simplify
y=−4

6 0

3 years ago