A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:
A. In how many ways can one component of each type beselected?
B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

Answers

Answer 1

Answer:

Step-by-step explanation:

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.

Receiver: Kenwood, Sony, Sherwood

Compact disc player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Turntable: Onkyo, Sony, Teac, Technics

A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:

A. In how many ways can one component of each type beselected?

B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?

C. In how many ways can components be selected if noneis to be sony?

D. In how many ways can a selection be made if at leastone sony component is to be included?

E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?


Related Questions

when graphing what does "b" stand for in y-intercept
a. base
b. begin
c. binomial
d. bound

Answers

Answer:

A. base

Step-by-step explanation:

if this helped please press the pink "thanks" button

Which of the following is an arithmetic sequence?
O 0, 2, 4, 6, ...
1, 2, 4, 8,...
1,4, 8, 13,...

Answers

Answer:

0,2,4,6

Step-by-step explanation:

it adds 2 each time

If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all

Answers

Answer:

there are 123 pieces of lead in all

Juanita borrowed $600 to purchase a new computer. She
was charged 7% interest for two years. She used the
simple interest formula to find the interest.
|=600(7)(2)
What error did Juanita make and how will her error affect
the interest she calculates? Explain.

Answers

Answer:

Forgot to turn the 7% into a 0.7... if you dont do that, then it will come out larger then it was supposed to be :)

Answer:

Sample response: Juanita did not change the 7% to the decimal 0.07. When she completes the problem as written, the interest will be greater than the money she borrowed.

Step-by-step explanation:

This is a sample response, be sure to change the wording up a bit.

Is this Imaginary x2 - x + 1 = 0

Answers

Answer:x= -1/2

Step-by-step explanation:

The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?

Answers

Answer:

20/6 or 10/3

Step-by-step explanation:

There are 285 sixth graders going on a class trip to the museum.each bus can hold
25 students. How many buses will be needed to transport all the students? Will all the buses be fuller? If not how many students will be on the last bus.
the buses be filled? If not, how many stuc

Answers

Answer:

11bus fuller last bus 10

Step-by-step explanation:

25×11=275

10

The triangle below is reflected over the line x = 4.
Which transformation(s) would produce the same image?
2676$10
A Reflecting over the x-axis and then translating to the right 4 units
B. Reflecting over the y-axis and then translating to the right 4 units
C Reflecting over the y-axis and then translating to the right 8 units
D Reflecting over the x-axis and then translating to the right 8 units

Answers

9514 1404 393

Answer:

  C.  Reflecting over the y-axis and then translating to the right 8 units

Step-by-step explanation:

Reflection over the line x=4 gives you the transformation ...

  (x, y) ⇒ (2·4 -x, y) = (-x +8, y)

This is precisely the same transformation you get by reflection over the y-axis:

  (x, y) ⇒ (-x, y)

followed by translation to the right 8 units:

  (-x, y) ⇒ (-x +8, y)

__

Reflection over x=4 is the same as reflection over y and translation right 8.

A map has a scale of 2 in : 6 mi. If Clayton and Centerville are 10 in apart on the map, what is the actual distance between the two cities?

Answers

Do this 2/6 times 10 that will give you 20/6 if you need to simplify then it is 10/3 hope that helps

Step-by-step explanation:

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.

Answers

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

How to convert a normal distribution variate to standard normal distribution variate?

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inches north, 4 inches east, 2 inches south, and 1 inch west. How many miles does each inch on the map represent?
0.2 miles
0.5 miles
2 miles
10 miles

Answers

0.2 miles would be your answer

Answer:

0.2 miles

Step-by-step explanation:

My cousin needs help on these questions

Answers

Answer:

Number 7.) triangle

Number 8.) Cylinder

Number 3.) Rectangle

Step-by-step explanation:

One year, the population of a city was 80,000. Several years later it was 66,400. Find
the percent decrease.

Answers

Answer:

The population decrease by 17%.

Step-by-step explanation:

This is because 66,400 is 83% of 80,000.

