Ask question

Ask question

All categories

3 years ago

13

At one time during 2001 for every 20 copies of Harry Potter and the Sorcerer's Stone that were sold 13.2 copies of Harry Potter

and the Prisoner of Azkaban were sold express the ratio of copies of the Prisoner of Azkaban sold two copies of the Sorcerer's Stone sold as a percent

1 answer:

Airida [17]3 years ago

5 0

In order to solve this, you have to take the number of copies of the Prisoner of Azkaban and divide it by the number of copies of the Sorcerer's Stone:
13.2÷20=0.66
To get this into a percentage, multiply the 0.66 by 100, and get 66%, meaning that The Prisoner of Azkaban was sold only 66% as much as The Sorcerer's Stone.

You might be interested in

Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive

PtichkaEL [24]

Looks like the PMF is supposed to be

$\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}$

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

$\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65$

Next,

$\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25$

$\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5$

$\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2$
$\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5$
$\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}$

If $Y=X^2+1$ , then $X^2=Y-1\implies X=\sqrt{Y-1}$ , where we take the positive root because we know $X$ can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that $Y$ can take on the values $1^2+1=2$ , $2^2+1=5$ , and $5^2+1=26$ . At these values of $Y$ , we would have the same probability as we did for the respective value of $X$ . That is,

$\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}$

Part (5) is incomplete, so I'll stop here.

8 0

3 years ago

Find the ratio of 2500g to 35kg

Katen [24]

35kg - 3500g

3500g - 2500g

= 1000g

5 0

2 years ago

Read 2 more answers

Hannah has an offer from a credit carf issue foe 0% apr for the first 30 days and 12.22% apr afterwards, compounded daily. What

Alenkasestr [34]

DESIGNED TO INCREASE YOUR PROFIT MARGIN A highly specialized shovel machine developed for modern highspeed loading and product movement requirements. Mobility of big rubber wheels makes the Kimco Hough JH-30B Payloader an efficiency expert in agility. It reaches and goes around obstructions where track-type loaders cannot. Features a simple rugged boom with extra reach for maximum digging and breakout. Full reversing, "non-stop" power-shift transmission. Choice of gasoline or diesel power. There are two sizes in the Kimco Hough Payloader line - the JH-30B - capacity 3500 pounds and the JH6, capacity 5500 INTERNATIONAL pounds. There you go you can do it

6 0

3 years ago

What does h(40)=1820 mean in terms of the problem ? Help please

Bess [88]

Answer:h stands for hours so if they worked 40 hours they would get paid 1820 dollars

Step-by-step explanation:

5 0

3 years ago

1.)Painting Jane is painting one wall of her living room. The wall is rectangular, 13 feet wide by 9 feet high. What is the area

antiseptic1488 [7]

Answer:

1. $117 ft^{2}$

2. $54 ft^{2}$

3. $1,428 ft^{2}$

4. $644 ft^{2}$

5. $4,700 ft^{2}$

6. $57,600 ft^{2}$

Step-by-step explanation:

First use $A = w*l$

$w = width$

$l = length$

It doesn't have to be $A = w*l$ , it could be $A = l*w$ . It will be the same answer.

1. $3 ft * 9 ft = 117 ft^{2}$

2. $3 ft * 18 ft = 54 ft^{2}$

3. $42 ft * 34 ft = 1,428 ft^{2}$

4. $23 ft * 28 ft = 644 ft^{2}$

5. $94 ft * 50 ft = 4,700 ft^{2}$

6. $360 ft*160 ft = 57,600 ft^{2}$

3 0

2 years ago