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PSYCHO15rus [73]
3 years ago
9

Suppose you have a mean standardized score of 1200 points with a standard deviation of 200 points. This data is normally distrib

uted. What is the z-score of 1300 points?
Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0
The score is given by:
z=(x-mean)/s.d
In the question above:
x=1300
mean=1200
s.d=200
Thus:
z=(1300-1200)/200
=100/200
=0.5
The answer is 0.5
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kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

\frac{4}{8}=\frac{1}{2}

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

R''(1,-2)

Part C:

PQR is congruent to P''Q''R''?

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

Then the triangles are not congruent

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11 months ago
Compare 9.36 and 9.359
Sati [7]

Try this option (this is not the only way!):

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two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is th
timurjin [86]

Answer:

(1, 7 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Then the equations of the 2 lines are

y = 4x + 3 → (1)

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Digiron [165]

Answer:

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Step-by-step explanation:

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