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Kisachek [45]
3 years ago
12

Simplify (5p+1.49)-(2p+6.49) Thank you!

Mathematics
1 answer:
Xelga [282]3 years ago
5 0
5p+1.49-2p-6.49
Combine like terms
3p+1.49-6.49
=3p-5



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

P(A) = 0.30

P(B) = 0.77

P(A\ n\ B) = 0.22

P(A\ u\ B) = 0.85

Explanation:

Given

See attachment for proper data presentation

n = 100 --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

Yes = 22 and No = 8

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}

P(A) = 0.30

Solving (b): P(B)

We only consider data in the Yes column.

Here:

(1) = 22    (2) = 25 and (3) = 30

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}

P(B) = 0.77

Solving (c): P(A n B)

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

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

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}

P(A\ n\ B) = 0.22

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}

P(A\ u\ B) = 0.85

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3 years ago
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hodyreva [135]

Answer:

The greatest number of people that can attend the meeting on that budget is 116

Step-by-step explanation:

The cost for the meeting is given by the following expression:

cost = 500 + 6*person

Since the budget is $1200 the cost must be at most equal to that, therefore:

1200 = 500 + 6*person

500 + 6*person = 1200

6*person = 1200 - 500

6*person = 700

person = 700/6 = 116.667

Since there can't be a 0.667 person, the greatest number of people that can attend the meeting on that budget is 116

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Answer:

Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!

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X =blank degrees is the answer
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Step-by-step explanation:

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