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3 years ago

Factor the expression completely 2x^2-18

Mathematics

1 answer:

Nastasia [14]3 years ago

8 0

Answer:

C)2(x-3)(x+3)

Step-by-step explanation:

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A picture frame is shaped like a rectangle whose perimeter is 196 cm. The length is 6 times long as the width

lbvjy [14]

L=length W=width
perimeter=2Lx2W
196=2L+2W

Length can be written as 6W because it is 6 times the width. We then substitute this in so all the terms are the same

196=2(6W)+2W
196=12W+2W
196=14W
W=14cm
L= (14x6) 84cm

3 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

Please help!! The answer options are 12/35, 12/37, 37/12, 35/37 Which one is it??

Oxana [17]

Answer:

sin= opposite leg/hypotenuse

Sin(a)=12/37

Step-by-step explanation:

7 0

3 years ago

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How to solve the equation 8x-5=19

tiny-mole [99]

8x-5=19

+5 on each side

8x=24

Divide by 8 on each side.

X=3

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3 years ago

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hey! please help with this!!! Write all the 12 answer of measurements. If you can’t do it and you think it’s a lot you don’t hav

Minchanka [31]

Answer:

Give it a bit of time OK I will say the answer is in the *c'h_a-t

7 0

3 years ago