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Ostrovityanka [42]
3 years ago
7

What is the equation of a line going through points (-15,70) and (5,10)

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0
Simple....

you have:

(-15,70) and (5,10)

Using-->>

\frac{  y_{1} -y_{2} }{ x_{1}-  x_{2} }

\frac{70-10}{-15-5} = \frac{60}{-20} = -3

Using y=mx+b...and any of the coordinates....

70= -3(-15)+b

70=45+b

70=45+b
-45  -45

25=b

y=-3x+25

Thus,your answer.

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Find the equation of the line passing through points (-1,-6) and (3,5)
Phoenix [80]

Answer:

y=11/4x-13/4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

7 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

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 grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
2. Starting at noon, the temperature dropped steadily at a rate of 0.3 degrees Celsius
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Answer:

a. -14,2/3

b. -28,3

Step-by-step explanation:

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3 years ago
Log10(2x+1)-log10(3x+2)=1​
SIZIF [17.4K]

Answer:

x= -2

Step-by-step explanation:

If you are asking for the subtraction of the equations, then I have given the correct answer. If this is not what you are looking for, please state clearly what you are looking for and I will be happy to help!!

4 0
3 years ago
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