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trasher [3.6K]
3 years ago
14

Which of the following represents the coordinates of point A?

Mathematics
1 answer:
KiRa [710]3 years ago
8 0
The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)

The appropriate choice is
  (C) (11, 32/3)

_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
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find the z scores that seperate the middle 82% of the distribution from the area in the tails of the standard normal distributio
Anna [14]

Answer:

Step-by-step explanation:

It’s 4

7 0
3 years ago
Which system has the same situation below?
Likurg_2 [28]

Answer:

2

Step-by-step explanation:

Let's solve the given system of equations.

<u>Given system</u>

x +3y= 10 ----(1)

-2x -2y= 4 ----(2)

From (2):

-2(x +y)= 4

Dividing both sides by -2:

x +y= -2 ----(2)

Thus, options 3 and 4 are incorrect as x +y≠ -2.

(1) -(2):

(x +3y) -(x +y)= 10 -(-2)

Expand:

x +3y -x -y= 10 +2

2y= 12

Divide both sides by 2:

y= 12 ÷2

y= 6

Substitute y= 6 into (2):

x +6= -2

x= -6 -2

x= -8

Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.

-x +y

= -(-8) +6

= 8 +6

= 14

Thus, option 2 is the correct option.

7 0
2 years ago
A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of the sample proportions is a norm
Paha777 [63]

In a statistical test, the null hypothesis to be made is that the sample proportions do not have any significant differences, which means an equal distribution. This is only rejected when the estimate is equal or less than 0.95. But since in this case it is >0.95, so therefore the null hypothesis is not rejected. Therefore:

<span>False</span>

7 0
3 years ago
Solve proportion for x <br><br> 3/2x+5 = 1/9x<br><br> A. 1/5<br> B. 1/2<br> C.5/3<br> D.16/5
VikaD [51]
I know this but I can't remember how to do the process.
5 0
3 years ago
I don’t understand pls help!!
mezya [45]

Answer:

7.9 m

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

This formula can be used to solve a side of any right (90°) triangle.

c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)

So, c = 32m.

Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:

31² + b² = 32²

961 + b² = 1024 Subtract 961 from both sides to get b² by itself.

b² = 63

√b² = √63  Square root both sides to get b by itself.

b = 7.93725

Answer is 7.9 meters, rounded to tenths place

3 0
3 years ago
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