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2 years ago

What is the slip of a line that is parallel to the line (0,3) (3,2)

Mathematics

2 answers:

Montano1993 [528]2 years ago

6 0

Answer:

m= -1/3

Step-by-step explanation:

Slope is determined from the formula:

y2-y1/x2-x1

Input the corresponding numbers in the formula.

2-3/3-0

-1/3

m= -1/3

Sever21 [200]2 years ago

3 0

Answer:

The slope is -1/3

Step-by-step explanation:

We can find the slope of a line using the formula

m = (y2-y1)/(x2-x1)

= (2-3)/(3-0)

= (-1/3)

=-1/3

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In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe

zimovet [89]

Answer:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

$nCr=\frac{n!}{r!(n-r)!}$

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

$49C6=\frac{49!}{6!(49-6)!}$

$49C6=13,983,816\ outcomes$

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

"Besides your method, is there another method to determine the number of outcomes?"

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

$6C6=\frac{6!}{6!(6-6)!}=1$

Finally the probability of winning is:

$P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}$

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

6 0

2 years ago

Simplify the following expression 2x − 6y + 3x2 + 7y − 14x

Setler [38]

2x - 6y + 3x² + 7y - 14y = 3x² + (2x - 14x) + (-6y + 7y) = 3x² - 12x + y

4 0

2 years ago

A patient needs a total dose of 50 grams of albumin. The pharmacy has 50 m

garik1379 [7]

Answer:

4,000 bottles.

Step-by-step explanation:

Given that the patient needs a total dose of 50 grams of albumin, and the pharmacy has bottles of 50 milligrams with 25% albumin, to determine how many bottles the patient should purchase the following calculation must be performed:

1 g = 1000 mg

50 g = 50,000 mg

50 x 0.25 = 12.5

50,000 / 12.5 = X

4,000 = X

Therefore, the patient must purchase 4,000 bottles to obtain the required dosage.

5 0

3 years ago

5/12=10/? Someone please help

nasty-shy [4]

Answer:

0.4167

Step-by-step explanation:

hope i help

4 0

2 years ago

Read 2 more answers

At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is

vfiekz [6]

At a corner gas station, the revenue R varies directly with the number g of gallons of gasoline sold. If the revenue is $44.50 when the number of gallons sold is 10, find a linear equation that relates revenue R to the number g of gallons of gasoline. Then find the revenue R when the number of gallons of gasoline sold is 15.5.

Solution:
As the question mentioned the direct relationship between the quantities, hence
10 gallons of gasoline sold = $44.50
15.5 gallons of gasoline sold = $x
by cross multiplication, we get that
10x = 15.5 * 44.50
which implies that
x = 68.975
Thus by $68.975 revenue is obtained by selling 15.5 gallons of gasoline.

7 0

3 years ago