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Vladimir79 [104]
3 years ago
11

Write each ratio as a fraction in the lowest terms. 1. 2 to 42. 15/203 6:18

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

(2/4)= 1/2 ; 15/20= 3/4; 6/18=1/3

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Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the
Anna71 [15]

Given:

Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.

To find:

The coordinates of the vertices of triangle A’B’C’.

Solution:

If triangle ABC reflected across y-axis, then

(x,y)\to (-x,y)

A(-1,4)\to A_1(1,4)

B(-4,1)\to B_1(4,1)

C(-1,1)\to C_1(1,1)

Coordinates of image after reflection across y-axis are A_1(1,4),B_1(4,1),C_1(1,1).

Then triangle translated 4 units to the left to form triangle A’B’C’.

(x,y)\to (x-4,y)

A_1(1,4)\to A'(-3,4)

B_1(4,1)\to B'(0,1)

C_1(1,1)\to C'(-3,1)

Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).

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6 0
3 years ago
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i
murzikaleks [220]

Answer:

p-value: 1.000

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Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

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H_a:  p1 - p2  ≠0

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(p2) = 195/300 = 0.65

This is a 2 tailed test with a significance level of 1%.  So our critical values are:  z > 2.575  and z < -2.575

See the attached photo for the calculations for this test

8 0
3 years ago
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Answer:

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<u><em>SIMPLE INTEREST FORMULA:</em></u>

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R- Rate

T-Time

P=976

R=25

T=4 years

976*25%4

25%=0.25

Solve.

Multiply.

976*0.25*4

976*0.25*4=976

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976 and $1952.00, which is our answer.

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1 and 2/3 is the answer
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