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givi [52]
3 years ago
9

Find a slope of the line that contains each pair of points: (-2, -6) and (4, 2)

Mathematics
1 answer:
horsena [70]3 years ago
6 0
The simplest way to do this is to use the formula where

\frac{y(2)-y(1)}{x(2)-x(1)} 

is equal to slope. 

(2--6)/(4--2)= 8/6. 

Hope this helps! 
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The time required to drive a fixed distance varies inversely as the speed. It takes 40 hr at a speed of 10 km/h to drive a fixed
patriot [66]

Answer:

50 hours

Step-by-step explanation:

Given data

Time=40hr

Speed=10km/hr

Let us find the fixed distance first

Speed= distance/Time

10= distance/40

distance= 10*40

distance= 400miles

Now our speed= 8km/h

hence the time is

8= 400/time

time= 400/8

time=50 hours

Hence the time is 50 hours

3 0
3 years ago
Heated-treated parts are specified to have a hardness of at least 45 (lower specification limit). Any parts that are below 45 ar
Nataly_w [17]

Answer:

P(X

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

P(z

The figure shows the calculation for this case.

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

X \sim N(48.5,2)  

Where \mu=48.5 and \sigma=2

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 using the normal standard table or excel and we got:

P(z

The figure shows the calculation for this case.

5 0
3 years ago
Plzzzzzzzzzzzzzzzz asap help
Mashcka [7]

Answer:

2.4

Step-by-step explanation:

Okay so first what you would do is find the common difference we can find this by doing 5/3 which is 1.66666666667 (rounded to 1.7)

Then what we do is 4 divided by 1.66666666667 which is 2.4

6 0
3 years ago
What value of "v" makes 12 = 12 + v ÷ 8 a true statement?
Anni [7]

Answer:

v = 0

Step-by-step explanation:

12 = 12 + v / 8

0 = 1/8v

v = 0

8 0
3 years ago
Tyler walked 6 miles in 3 hours. What was his walking rate in miles per hour
BARSIC [14]

Answer:

This comes out to 2 mph.

Step-by-step explanation:

Reduce the following fraction:

 6 miles

---------------

  3 hours

This comes out to 2 mph.

8 0
3 years ago
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