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2 years ago

5

A bag contains 3 red pens 5 blue pens and 2 black pens a pen is selected at random and is not replaced what is the probability o

f selecting a red pen then a blue pen

2 answers:

MAVERICK [17]2 years ago

6 0

Answer: 1/6

Step-by-step explanation:

3 red

5 blue

2 black

10 total

pick a red pen first: 3/10

pick a blue pen next: 5/9

3/10*5/9 = 15/90 or 1/6

LUCKY_DIMON [66]2 years ago

4 0

Answer: 1/6

Step-by-step explanation:

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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:

$P(X > x) = 0.01$

So

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

$e^{-0.2857x} = 0.01$

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

$-0.2857x = \ln{0.01}$

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

$x = 16.12$

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

5 0

3 years ago

Miranda’s financial aid stipulates that her tuition not exceed $1200. If her college charges a $90 registration fee for the term

Arlecino [84]

Answer: the greatest number of courses for which miranda can register is 2

Step-by-step explanation:

Let x represent the number of courses for which Miranda can register.

If her college charges a $90 registration fee for the term plus $475 per course, it means that the total amount that the college charges for x courses would be

475x + 90

Miranda’s financial aid stipulates that her tuition not exceed $1200(it must be at most $1200). This means that

475x + 90 ≤ 1200

475x ≤ 1200 - 90

475x ≤ 1110

x ≤ 1110/475

x ≤ 2.34

3 0

3 years ago

How to show the work for x4-y4

Juli2301 [7.4K]

I think you can solve it by
=(x^2 - y^2) *( x^2 + y^2)
= (x -y)*(x+y)*(x^2 + y^2)

6 0

3 years ago

Consider the line through (-1, -4) and (1, 2).<br> What is the slope (m) of the line?<br>

zloy xaker [14]

Answer:

<u><em>3</em></u>

Explanation:

$\bold{\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}$

$\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}$

Refine

<u><em>m = 3</em></u>

5 0

3 years ago

Find the number that is 2/3 of the way from 3/4 to 3 5/12

IRINA_888 [86]

Answer:

I got 2.527. And the 7 repeats I’m wasn’t sure if you wanted it in a fraction but it shouldn’t be difficult to convert if you have a calculator with that function

Step-by-step explanation:

3 0

2 years ago