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Goshia [24]
3 years ago
15

What is the equation of the line that passes through the points (-4,8) and (2,-1)

Mathematics
1 answer:
DiKsa [7]3 years ago
8 0

Answer:

y - 8 = (3/2)(x + 4)

Step-by-step explanation:

As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise").  Thus, the slope is

m = rise / run = 9/6, or 3/2.

Using the point-slope form of the equation of a straight line, we get:

y - 8 = (3/2)(x + 4)

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2. Red light: Pedro drives the same route to work on Monday through Friday. His route includes one traffic light.
Nataly [62]

Answer:

So, the probability is P=0.018.

Step-by-step explanation:

We know that Pedro drives the same route to work on Monday through Friday.  

We know that  there is a 55% chance that the light will be red.  

We get that p=55%=0.55.

We conclude that the probability of not being a red light:

q=1-p=1-0.55=0.45.

We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

P=q^5\\\\P=0.45^5\\\\P=0.018

So, the probability is P=0.018.

8 0
3 years ago
What is true of the data in the dot plot? Check all that apply.
otez555 [7]

True answers for data in the plot are

The center is 13

The center is not 14

The Peak is 14.

It has three clusters

It is not symmetric to left or right it is bi-modal.

It is has a range from 10 to 15 most number of data points are 13 to 15.

Total number times Shelly waited is 16 times.

Step-by-step explanation:

  • While taking cumulative frequency 56.75 percentage comes in 13%.
  • It is the center point of the data.
  • The 14  is not the center as it shows 93rd percent.
  • It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.
  • It is not skewed on the left is has bi modal frequency has two heights.
  • The person indeed waited for 16 times adding total dots.
  • There was a zero 12 which created bi-modal distribution

8 0
3 years ago
Read 2 more answers
suppose a charity received a donation of $22.8 million. if this represents 58% of the charity's donated fund, what is the total
Mrac [35]
The total amount is "x", so, if 22.8 is 58%, "x" is the 100%,

\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
22.8&58\\
x&100
\end{array}\implies \cfrac{22.8}{x}=\cfrac{58}{100}\implies \cfrac{22.8\cdot 100}{58}=x
6 0
3 years ago
A car wash washes 68 cars in 8 hours. At this rate, how many cars are washed in 1 hour?
myrzilka [38]

Answer:

8.5 (If just pure cars then 8.)

Step-by-step explanation:

To find this, just divide 68/8 to find how many cars are washed in an hour. Plugging it into a calculator, we find out that it is 8.5. If you need elaboration, just comment.

6 0
3 years ago
Read 2 more answers
Solving Systems Using Inverses
Zanzabum

Answer:

12x the second -12x -16

Step-by-step explanation:

Solving systems of equations with 3 variables is very similar

7 0
2 years ago
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