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3 years ago

What is the simplified form of the expression? 2sqrt18 - 5sqrt32

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

7 0

Answer

26√2

Step-by-step explanation:

The trick here lies in recognizing that both 18 and 32 have factors that are perfect squares: 18 = 2*9 and 32 = 2*16. Therefore, we can write

2sqrt18 as 2√2√9, or 6√2, and 5sqrt32 as 5√2√16, or 20√2.

Then the original expression, in simplest form, is 6√2 + 20√2, or 26√2

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A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

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kirill115 [55]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

We want to write a word problem for the equation.

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Let x represent the present age of Carlos.

Four years ago, Carlos was x-4 years.

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rusak2 [61]

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