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Andru [333]
2 years ago
7

A culture started with 1000 bacteria. After 6 hours it few to 1300 bacteria. Predict how many bacteria will be present after 10

hours.
Mathematics
2 answers:
dlinn [17]2 years ago
6 0

Answer:

1350

Step-by-step explanation:

If a culture started with 1000 bacteria and after 6 hours it few to 1300 bacteria, there would be 1350 present after 10 hours.

1000 to 1100 is an increase of 100 bacteria per 6 hours.

1100+250= 1350

PIT_PIT [208]2 years ago
3 0

Answer:

1500

Step-by-step explanation:if it grows 300 in 6 hours you can assume that  each hour would increase the pop by 50 so 10 hours times 50 it will become 1500.

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How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)
Debora [2.8K]

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}.


so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.


\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope =  m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3

3 0
3 years ago
F(x)= x2<br> .<br> What is f(x) + f(x) + f(x)?<br><br> (f(x))<br> f(x) + 3<br> [3f(x)
Usimov [2.4K]

Answer:

fx2 + fx2 + fx2 = 3 f x 2

Step-by-step explanation:

3 0
3 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
2 years ago
Solve this following system by graphing <br> X-y=4<br> X+y=2
OverLord2011 [107]

Answer:

The answer is x = 3 and y = -1

Step-by-step explanation:

If you were to graph the two lines, their equations would be y = x - 4 and y = -x + 2. The two lines intersect at the point (3, -1), so the solution to the system is x = 3 and y = -1.

5 0
2 years ago
Does 3:3 or any full ratio equal 1:1?
postnew [5]

Answer:

yes

_____________________________

you can look at 3:3 as 3/3 which is 1

and 1:1 = 1/1 which is also 1

the ratio sign also means divide.

_____________________________

hope this helps :)

7 0
1 year ago
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