1. Darla's piggy bank is full, so she plans to empty out all of the coins, roll as many as possible to deposit

into her savings account, and put the remaining coins back into the piggy bank. Rolls of pennies and

dimes consist of 50 coins each, while rolls of nickels and quarters consist of 40 coins each.

(9 points: Part 1 - 2 points; Part II - 2.5 points; Part III - 2 points; Part IV - 2.5 points)

Part II: How much will Darla deposit into her savings account?

U.S.)

Answers

Answer 1

Answer:

The number of coins is missing, so I looked for a similar question:

Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters

Darla can make:

9 rolls of pennies (worth $4.50)

7 rolls of nickels (worth $14)

8 rolls of dimes (worth $40)

6 rolls of quarters (worth $60)

total amount of money = $118.50


Related Questions

The probability of getting a white marble from the bag is 1/6. If there are eight white marbles in the bag, what is the total number of marbles in the bag?
A. 36
B. 24
C. 48
D. 14

Answers

Answer:

C: 48

Step-by-step explanation:

1/6 chance so multiply by 6, 8 marbles so multiply by 8, 8(6)=48

Answer:

48 marbles, it's C

Step-by-step explanation:

why?

Because 1/6 of the marbles are white. and there are 8 white marbles. so that means, 1/6=8 marbles.

So you just get 1/6 to 6/6

so you do, 8*6 which equals to 48

170% of what is 166?

Answers

Answer:

97.65

Step-by-step explanation:

97.65

Step-by-step explanation

Suppose that minor errors occur on a computer in a space station, which will require re-calculation. Assume the occurrence of errors follows a Poisson process with a rate of 1/2 per hour. (a) Find the probability that no errors occur during a day. (b) Suppose that the system cannot correct more than 25 minor errors in a day, in which case a critical error will arise. What is the probability that a critical error occurs since the start of a day? Keep up to the 6th decimal place in your answer. (c) Suppose the error correction protocols reset themselves so long as there are no more than five minor errors occurring within a 2 hour window. The system just started up and an error occurred. What is the probability the next reset will occur within 2 hours?

Answers

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

solve for z 3=(z+1) write your answers as integers or as proper or improper fractions

Answers

Answer:

z=2

Step-by-step explanation:

Just solve

1 + z = 3 (minus 1 on both sides)

z = 2

Plug in

3=(2+1)

3 = 3

Does anyone have the answer?

Answers

Answer:

hi to what. good bye???????

The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70​

Answers

Answer:

Y= 17.5

Step-by-step explanation:

140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5


Order from least to greatest:
-5/6,0.567,-0.11,-1/4

Answers

Answer:

-5/6,-1/4,-0.11,0.567

Step-by-step explanation:

Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup

2.4 Section Exercise 6

In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had

less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.

Part: 0/2

E

Part 1 of 2

(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.

of the meals studied, 1% of them had less than 10 grams of fat.

Answers

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!

Answers

Answer:

2034

Step-by-step explanation:

Find the surface area of the cube shown below 2.3

Answers

Answer:

2 2/3 or 8/3

Step-by-step explanation:

Formula for each side = 2/3 x 2/3

2/3 x 2/3 = 4/9

6 sides

4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9

=2 2/3 or 8/3

Answer:

2 2/3

Is the answer

function rule y=3x-3

Answers

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card

24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252

Answers

I’m pretty sure it’s c

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.

A) All red cards.

P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)

            = 0.03125

B.) at least two red cards.

P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)

= 0.8125

C.)  At most 2 red cards.

P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)

           = 0.5

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

I need help ASAP!! Please

Answers

Answer:

26.31

Step-by-step explanation:

You just have to count up the shapes in each place.

4. Tell whether the equation is a linear equation.
4x-3y = 2

Answers

Answer:

What Is X and Y

Step-by-step explanation:

Answer:

It is a linear equation.

Step-by-step explanation:

It has no squares in the equation, meaning the line is straight, therefore meaning the equation is linear.

3s (s - 2) =12s, please help me this. Thank you!

Answers

Answer: s = 0, or s = 6

Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl

Which of these is a biomorphic shape? Choose the answer.
O a capital letter W
O a microphone
an outline of a pine tree
O a pyramid

Answers

Answer:

Option C: an outline of a pine tree

Step-by-step explanation:

Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.

A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.

Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".

Thus, it is a bimorphic shape.

Answer:

C. an outline of a pine tree

Step-by-step explanation:

I just took the test!

Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?

Answers

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

Find the unknown angle measures.

Answers

Answer:

x = 9°

y = 119°

Step-by-step explanation:

Given,

y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}

or, y° = 119°

therefore, y° = 119°

Now,

52°+y°+x° = 180°{the sum of angle if triangle is 180°}

or, 52°+119°+x°= 180°

or, 171°+x° = 180°

or, x° = 180°-171°

or, x° = 9°

therefore, x° = 9°

PLEASE HELP WILL GIVE CROWN



A submarine is 50 feet below sea level. It rises toward the surface for 12 seconds at a rate of 3 feet per second.
How many feet below sea level is the submarine when it is finished rising?

