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jek_recluse [69]
3 years ago
10

Find the inverse of y=11^x

Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

ln(x)/ln(11)

Step-by-step explanation:

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The you subtract by 4 which is 8
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How much time does it take for a squirrel to run 134 meters at a speed of 12 meters per second?
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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) = \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
I will give brainliest to best answer<br>Factorise completely (3x^2-5y^2)​
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6 0
3 years ago
Authur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189 to buy the new coat that he w
Nady [450]

Answer:

136+ m ≥ 189 is the required inequality : m: The earning in 4th week

Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least $189.

Step-by-step explanation:

The amount earned by Arthur in first 3 weeks = $136

The amount needed to buy a coat = AT LEAST $189

Let us assume the amount Arthur needs to earn more to buy  coat = $m

⇒ $ 136 + Amount Earned in 4th week  ≥ $189

⇒ 136+ m ≥ 189

The above equation is the NEEDED inequality of the given situation.

Now, solving for the value of m, we get:

136+ m ≥ 189

⇒  m ≥ 189 - 136 = 53

or, m ≥ $53

Hence, Arthur needs to earn AT LEAST $53 in the fourth week to buy the coat which costs at least 189.

3 0
3 years ago
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