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3 years ago

Which function best models the data?

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Answer:

y = 9,958(0.972)^t

Step-by-step explanation:

From point to point, the difference in days is always constant (10 days), but the difference between estimated number of bees is not constant.

10000 - 7500 = 2500

7500 - 5600 = 1900

5600 - 4200 = 1600

4200 - 3200 = 1000

3200 - 2400 = 800

Therefore, the data don't fit a line.

From the other two options:

y = 9,958(0.972)^t

y = 0.972(9,958)^t

only the first one has sense, because its initial amount of bees is 9,958 (near to 10,000) and in the second option is 0.972.

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3 years ago

2. What is the interpretation of the constant of proportionality?

Snowcat [4.5K]

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3 years ago

n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha

Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P(printing speed of the sample is greater than 17.99 ppm.)

P(x > 17.99)

$P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)$

Calculating the value from the standard normal table we have,

$1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%$

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

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3 years ago

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alekssr [168]

Answer:

Step-by-step explanation:

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3 years ago