An electronics firm sells four models of stereo receivers, three CD decks, and six speaker brands. When the three types of components are sold together, they form a "system." How many different systems can the electronics firm offer?A. 169
B. 72
C. 13
D. 36

Answers

Answer 1

Answer:

Answer:

B. 72

Step-by-step explanation:

The total number of different systems that can be bundled together is the product of the possible number of ways to select 1 out of 4 stereo receivers, by 1 out of 3 CD decks and by 1 out of 6 speakers. Assuming that the order at which products are picked does not matter, the number of different systems is:

$n=(4!)/((4-1)!1!)*(3!)/((3-1)!1!)*(6!)/((6-1)!1!)\nn=4*3*6\nn=72\ systems$

The electronics firm can offer 72 different systems.

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Answers

Answer:

Step-by-step explanation:

yep your correct :)

The dimensions of a rectangular flower bed on a sketch are 4 cm by 6 cm. In real life, the shorter side of the flower bed is 5 m. Find the length of the longer side.

Answers

The length of longer side of the rectangular flower bed is 7.5m .

Given, that sketch dimensions of the rectangular flower are 4 cm by 6 cm.

Conversion of meter to centimeter.

1m ⇒ 100cm

So, 100 x 5 = 500cm

Now the shorter side of the flower corresponds to 4cm.

In actual the value in centimeters,

500 ÷ 4 = 125

Length of longer side of the rectangle.

125 x 6 = 750 cm

Convert cm to m.

1cm ⇒ 0.01 m

750/100 = 7.5 m

Therefore the length of longer side of rectangle is 7.5 m

Know more about rectangle,

brainly.com/question/29085356

#SPJ3

Answer:

125.15

Step-by-step explanation:

Just do it!

you order two tacos and a salad. The salad cost $2.50. You leave a three-dollar tip. Theres is no sales tax. How much does one taco cost? Show your work.

Answers

Answer:

$5.50

Step-by-step explanation:

2.50+3.00=5.50

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A thief steals an ATM card and must randomly guess the correct 6 digit PIN code from a 40 keypad repetition of digits is allowed what is the probability of a correct guess on the first try the number of possible codes is what

Answers

1 out of a 40 chance or 2% out of a 100

1 out of 40 percent chance

What what the two coordinates be for (2x+3, 2y-9)

Answers

Answer:

(2/3, -9/2)or (2/3, 4 1/2)

Step-by-step explanation:

A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.

Answers

9514 1404 393

Answer:

(1/120 mile/min)(60 min/h)(3 h)

1.5 mile

the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

(1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

(1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Final answer:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

Explanation:

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

(1/120) * (60 * 3)

Simplifying the expression:

(1/120) * 180 = 1.5

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.