At the candy store, Sophie filled a bag with 2 2/3 kilograms of candy. 1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh? ​

Answer:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 125[/tex]

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

[tex]Pr = \frac{Frequency}{n}[/tex]

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]

[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]

[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]

When the frequency is to be calculated, we use:

[tex]Pr = \frac{Frequency}{n}[/tex]

[tex]Frequency = n * Pr[/tex]

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

[tex]Frequency(3) = 125 * 0.144 = 18[/tex]

[tex]Frequency(5) = 125 * 0.296 = 37[/tex]

For roll of 1 where the frequency and the probability are not known, we use:

[tex]Total \ Frequency = 125[/tex]

So:

Frequency(1) added to others must equal 125

This gives:

[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]

[tex]Frequency(1) + 103 = 125[/tex]

Collect like terms

[tex]Frequency(1) =- 103 + 125[/tex]

[tex]Frequency(1) =22[/tex]

The probability is then calculated as:

[tex]Pr(1) = \frac{22}{125}[/tex]

[tex]Pr(1) = 0.176[/tex]

So, the complete table is:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Answer: 4.44

HOPE THIS HELPS

Answer:

True.

Explanation:

The more experiments that are performed, the more data can be collected.

Answer:

17.3 ft

Step-by-step explanation:

To find the second leg, use the following: √c² - a². Substitute c for 28, and a for 22.

b = √28² - 22² {Square 28 to get 784, and square 22 to get 484.}

b = √784 - 484 {Subtract 484 from 784 to get 300.}

b = √300 {Find the square root of 300.}

b = 17.32051 {Round to the nearest tenth.}

b = 17.3 ft.

The bottom of the ladder will be 17.3 ft from the bottom of the building.

I hope this helps! ^w^

Answer:

105°

Step-by-step explanation:

since its a straight line then put it equal to 180. First we add and then subtract from 180, like this.

52+23=75

180-75=105

Answer:

190

Step-by-step explanation:

its 170 because 380-170=190

Answer:

84 yards squared

Step-by-step explanation:

Use the formula- A= 1/2(b1 +b2)h

So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)

Answer:

The answer is (C) BFD

Step by step

We can see that angles DFE and AFB have a common vertex F but they do not have a common side, so the angles are not adjacent. The other options are also incorrect so the answer is C.

Answer: That is right

Step-by-step explanation:

Answer:

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

Answer:

Step-by-step explanation:

f(x) = x^3

To get this to move right, you must do the opposite to what you think you should do.

f(x) =(x - 2)^3.  

That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0

Now you want f(x) to move up 3 units.

f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units

Let's see if this is correct.

If you look at the graphs,

The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.

Answer:

its 23.5

Step-by-step explanation:

Answer:

d 26

Step-by-step explanation:

AC=24

AB=AC/2=12

AD²=AB²+BD²

AD²=5²+12²=25+144=169

AD=√169=13

AE=2*13=26

Answer:

9/20 square miles

Step-by-step explanation:

9/10× 1/2= 9/20 square miles

Answer:

Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates

Step-by-step explanation:

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Step-by-step explanation:

I hope it will help you

Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

[tex] \frac{3}{2} [/tex]

[tex] 1\frac{1}{2} [/tex]

is your answer.

Answer:

18

Step-by-step explanation:

The answer is B, 18

Answer:

The person above me is correct

Step-by-step explanation:

Answer:

The amount is $1346.86 and the interest is $346.86.

Step-by-step explanation:

To start, use the formula A = P(1+[tex]\frac{r}{n}[/tex])ⁿ°ᵇ [In this case b = time in years]

So, P =  $1000, r = 6$, n = 4 and B = 5 years

After plugging it in you get,

                                                  A = 1000(1+[tex]\frac{.06}{4}[/tex])⁴°⁵

                                                  A = 1000 x 1.015^20

                                                  A = 1000 x 1.346855

                                                  A = 1346.86

To find the interest, use the formula A= P + I; Since A = 1346.86 and P = 1000 you get:

                                                  1346.86 = 1000 + I

                                                  I = 1346.86 - 1000

                                                  I = 346.86

Then you're finished! Hope this helped!

