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jonny [76]
2 years ago
8

The coordinate grid shows a pentagon. The pentagon is translated 4 units to the left and 9 units down to create a new pentagon.

What rule describes this transformation?
(x, y)--> (x + 4, y + 9)
(x, y)--> (x + 4, y - 9)
(x, y)--> (x - 4, y + 9)
(x, y)--> (x - 4, y - 9)
Mathematics
1 answer:
Harrizon [31]2 years ago
7 0
(X-4, y-9) since it moves left its negative and the y went down makes that negative too
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Assume that the random variable X is normally distributed, with mean ? = 50 and standard deviation ? = 7. Compute the following
sineoko [7]

Answer:

Step-by-step explanation:

Given that  the random variable X is normally distributed, with

mean  = 50 and standard deviation  = 7.

Then we have z= \frac{x-50}{7} is N(0,1)

Using this and normal table we find that

a) P(56

b) When z=0.02

we get

x=50+0.02(7)=50.14

c) 90th percentile z value =1.645

90th percentile of X =50+7(1.645)\\= 50+11.515\\=61.515

4 0
2 years ago
Point A has coordinates (-5, 3). If point (1,6) is
gtnhenbr [62]

Answer:

(3, 7)

Step-by-step explanation:

 (4/3)P -(4/3)A + A = B . . . . . . add A

 (4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

 B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

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8 0
3 years ago
, list the first five terms of each sequence, and identify them as arithmetic or geometric.
Serhud [2]

Answer:

The first 5 terms are -6,-25,-44,-63 and -82

The sequence is arithmetic

Step-by-step explanation:

Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6

A(1) = -6

A(2) = A(1) − 19 = -6 - 19 = -25

A(3) = A(2) − 19 = -25 - 19 = -44

A(4) = A(3) − 19 = -44 - 19 = -63

A(5) = A(4) − 19 = -63 - 19 = -82

So the first 5 terms are -6,-25,-44,-63 and -82

If they are in arithmetic the common difference will be same, if geometric common ratio will be same.

Let us check common difference,

                       -25-(-6) = -19

                       -44-(-25) = -19

                       -63-(-44) = -19

                       -82-(-63) = -19

So common difference is same, so the sequence is arithmetic.

3 0
3 years ago
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