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MrRissso [65]
2 years ago
12

If A = { a, b, c, d, e, f ) B-{ b, c, d, f, g) an C = {a,e,i,o,u), show that. A U (BnC) = (AUB) n (AUC)​

Mathematics
1 answer:
Setler79 [48]2 years ago
4 0

B\cap C=\emptyset\\A\cup(B\cap C)=\{a,b,c,d,e,f\}\\A\cup B=\{a,b,c,d,e,f,g\}\\A\cup C=\{a,b,c,d,e,f,i,o,u\}\\(A \cup B)\cap (A \cup C)=\{a,b,c,d,e,f\}

As you can see A\cup(B\cap C)=(A \cup B)\cap (A \cup C)

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Please help ASAP<br>Will be given brainliest!!!!​
zmey [24]

Answer:

C

Step-by-step explanation:

We need common denominator, which in this case is 40.

6*5 is 30 and 4*8 is 32.

We add these up 62/40

Now add the wholes, 5+4 is 9

We have an improper fraction, which will add 1 to 9, causing the answer to be C.

3 0
3 years ago
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

8 0
3 years ago
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.1. This distribution
cluponka [151]

Answer:

Step-by-step explanation:

Hello!

The definition of the Central Limi Theorem states that:

Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

X[bar]≈N(μ;σ²/n)

If the variable of interest is X: the number of accidents per week at a hazardous intersection.

There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15

I hope it helps!

5 0
3 years ago
Diane sold t-shirts at a festival and made a profit of $84 . She made $6 for each t-shirt she sold. Her total expenses were $30.
sweet-ann [11.9K]

Answer:

9 t-shirts

Step-by-step explanation:

Well if she made a profit of $30 that would mean that you would subtract $84-$30 which would give you $54. Than you would divide 54/6 to find how much t-shirts she sold.

-Hope this helped (this is one of the first questions ive answered )

7 0
3 years ago
Veronica wants to cut a sheet of paper into squares with an area of 12 square inches. For the best approximation, the length of
likoan [24]

Answer:

the first one is 48 i will have to do more solving for it but when i do i will edit my answer

Step-by-step explanation:

4 0
3 years ago
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