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Zigmanuir [339]

3 years ago

5

A school library has 260 DVDs in its collection. Given that 45% of the DVDs are about science and 40% or about history how many

of the DVDs are about other subjects?

1 answer:

worty [1.4K]3 years ago

7 0

39 DVDs are about other subjects

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Given a function I and a subset A of its domain, let I(A) represent the range of lover the set A; that is, I(A) = {I(x) : x E A}

Ede4ka [16]

Step-by-step explanation:

(a)

Using the definition given from the problem

$f(A) = \{x^2 \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2 \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4] = f(A \cap B)\\$

Therefore it is true for intersection. Now for union, we have that

$A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]$

Therefore, for this case, it would be true that $f(A\cup B) = f(A)\cup f(B)$ .

(b)

1 is not a set.

(c)

To begin with

$A\cap B \subset A,B$

Therefore

$g(A\cap B) \subset g(A) \cap g(B)$

Now, given an element of $g(A) \cap g(B)$ it will belong to both sets, therefore it also belongs to $g(A\cap B)$ , and you would have that

$g(A)\cap g(B) \subset g(A \cap B)$ , therefore $g(A)\cap g(B) = g(A \cap B)$ .

(d)

To begin with $A,B \subset A \cup B$ , therefore

$g(A) \cup g(b) \subset g(A\cup B)$

7 0

4 years ago

Write the number that has 4 thousands,6 humdred thousands,5 ten thousands, 3 tens, and 5 ones

anyanavicka [17]

654,035 654,035 654,035 654,035 654,035 654,035 654,035

7 0

3 years ago

14n+6p-8n=18p for n is n=p/2 the answer to this question?

Hitman42 [59]

Answer:

Solved for n, <em>n = 2p</em>

Step-by-step explanation:

14n + 6p - 8n = 18p

6n + 6p = 18p

6n = 12p

n = 2p

3 0

3 years ago

a town has 2 fire engines operating independently . the probability that a specific engine is available when needed is 0.96. wha

tester [92]

Answer:

The probability that neither is available when needed

$P(A n B)^{c} = 0.04$

Step-by-step explanation:

A town has 2 fire engines operating independently

Given data the probability that a specific engine is available when needed is 0.96.

Let A and B are the two events of two fire engines

given P(A and B) = 0.96 ( given two engines are independent events so you have to select A and B)

Independent events : P( A n B) = P(A) P(B)

The probability that neither is available when needed

$P(A n B)^{c} = 1- P(A n B)$

$P(A n B)^{c} = 1- 0.96 = 0.04$

7 0

4 years ago

Goran is participating in a 6-day cross-country biking challenge. He biked for 51, 65, 62, 46, and 62 miles on the first five

zimovet [89]

Answer:

i dont understand?

Step-by-step explanation:

4 0

3 years ago