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Mathematics

1 answer:

borishaifa [10]3 years ago

7 0

Answer:

1) Appliances are connected in parallel

2) Appliances are connected in parallel

3) Appliances are connected in parallel (because in house , appliances are connected in parallel)

4) Advantage :- Such kind of connections assures that even if one or more appliances stops working , the working of other appliances will remain unaffected because in such connections , voltage remains constant

Disadvantage :- Such circuits can draw more power which leads to high bill charges on electricity. Also such connections need more wiring.

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Assume that 140 surveys are completed. Of those surveyed, 71 responded positively to effectiveness, 60 responded positively to s

liraira [26]

Answer:

Step-by-step explanation:

Let n(T) denotes total surveys done i.e. n(T)=140

Let n(A) be the no. of responses to positively to effectiveness i.e. n(A)=71

Let n(B) be the no. of side effects i.e.n(B) =60

Let n(C) be the no. of responses to cost i.e. n(C)= 65

33 responded positively to both effectiveness and side effects

So, n(A∩B)=33

31 to effectiveness and cost

n(A∩C)=31

28 to side effects and cost

n(B∩C)=28

21 to none of the items

So, n(A∪B∪C)=140-21 = 119

we are supposed to find ow many responded positively to all three i.e. n(A∩B∩C)

Formula:

n(A∪B∪C)=n(A)+n(B)+n(C)-n(A∩B)-n(A∩C)-n(B∩C)+ n(A∪B∪C)

119=71+60+65-33-31-28+ n(A∪B∪C)

119=104+ n(A∪B∪C)

119-104= n(A∪B∪C)

15= n(A∪B∪C)

Hence 15 responded positively to all three

7 0

3 years ago

What is the vertex of the function f(x) = x2 + 12x?

Ne4ueva [31]

Answer:

es la tercera amiga yo pienso

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3 years ago

Select the correct answer.

Marta_Voda [28]

Answer: Step 5

===================================================

Reason:

The order of operations is PEMDAS

P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction

The multiplication and division are on the same level of precedent, and the same goes for addition and subtraction. Some math textbooks may refer to PEMDAS as BODMAS, which is basically the same thing.

Notice how division comes before addition. So we must compute the $10 \div 2$ portion first before adding in step 4.