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3 years ago

Are the tables proportional why and why not

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer:

The first table is proportional

Step-by-step explanation:

The first table's equation is y=8x. That is proportional because the equation is followed throughout the whole table.

The second table is not. You cannot just add 1 more per every column. So, the second table is not proportional.

You might be interested in

Which is the solution to the inequality?<br> y + 15 less-than 3

Arte-miy333 [17]

Hey there!

"less than" is "<"

y+15<3

Solve it:

y<3-15

y<-12

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

6 0

2 years ago

Must include explanation !!

stich3 [128]

Answer:

18.2 feet^3 of water

Step-by-step explanation:

First let's find 80% of the full capacity, which is 24. To do that, multiply 24 x 0.8, which is 19.2.

Now how much space to the fish take up? There are 8 fish, and each one takes up 1.5 cubic INCHES. 8 x 1.5 = 12 cubic inches, but we need cubic feet. Luckily, there are 12 inches in 1 foot so it'll be a clean and simple 1 foot. The "cubic" part only shows that we're measuring volume.

The 80% capacity - fish capacity = how much water is needed. That will be 19.2 - 1 = 18.2

That's it! Hopefully this helped!

7 0

3 years ago

We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2

Aliun [14]

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

3 0

3 years ago

What would .0256 be three decimal places

larisa [96]

Answer:

.026

Step-by-step explanation:

8 0

3 years ago

Someone please help me answer this question please and thank you.

fenix001 [56]

Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards. A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards. The object of the game is to be the first to get rid of all the cards in your hand.

Preparation: The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.

Shuffle the cards and deal out 7 cards to each player. Place the remaining cards in a pile (the draw pile) in the center of the table. Turn one card over to create the discard pile.

On his/her turn, each player will:

Either draw a card from the draw pile OR pick up the top card of the discard pile. (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.)

The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.

If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously.

If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.

At the end of each turn the player must place a card on the discard pile. If this is the last card in his/her hand, then he/she is the winner!

Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out. At that point, the player with the least number of cards in his/her hand is the winner.

Variation:

Students collect cards to make books but can only add a card to a book they have placed on the table themselves. At the end of the game, the player with the most books is the winner.

7 0

3 years ago