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2 years ago

I NEED YOUR HELLPPP!!

Mathematics

1 answer:

BaLLatris [955]2 years ago

6 0

Answer:

$y = -\frac{1}{2}x - 8$

Step-by-step explanation:

1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula: $\frac{y_2-y_1}{x_2-x_1}$

$\frac{-4-(-3)}{-8-(-10)}$
$-\frac{1}{2}$

3. Great, now that we have our slope, the equation looks like this so far: $y = -\frac{1}{2} x + b$ .

4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).

5. When plugging in the values of m and b, we get the equation of $y = -\frac{1}{2} x - 8$

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If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

Ipatiy [6.2K]

Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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 of interest for a population, and for this case we know the distribution for X is given by:

$X \sim N(5.43,0.54)$

Where $\mu=5.43$ and $\sigma=0.54$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability on this way:

$P(Z$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

6 0

3 years ago

The system has infinitely many solutions. Rearranging the left side of the 2nd equation and subtracting 3a from both sides gives

Alex_Xolod [135]

Answer:

https://web.williams.edu/Mathematics/sjmiller/public_html/105/hwsolns/HWSolns_Math105_Sp2013.pdf click the link

Step-by-step explanation:

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3 years ago

Solve by Substitution -8x-10y=12 -7x-10y=3

Harlamova29_29 [7]

Answer:

Point Form:

(−9,6)

Equation Form:

x=−9,y=6

Step-by-step explanation:

3 0

3 years ago

+ (−) = <br><br> n = <br> HELP MEEEEEE PLSSS

Korolek [52]

Answer:

Step-by-step explanation:

a positive multiplied by a negative will always give you an answer of a negative number. thats the only logical answer i can think of

4 0

2 years ago

The figure below shows two parallel lines cut by a transversal:

lubasha [3.4K]

Answer:

"They add up to 180 degrees, because they are a pair of supplementary angles"

Step-by-step explanation:

When parallel lines are cut by transversal, it creates vertical angles (opposite of each other) that are equal AND also supplementary angles (that are adjacent to each other and fall in one line). They add up to 180 degrees.

Looking at the figure, we see angle 1 and 2 fall in one line which is 180 degrees. Thus, angles 1 and 2 are supplementary, they add up to 180 degrees.

The correct choice is "They add up to 180 degrees, because they are a pair of supplementary angles"

8 0

3 years ago