Brainliest would be appreciated! :)

Answer:

a

Step-by-step explanation:

Answer: 3

Step-by-step explanation: Start off by solving the right side of the equation: 4 x 2 is 8 and 6 - 3 is 3, and then you must do 8 x 3 which is 24. Now, the equation should look like this: 24 = 4 x _ x 2. Next, you should go a step further with the left side of the equation by multiplying 4 and 2. Now, the equation should look like this: 24 = 8 x _. For the final step, you must divide 8 on both sides to solve for the missing number. Since 24 divided by 8 is 3, your answer is 3.

17 meters because 5^2+12^2=17 meaning the answer must be d

Answer:

yes you are right! the answer is c

Step-by-step explanation:

**reminder: the hypotnuse is always your longest side**

first do 5 square = 25

then do 12 squared = 144

now add 25+144= 169

and finally you do 169 square root which equals 13

Hope this helped!

Answer:

Solution given:

5x-6=29.

5x=29+6

x=35/5=7

x=7 is your answer

Answer:

x=7

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

2,4,6,8,10,&12

1, 2,3, 4, 5, &6

Hope this helps :)

Given:

[tex]\cos A=\dfrac{4}{\sqrt{65}}[/tex]

[tex]\sin B=\dfrac{1}{\sqrt{2}}[/tex]

A and B both lies in I quadrant.

To find:

The value of [tex]\sin (A+B)[/tex].

Solution:

We know that, all trigonometric ratios are positive in first quadrant.

[tex]sin^2\theta +\cos^2\theta =1[/tex]

Using this we get

[tex]\sin^2A +\cos^2A =1[/tex]

[tex]\sin^2A +\left(\dfrac{4}{\sqrt{65}}\right)^2 =1[/tex]

[tex]\sin^2A +\dfrac{16}{65}=1[/tex]

[tex]\sin^2A =1-\dfrac{16}{65}[/tex]

Taking square root on both sides, we get

[tex]\sin A =\sqrt{\dfrac{65-16}{65}}[/tex]         [Only positive because A lies in I quadrant]

[tex]\sin A =\sqrt{\dfrac{49}{65}}[/tex]

[tex]\sin A =\dfrac{7}{\sqrt{65}}[/tex]

Similarly,

[tex]\sin^2B +\cos^2B =1[/tex]

[tex]\left(\dfrac{1}{\sqrt{2}}\right)^2 +\cos^2B =1[/tex]

[tex]\dfrac{1}{2}+\cos^2B =1[/tex]

[tex]\cos^2B =1-\dfrac{1}{2}[/tex]

Taking square root on both sides, we get

[tex]\cos B =\sqrt{\dfrac{2-1}{2}}[/tex]         [Only positive because B lies in I quadrant]

[tex]\cos B =\sqrt{\dfrac{1}{2}}[/tex]

[tex]\cos B =\dfrac{1}{\sqrt{2}}[/tex]

Now,

[tex]\sin (A+B)=\sin A\cos B+\cos A\sin B[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}+\dfrac{4}{\sqrt{65}}\times \dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin (A+B)=\dfrac{7}{\sqrt{130}}+\dfrac{4}{\sqrt{130}}[/tex]

[tex]\sin (A+B)=\dfrac{11}{\sqrt{130}}[/tex]

Therefore, the exact value of [tex]\sin (A+B)[/tex] is [tex]\dfrac{11}{\sqrt{130}}[/tex].

Answer:

The answer is $2.52.

Step-by-step explanation:

56 x .045= $2.52

Answer:

The correct answer is this graph

Step-by-step explanation:

I just took the test #plato

Answer:  the answer is C, but make sure the C has the the line crossing on 0 and -1

Step-by-step explanation:

Took Test om Plato.

