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3 years ago

What is the X and Y intercept of 8(4+x)-3=12(x+y)+5

1 answer:

5 0

Lets get this into y-intercept form first, which is y =mx+b:

8(4+x)-3 = 12(x+y)+5

32+8x-3 = 12x+12y+5

-4x+24 = 12y

-1/3x+2 = y or y= -1/3x + 2

X intercept:
0 = -1/3x + 2
-2= -1/3x
6 = x

X intercept is (6,0)

Y intercept:
y = -1/3(0) + 2
y= 2

Y intercept is (0,2)

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Help and explanation.

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Answer:

Andrew

Step-by-step explanation:

Abby:

Since red cards are negative, a red 9 would represent the number -9. And because black cards are positive, a black 6 would represent the number 6. To get the sum, we add the two numbers together:

-9 + 6

That gives us a total of -3.

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We can do the same thing as before. A black seven would represent 7 and a red 8 would represent -8. Next we again add them together:

7 + (-8)

That gives us a total of -1.

Andrew:

The red 4 is -4, while the black 4 is 4:

-4 + 4

That gives us a total of 0.

Anna:

Anna has a red 8 which represents -8 and another red, a three, which would represent -3. We can add the two to get:

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2 years ago

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

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Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 4.9, \sigma = 1.4$