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Leviafan [203]
3 years ago
15

Which of the following shows the intersection of the sets? {1, 4, 8, 12} {2, 4, 6, 8}

Mathematics
2 answers:
Semmy [17]3 years ago
7 0

Answer:

{ 4,8}

Step-by-step explanation:

The intersection is what the sets have in common

{1, 4, 8, 12}∩ {2, 4, 6, 8}

{ 4,8}

Alexandra [31]3 years ago
5 0

Answer:

{4, 8}

Step-by-step explanation:

The intersection of sets are the terms that appear in both sets. In this case, the only numbers that appear in both sets are 4 and 8.

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Suppose that 43% of a town's population have blue eyes, 46% have blonde hair, and 24% have both blue eyes and blonde hair. What
Varvara68 [4.7K]

We need to find the probability of the event:

having blue eyes or blond hair

This event is the union of the events:

A: having blue eyes.

B: having blond hair.

So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

We know that the probability of the intersection of A and B (having both) is

P(A ∩ B) = 24%

Also:

P(A) = 43%

P(B) = 46%

Then, using those values into the above formula, we find:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = 43% + 46% - 24%

P(A ∪ B) = (43 + 46 - 24)%

P(A ∪ B) = 65%

3 0
9 months ago
Which of the following is the last step in creating a budget?
pentagon [3]
If you list the answer choices, I might be able to help you better.
8 0
2 years ago
What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)
Vlada [557]
We want to find \displaystyle{  \frac{dy}{dx}, for

            \displaystyle{ y=(x^2+2)^3(x^3+3)^2.

Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

                                  (fg)'=f'g+g'f.

Thus,

 y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3

Answer: A)      3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3.



8 0
3 years ago
Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.
Llana [10]

Answer:

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have 0.8034=\frac{8034}{10000} =\frac{4017}{5000}

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

7 0
3 years ago
Im sooo confused please help!
Harrizon [31]
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