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MA_775_DIABLO [31]
2 years ago
13

The previous task asked you to select the rectangle that did not represent an enlargement of the given rectangle. explain how yo

u determined which rectangle was not an enlargement.
Mathematics
2 answers:
Fiesta28 [93]2 years ago
7 0

Answer:

The ratio table should show dimensions that are proportional to the original rectangle. That is, the dimensions of the other rectangles should be multiplied by a scale factor for the enlargement. I checked each dimension to see if it was a multiple of the original rectangle.

Step-by-step explanation:

Stells [14]2 years ago
4 0

The ratio table should show dimensions that are proportional to the original rectangle. That is, the dimensions of the other rectangles should be multiplied by a scale factor for the enlargement. I checked each dimension to see if it was a multiple of the original rectangle.


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2 years ago
How many distinct pairs of disjoint non-empty subsets of A are there, the union of which is all of A?
Mrac [35]
A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8} 
{2} U {1, 5, 6, 8} 
{5} U {1, 2, 6, 8} 
{6} U {1, 2, 5, 8} 
{8} U {1, 2, 5, 6} 
{1, 2} U {5, 6, 8} 
{1, 5} U {2, 6, 8} 
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6} 
{1, 2, 5} U {6, 8} 
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5} 
The answer is 15 distinct pairs of disjoint non-empty subsets.
5 0
2 years ago
A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting
Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= \frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees}  = \frac{6}{15}

b.) The probability that a secretary wins a ticket on second draw.  It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant  wins on first draw)

=\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}

= \frac{\frac{5}{15}  \times \frac{6}{14}}{\frac{5}{15} }  = \frac{6}{14}  .

The probability that  a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw  = \frac{6}{15} is not true.

The probability that a secretary wins on the second draw  = \frac{number \hspace{0.1cm} of  \hspace{0.1cm} secretaries  \hspace{0.1cm} remaining } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} remaining}  = \frac{6 - 1}{15 - 1}  = \frac{5}{14}

c.) The probability that a consultant wins on the first draw  =

\frac{number \hspace{0.1cm} of  \hspace{0.1cm} consultants  \hspace{0.1cm}  } { number  \hspace{0.1cm} of  \hspace{0.1cm} employees  \hspace{0.1cm} }  = \frac{5 }{15}  = \frac{1}{3}

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= \frac{6}{15}  \times \frac{5}{14}  = \frac{1}{7}

Therefore the only statement that is not true is b.)

5 0
2 years ago
The scale factor of the dimensions of two similar wood floors is 4:3. It costs $216 to refinish the smaller wood floor. At this
Ipatiy [6.2K]
In order to know the answer, we are going to solve this using proportion. 
Given that 4 is the larger wood and 3 is the smaller wood, the cost of the smaller wood is 216 now we are going to find how much is for the larger wood.
Let us represent it this way:
4:3 = x : 216 Let x be the cost of the larger wood.
Just cross multiply and divide
4 x 216 divided by 3 and we get 288. Therefore, the cost is $288. Hope this answer helps.
5 0
2 years ago
On the last day of vacation, the Ramirez family drove 252 miles from a state park to its home. The drive covered 35% of the tota
kirill115 [55]

Answer:

Step-by-step explanation:

35 percent of total miles traveled (say T)is 252 miles.

(35/100) * T=252

T=(252*100)/35 => T=720 miles

So total distance the Ramirez family traveled during its vacation is 720 miles

4 0
2 years ago
Read 2 more answers
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