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cupoosta [38]
2 years ago
6

5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides

Mathematics
1 answer:
ASHA 777 [7]2 years ago
6 0
Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(3,-1)

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X= 1, -3, -2 or -7 and 7
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Exhibit 18-2 Students in statistics classes were asked whether they preferred a 10-minute break or to get out of class 10 minute
tankabanditka [31]

Answer:

The mean and the standard deviation of the sampling distribution of the number of students who preferred to get out early are 0.533 and 0.82

Step-by-step explanation:

According to the given data we have the following:

Total sample of students= 150

80 students preferred to get out 10 minutes early

Therefore, the mean of the sampling distribution of the number of students who preferred to get out early is = 80/150 = 0.533

Therefore,  standard deviation of the sampling distribution of the number of students who preferred to get out early= phat - p0/sqrt(p0(1-p)/)

= 0.533-0.5/sqrt(0.5*0.5/15))

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3 0
3 years ago
Read 2 more answers
3. Which linear equation corresponds to the line graph?
iogann1982 [59]

Answer:

Y=1/3x

Step-by-step explanation:

1) there is no y intercept as x=0 when y=0 so that rules out y=x-2

2) next, we will use the formula for slope to find the value of m

Y2-Y1/X2-X1

Where y2=-1

Y1=0

X2=-3

X1=0

So

-1-0/-3-0=-1/-3

Aka 1/3

So y=1/3x

Hope this helps!

3 0
3 years ago
-6x^3-4x^2+15x-5 - -x^2-8x+14
Ilya [14]

Answer:

-1

Step-by-step explanation:

7 0
3 years ago
Can someone answer number 5 plz
Georgia [21]

Answer:

C) 113 m^2

Step-by-step explanation:

diameter/2 =radius = 12/2 = 6

area = 6^2(3.14) = 6x6x3.14 = 113 m^2

5 0
3 years ago
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