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Mashcka [7]
3 years ago
7

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0
So the answer is A hope this would help you

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The population of bacteria in a culture doubles every 14 hours. How long will it take for
Snezhnost [94]

Answer:  22 hours 11 minutes

<u>Step-by-step explanation:</u>

P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

4 0
3 years ago
Each morning John eats some eggs. On any given morning, the number of eggs he eats is equally likelyto 1, 2, 3, 4, or 5 independ
qaws [65]

Answer:

Mean = 3

Variance = 2

Step-by-step explanation:

Since number of eggs he eats is equally likely to any 5 numbers, probability of each one will be (1/5) = 0.2

The probability mass function will therefore be

x 1 2 3 4 5

p 0.2 0.2 0.2 0.2 0.2

The mean is given as the expected value

And expected value is given as

E(X) = Σ xᵢpᵢ

where x = each possible sample space

p = probability of the sample space occurring.

E(X) = (1×0.2) + (2×0.2) + (3×0.2) + (4×0.2) + (5×0.2) = 3 eggs.

b) Variance is given by

Variance = Var(X) = Σx²p − μ²

where μ = E(X)

Σx²p = (1² × 0.2) + (2² × 0.2) + (3² × 0.2) + (4² × 0.2) + (5² × 0.2) = 0.2 + 0.8 + 1.8 + 3.2 + 5 = 11

Var(X) = Σx²p − μ² = 11 - 3² = 11 - 9 = 2

5 0
3 years ago
Over what interval is the function decreasing? f(1) = x2 + 2x + 2​
kotykmax [81]

Answer:

Step-by-step explanation:

y=x^2+2x+2\\ \\ \frac{dy}{dx}=2x+2\\ \\ 2x+2

7 0
3 years ago
A pizza is cut into slices that are each 1/6 of the whole. John is going to eat 1/2 of the pizza. How many slices will John eat?
GarryVolchara [31]

Answer:

3 slices

Step-by-step explanation:

The pizza is cut into 6 slices

Since John wants to eat half of the pizza, you would need to divide 6 by 2 to get half

So the answer is 3 slices of pizza

5 0
3 years ago
Read 2 more answers
Yall got any game ideas? i aint got tha energy to be doin school work, tell em to me :)
mafiozo [28]

Answer:

Games to make? or play? If play then I suggest age of empires 2 DE, the games insane

Step-by-step explanation:

5 0
3 years ago
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