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makvit [3.9K]
4 years ago
5

A stereo store is offering a special price on a complete set ofcomponents (receiver, compact disc player, speakers, cassette dec

k)ie one of each. A purchaser is offered a choice ofmanufacturer for each component:
Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood
CD Player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Cassette Deck: Onkyo, Sony, Teac, Technics
A switch board display in the store allows a customer to hooktogether any selection of components (consisting of one of eachtype). Use the product rules to answer the followingquestions.
In how many ways can one component of each type beselected?
Mathematics
1 answer:
Vlad [161]4 years ago
7 0

Answer: 240

Step-by-step explanation:

As per given ,

Number of choices for Receiver = 5

Number of choices for CD Player= 4

Number of choices for Speakers = 3

Number of choices for Cassette Deck =4

If a switch board display in the store allows a customer to hook together any selection of components , then by product rule

The number of ways one component of each type be selected = (Number of choices for Receiver) x (Number of choices for CD Player) x (Number of choices for Speakers )x (Number of choices for Cassette Deck)

= 5 x 4 x 3 x 4 = 240

Hence, the answer is 240.

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12. Write the first five terms of two different sequences that have 10 as the
kodGreya [7K]

Answer:

a)  The arithmetic sequence with common difference 2 that has 8 as the first term.

b) The arithmetic sequence of common difference -5 and first term 15.

Step-by-step explanation:

Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:

8, and (8+2) = 10 Therefore the second term is 10.

Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:

15, and  (15 - 5)  = 10. Therefore again a 10 as second term.

6 0
3 years ago
What is the product of the 6th square number and the 5th square number?
lukranit [14]

Answer:

900.

Step-by-step explanation:

The first 6 square numbers are 1, 4, 9, 16, 25, 36,

The required product is 25 * 36

= 900.

8 0
3 years ago
What is a three letter word used to show division in a word problem?
olasank [31]
A three-letter word used to show division in a word problem is PER.
6 0
4 years ago
Read 2 more answers
What are the names of three planes that contain point B? a planes ABD, EFG, and BDH b planes ABD, AEF, and DHF c planes CDH, ABF
Radda [10]

Answer

Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.

8 0
4 years ago
This graph shows the temperature of a room over time.
Arturiano [62]

Answer:

<u>The correct answer is C. Aaron turns on the heat and the temperature of a conference room steadily increases. After the room becomes a comfortable temperature, Aaron turns off the heat and the temperature in the room stays the same for a while. Aaron’s coworker says it is too hot in the room, so Aaron turns on the air conditioner. The temperature in the room steadily decreases. Aaron gets cold again and turns the heat back on so that the temperature of the room steadily increases. Again, when the room becomes comfortable, Aaron turns off the heat and the temperature of the room stays the same.</u>

Step-by-step explanation:

1. Let's see what happens in the conference room the first 20 minutes, according to the graph:

The temperature increase from 65 °F to 75 °F. This fact discards immediately answer B, that mentions that "the temperature of the room decreases steadily to a comfortable temperature".

2. Let's see what happens in the conference room the next 20 minutes (between minutes 20 and 40), according to the graph:

The temperature remains at 75 °F, at a comfortable temperature, during these 20 minutes. This fact discards answer D because it mentions that the "room becomes too hot", which is not true because the additional 10 °F of increase is most likely, not "too much" and it also considers 65 °F as "too cold".

3. Let's see what happens in the conference room between minutes 40 and 50, according to the graph:

In ten minutes, the temperature decreases from 75 °F to 65 °F, which was the original temperature of the room. No big difference between answers A and C, the only that are still valid.

4. Let's see what happens in the conference room between minutes 50 and 80, according to the graph:

In these 30 minutes, the temperature of the conference room again increases between minutes 50 and 70 from 65 °F to 75 °F. This last fact discards the answer A, that mentions that " finally, Aaron turns the heat back on and the temperature of the room increases steadily for the rest of the conference". What actually happened is that the temperature becomes comfortable again and stays the same the rest of the conference.

<u>This is a detailed explanation why we discard answers A, C and D and we select answer C as the right one.</u>

6 0
3 years ago
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