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Ronch [10]
2 years ago
5

Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D

= {x | x is the number of heads when six coins are tossed}.
Mathematics
1 answer:
rosijanka [135]2 years ago
5 0

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

C=[x|x^{2}-4x+3]\\solving  x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

Hence the set D can be expressed as

D={0,1,2,3,4,5,6}

In conclusion, when all the set are compared only set A and set C are equal

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On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it
Elenna [48]

Answer:

957.71

Step-by-step explanation:

Given: On Monday, the closing value of a share of stock in Company ABC, was 74.01. On Tuesday, it closed at 73.67, and on Wednesday, it closed at 74.32. On Thursday, the change in stock value was -1.48. And, on Friday, Company ABC's stock gained 0.89points.

To Find: One shareholder owns 13shares of Company ABC's stock. What was the total value of their stock in this company at the close of Tuesday.

Solution:

Closing value of Shares of company ABC on Monday =74.01

Closing value of Shares of company ABC on Tuesday =73.67

Closing value of Shares of company ABC on Wednesday =74.32

on Thursday change in stock value was -1.48

Closing value of Shares of company ABC on Thursday =72.84

on Friday comapny's stock gained 0.89 points

Closing value of Shares of company ABC on Friday =73.73

As one shareholder owns 13 shares of company

Total value of shares on Tuesday is

                         =\text{number of shares}\times\text{closing stock value on tuesday}

                         =13\times73.67

                         =957.71

Hence total value of shareholder's share on close of Tuesday is 957.71

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1 year ago
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Step-by-step explanation:

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Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at din
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Answer:

To answer the problem above we let x be the number of people who prefers salad and y be the number of people who chose steak. For lunch they will be spending $41. That is,

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The values of x and y from both equations are 3 and 2, respectively. Therefore, 3 people will choose a salad

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Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per
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This is the concept of algebra, given that the length of the rectangle is 5x-2 and the width is 3x+1, the perimeter is 2(5x-2)+2(3x+1). To get the total distance Zohar needs to  cut with the scissors, we substitute the value of x=4 in the expression for perimeter. Hence we shall have:
2(5x-2)+2(3x+1)
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What is the ratio of the number of steps to the number of minutes?
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Answer:

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