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Makovka662 [10]
3 years ago
14

What is the slope of the line that passes through these two points? (-1, 4) (2, 2)

Mathematics
1 answer:
Dimas [21]3 years ago
5 0

Answer:

-2/3x

Step-by-step explanation:

1.) use the slope equation (y2-y1)/(x2-x1)

2.) substitute the points into the equation (2-4)/(2--1)

3.) solve the equation (2-4= -2) / (2--1=3)

4.) the slope is -2/3

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The measure of five of of the interior angles of a hexagon are 150, 100, 80, 165, and 150. what is the measure of the sixth inte
givi [52]

Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

7 0
2 years ago
Find the quotient.<br> 0 divided by(-16
Blababa [14]

Answer:

0 ig

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write 1,334,457. in 12 expanded form
Alchen [17]
1,000,000+3000,000+30,000+4,000+400+50+7
8 0
3 years ago
What is domain and range?
Strike441 [17]
The domain is the complete set of values for which x, or the independent variable, is possible for.

The range is the complete set of values for which y or the dependent variable is possible for.

Hope this helps. 
3 0
3 years ago
The pucks used by the National Hockey League for ice hockey must weigh between and ounces. Suppose the weights of pucks produced
Dahasolnce [82]

Answer:

P(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

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

X \sim N(5.86,0.13)  

Where \mu=5.86 and \sigma=0.13

We are interested on this probability

P(5.5

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(5.5

And we can find this probability using the normal standard distribution or excel and we got:

P(-2.769

4 0
3 years ago
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