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3 years ago

Which function below grows at the fastest rate for increasing values of x?

Mathematics

2 answers:

Elina [12.6K]3 years ago

6 0

C? I'm not sure. It seems like the most reasonable answer.

Fudgin [204]3 years ago

4 0

I believe the answer is C. g(x)=4^x but I'm not quite sure. its defiantly not D. j(x)=200x+5 because that's a straight line going a long the y-axis so it's not D.

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Of 15 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take?

Mekhanik [1.2K]

Answer:

5005

Step-by-step explanation:

6 C 15

(6, 15)

15! / (6! x 9!)

The answer is 5005

C is just a way to say the order the books are picked in is random and ! means factorial. Factorial is when you multiply all the previous numbers up to the number it is. For example, 5! = 1 x 2 x 3 x 4 x 5 and 2! = 1 x 2

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3 years ago

What is the slope of the line that passes through the points (-2,-12) and (1,-3)?

Nookie1986 [14]

Answer:

Step-by-step explanation:

Change in Y/Change in X = Slope

8 0

4 years ago

Read 2 more answers

I NEED AN ANSWER ASAP ILL GIVE 20 POINTS

Mars2501 [29]

Answer:

sorry I really need these points im so so sorry bro I need it too pass highschool

Step-by-step explanation:

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2 years ago

Read 2 more answers

What is the slope of the line? 3(y-1)=2x+2

Aleks [24]

Answer: 2/3

Step-by-step explanation:

3(y-1) = 2x + 2

Expand: 3y - 3 = 2x + 2

Isolate the y by adding 3 to both sides: 3y = 2x +5

Isolate the y by dividing 3 from both sides: y = 2/3x +5/3

Remember, in y = mx + b, m = slope.

So, 2/3 is the slope.

3 0

3 years ago

According to a survey, 60 % of the residents of a city oppose a downtown casino. Of these 60 % about 8 out of 10 strongly opp

katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

Step-by-step explanation:

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

Probability that a radomly selected resident opposes the casino: P(A)

Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the probability that a radomly selected resident opposes the casino, P(A)

Probability = number of favorable outcomes / number of possible outcomes

P(A) is given as 60%, which in decimal form is 0.60

ii) Next, determine,the probability that a resident who opposes the casino strongly opposes it, P(B/A):

It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or intersection: P(A∩B).

So, you can use the definition of conditional probability:

P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

P(A∩B) = P(B/A)×P(A) = (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that a radomly selected resident who opposes the casino does strongly oppose the casino, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

8 0

3 years ago