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Gre4nikov [31]
3 years ago
5

If f (x) =6x-9, find f(4)​

Mathematics
2 answers:
Elden [556K]3 years ago
8 0

Answer:

f (x) =6x-9

f (4) =(6×4) -9

f (4) =24-9

f (4) = 15

kap26 [50]3 years ago
5 0

Answer:

f(4)= 15

Step-by-step explanation:

f (x) =6x-9

      = 6(4)-9

      =24-9

f(4) = 15

You might be interested in
Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos
crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c)  P(X = 2) is unusual, P(X = 0) is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

A number of sucesses x is considered unusually low if P(X \leq x) \leq 0.05 and unusually high if P(X \geq x) \geq 0.05

In this problem, we have that:

Two cans are randomly chosen, so n = 2

Two out of 18 cans are filled with diet coke, so \pi = \frac{2}{18} = 0.11

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that P(X = 2) is unusual, since P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0
3 years ago
Help ASAP ?!?? I’m struggling.
Serhud [2]

Answer:

B.

Step-by-step explanation:

C=3.14D

Circumference is equal to pi multiplied by the diameter, so 50 times 3.14 is equal to 157. 157 is closest to 160.

7 0
3 years ago
Read 2 more answers
8a. Brian has $24 worth if pizzas delivered to his house for a $3 delivery fee.
dsp73

Answer:

32.94

Step-by-step explanation:

24(.22) [Both Sales tax and tip.] = $5.28 Add to the 27. You get $32.28

Or, you could be estimating based on the delivery fee too. Which the would be this:

27(.22) = 5.94 + 27 = 32.94

5 0
3 years ago
the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side
VARVARA [1.3K]

Answer:

5

Step-by-step explanation:

A 30-60-90 triangle's sides equal as follows:

Hypotanuse= x (a number)

Long side= x/2( also can be calculated as x* 1/2) * \sqrt{3}

Short side = x/2 or x * 1/2

5 0
3 years ago
Happy Tuesday peeps brainliest and 5 star rating!!!!!!!!!!!!!!!!!
Scorpion4ik [409]
V=150.8
V=3.14*36*h/3
V=113.04*4/3
V=452.16/3
V=150.72
7 0
3 years ago
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