All categories

2 years ago

What does ƒ(x) = 3x − 1, for ƒ(-2) mean?

Mathematics

1 answer:

zzz [600]2 years ago

6 0

Answer:

C. It means to input a -2 into the function to find the output.

Step-by-step explanation:

f(x) means to the function of x. The question is asking you to input -2 for x and find the answer.

You might be interested in

The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont

BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

$\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)$

and its cumulative distribution function (CDF) is

$\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}$

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

$\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347$

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so A∩B = B and

$\bf P(A | B) = P(B)P(B) = (P(B))^2$

We have

$\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237$

hence,

$\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313$

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

$\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}$

Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection.

This means that,

Probability that at least one of them needs replacement at the first inspection =

$\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021$

5 0

3 years ago

What is the area of a square with side lengths of 3/5 units?

umka2103 [35]

Answer:

We must solve 3/5 x 3/5.

3/5 x 3/5 = 0.36

The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.

Your final answer is 0.36

6 0

2 years ago

38% of 1200 Otto middle school students are 6th how many auto students are sixth graders

kramer

Answer:

456 students

Step-by-step explanation:

38% = 0.38

1200 x 0.38 = 456

6 0

2 years ago

Is the answer a gauze?

Zinaida [17]

I think so.. If not i am super sorry!!

8 0

3 years ago

8. Graph the following linear equations. a. X=3

saul85 [17]

Put a dot on the 3 on the X-axis. (0,3)

3 0

3 years ago