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ANEK [815]
4 years ago
13

Draw a Venn diagram and use the given information to fill in the number of elements for each region. ​n(Upper A primeA′​)equals=

25​, ​n(B)equals=32, ​n(Upper A primeA′union∪Upper B primeB′​)equals=38​, ​n(Aintersect∩​B)equals=17

Mathematics
1 answer:
Vlad [161]4 years ago
4 0

Answer:

  see below

Step-by-step explanation:

It works reasonably well to start with A∩B = 17. (As a general rule, starting with the intersection of all regions makes it easier to sort out the rest.)

Then you can use B=32 to fill in A'B = 15. After that, you can use A'=25 to fill in A'B' = 10.

At this point, you can use (A∩B)' = 38 to fill in AB'=13.

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You make $250 per week what is your yearly salary
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13,000 because there are 52 weeks in a year .. so you multiply 52*250=13,000

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2. The width of a rectangle is 12 inches less than its length. The perimeter of the rect-
Alona [7]

Answer:

P= 2*Lenght + 2*Width

Since the perimeter is 56 inches we can solve for the lenght with this equation:

56 in = 2*12in + 2*Length

And solving for the length we got:

Length = \frac{56in -24 in}{2} 16 in

So then the lenght = 16 inhes and the width of 12 inches

Step-by-step explanation:

For a rectangle of width 12 inches and lenght y inches we know that the perimeter is given by:

P= 2*Lenght + 2*Width

Since the perimeter is 56 inches we can solve for the lenght with this equation:

56 in = 2*12in + 2*Length

And solving for the length we got:

Length = \frac{56in -24 in}{2} 16 in

So then the lenght = 16 inhes and the width of 12 inches

5 0
3 years ago
A sum amounted naira 2,590<br> at 10% Per annum for the<br> Period of 4 Years. Find the sum
ddd [48]

Answer:

1,769

Step-by-step explanation:

The computation of the sum is shown below:

Future value = Present value × (1 + rate of interest)^number of years

2,590 = Present value × (1 + 0.10)^4

2,590 = Present value × 1.10^4

So, the present value is

= 2,590 ÷ 1.10^4

= 2,590 ÷ 1.4641

= 1,769

8 0
3 years ago
"a frog is sitting on a stump 12 feet above the ground. it hops off the stump and lands on the ground 6 feet away. during its​ l
CaHeK987 [17]

Solution:

Given equation: h = -0.5x² + x + 12

h = 0.5

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-0.5x² + x + 11.5 = 0

Find the roots of quadratic equation.

x = ((-b )+- √(b² - 4ac))/2a

= ((-1 )+- √(1² - 4*(-0.5)*(11.5)))/2(1)

= -3.9, 5.9

The distance will not be negative.

Hence, the distance is 5.9.




3 0
3 years ago
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