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yarga [219]
3 years ago
5

What value of n makes this expression equals to 6 3n-(2+n)

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
N = 4
(3)(4)-(2+4) = 12 - 6 = 6
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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
What’s the volume of a con that is 2 ft tall and a radius of 1
sashaice [31]

Answer: 2.09ft^3

Step-by-step explanation:

Formula: V=\pi r^2 \frac{h}{3}

Plug in your values.

V=(3.14)(1ft)^2(\frac{2ft}{3})

Square 1ft.

V=(3.14)(1ft^2)(\frac{2ft}{3})

Plug this into a calculator or do it manually.

V=2.09ft^3

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3 years ago
Find the slope of the line perpendicular to the given line.<br> y=-3/5x+1
Artyom0805 [142]

Answer: y= 3/5x+1

Step-by-step explanation: if you want to check if its perpendicular go on Desmos graphing calculator on goolge and plug both equations:)

5 0
4 years ago
Simplify −2(2h+10)+4h
Anuta_ua [19.1K]
First distribute: -4h - 20 + 4h
Combine like terms: -20
The answer is -20
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What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and
katrin [286]

Answer:

8

Step-by-step explanation:

4 0
3 years ago
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