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3 years ago

How can you use theoretical probability to make predictions in real world situations? (Essential question, 7th grade)

1 answer:

5 0

Yes, use the methods you have learned like the proportional probability method and plug in the values you are trying to solve to help in the real world! Hope this helps!

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The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000

Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

$P = P_0 \times e^{rt}$

where P is the population after time t, $P_0$ is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

$2 P_0 = P_0 \times e^{r 1/3}$

$2 = e^{r \; 1/3}$

$ln 2 = r \; 1/3$

$ln 2 \times 3 = r$

$2.08 \% = r$

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

$90000 = P_0 \times e^{2.08 \; 5/3}$

$\frac{9000}{e^{2.08 \; 5/3}} = P_0$

$2810 = P_0$

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

$P = 2810 \times e^{2.08 \; 5}$

$P = 92335548$

3 0

3 years ago

Help please, i am struggling on how to solve!

Elina [12.6K]

Answer:

$x=3$

Step-by-step explanation:

The hypotenuses are equal in length of both triangles.

$13=4x+1$

$13-1=4x$

$12=4x$

$12/4=x$

$3=x$

6 0

3 years ago

Read 2 more answers

Keisha is making potato casserole

lord [1]

Answer:

4 1/2 I think

Step-by-step explanation:

I think but I'm not for sure

4 0

3 years ago

The sum of x and 10 is the product of 5 and 7

frutty [35]

(-10 + 5n) = 35

5n = 45

n = 9.

Hope this helps!

4 0

3 years ago

Read 2 more answers

Thirty subtracted from four times a number is greater than the opposite of 10

Arada [10]

30-4x>-10

Hope I helped

5 0

3 years ago