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3 years ago

Given: f(x) =x-7 and h(x)=2x+3 Write the rule for h(f(x))

Mathematics

2 answers:

Tems11 [23]3 years ago

3 1

Answer:

I think it is c I hope at least

docker41 [41]3 years ago

4 0

Answer:

f(x)= x-7

h(x)= 2x+3

Step-by-step explanation:

h(fx)= 2(x-7)+3

= 2x -14 +3

= 2x - 11

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The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

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 time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

3 years ago

Read 2 more answers

If F(x)=4x-3over7,which of the following is the inverse of F(x)

KatRina [158]

7 over 4x-3 you just flip the fraction to get the inverse

3 0

2 years ago

Read 2 more answers

Diver starts out at 339 feet below the surface. She then swims upward 207 feet. Use a signed number to

emmainna [20.7K]

Answer:

-132

Step-by-step explanation:

6 0

3 years ago

C is the point (-301, 601)<br> Does C lie on the straight line passing through A and B?

Marat540 [252]

Answer:

There is no picture or graph to go with the question so I am afraid I will not be able to give you a specific answer.

To find out if a point (x, y) is on the graph of a line, we plug in the values into that equation and see if we get a true statement, such as 10 = 10. If we get something different, like 6 = 4, we know that the point is not on the line because it does not satisfy the equation. Plug in (-301, 601) into the equation of the line to see whether that point lies on it or not.

Step-by-step explanation:

Suppose the equation of the straight line that passes through E and F is this:

y = 7x + 2

We are to figure out whether or not the point (1, 10) lies on that line. In order to do this we would plug in (1, 10) into the equation, with 1 being x and 10 being y.

10 = 7(1) + 2 = 7 + 2 = 9

10 = 9 is a false statement. Therefore, the point (1, 10) does NOT lie on the line y = 7x + 2.

If you were to provide an image or graph that shows the equation of line AB then perhaps I would be able to answer your question with a specific answer.

8 0

2 years ago

find the volume of a right circular cone that has a height of 14.7 ft and a base with a circumference of 13 ft

Doss [256]

Answer:

Volume of the cone =650.06 cubic feet

Step-by-step explanation:

Height of the cone= 14.7 feet

Circumference= 13 feet

Radius = 13/2 = 6.5 feet

Volume of the Cone:

$=\pi r^2\frac{h}{3}$

As, $\pi =\frac{22}{7}=3.14$

Putting the values in the formula:

Volume of the cone is :

$=3.14*(6.5*6.5)*\frac{14.7}{3} \\\\=3.14*(6.5*6.5)*4.9\\\\=3.14*42.25*4.9\\\\=3.14*207.03\\\\=650.06feet^3$

Volume of the cone is 650.06 cubic feet

8 0

3 years ago