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Arada [10]
3 years ago
5

Mary buys last year's best-selling novel, in hardcover, for $18.00. This is with a 25% discount from the original price. What wa

s the original price of the novel?
Mathematics
2 answers:
Hitman42 [59]3 years ago
7 0
A 25% discount means u paid 75%
75% of the original price is 18...
0.75x = 18.....with x being the original price
x = 18 / 0.75
x = 24 <== the original price
Blizzard [7]3 years ago
5 0
Discount ⇒ 25%
The price after discount ⇒ 100% - 25% = 75%

Solution:
original price = percentage of original/percentage after discount × price after discount
original price = 100%/75% × 18
original price = 100/75 × 18
original price = 4/3 × 18
original price = 24

The original price was $24.00
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g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a
galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0
2 years ago
Why is adding 3/9 and 6/9 different from multiplying the two fractions?
xenn [34]
First off 3/9 and 6/9 are already common denominators. In some fractions you would need to find the least common denominator like in a problem like 1/2 + 4/5. Also 3/9 plus 6/9 results in 9/9 and 9/9 equals 1. Most fractions adding it subtracting results in a pan answer as a fraction but in this case it’s a whole number.
6 0
3 years ago
Question 1 (Essay Worth 10 points)
Svetach [21]

Answer:

Because she is concluding that her class is an accurate representation of the overall school. The sample size in this case is too small and should increase her sample size(the amount of people surveyed) in order to get a better result.

8 0
2 years ago
Sam has $400 in his bank account and plans to save $25 per week. Zoe has $250 in her bank account and plans to save $75 per week
elena-14-01-66 [18.8K]

Say x is the number of weeks until their money is equal. Then, we can set up an equation.

400 + 25x = 250 + 75x

Subtract 250 from both sides

150 + 25x = 75x

Subtract 25x from both sides

150 = 50x

Divide by 50 on both sides

3 = x

That means the answer is 3 weeks.

5 0
3 years ago
When adding two fractions do i leave the denominator how it is?
telo118 [61]
Hoi!

If the two fractions have a common denominator, then yes, you do. Only add the numerators. :)
7 0
3 years ago
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