1x-2y=18, 4x+3y=-16 what is this answer

Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11 . (1 point)

Luden [163]

Answer: negative 9 square root of 11
explanation:
5√11 - 12√11 - 2√11
collect like terms by calculating the sum or difference of their coefficients:
(5-12-2) √11
(5-12-2) = (5-14) = -9
so, -9√11

5 0

3 years ago

4x - (-6) what’s the answer

OlgaM077 [116]

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

3 0

2 years ago

There are two games involving flipping a coin. In the first game you win a prize if you can throw between 45% and 55% heads. In

Nina [5.8K]

Answer:

d) 300 times for the first game and 30 times for the second

Step-by-step explanation:

We start by noting that the coin is fair and the flip of a coin has a probability of 0.5 of getting heads.

As the coin is flipped more than one time and calculated the proportion, we have to use the <em>sampling distribution of the sampling proportions</em>.

The mean and standard deviation of this sampling distribution is:

$\mu_p=p\\\\ \sigma_p=\sqrt{\dfrac{p(1-p)}{N}}$

We will perform an analyisis for the first game, where we win the game if the proportion is between 45% and 55%.

The probability of getting a proportion within this interval can be calculated as:

$P(0.45$

referring the z values to the z-score of the standard normal distirbution.

We can calculate this values of z as:

$z_H=\dfrac{p_H-\mu_p}{\sigma_p}=\dfrac{(p_H-p)}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_H-p)>0\\\\\\z_L=\dfrac{p_L-\mu_p}{\sigma_p}=\dfrac{p_L-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_L-p)$

If we take into account the z values, we notice that the interval increases with the number of trials, and so does the probability of getting a value within this interval.

With this information, our chances of winning increase with the number of trials. We prefer for this game the option of 300 games.

For the second game, we win if we get a proportion over 80%.

The probability of winning is:

$P(p>0.8)=P(z>z^*)$

The z value is calculated as before:

$z^*=\dfrac{p^*-\mu_p}{\sigma_p}=\dfrac{p^*-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p^*-p)>0$

As (p*-p)=0.8-0.5=0.3>0, the value z* increase with the number of trials (N).

If our chances of winnings depend on P(z>z*), they become lower as z* increases.

Then, we can conclude that our chances of winning decrease with the increase of the number of trials.

We prefer the option of 30 trials for this game.

8 0

2 years ago

-1/2y=1/2x+5 and y=2x+2

Anettt [7]

I assume this is the intersection of two lines, i.e. -1/2y is (-1/2)y. Please tell me if it's really -1/(2y).

(-1/2)y=(1/2)x+5

Multiplying both sides by -2

y = - x - 10

The other equation is

y = 2x + 2

We can equate them to find the meet

y = - x - 10 = 2x + 2

-3x = 12

x = -4

y = 2x + 2 = -6

Check: (-1/2)y=3, (1/2)x+5=3, equal, good

2x+2=2(-4)+2=-6=y, good

Answer: x=-4, y=-6

6 0

3 years ago

Which point is a solution to the system of linear equations?

Sloan [31]

The ordered pair which is a solution to the system of linear equations is: A. (3, 0).

<h3>How to determine the solution?</h3>

In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (3, 0), we have:

y = −x + 3

0 = -3 + 3

0 = 0 (True).

2x − y = 6

2(3) - 0 = 6

6 - 0 = 6

6 = 6 (True).

For ordered pair (3, -1), we have:

y = −x + 3

-1 = -3 + 3

-1 = 0 (False).

For ordered pair (0, 3), we have:

y = −x + 3

3 = 0 + 3

3 = 3 (True).

2x − y = 6

2(0) - 3 = 6

0 - 3 = 6

-3 = 6 (False).

For ordered pair (-1, 3), we have:

y = −x + 3

3 = -1 + 3

3 = 2 (False).

Read more on ordered pairs here: brainly.com/question/12179097

#SPJ1

6 0

11 months ago