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Dafna1 [17]
3 years ago
5

thelma wants to find the equation of a line that passes through the point (2,2) and is perpendicular to the line y=1/2x+5

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0
<span>perpendicular  slope :

m1 * m2 = -1

1/2 * m2 = -1

m2 = -2

y = -2x + b
 

2 = -4  +b

b = 6 

y = -2x + 6 



</span>
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What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?
Rudik [331]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

y - 3x = 2      Add 3x on both sides to change the equation to slope-intercept form

y - 3x + 3x = 2 + 3x

y = 3x + 2   The slope is 3, so the parallel line's slope is also 3.

Now that you know the slope, substitute/plug it into the equation

y = mx + b

y = 3x + b    To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself

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1 - 18 = 18 - 18 + b

-17 = b

y = 3x - 17    Your answer is the 1st option

8 0
2 years ago
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Days before a presidential​ election, a nationwide random sample of registered voters was taken. Based on this random​ sample, i
erica [24]

Answer:

We are 95% confident that the percentage of registered voters in the nation planning on voting for Robert Smith is between 49% and 55%.

Step-by-step explanation:

Given that :

Margin of Error = ±3%

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52% ± 3%

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The interpretation is that at a given confidence level ; the popukation proportion based on the sample proportion and margin of error is in the confidence interval.

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Answer/Step-by-step explanation:

Total Distance = 3Ft

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2.25 meters long and 1.8 meters wide. What is the area of the blanket
ahrayia [7]
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7 0
3 years ago
Reports on a student’s ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum
DaniilM [7]

Answer:

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

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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

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And for this case we have a score of 31

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

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