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Zielflug [23.3K]
3 years ago
14

PLEASE HELP Match each expression to the scenario it represents

Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer:

i)

0.79m

ii)

1.21m

iii)

7/5m

iv)

3/5m

Step-by-step explanation:

i)

The price of a USB memory stick selling at a 21% discount off its marked price (m)

The marked price m represents 100% of the value of the USB memory stick. Offering a 21% discount off the marked price will mean that the USB will be selling at;

(100 - 21)% of the marked price m

=79% of m

= (79/100)*m

= 0.79m

ii)

The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD.

The amount (m) needed to manufacture the CD would represent 100% of the value of the CD. Selling the CD for 21% more than the amount (m) needed to manufacture the CD will imply that the selling price is;

(100+21)% of m

= 121% of m

= (121/100)*m

= 1.21m

iii)

The final value of a painting after its initial value, m, increases by 2/5.

The initial value of the painting is given as m. The value of the painting is said to increase by 2/5 which means that the increase in its value would be;

2/5 of m

=2/5 * m

=2/5m

The final value of the painting will thus be;

initial value + increase in value

=m + 2/5m

= m(1+2/5)

=7/5m

iv)

The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy.

Initially, Nancy had a total of m markers. By giving away 2/5 of her markers to Amy, her markers reduced by;

2/5 of m

=2/5*m

=2/5m

The new number of her markers will be given by;

initial numbers - total given to Amy

= m - (2/5m)

= m(1 - 2/5)

=m(3/5)

=3/5m

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Answer: 0.8461

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=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]

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3 years ago
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