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2 years ago

Ava's bacteria population is modeled by an equation. Chase models his bacteria

Mathematics

1 answer:

scoray [572]2 years ago

8 0

Answer:

P(Chase) > P(Ava)

700 > 587

Therefore, Ava's claim is wrong!

On day 14, Chase's bacteria population will be greater than Ava's bacteria population.

Step-by-step explanation:

Please refer to the attached image.

Ava's bacteria population is modeled by the following equation.

$b(t) = 200(1+0.08)^t$

Where t is time in days and b(t) is the population of the bacteria after t days.

The graph represents the population of Chase's bacteria.

Ava claims that on day 14, she will have more bacteria than Chase.

Let us compare the population of both bacteria.

Chase bacteria population when t = 14 days:

From the graph, the population is approximately 700 at t = 14 days

P(Chase) ≈ 700

Ava bacteria population when t = 14 days:

at t = 14 days

$b(t) = 200(1+0.08)^t \\\\ b(14) = 200(1.08)^{14} \\\\ b(14) = 200 (2.93719)\\\\ b(14) = 587.44$

So, the population is approximately 587 at t = 14 days

P(Ava) ≈ 587

P(Chase) > P(Ava)

700 > 587

Therefore, Ava's claim is wrong!

On day 14, Chase's bacteria population will be greater than Ava's bacteria population.

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A test has a mean of 80 with a standard deviation of 4. Which of the following scores is within one standard deviation of the me

Bogdan [553]

Answer:

Step-by-step explanation:

Mathematically, we shall be using the z-score here

Z-score = (x-mean)/SD

From the question, mean = 80 and SD = 4

So we want to get the option in the question that has a z-score of 1 or below

Let’s look at 75

80-75 = 5 ( this is clearly above 1 standard deviation of 4)

For 77;

80 -77 = 3

This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean

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2 years ago

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)? The slope is mc015-1.jpg. The slope is

lbvjy [14]

Answer:
slope of the line is -0.5
y-intercept is 13

Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c

2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13

Based on the above, the equation of the line would be:
y = -0.5x + 13

Hope this helps :)

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2 years ago

Read 2 more answers

1,250 an 15% sale an 6.5 sales tax

eimsori [14]

Given:
price = 1,250
sales discount = 15%
sales tax = 6.5%

The problem is unclear whether the price is the original price or the discounted price. I am assuming that the price is the original price.

Original price times sales discount rate is the value of sales discount
1,250 x 15% = 187.50

Original price less the value of sales discount is the discounted price.
1,250 - 187.50 = 1,062.50

Discounted price times sales tax rate is the value of the sales tax
1,062.50 x 6.5% = 69.06

Discounted price plus sales tax is the total cost of the purchase
1,062.50 + 69.06 = 1,131.56

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2 years ago

Nick is undertaking an expedition across the desert from A to B. In order to complete his journey he starts at A, walks 7km West

MaRussiya [10]

Answer:

Shorting distance = 6 km

Step-by-step explanation:

Given:

Distance walk = 7 km west

Distance walk = 24 km north

Find:

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