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4 years ago

What is the slope of (0,0) (-6,4)

Mathematics

2 answers:

irina [24]4 years ago

5 0

Slope = -4/6 = -2/3

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Ber [7]4 years ago

5 0

The slope formula is m=-2/3

the slope formula is (y2-y1)/(x2-x1)

(0,0) is the first point and (-6,4) is the 2nd set of points

where in this case (y2=4-y1=0)/(x2=-6-x1=0)

(4-0)/(-6-0)=-2/3

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Masteriza [31]

Answer:

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3 years ago

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3 years ago

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Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).

mr Goodwill [35]

The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:

The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).

Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared

Therefore, your answer is 16 units squared.

I hope this Helps!
-Sinnamin

3 0

3 years ago

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an

Alexxx [7]

Answer:

a. s.e. = 0.338

b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%

c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%

d. The sample mean of 62.75 would represent the 15th percentile

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

s.e. = 0.338

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

p (z = -1.48) = 0.0694

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

The sample mean of 62.75 would represent the 15th percentile

7 0

3 years ago

Negative 3 over 4 t equals 5

tatuchka [14]

Answer:

5645

Step-by-step explanation:

hsususikzz577sss8d0d8x s9s72383 333rd St. east St. Louis 83inches 2is 2273

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3 years ago