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mina [271]
3 years ago
14

A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. Each night

the number of magic pennies doubles. How much money will the girl have after 22 ​nights?
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
8 0

Answer:

  • tn = 2097152 pennies
  • tn = 20971.52 dollars.

Step-by-step explanation:

A surprisingly large amount of money.

The question is "Does the amount of money just double or do the previous amounts add to the present amount?"

I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.

  • tn = a*2^(n - 1)
  • a = 1   She starts with 1 penny.
  • n = 22
  • tn = 1*2^(22 - 1)
  • tn = 1*2^21
  • tn = 2097152 pennies
  • tn = 20971.52 dollars.
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The thicknesses of 81 randomly selected aluminum sheets were found to have a variance of 3.23. Construct the 98% confidence inte
Yuliya22 [10]

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

[(n - 1)\times S^{2}  /  X^{2}  \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2}  / X^{2} 1- \alpha/2, n- 1 ]

We are given

Confidence level = 98%

Sample size = n = 81

Degrees of freedom = n – 1 = 80

Sample Variance = S^2 = 3.23

X^{2}_{[\alpha/2, n - 1]}   = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

Lower limit = 2.30

Upper limit = 4.83.

8 0
2 years ago
Helppppp pleaseeeeeeeeeeeeeeeeeeeee
tiny-mole [99]

Answer:

Communicative property is the third one second one is assositave  and first one is distributive

Step-by-step explanation:

4 0
3 years ago
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend
TiliK225 [7]

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

\frac{140}{168}=\frac{130}{x}

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}

Answer: 156 pounds of Organic Free Trade blend

6 0
1 year ago
Write a problem that could be modeled with y=200(0.9).
Lunna [17]

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. <em>Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is. </em>

<em>Y would be the result of 3 copies and their originals, or 2(3).</em>

<em>(6=2(3))</em>

<em>Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.</em>

<em>The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.</em>

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

<em>Let me know if this helped, or if you have any questions! </em>

3 0
3 years ago
4y + 12 = 7 - 5y thank you :)
riadik2000 [5.3K]
Y= -5 i am pretty sure
3 0
3 years ago
Read 2 more answers
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