A parallelogram has a base of 9 feet and a height of<br> feet.<br> What is its area?

Researchers recorded that a certain bacteria population declined from 800,000 to 500,000 in 6 hours after the administration of

kupik [55]

Answer:

We can assume that the decline in the population is an exponential decay.

An exponential decay can be written as:

P(t) = A*b^t

Where A is the initial population, b is the base and t is the variable, in this case, number of hours.

We know that: A = 800,000.

P(t) = 800,000*b^t

And we know that after 6 hours, the popuation was 500,000:

p(6h) = 500,000 = 800,000*b^6

then we have that:

b^6 = 500,000/800,000 = 5/8

b = (5/8)^(1/6) = 0.925

Then our equation is:

P(t) = 800,000*0.925^t

Now, the population after 24 hours will be:

P(24) = 800,000*0.925^24 = 123,166

5 0

3 years ago

You invest $5000 at 6.25% interest. How much is in your account after 8 years if

romanna [79]

Answer:

A. annually I believe it's the answer bc you add interest every year that way

6 0

3 years ago

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Three women, Chantel, Marissa, and Qian, enjoy running laps around a circular track. Each women runs at a constant speed. It tak

lubasha [3.4K]

It takes 150 seconds for Qian to complete the track.

Let she runs the track in the clockwise direction.

In 60 seconds, she runs $\frac{60}{150}$ = $\frac{2}{5}$ th of the track.

Since she meets Marissa, who is running in the opposite (counter clockwise) direction in every 60 seconds, Marissa should have completed $\frac{3}{5}$ th of the track.

Chantel meets Marissa in every 300 seconds.

So, in 60 seconds, she advances Marissa by $\frac{1}{5}$ th of the track.

Hence, in 300 seconds, Qian, Marissa and Chantel all meets at the starting point.

ALITER;

Marissa meets Qian in every 60 seconds.

So, Marissa and Qian meet each other in 60th, 120th, 180th, 240th and 300th second.

But, it is given that Chantel meets Marissa in every 300 seconds.

So, in 300 seconds, Qian, Marissa and Chantel meet each other.

6 0

3 years ago

Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3

qwelly [4]

Answer:

Multiply equation $4x+5y=62$ by 5 and $5x-3y=22$ by 4

Step-by-step explanation:

Given:

Equations are $4x+5y=62,5x-3y=22$

To find: constant by which each equation should be multiplied to eliminate the variable $x$ in the given system of equations

Solution:

$4x+5y=62...(i)\\5x-3y=22...(ii)$

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

$20x+25y=310\\20x-12y=88$

On subtracting these equations, we get

$(20x+25y)-(20x-12y)=310-88\\\\13y=222$

So, the variable $x$ gets eliminated

7 0

3 years ago

You want to estimate the probability that a lightbulb of a famous brand will last more than 6.500 hours. You choose 10,000 bulbs

brilliants [131]

Answer/Step-by-step explanation:

(a) The likelihood function to estimate this probability can be written as:

mat[1000, 9800]p9580(1 - p)420

(b) The value of the maximum likelihood estimate of the probability 0.958(By taking log of expression in (a) above)

(c) when the true probability is 98%, then it implies that 9800 of 10,000 bulbs did last over 6500hours.

Therefore, the likelihood is p(9800) = mat[10000, 9800]p9800(1 - p)200

(d) Method of moments estimate is the estimation of all the parameters of the population sample.

(e) The statement is FALSE because estimates by the method of moments are not necessarily sufficient statistics, because sometimes fail to take into account all relevant information in the sample. As in the above question

4 0

3 years ago

A parallelogram has a base of 9 feet and a height of feet. What is its area?