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kodGreya [7K]
2 years ago
13

Write the equation of the line through the points (-6, -19) and (2, 5).

Mathematics
1 answer:
Lelechka [254]2 years ago
5 0

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

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For every 36 minutes of sprinting, Scarlett earned 12 dollars for charity. To find the unit rate of this, I would first need to
grin007 [14]

Answer:

$1 every 3 minutes

Step-by-step explanation:

Cause every 36 minutes Scarlett earns $12 and if you divide 36 by 12 it will give 3 minutes which means she earns $1 per 3 minutes. You're right.

7 0
2 years ago
A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t
castortr0y [4]

Answer:

P(3300  

And we can find this probability with this difference:  

P(-0.8  

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

X \sim N(3500,250)  

Where \mu=3500 and \sigma=250  

We are interested on this probability  

P(3300  

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(3300  

And we can find this probability with this difference:  

P(-0.8  

6 0
3 years ago
Read 2 more answers
Find the area of the figure.
jasenka [17]
Divide into shapes that you can find the area of.....

you also have to cross out the 5 and the 4s because you will not need them

2×2= 4 sq. cm
2×2= 4 sq. cm
9×2 = 18 sq. cm

18 + 4 + 4 = 26 sq. cm

so the area is 26 sq. cm
6 0
3 years ago
The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of
Snezhnost [94]

20 minutes = 1/3 of an hour

1/3 = 0.333

 1/3 x 45mph = 15, so she drove 15 miles at 45mph

18-15 = 3

3 miles/ 20 mph = 0.15 hours


0.333+0.15 = 0.483 hours total

0.483 x 60 = 28.98 so approximately 29 minutes total driving time

7:15 + 29 minutes is 7:44 am she arrived at work

8 0
3 years ago
PLEASE HELP!! good luck will be brought back to you ❤️Which statement about the triangles is true?
vekshin1
I think it is the first one
3 0
3 years ago
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