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3 years ago

Two less than three times a number is equal to 19. What is the number?

Mathematics

1 answer:

EastWind [94]3 years ago

8 0

The best way to approach a word problem like this

is to break it down into pieces, so we can understand it fully.

In this problem, we have a number, which we don't know.

We can use any variable to represent it.

So let's use the variable <em>n</em> to represent it.

"Two less than three times a number" means 3n - 2.

A common mistake is for students to put 2 - 3n.

However, the word "less than" switches the order around.

So we have 3n - 2 = 19.

Solving from here, we add 2 to both sides to get 3n = 21.

Now divide both sides of the equation by 3 and we have n = 7.

So the number is 7.

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What angle mesuare is better

HACTEHA [7]

Answer:

Angle A is the greatest.

Step-by-step explanation:

6 0

3 years ago

In the game of roulette, a player can place a $4 bet on the number 29 and have a 1/38 probability of winning. If the metal bal

creativ13 [48]

Answer:

The expected value of the game to the player is -$0.2105 and the expected loss if played the game 1000 times is -$210.5.

Step-by-step explanation:

Consider the provided information.

It is given that if ball lands on 29 players will get $140 otherwise casino will takes $4.

The probability of winning is 1/38. So, the probability of loss is 37/38.

Now, find the expected value of the game to the player as shown:

$E(x)=(140)\times \frac{1}{38}+(-4)\times \frac{37}{38}$

$E(x)=\frac{140-148}{38}$

$E(x)=\frac{-8}{38}=-$0.2105$

Hence, the expected value of the game to the player is -$0.2105.

Now find the expect to loss if played the game 1000 times.

1000×(-$0.2105)=-$210.5

Therefore, the expected loss if played the game 1000 times is -$210.5.

5 0

3 years ago

Is 10h - 10 equal to10 - 10h

Black_prince [1.1K]

Answer:no

Step-by-step explanation:

it’s equal to -10 + 10h by the commutativity of addition and subtraction

6 0

2 years ago

The final scores from the last five games of two basketball teams are given. Jumping Jackrabbits: 70, 65, 72, 80, 73 Leaping Liz

scoundrel [369]

Using the Mean Absolute Deviation(MAD) concept, it is found that:

a) The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.

b) The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.

<h3>What is the mean absolute deviation of a data-set?</h3>

The mean of a data-set is given by the sum of all observations divided by the number of observations.

The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.

The mean absolute deviation represents the average by which the values differ from the mean.

Item a:

For the Jumping Jackrabbits, the mean and MAD are given by:

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

The Jumping Jackrabbits have a MAD of 3.6 and the Leaping Lizards of 6.8.

Item b:

The MAD is lower for the Jumping Jackrabbits then for the Leaping Lizards, hence their scores are more consistent.

More can be learned about the Mean Absolute Deviation(MAD) concept at brainly.com/question/3250070

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4 0

2 years ago

Ying Ying wants to buy some petunias.

Crazy boy [7]

2 petunias leave $6.50 on her wallet, and 8 leave $5.00. This means that 6 petunias cost $1.50, and that 1 petunia costs 25 cents.

.25 goes into 3.50 (the amount of money she has left in her wallet after buying 14 petunias) 14 times. 14 + 14 =28.

Ying Ying can buy 28 petunias at most.

5 0

3 years ago