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3 years ago

Write an equation in slope-intercept form with the given slope and y-intercept.

Mathematics

2 answers:

sleet_krkn [62]3 years ago

5 0

Answer: slope: 3/2

y-intercept: 0,4

Step-by-step explanation:

yuradex [85]3 years ago

4 0

Answer: y= 3x/2 -4

Step-by-step explanation:

It is already in slope-intercept form: y = mx + b

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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

3 years ago

Dwayne has a wrench set with the socket sizes of 1, 1/2, 1/4, 1/8, 1/16 what would the next size be?

lukranit [14]

Notice that the denominator is a multiplied by 2 for each fraction.

1/1•2 = 1/2

1 /2•2 = 1/4

1/4•2 = 1/8

1/8•2 = 1/16

1/16•2 =1/32

The next size is 1/32.

8 0

3 years ago

an entertainment firm offers several DJ choices and light show that range in price based on the rental time period. the DJ's cos

Mnenie [13.5K]

Answer:

219 + 159 <= x <= 369 + 309

378 <= x <= 678

Step-by-step explanation:

4 0

2 years ago

3(x-1)=2x+9 help me :(

Flura [38]

3(x - 1) = 2x + 9
3x - 3 = 2x + 9
3x (-2x) -3 (+3) = 2x (-2x) + 9 (+9)
(3x -2x) = (9 + 9)
(x) = (18)
x = 18

x = 18 is your answer

hope this helps

7 0

3 years ago

Read 2 more answers

Which are the roots of the quadratic function f(g) = 92 – 125? Select two options.

kolezko [41]

Answer:q=575

Step-by-step explanation:

6 0

3 years ago