All categories

3 years ago

How do you solve -2+6(-6x+6)?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

4 0

Answer: −36x+34

Step-by-step explanation:

Equation: −2+6(−6x+6)

Step 1. distribute the equation:

−2+(6)(−6x)+(6)(6)

−2+−36x+36

Step 2. Finally combine like terms:

−2+−36x+36

(−36x)+(−2+36)

−36x+34

Final Answer:

−36x+34

Hope I could help! :)

You might be interested in

At a canning facility, a technician is testing a machine that is supposed to deliver 250 milliliters of product. The technician

Serhud [2]

Answer:

The value of the test statistic is $t = 1.97$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 250$

The alternate hypotesis is:

$H_{1} \neq 250$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the null hypothesis value, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem:

$X = 251.6, \mu = 250, \sigma = 5.4, n = 44$

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{251.6 - 250}{\frac{5.4}{\sqrt{44}}}$

$t = 1.97$

The value of the test statistic is $t = 1.97$

4 0

3 years ago

Trapezoid PQRS has been rotated to trapezoid P'Q'R'S'.

Shalnov [3]

I think it is 90
Hope this help you?!

4 0

2 years ago

phil ate three less than twice as many pancakes as sara. together they combined to eat 15 pancakes. How many pancakes did each e

Levart [38]

Answer:

Let x represents the Sara eat pancake and y represents the Phil eat the pancake.

As per the statement:

Phil ate three less than twice as many pancakes as Sara.

"Twice as many pancake as Sara" means 2x

"three less than twice as many pancakes as Sara" means 2x -3

⇒ $y = 2x-3$ .....[1]

It is also given that together they combined to eat 15 pancakes.

⇒ $x+y =15$ .....[2]

Substitute equation [1] into [2] we get;

$x+2x-3 = 15$

Combine like terms;

3x-3 =15

Add 3 to both sides we get;

3x = 18

Divide both sides by 3 we get;

x = 6

Substitute the value of x in [1] we get;

y = 2(6)-3 = 12-3 =9

y = 9

Therefore, the pancakes did each eat are;

Sara eat pancake = 6 and Phil eat pancake = 9

8 0

3 years ago

If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years? Round to the nearest tent

mr Goodwill [35]

Answer:

Step-by-step explanation:

Alright, let get started.

Suppose the initial deposit in account = x

After five years, this accounts get doubled means = 2x

Means in 5 years , the growth = $2x-x = x$

So, in 1 year, the growth will be = $\frac{x}{5}$

So, in 3 years, the growth will be = $\frac{x}{5}*3=\frac{3x}{5}$

So percent grwoth will be = $\frac{\frac{3x}{5}}{x}*100 = 60$

Hence percentage growth is 60 %. : Answer

Hope it will help :)

4 0

3 years ago

There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.

pychu [463]

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen. Here the card is chosen with replacement. This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime. Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5

When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other. Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen. This is not binomial. Here probability for drawing nth time correct 5 is P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:

6 0

3 years ago