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3 years ago

Please someone help me

Mathematics

1 answer:

fomenos3 years ago

3 0

Mmm looks like a test. I don't know if we should be answering this.

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Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who

Gnoma [55]

Answer:

y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means

dy/dt = k(700,000-y(t)) where k is some constant of proportionality.

Since no one has heard the news at first, we have

y(0) = 0 (initial condition)

We can then state the initial value problem as

y'(t) = k(700,000-y(t))

y(0) =0

8 0

3 years ago

A sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's p

charle [14.2K]

Answer:

So the value of the test statistic is -0.85.

Step-by-step explanation:

We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.

We get that:

$n=1800\\\\p_1=53\%=0.53\\\\p_2=54\%=0.54\\$

We calculate the standar deviation:

$\sigma=\sqrt{\frac{0.53 \cdot (1-0.53)}{n}}=\sqrt{\frac{0.53 \cdot 0.47}{1800}}=0.01176$

We calculate the value of the test statistic:

$z=\frac{p_1-p_2}{\sigma}=\frac{0.53-0.54}{0.01176}=-0.85$

So the value of the test statistic is -0.85.

5 0

4 years ago

HELP PLS:

Ne4ueva [31]

Answer:

Bruce's function:

$\displaystyle y=\frac{1}{4}x$

Felicia's function:

$\displaystyle y=\frac{1}{9}x$

Bruce's tiles cover more area

Step-by-step explanation:

Functions

We need to compare the area covered by tile of both Bruce and Felicia. We are required to find the function y, the area covered by the number of tiles he used, x.

We know the tiles used by Bruce cover 1/4 of a square foot, this is written as:

$\displaystyle y=\frac{1}{4}x$

To find the function for Felicia, we must use the data provided in the table

For example,

For x=9 tiles, y=1 sq ft

For x=18 tiles, y=2 sq ft

If we set

$\displaystyle y=kx$