the nutrition information on the cereal box says that a 1/2-cup serving provides 210 calories and 6 grams of dietary fiber. at that rate, find how many calories and grams of fiber are in a 1/3-cup serving

Answer:

D

Step-by-step explanation:

The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

[tex]\frac{4}{3}=\frac{16}{x}[/tex]

4x = 48

x = 12

Step-by-step explanation:

where is the question?????

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

Answer:

The perimeter of a triangle is equal to 18.81 inches.

Step-by-step explanation:

Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:

5 ^ 2 + 6 ^ 2 = X ^ 2

25 + 36 = X ^ 2

√61 = X

7.81 = X

5 + 6 + 7.81 = X

11 + 7.81 = X

18.81 = X

Therefore, the perimeter of a triangle is equal to 18.81 inches.

Answer:

At least a 94

Step-by-step explanation:

9514 1404 393

Answer:

  x = 4.9 cm

Step-by-step explanation:

The product of segment lengths is the same for each chord:

  (7 cm)(7 cm) = x(10 cm)

  x = (49 cm^2)/(10 cm)

  x = 4.9 cm

WAY to much to read,thanks for the points and have a good day

Answer:

No equations given but the answer is c=1x+7.96

Step-by-step explanation:

Answers:

Open the pdf below and youll find what you need. also do the largest bills you can.

Answer:

9 bows

Step-by-step explanation:

Take the amount of ribbon and divide by the amount needed per bow

2 1/4 ÷ 1/4

Change the mixed number to an improper fraction

(2*4 +1)/4 ÷1/4

9/4 ÷1/4

Copy dot flip

9/4 * 4/1

9

9 bows

Answer:   d=sqrt(41) =6.4031  

Step-by-step explanation:

We know that the distance between the two points (x  1  ,y  1  ) and (x  2  ,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=2  ,x2=6   ,y1=3 ,y2=8

d=sqrt((6-2)^2+(8-3)^2 )

d= sqrt((4)^2+(5)^2

d=sqrt(16+25)

d=sqrt(41) =6.4031

9514 1404 393

Answer:

  less expensive

Step-by-step explanation:

If we assume the supplies in Nearland have a constant price of 15 NRD, then the cost in USD last year was ...

  (15 NRD)/(3 NRD/(1 USD)) = 5 USD

This year, the cost is ...

  (15 NRD)/(5 NRD/(1 USD)) = 3 USD

The cost in terms of USD has gone down.

__

Additional comments

Usually, exchange rates and local prices are related. If the supplies are produced in the US and sold in Nearland, the producer may want to maintain their pricing in terms of USD. That is, a supply that cost 1 USD last year would have been priced at 3 NRD last year. This year, the same supply, for the same 1 USD cost would be priced at 5 NRD. In Nearland, the supplies are more expensive than they were.

The real answer is, "it depends".

Answer:

3.42 times.

Step-by-step explanation:

We can simply see how many times greater the numbers are from one another.

927,645/271,461 = 3.41723120448 about 3.42 times.

Answer:

<YXZ and <TUS

Step-by-step explanation:

An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.

Therefore, the only pair of angles from the given options that flare alternate exterior angles are:

<YXZ and <TUS

Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)

Thus, we got a system of equations in x and y as:

[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

[tex]BD = 26\\[/tex]

Step-by-step explanation:

Given

[tex]EC = 13[/tex]

Required

Find [tex]BD[/tex]

In the given rectangle.

AC and BD are the diagonals.

This implies that:

[tex]AC = BD[/tex]

AC is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

So:

[tex]AC = EC + EC[/tex]

[tex]AC = 13+13[/tex]

[tex]AC = 26[/tex]

Recall that: [tex]AC = BD[/tex]

[tex]BD = 26\\[/tex]

Answer:

Salt = 8 g

Yeast = 6.4 g

Oil =24 ml

Water = 280ml

Step-by-step explanation:

[tex]Salt = \frac{10}{500}*400 = 2*4 = 8[/tex]

[tex]yeast =\frac{8}{500}*400= \frac{32}{5}=6.4[/tex]

[tex]Oil =\frac{30}{500}*400=6*4=24 ml[/tex]

[tex]Water = \frac{350}{500}*400=70*4=280 ml[/tex]

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

3AB = 90

comment for explanation

Answer:

90

Step-by-step explanation:

3AB = 3 (5)(6)

3AB = 3 x 30

3AB = 90

Answer:

The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.

Step-by-step explanation:

Given the data:

Game Number of Wins Number of Losses

Get-It-Rolling (A) 26 173

Bag-of-Tokens (B) 54 141

Pick-Your-Tile (C) 17 175

EXPERIMENTAL PROBABILITY:

Game A :

Number of games played = 26 + 173 = 199

Experimental probability :

Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306

Theoretical probability :

1 / 8 = 0.125

Game B :

Number of games played = 54 + 141 = 195

Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769

Theoretical probability = 1 / 7 = 0.1429

Game C :

Number of games played = 17 + 175 = 192

Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885

Theoretical probability = 1 / 12 = 0.08333

From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.

Answer:

pretty sure its twenty

Step-by-step explanation:

you have to subtract the maximum from the minimum values

so 25-5=20

have a nice day!!!!!!!!

Answer:

yes

Step-by-step explanation:

Area is 1.2 base * height

the base is 10 and the height is 12

120/2= 60

Answer:

105cm squared

Step-by-step explanation:

I put my answer here before, but somehow it got deleted, so I'm typing it again.

A square-based pyramid is made up of one square and four triangles.

We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.

5 x 5 = 25

Therefore, the area of the base is 25cm squared.

Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.

5 x 8 = 40

40 / 2 = 20

Therefore, the area of one triangle is 20cm squared.

But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.

4 x 20 = 80

Add everything together:

25 + 80 = 105

Therefore, the total surface area of the square-based pyramid is 105cm squared.

Answer:

Thats easy C:

2 and 3 at the same time

Step-by-step explanation:

3x2=6 or if you dived 6/2=3

Also one thing when doing markup or profit(I think thats how you spell it if not im srry my spelling is very bad lol) you dived it

Have a good day :D

Answer:

There are no options to pick

Answer:

19 L= 19000 mL

hope this helps

have a good day :)

Step-by-step explanation:

Answer: x = 7

Part A: y = (x)3- + 40

22 = 7 x 3- + 40

22 = 21- + 40

40 - 21 = 22

Part A= 22

Part B: x - 3(7) = 7(y) + x

40 + 37 + 34 + 31 + 28 + 25 + 22

Part B: 217

Step-by-step explanation:

Have a nice day.

Answer:

33.75 or rounded to the nearest tenth: 33.8