Answers

3x12 is 36. 50-36 is 14. so the submarine will be at 14 feet below sea level

Answer:

14

Step-by-step explanation:

umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14

Consider the following cost function.
A. Find the average cost and marginal cost functions.
B. Determine the average and marginal cost when x = a.
C. Interpret the values obtained in part​ (b).
C(x) = 1000 + 0.1x, 0 ≤ x ≤ 50000 ≤ x ≤ 5000, a = 2000

Answers

Answer:

a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]

Marginal cost function =[tex]C'x=0.1[/tex]

b) [tex]\bar{C(2000)}=0.6[/tex]

[tex]C'(2000)=0.1[/tex]

c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Step-by-step explanation:

Cost function: [tex]C(x) = 1000 + 0.1x[/tex]

a)Find the average cost and marginal cost functions.

Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]

Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]

Marginal cost function =[tex]C'x=0.1[/tex]

b) Determine the average and marginal cost when x = a.

a = 2000

Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]

So, [tex]\bar{C(2000)}=0.6[/tex]

Marginal cost function =[tex]C'(2000)=0.1[/tex]

c)Interpret the values obtained in part​ (b).

[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?

Answers

Answer:

You're right!

Step-by-step explanation:

Answer:

Were you right?

Step-by-step explanation:

A scaled drawing of a rectangle park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of the actual park in square units?

Answers

Area of the actual park is 56000 square yards.

Step-by-step explanation:

A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.

Actual length of the park has been given as 280 yards.

So scale factor used in the drawing is 7 inches

= 280 yards

Or 1 inch = 40 yards

Since width of the rectangular park is = 5 inch

So actual width of the park will be = 5×40 = 200 yards

Now we can calculate the area of the park.

Actual area of the park = Length × Width

= 280×200

= 56000 yards²

Therefore, area of the actual park is 56000 square yards.

Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 68 pounds.
How much does Paula's dog weigh?
Use the diagram to find the weight of Paula's dog.
Carla's dog
Paula's dog
68 pounds
68 + 4 =
so Carla's dog weighs
pounds and Paula's dog weighs
pounds.
w

Answers

Answer:

51

Step-by-step explanation:

68/4=17

68-17=51

Answer:

Paula's dog weighs 51 pounds.

Carla's dog weighs 17 pounds.

17 times 3 equals 51.

Then 17 added to 51 equals to 68.

The length of a rectangle is 5 cm more than 2 times its width. The perimeter of the rectangle is 34. Define variables to find both length and width. Write an equation to find the perimeter of the rectangle. What are the dimensions of the rectangle?​

Answers

Answer:

many take time and solve it step by step

Step-by-step explanation:

sorry I am lost

You just got off the Haunted Mansion ride and the next ride you want to go
on is Splash Mountain. You have a fast pass that requires you to arrive at
Splash Mountain in 7 3⁄4 minutes. Splash Mountain is 1 3/5 miles away. You are able to cover 2/7 of a mile every minute. Can you make it to Splash Mountain?

Answers

Answer:

You can make it to Splash Mountain

Step-by-step explanation:

From the question,

The distance you need to cover to Splash Mountain is 1 3/5 miles, and the time you have to arrive there is in 7 3/4 minutes.

Also, from the question,

You are able to cover 2/7 of a mile every minute, that is

Your speed is 2/7 mile per minute

To determine if you can make it to Splash Mountain, we will determine the distance you can cover, traveling at this speed of 2/7 mile per minute for 7 3/4 minutes. If the distance you can cover is more than 1 3/5 miles, then you can make it; but if the distance you can cover is less than 1 3/5 miles, then you cannot make it.

From

Speed = Distance / Time

Distance = Speed × Time

Speed = 2/7 mile/minute

Time = 7 3/4 minutes = 31/4 minutes

∴Distance = 2/7 × 31/4

Distance = 31/14 miles = 2 3/14 miles

The distance you can cover traveling 2/7 of a mile every minute for 7 3/4 minutes is 2 3/14 miles, since this is more than 1 3/5 miles, then you can make it to Splash Mountain.

Hence, you can make it to Splash Mountain.

suppose that the life distribution of an item has the hazard rate function of what is the probability that

Answers

Answer:

that what

Step-by-step explanation:

Solve the following expression when a=5

4^2+5a-2a

Answers

Answer: 31 i think

Step-by-step explanation:

What is the midpoint of the segments with endpoints (3,7) and (9,15)

Answers

The midpoint is (6, 11)

I have attached the equation so it’s easier to understand.

To find the midpoint we do
(x^1+x^2 /2 , y^1+y^2 /2)

3, 7 is x^1, y^1
And
9, 15 is x^2, y^2

(3+9 /2 , 7+15 /2)

Add the x and y =

(12/2 , 22/2)

Now we divide both by 2 =

(6, 11)

Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

The length of a rectangle is 2 times the width. If the perimeter is to be less than 96 meters. What are the possible

values for the width? (Use w as the width)

Preview

TIP

Enter your answer using inequality notation. Example: 3 <=w<4

Use or to combine intervals. Example: w< 2 or w >= 3

Enter all real numbers for solutions of that type

Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 243,

5+4)

Enter DNE for an empty set. Use oo to enter Infinity.

Answers

Answer:

W>16

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle:

P = 2L+2W

L is the length of the rectangle

W is the width of the rectangle:

Given

P = 96m

If the length of a rectangle is 2 times the width, then L = 2W

Substitute into the formula:

Since the perimeter is less than 96m

96 < 2(2W)+2W

96 < 4W+2W

96 < 6W

Divide both sides by 6:

96/6 < 6W/6

16 < W

W>16

Hence the possible values of the width are all values greater than 16.

can someone help me with this problem

Answers

Im just answering so i can be able to message ignore me lol
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