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2 years ago

Which table represents a linear function?

Mathematics

1 answer:

Digiron [165]2 years ago

5 0

It would be the first one because it’s going up by a constant rate

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The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The ma

Lana71 [14]

Answer:

The advertisement should use 16 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.

This means that $m = 3.5, \mu = \frac{1}{3.5} = 0.2857$

What number of minutes should the advertisement use?

The values of x for which:

$P(X > x) = 0.01$

$e^{-\mu x} = 0.01$

$e^{-0.2857x} = 0.01$

$\ln{e^{-0.2857x}} = \ln{0.01}$

$-0.2857x = \ln{0.01}$

$x = -\frac{\ln{0.01}}{0.2857}$

$x = 16.12$

Rounding to the nearest number, the advertisement should use 16 minutes.

5 0

2 years ago

M(x)=x(x+6) p(x)=x(x+3)²-9 Show that m(x) and p(x) are equivalent

mamaluj [8]

Answer:

m=x+6

Step-by-step explanation:

Let's solve for m.

mx=x(x+6)

Step 1: Divide both sides by x.

2x/x= x²+6x/x

m=x+6

Hope this helps :)

PLS BRAINLIEST

5 0

2 years ago

Who’s good at algebra & can answer these with work??

AleksandrR [38]

Answer:

The answer to x2=25 is x=5

Step-by-step explanation:

When using factoring to solve this problem I just square rooted both numbers. The square root of x2 is x and the square root of 25 is 5. Sorry i couldn't help with all of them!

5 0

3 years ago

Consider the expression 6n^2 + 2n + 3. What is the coefficient of n?

Inessa [10]

Answer:

Step-by-step explanation:

The coefficient is the number in front of the variable.

So, in this case, the coefficient of n^2 is 6 and of n is 2.

4 0

3 years ago

Is the following relation a function? x y 1 4 −1 −2 3 10 5 16

Sergio [31]

No , because it doesn’t have a pattern . For example put the numbers in a chart 1+3 = 4 , -1+3 =2 , 3+7=10 , 5+11=16 , there’s no pattern

3 0

3 years ago