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svet-max [94.6K]
3 years ago
14

The endpoints of on are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line on.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0
<span>y = -1/2x +2 1/2</span>
General equation;
y = mx + c

Calculating the slope;
Change in y/ (change in x) = gradient m

(2-1)/(1-3) = - 1/2

Replacing m gives;
y= -1/2x + c

Calculating the value of c
take point (1,2) above and replace y with 2 and x with 1
2=-1/2 *1 +c
c = 2 1/2
Equation then is 
y = -1/2x +2 1/2
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Helen [10]

Answer:

See below and image

Step-by-step explanation:

180 + 48 = 228

180 + 55 = 235

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2 years ago
True or False: The relation {(3, 2), (1, 2), (7, –5), (11, 6), (17, –4), (13, 8)} is a function.
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Answer:

False

Step-by-step explanation:

This is because if you have a function which is Y=2x-4 , then trying to give an example using the given points which (3,2) , here we will have Y=2 upon replacing 3 in the function cause 3 is the value of x and vice versa if we have 2 as the value of Y then x will be 3 . However,if we get the (1,2) the answer for Y will be -2 which is different from the one we have in the question hence this concludes false

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3 years ago
-2.105 as a fraction?
Bezzdna [24]
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\frac{421}{200}.
6 0
3 years ago
At Pike Place Fish Market in Seattle, customers can purchase a variety of different types of seafood. One type of seafood sold a
allsm [11]

Answer:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

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

X \sim N(3.6,0.8)  

Where \mu=3.6 and \sigma=0.8

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.1   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

8 0
3 years ago
A scientist studying earth's rotation determines that a specific location on earth's equator travels about 40,000 kilometers in
Mama L [17]

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km              Cross Multiply

Solution

1.6*x = 1 * 40000                  Divide by 1.6

x = 40000/1.6

x = 25000 miles

             

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = <u>1041.66 </u> miles per hour

Answer: 1041.66 is what is to be entered as your answer

7 0
2 years ago
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