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Klio2033 [76]
3 years ago
15

The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment

Mathematics
1 answer:
natita [175]3 years ago
3 0
Answer:(-1,1,3)

Explanation:

The coordinates of the mid point are calculated by dividing the sum of each pair of corresponding coordinates by 2.

This is how you calculate the mid of each coordinate separately:

1) x-coordinate:

mid x-coordinate = (- 6 + 4) / 2 = -2 / 2 = - 1

2) y-coordinate

mid y-coordinate = (3 - 1) / 2 = 2 / 2 = 1

3) z-coordinate

mid z-coordinate = (4 + 2) / 2 = 6 / 2 = 3

So, the midpoint is (-1, 1 , 3)


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Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. suppose a sample of 100
seropon [69]

Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

Explanation:

Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:

SE=\frac{0.8}{\sqrt{100}}=\frac{0.8}{10} = 0.08

So, Standard Error is 0.08 million or $80,000.

Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.

\frac{1 - 1.5}{0.08}

=-6.250

-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.

Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.

5 0
3 years ago
Given the function g(x) = 4(3)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
LenaWriter [7]
Easy peasy


the average rate of change in section A is the slope from (1,g(1)) to (2,g(2))
the average rate of chagne in section B is the slope from (3,g(3)) to (4,g(4))



A.

section A
g(1)=4(3)^1=12
g(2)=4(3)^2=4(9)=36
slope=(36-12)/(2-1)=24/1=24

section B
g(3)=4(3)^3=4(27)=108
g(4)=4(3)^4=4(81)=324
slope=(324-108)/(4-3)=216/1=216



section A has an average rate of change of 24
section B has an average rate of change of 216
3 0
3 years ago
Explain how you got the answer(:
Natali [406]
Hey there :) I'm pretty sure that your answer is D) ∠S ≅ <span>∠Y because corresponding angles of similar triangles are congruent.

I think that it is the answer because if you shift your paper around, and look at the angles from different views, you can tell that angles S and Y are congruent, or the same, because of the way that both angles are at the end of the longer sides of both triangles.

So, your answer is D!

~Hope this helped!~</span>
8 0
3 years ago
Read 2 more answers
Isabel is saving money to buy a game. The game costs $8 , and so far she has saved one-fourth of this cost. How much money has I
Neko [114]
Isabel has saved $2.
5 0
3 years ago
Read 2 more answers
Help please stuck again .
xenn [34]
If the polygons are similar, then the top side is equal to one half of the left side.
Since side (x -1) = 8, then x = 9.


3 0
3 years ago
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