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cupoosta [38]
3 years ago
8

Write two different expressions to represent the sale price of a fishing pole, f, after a 20% discount.

Mathematics
1 answer:
Rom4ik [11]3 years ago
7 0

Answer:

When we have a discount of X% of the original price, the new price is calculated as:

New price = (original price) - (original price)*(X%/100%)

In our case, let's define:

P = original price of the fishing pole

f = price of the fishing pole after the discount

X% = 20%

Then the equation for the price of the fishing pole is:

f = P - P*(20%/100%) = P - P*0.2 = P*(1 - 0.2) = P*0.8

f = 0.8*P

This means that the price after the discount is 0.8 times the original price.

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Write 90 as a product of prime factors in expanded form.
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Given :

The number is given as 90.

Explanation :

To find the product of prime factors in expanded form

90=2\times3\times3\times5

Answer :

Hence the answer is

90=2\times3\times3\times5

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How many artists could be featured in the show?
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If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a
Citrus2011 [14]

Answer:

$3

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

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3 0
2 years ago
Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

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3 years ago
The volume of a cylinder is the 48 ft the area of the base is 12 ft. what is the height of the cylinder
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4 ft is the height of the cylinder

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