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Mariulka [41]
3 years ago
13

The vertices of a right triangle are (–6, 4), (0, 0), and (x, 4).

Mathematics
1 answer:
Cloud [144]3 years ago
8 0
If you put the vertices on a coordinate plane the only right angle possible is at (0,4) therefore x=0
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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

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

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

X \sim N(25.3,6.5)  

Where \mu=25.3 and \sigma=6.5

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.

6 0
3 years ago
41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h o
Afina-wow [57]

Answer:

The answer is below

Step-by-step explanation:

a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:

60 mi/h = d/x

d = 60x

When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:

40 mi/h = d/(x+1)

d = 40(x + 1) = 40x + 40

Equating both equations:

60x = 40x + 40

60x - 40x = 40

20x = 40

x = 40/20

x = 2 h

The time taken to drive there = x = 2 hours

b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours

c) The distance d = 60x = 60(2) = 120 miles

The total distance to and fro = 2d = 2(120) = 240 miles

The total time to and fro = 2 h + 3 h = 5 h

Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h

5 0
3 years ago
What is the value of x in the equation? 5 1/10x − 6 4/5 = 3 1/4
mash [69]

Answer: X=34/137 I think

Step-by-step explanation:

4 0
3 years ago
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If you took a true “if then” statement and instead a not in each clause the new statement would also be true
Strike441 [17]

Answer:

True

Step-by-step explanation:

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  • If it does not snow today, I will not have to out and clean the driveway.
  • Without going into p's and q's and true false tables, I believe the negation is also true.

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How do i divide a fraction
Arte-miy333 [17]
I am going to give you an example and then you could plug in your numbers.


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