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3 years ago

a culture started with 2000 bacteria.after 8 hours it grew to 2400 predict how many bacteria will be present after 19 hours?

1 answer:

5 0

This is a geometric sequence but you don't know the growth factor, so you would solve for it first.

2400= 2000(x)^8

1.2= x^8

x= 1.02305188

You can round depending on what your teacher prefers.
Now you can plug in your growth factor and solve.

A(19)= 2000(1.02305188)^19

A(19)= 2000(1.54189747739)

A(19)= 3083.79495477

After 19 hours, 3,084 bacteria will be present.

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Please help!!!!!!!!!!

pogonyaev

Answer:

By hypotenuse - side test (HL) the two triangles are congruent.

Step-by-step explanation:

In ∆ABC and ∆DCB

i) angleABC = angleDCB.....(each 90°)

ii) BC = BC .....( common side)

iii) AC = DB.....(given)

therefore by hypo-side test ∆ABC congruent ∆DCB

5 0

3 years ago

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Find the probability of atleast three successes in six trials of a binomial experiment in which the probability of success is 50

yan [13]

The binomial cumulative probability with p=0.5 for 3+ successes is as follows:

$P(3+)=\sum_{k=3}^6 {{6}\choose{k}}p^k(1-p)^{6-k}$

for p=0.5 (50% success rate) it becomes:

$P(3+)=\sum_{k=3}^6 {{6}\choose{k}}0.5^6=\frac{21}{32}=0.65625$

the probability is 0.65625, or about 66%

7 0

3 years ago

I have 4 times as much money as my brother has. our total is $55.how much does each of us have?

babymother [125]

Answer:

You have 44$, your brother has 11$.

Step-by-step explanation:

Let $x$ be the amount of money your brother has.

Since you have four times the amount of money your brother has, we can call the amount of money you have $4x$ .

$x+4x=55,\\5x=55,\\x=\boxed{\$11}$

Thus, you have:

$4(11)=\boxed{\$44}$

5 0

2 years ago

Read 2 more answers

Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w

MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that $p = 0.42$

Three Americans are randomly selected

This means that $n = 3$

What is the probability that none of them voted in the last election

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951$

19.51% probability that none of them voted in the last election

6 0

2 years ago

Bob’s monthly phone bill is made up of a $10 fee plus $0.05 per minute. Bob’s phone bill for July was $22. Write an equation to

Blizzard [7]

Answer:

equation: 10 + 0.05x=22

Step-by-step explanation:

the next step after writing the equation would be to subtract 10 from both sides to get 0.05x=12. after this you would then have to divide 12 by 0.05 to get 240 minutes. you could check it by putting 240 in for x to get 10+0.05(240)=22. you would then multiply 0.05 by 240 to get 12 and then add 10 onto it to get 22 which was already given.

5 0

3 years ago

Read 2 more answers