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meriva
3 years ago
13

Andy and Samantha are performing an experiment in a science lab. The number of bacteria cells recorded by Andy in his experiment

is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.
B = 6x + 5

The number of bacteria cells recorded by Samantha in her experiment is represented by the equation below, where B represents the number of bacteria, x hours after beginning the experiment.

B = 2^x + 3
Using graphing technology, complete the statements.


After answer hours, the total number of bacteria cells for both experiments will be the same.


The total number of bacteria cells at that hour will be answer .

Mathematics
2 answers:
-Dominant- [34]3 years ago
7 0
Andy will record 6x + 5 bacteria cells, while Samantha will record 2^x + 3 bacteria cells. These will be equal at a time when:
6x + 5 = 2^x + 3
Plotting both of these shows that they are equal when x = 5 and y = 35.
Therefore, the number of bacteria cells will be equal at 35, at t = 5 hours.

Mekhanik [1.2K]3 years ago
4 0

Answer:B = 6x + 5




Step-by-step explanation:


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Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

4 0
3 years ago
21) Martha's aunt bought $26 for 20 plants. Some were
a_sh-v [17]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Someone please help, having trouble with this
Dennis_Churaev [7]

Answer:

C

Step-by-step explanation:

it describes how much the shown graph extends left and right.

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B and D are completely inapplicable

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8 0
3 years ago
How many pairs of whole numbers have the sum of 99
valentina_108 [34]
50 pairs of whole numbers
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earnstyle [38]

Answer:

A, B, C

Step-by-step explanation:

whole number: the set of counting numbers, 1, 2, 3, ..., and includes the number 0.

integer: all whole numbers, zero, and all the negatives of the whole numbers: ..., -3, -2, -1, 0, 1, 2, 3, ...

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A whole number

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6 0
3 years ago
Read 2 more answers
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