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ZanzabumX [31]
3 years ago
10

100 people who were surveyed and asked the question: ``Is fuchsia kinda pink, or purply?'' Of them, 60 believe that fuchsia is `

`kinda pink'' and 27 believe it is both ``kinda pink,'' and also ``purply.'' Another 17 think that fuchsia is neither ``kinda pink'' nor ``purply.''
How many of those 100 people believe that fuchsia is ``purply''?
Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

50

Step-by-step explanation:

Let the event of people who believe that fuchsia is pink = A

Let the event of people who believe that fuchsia is purply = B

  • Since 100 people were surveyed, the Universal Set =100
  • 60 believe that fuchsia is ``kinda pink'', n(A)=60
  • 27 believe it is both ``kinda pink,'' and also ``purply.'': n(A \cap B) =27
  • 17 think that fuchsia is neither ``kinda pink'' nor ``purply. n(A \cup B)'=17

We want to determine the number of those who believe that fuchsia is ``purply'', n(B).

In set theory, we have:

U=n(A)+n(B)-n(A\cap B)+n(A \cup B)'\\100=60+n(B)-27+17\\100=50+n(B)\\n(B)=100-50\\n(B)=50

Therefore, the number of those who believe that fuchsia is ``purply'' is 50.

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A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.​
Bingel [31]

Answer:

40

Step-by-step explanation:

The first step is to calculate the base area of the prism

= 15×30

= 450

The volume is then calculated as follows

= 450×h

= 450h

The capacity is 18 liters

= 18×1000

= 18,000

Therefore the height of the rectangular prism can be calculated as follows

450h= 18,000

h= 18,000/450

= 40

Hence the height is 40 cm

3 0
3 years ago
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Oduvanchick [21]

Answer:

The scale factor is \frac{9}{7}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

\frac{18}{14}=\frac{27}{21}=\frac{9}{7}

therefore

The scale factor is 9/7

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The value of x is equal to  

\frac{x}{28}=\frac{9}{7}

x=28(\frac{9}{7})=36\ units

7 0
3 years ago
Write 1.49 x 10^-7 in standard form
Eduardwww [97]

Answer:

1.49

Step-by-step explanation:

1.49 \times 0.0000001 = 0.000000149 = 1.49

in this problem you also need to use scientific notation period to do scientific notation you need to go to the first non-zero digit after the decimal . and in this case that is one next thing you do is put the next numbers after the decimal that you just put in front of the one which is 49 in this case and that gives you your answer of 1.49

6 0
4 years ago
Does anyone know the answer to this?
ss7ja [257]

Answer: equation: y=-4x+1

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3 0
2 years ago
What percent of 55 is 34
densk [106]

Answer:

=62%

Explanation:

34/55=0.6181=0.62 rounding off to nearest 100.

34/55×100=0.62×100

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4 0
4 years ago
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