All of the following are equal except<br> the opposite of 5<br> 0 -1-51<br> O-151<br> O 1-51

If the graph of the linear equations in a system are parallel what does that mean about possible solutions of the system?

professor190 [17]

Since, the system of linear equations are parallel

so, they will never cross or intersect each other

And we know that

solution can only be found if both lines intersect atleast one point

But here , lines are parallel

so, they never intersect each other throughout number line

Since, they never intersect

so, we won't get any common value between both lines

Hence,

There is no solution...........Answer

8 0

2 years ago

What is the sum of all the angles that are labeled?

Jobisdone [24]

Answer:

235

Step-by-step explanation:

Add the labeled angles

23+40+92+80

235

5 0

2 years ago

Read 2 more answers

Pierre throws a snowball up in the

erastovalidia [21]

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

<h3>What is the function for the ball's height?</h3>

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at brainly.com/question/25537936

3 0

1 year ago

If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000

zavuch27 [327]

Answer:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

$X \sim N(100000,20000)$