100%-83%= 17%

Therefore, the percentage of the population that decreased was 17%

4. A varies directly as r. If A = 12, when r = 2, calculate:
a) the value of A, when r=5

Answers

Answer:

The value of A ,when r=5 then A = 14

A varies directly to r means that A= kr
Substitute the given value : 12 = 2(k) —> k=6
Eqn : A=6r
When r=5,A= 6(5)= 30 thus A= 30

slope
y intercept
x intercept​

Answers

Answer:

Step-by-step explanation:

y = mx + b

Here, m is the slope.

b is the y-intercept

x-intercept = -b/m

y = 3x -4

a) slope = 3

b) y-intercept = (-4)

c)  x -intercept = -(-4)/3 = 4/3

[tex]y = \frac{1}{5}x-3[/tex]

a) slope =  [tex]\frac{1}{5}[/tex]

b) y-intercept = (-3)

c)  x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)

                      [tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]

       

a factory has 8 more than 10 times as many doors as a school which has s doors. how many doors does the factory have

Answers

Answer: 80

Step-by-step explanation:

8 times more than ten is 80

The factory has 10s + 8 doors.

How do I do problems like this????​

Answers

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?

Answers

162.50-35.00=127.50
127.50/12=10.63
10.63 feet of guttering were required

Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140g flour
5G butter

Simon makes 4 pancakes. Work out how much milk he needs.

Craig makes 12 pancakes. Work out how much butter he needs.

Answers

Craig needs 7.5g of butter. Simon uses 125ml of milk

Answer:

250ml milk ÷ 2 = 125 ml of milk

(5÷8) x 12 = 7.5G butter

hope this helped :)

What is the value of the following expression when b = -2 and C = 3? -12b + 5c - 15

Answers

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

What is the perimeter of the triangle?

Answers

the perimeter is 30 units

Estelle has 6 liters of juice. If she pours 0.25 liters into each glass, how many glasses of juice will she make?

Answers

Answer:

24 glasses

Step-by-step explanation:

We are given that

Estelle has juice=6 liters

She pours juice in one glass=0.25 L

We have to find the number of glasses of juice made by her.

Using unitary method

0.25 L juice pour in 1 glass

1 L juice pour in 1/0.25 glasses

6 liters  juice pour in glasses=[tex]\frac{1}{0.25}\times 6[/tex]

6 liters  juice pour in 24 glasses

Hence, she will make 24 glasses of juice.

¿cuál es mediana?.
......

.

Answers

En estadística y teoría de la probabilidad, la mediana es el valor que separa la mitad superior de la mitad inferior de una muestra de datos, una población o una distribución de probabilidad. Para un conjunto de datos, se puede considerar como un valor "medio".Espero que esto te ayude. ¡Dios bendiga!

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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

PLS SHOW THE WORK!!!!!!!!

Answers

Answer:

The answer is (-4/11, -19/11)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!

Brainly, Please?

Describe how a point on a graph is related to a table and an equation that represent the same relationship.

Answers

Answer:

because everything is relative to each other.

Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Answer:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Brainliest?!?!??!?

I need one more .

A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?

3456 games

8 games

432 games

8 cubic inches​

Answers

Answer:

432

Step-by-step explanation:

6 games x 6 games x 12 games = 432 games

Which ordered pair solves the system of equations?

Answers

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

WORTH 20 POINTS!! HELP PLEASEE
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.

A model rocket is launched off the ground at an initial velocity of 80 feet per second.

Part B: What domain makes sense for the function in this context?


1. all positive numbers

2. 0 ≤ t ≤ 100

3. 0 ≤ t ≤ 5

4. all real numbers

Answers

Answer:

Step-by-step explanation:

g(t) = -16t² + vt + h

"rocket is launched off the ground at an initial velocity of 80 feet per second"

v = 80

h = 0

g(t) = -16t² + 80t

:::::

The roots of -16t² + 80t are t=0 and t=5. In other words, the rocket hits the ground after 5 seconds.

Domain: 0 ≤ t ≥ 5

Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)

Answers

(-5,-8)
The coordinates are still the same because a rotation of 360° is a complete circle, therefore the points remain in the same spot.
Number 1, or A. 360°

y = -2x + 2 y = 5x + 9​

Answers

X=-1 y=4 hope it helps
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