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3 years ago

A trader purchased an article for 250 naira. At what price must he sell to make a profit of 20%?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

3 0

Answer:

300

Step-by-step explanation:

10% of 250 is 25. so 20% is 50

250 + 50 = 300

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A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{1}{455} = 0.0021$

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

$D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36$

Total outcomes:

12 peaches, from a set of 15. So

$T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455$

Probability:

$p = \frac{D}{T} = \frac{36}{455} = 0.0791$

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0

3 years ago

PLEASE HELP On a clock, what is the angle formed by the hour hand and minute hand at 1:30? Assume the hour and minute hand each

SpyIntel [72]

Answer:

D. 135°

Step-by-step explanation:

Time is 1:30

The minute hand traveled half of full circle

The minute hand position is:

360°×1/2= 180°

The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle

The hour hand position is:

360°×1/8= 45°

the difference between the hands:

180°-45°= 135°

Choice D. 135° is the correct one

5 0

3 years ago

When hired at a new job selling jewelry, you are given two pay options:

Savatey [412]

Answer:

Option a because you will make more orofits

3 0

3 years ago

Is the following expression true or false? Show your work.

Paul [167]

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4) • (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 - (x^2 - 16)^2 = 0

Step 2: Evaluate the following:

(x+4)2 = x^2+8x+16

(x-4)2 = x^2-8x+16

(x^2-16)2 = x^4-32x^2+256

(x^2+8x+16) (x^2-8x+16 ) - (x^4-32x^2+256 )

0 = 0

Hence True

3 0

3 years ago

Kevin can mow the lawn in 1.5 hours. Together, Kevin and Eric can mow the lawn in 30 minutes. How long will it take Eric to mow

xeze [42]

Answer:

Step-by-step explanation:

These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below

1/time took for both = 1/time took for Kevin + 1/time took for Eric

1/30 = 1/90+1/x ==> calling time took for Kevin x

solving the above 1/x = 1/30-1/90

1/x=2/90

x=45

6 0

3 years ago

A trader purchased an article for 250 naira. At what price must he sell to make a profit of 20%?​

A trader purchased an article for 250 naira. At what price must he sell to make a profit of 20%?