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Lemur [1.5K]
3 years ago
13

If A = {2, 3, 4, 5} B = {4, 5, 6, 7} C = {6, 7, 8, 9} D = {8, 9, 10, 11}, find (A ∪ B) ∪ C

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

(AUB)UC=2,3,4,5,6,7,8,9

put all these numbers inside curly bracket

Step-by-step explanation:

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A rectangle with an area of 5/8 ft² is dilated by a factor of 8. What is the area of the dilated rectangle?
galben [10]
A dilation is basically a factor of enlargement or reduction, where you multiply the factor for the dilation. 

So,

Multiply the numerator 5 by the factor of 8. 

5*8= 40 

40/8 ft^2= 5 ft^2

The new area if 5 ft^2. 

I hope this helps!
~kaikers
5 0
3 years ago
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Based on a​ survey, when 1009 consumers were asked if they are comfortable with drones delivering their​ purchases, 42% said yes
Darina [25.2K]

Answer:

B.The probability 0+ indicates that the probability is a very small positive value. It indicates that the event is​ possible, but very unlikely.

Step-by-step explanation:

Out of 1009 consumers a sample of 30 consumers is selected and asked the questions. So, the sample size is 30.

n = 30

Based on previous survey, 42% are comfortable with the drone. So in this sample, we can consider the probability of success to be 42%.

p = 42% = 0.42

q = 1 - p = 1 - 0.42 = 0.58

We want to find the probability of getting exactly 24 consumers who are comfortable with drones.

x = 24

Since, the sample size is fixed, the selections are independent and probability of success is constant, we can use the Binomial Probability to answer this problem. All the conditions of a Binomial Distribution are being satisfied.

According to the formula of Binomial Distribution, the probability of getting exactly x success among n trials is given as:

P( X = x )=^{n}C_{x}(p)^{x}(q)^{n-x}

Using the values, we get:

P(X = 24) =^{30}C_{24}(0.42)^{24}(0.58)^{6}= 0.00002

Thus, the probability of getting exactly 24 consumers from a sample of 30 who are comfortable with drones is 0.00002, which is extremely small.

Since, the value of probability is a very small positive number, it indicates that event is possible but very unlikely. An impossible event has probability equal to 0.

Therefore, option B gives the correct answer.

6 0
3 years ago
1/(x+1) + 1/a(x+1) find the lcm​
azamat

Answer:

See below.

Step-by-step explanation:

1/(x + 1) consists of 1 factor, 1/(x + 1)

1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)

The LCM is 1/[a(x + 1)]

The LCD is a(x + 1)

5 0
3 years ago
For pi day, Jill sells 3 apple pies and 1 lemon for &21. Jack sells 2 apple pies and 3 lemon pies for $28. What was the pric
Elena-2011 [213]
I'm guessing but not sure, wouldn't it be 7
5 0
3 years ago
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One urn contains one blue ball (labeled b1) and three red balls (labeled r1, r2, and r3). a second urn contains two red balls (r
Flura [38]

Answer:

12 possibilities

Step-by-step explanation:

In the first urn, we have 4 balls, and all of them are different, as they have different labels, so the group of two red balls r1 and r2 is different from the group of red balls r2 and r3.

The same thing occurs in the second urn, as all balls have different labels.

The problem is a combination problem (the group r1 and r2 is the same group r2 and r1).

For the first urn, we have a combination of 4 choose 2:

C(4,2) = 4!/2!*2! = 4*3*2/2*2 = 2*3 = 6 possibilities

For the second urn, we also have a combination of 4 choose 2, so 6 possibilities.

In total we have 6 + 6 = 12 possibilities.

3 0
3 years ago
Read 2 more answers
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