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goblinko [34]
4 years ago
14

It takes 16 minutes for a certain bacteria population to double. If there are 6,140,276 bacteria in this population at 9:15 AM w

hat is the best estimate in millions of the number of bacteria at 9:47 AM on the same day
Mathematics
1 answer:
ZanzabumX [31]4 years ago
5 0

Answer:

The answer to your question is: 24 561 104 bacteria

Step-by-step explanation:

every 16 minutes bacteria population double

There are 6140276 bacteria at 9:15 AM

estimate bacteria at 9:47

First calculate the minutes : 47 - 15 = 32 minutes

                                               and 32 / 16 = 2

then 2 times the bacteria population double

So,

          first time = 6140276 x 2 = 1 2280552 bacteria

          second time = 1 2280552 x 2 = 24561104 bacteria

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erica [24]

Answer:

<u>Question 1:</u>

Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.

<u>Question 2:</u>

A). y = 1.2x - 6

<u>Question 3:</u>

J). y = \frac{9}{4}x - 81

<u>Question 4:</u>

F). f(n) = -3n + 24 *<em>Although it doesn't work when f(n) = 6 and n = 6*</em>

<u />

Step-by-step explanation:

<u>Question 2:</u>

The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8

For parallel lines, their values of slope is the same.

So our line, that passes through point (5, 0), also has a slope of 1.2

Taking another point (x, y) on our line;

Slope = change in y ÷ change in x

1.2 = \frac{y - 0}{x - 5}

y = 1.2x - 1.2(5)

y = 1.2x - 6

<u>Question 3:</u>

The line passes x-axis at point (36, 0)

The line is perpendicular to another line whose equation is y = -\frac{4}{9}x + 5

For perpendicular lines, the product of their slopes = -1

Let's say the slope of our unknown line is a ;

Given: The slope of our second line is -4/9

So,

a × -4/9 = -1

a = -1 × -9/4 = 9/4

Taking another point (x, y) on our unknown line;

Slope = change in y ÷ change in x

9/4 = \frac{y - 0}{x - 36}

Cross-multiplying that you get;

y = \frac{9}{4}x - 81

<u>Question 4:</u>

The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6

3 0
4 years ago
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PLEASE HELP ME WITH THIS!!!!!​
nadezda [96]

For the given experiment of spinning a spinner and drawing a card, we will see that:

  • A) Yes, the events are independent.
  • B) P(3 and A) = 1/16
  • C) P(5 and C) = 0
  • D) P(4) = 1/4
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  • E) P(3 and not D) = 3/16

<h3>What are independent events?</h3>

We say that two events are independent if the outcome of one does not affect the outcome of the other.

In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.

<h3>How to get the probabilities?</h3>

B) First we want to get the probability of getting 3 and A.

The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:

p = 1/4

Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:

q = 2/8 = 1/4

The joint probability is the product of the two individual probabilities, we have:

P(3 and A) = p*q = 1/4*1/4 = 1/16

C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.

D) P(4) is the probability of drawing the card with the number 4, this is:

p = 1/4

P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:

q = (2 + 2)/8 = 1/2

E) P(1 and not D) is equal to: P(1 and A or B or C).

P(1) is 1/4.

P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)

Then the joint probability is:

P(1 and not D) = (1/4)*(6/8) = 3/16

If you want to learn more about probability, you can read:

brainly.com/question/251701

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