Round the following numbers to 1 decimal place,

The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete

nata0808 [166]

Answer:

C on EdgE

Step-by-step explanation:

2020

3 0

3 years ago

How do i simplify 4x - 6(7+4x)

sdas [7]

Answer:

-42-20x

Step-by-step explanation:

Use PEMDAS, which is:

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

So first you would open parenthesis:

4x-42-24x

Then combine like terms:

4x-24x=-20x

Your answer would be -42-20x.

~Stay golden~ :)

6 0

3 years ago

Read 2 more answers

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

3 years ago

Pam is taking a train from the town of Rome to the town of Florence. Rome is located 40 miles due west of the town of Paris. Flo

tankabanditka [31]

Answer:

Pan is closest to Paris when she gets to Florence when she is 35 miles away

Step-by-step explanation:

With Paris at (0,0), Rome is 40miles west which is on the negative x axis.

Florence is 35 miles closer (east to Paris) so we have -45 + 35 = -10

and 55 mikes north of Rome which is on the positive y-axis. So Florence is at point (-10,55)

The distance between the two points Florence and Paris is √(x2 - x1)^2 + (y2 - y1)^2

x1 = 0, y1 = 0

x2 = -10, y2 = 55

So we have

√(-10-0)^2 + (55-0)^2

= √(-10)^2 + (55)^2

= √ 100 + 3025

= √3125

= 55.9 mikes from Paris

Pam is closest to Paris when she gets to Florence when she is 35 miles away

3 0

2 years ago

two pipes together can fill a tank in 12 hours alone the smaller pipe can take 7 hours longer than the larger pipe takes to fill

Rashid [163]

Well you should just have to add 7 to 12.

3 0

3 years ago