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3 years ago

Find the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}

Mathematics

1 answer:

Wittaler [7]3 years ago

8 0

Answer:

Step-by-step explanation:

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20,000 pounds equals how many English tons?

kkurt [141]

<span>2,000 pounds are a short ton also sometimes referred to as an English ton. Your 20,000 pounds are therefore 10 short tons. By contrast the Metric ton is 1,000 kg or 2,204 American pounds. 2000 pounds = 1 short ton 2240 pounds = 1 long ton</span>

4 0

3 years ago

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:

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

5 0

3 years ago

A package of aa batteries costs 3.50 plus an additional 6% tax. What is the price after tax?

Fiesta28 [93]

6% tax means 6% of $3.50

Convert 6% to decimal (move decimal 2 spots to the left): 6% ⇒ .06

Multiply 3.50 with .06 = .21 <-- That's .21 cents of 3.50

That means you have to pay an extra 21 cents. Add that to the $3.50 you had to pay.

$3.50 + $0.21 = $3.71 <-- Price after tax

6 0

3 years ago

Read 2 more answers

Please help me with this probability question.

Vikki [24]

Answer:

1.6 please correct me if im wrong by commenting

Step-by-step explanation:

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3 years ago

What is the slop of y=6x+3

GaryK [48]