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2 years ago

5x - 4y = 19 x + 2y = 8

Mathematics

1 answer:

klemol [59]2 years ago

7 0

Answer:

(5x-4y)=19

5×19-4×19

95-76

Step-by-step explanation:

x+2y=8

x=8-2

x=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

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

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

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2 years ago

Which of the following questions is a statistical question?

MariettaO [177]

Answer:

Step-by-step explanation:

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I think that a one of the answers may be number 3 but im not 100%

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2 years ago

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Neporo4naja [7]

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3 years ago

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In the diagram, m angle SUR =32 degrees. Find mRS and m angle STR.

igomit [66]

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2 years ago

devon writes a number pattern. he starts wit 3 and follows the rules. multiply by 2. which numbers could be in devons pattern? A

Pie

Answer:

C. 24 and 96

Step-by-step explanation:

He starts with 3 and follows the rules. multiply by 2

which numbers could be in devons pattern?

3 × 2 = 6

6 × 2 = 12

12 × 2 = 24

24 × 2 = 48

48 × 2 = 96

96 × 2 = 192

The numbers that could be in Devon's pattern includes: 6, 12, 24, 48, 96, 192 etc

Therefore, the answer is C. 24 and 96

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2 years ago