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Afina-wow [57]
3 years ago
15

Please help. NOT TAKING LINKS!

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

Answer:

D. -5/6

Calculation Steps:

<em>1/6 + 2/3 =</em>

<em> 1/6 + 2 × 2/3 × 2 = </em>

<em>1/6 + 4/6 = </em>

<em>1 + 4/6 = </em><em>5/6</em>

<em />

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Let n (AUB)=32n(B)=16and n(ANB)9 find n (A)​
Lubov Fominskaja [6]

Answer:

32

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)= ? we represent with x

n(B)= 16

n(A∪B) = 32

Substituting in equation 1 to get n(A)

32  = n(A) + 9 − 9

⇒n(A) = 32 − 0

n(A)  = 32

to confirm this we put the values into the formula below

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

32 =  32 + 9 - 9

4 0
2 years ago
Read 2 more answers
Given the following: P(A) =0.3 P(B) = 0.2 P(A OR B) = 0.5 P(A AND B) = 0 Which of the following is true?a. A and B are disjoint.
erastova [34]

Answer:

a. A and B are disjoint

Step-by-step explanation:

We know that P(A and B)=0, It means that event A and event B have nothing in common and it means that event A and event B are disjoints events.

The event A and event B are independent if

P( A and B)= P(A)*P(B)

P(A)*P(B)=0.3*0.2=0.06

So, P(A and B)≠P(A)*P(B)

Hence events A and B are not independent.

Option a is A and B are disjoints which is correct

Option b is A and B are neither disjoints nor independent which is partially false as A and B are disjoints event.

Option c states that A and B are independent which is clearly false.

Option d states that A and B are disjoints and independent which is partially false as A and B are not independent.

Hence the correct option is option A.

5 0
3 years ago
Describe the transformation f(x) = 2x + 1 -&gt; g(x) = -8(x + 4) - 1
katrin2010 [14]

f(x) = 2x + 1; Paren graph = x;

The graph was shifted one unit up and stretched 2 times.

g(x) = -8(x+4) - 1 = -8x - 32 - 1 = -8x - 33

The graph was shifted 33 units down and stretched 8 times and flipped 180 degrees.

8 0
3 years ago
A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?
ale4655 [162]
First we need to calculate how many years her brother has when she is 18. As text says he is:
18/3 = 6 years old

Now when she gains another 18 years (36-18=18) he will also gain those 18 years

When she is 36 he will have 6+18=24 years old

Answer is 24.
8 0
3 years ago
Read 2 more answers
One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an
andre [41]

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.  

5 0
3 years ago
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