Answer:

a. $90,000

b. 15 advertisement slots

c. 0.53

Step-by-step explanation:

Let the purchase price of the slots, c = 4,500

The salvage value of the slots, s = 2,000

The selling price of the slots, p = 8,000

a. If the store manager sells all the advertising slots in advance, the revenue received, 'R', is given as follows;

R = The number of slots, n × The purchase price for selling immediately, c

∴ R = 20 × $4,500 = $90,000

The revenue the station will receive by selling all the advertising slots in advance, R = $90,000

b. The Cost of Overage, [tex]C_o[/tex] = Purchase price - Salvage value

∴ The Cost of Overage, [tex]C_o[/tex] = 4,500 - 2,000 = 2,500

The Cost of Underage, [tex]C_u[/tex] = Selling price - Purchase price

∴ The Cost of Underage, [tex]C_u[/tex] = 8,000 - 4,500 = 3,500

P; 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02

With help of MS Excel, we get the following cumulative frequency

F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1

The expected monetary value for the decision to sell the 8th slot at the last minute is given by the following relation;

[tex]C_u[/tex] × [1 - F(Q)] - [tex]C_o[/tex] × F(Q)

Where F(Q) = The cumulative frequency for the 8th stock

Therefore, we have;

3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300

For the 8th slot, the TV station is expected to make an extra $3,300

Using MS Excel, we get;

For the 9th slot, the profit over the purchase price = $3,020

Fot the 10th slot, the profit over the purchase price = $2,420

The profit over the purchase price for the 11th slot = $1,520

The profit over the purchase price for the 12th slot = $320

The profit over the purchase price for the 13th slot = $(-580)

The 14th = $(-1,180)

15th = $(-1,480)

16th = $(-1,780)

17th = $(-2,080)

18th = $(-2,380)

19th = $(-2,500)

Therefore, to maximize profit, only the 8th, 9th, 10th, 11th, and 12th, slots which are 5 slots should be sold late while 20 - 5 = 15 slots should be sold in advance

c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot which is given as follows;

P(D ≤ 12) = F(12) = 0.53.

The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot is 0.53.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

Given information

The demand for these last minute slots is estimated

8 9 10 11 12 13 14 15 16 17 18 19

Probability 0.03 0.05 0.1 0.15 0.2 0.15 0.1 0.05 0.05 0.05 0.05 0.02

The purchase price of the slots = 4,500

The salvage value of the slots = 2,000

The selling price of the slots = 8,000

a. The revenue received

R = The number of slots × The purchase price of the slot

R = 20 × $4,500 = $90,000

The revenue the station will receive by selling all the advertising slots in advance, R = $90,000

b. The Cost of Overage = Purchase price - Salvage value

The Cost of Overage,  = 4,500 - 2,000 = 2,500

The Cost of Underage,  = Selling price - Purchase price

The Cost of Underage,  = 8,000 - 4,500 = 3,500

Probability 0.03, 0.05, 0.1, 0.15, 0.2, 0.15, 0.1, 0.05, 0.05, 0.05, 0.05, 0.02

Cumulative frequency

F(Q); 0.03, 0.08, 0.18, 0.33, 0.53, 0.68, 0.78, 0.83, 0.88, 0.93, 0.98, 1

The expected monetary value for the decision to sell the 8th slot at the last minute

The Cost of Underage × [1 - F(Q)] -  × F(Q)

Where F(Q) = The cumulative frequency for the 8th stock

Therefore, we get

3,500 × (1 - 0.03) - 2,500 × 0.03 = 3,300

For the 8th slot, the TV station is expected to make an extra $3,300

For the 9th slot, the profit over the purchase price = $3,020

For the 10th slot, the profit over the purchase price = $2,420

Similarly,

The profit over the purchase price for the 11th slot = $1,520

The profit over the purchase price for the 12th slot = $320

The profit over the purchase price for the 13th slot = $(-580)

The profit over the purchase price for the 14th = $(-1,180)

The profit over the purchase price for the 15th = $(-1,480)

The profit over the purchase price for the 16th = $(-1,780)

The profit over the purchase price for the 17th = $(-2,080)

The profit over the purchase price for the 18th = $(-2,380)

The profit over the purchase price for the 19th = $(-2,500)

Therefore, only the 8th, 9th, 10th, 11th, and 12th slots should be sold in advance to maximize profit.

c. The probability that the total revenue will exceed the identified amount in part 'a' is the cumulative probability at the 12th slot.

P(D ≤ 12) = F(12) = 0.53.

Learn more about probability here;

https://brainly.com/question/11234923

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.