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GuDViN [60]
3 years ago
11

Bag A: Two thirds of the candies are yellow. What portion of the candies is green

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer: \frac{1}{3} proportion of candies are green.  

Solution:  

In bag A, \frac{2}{3} candies are yellow.  

\frac{2}{3} this proportion shows ratio of favorable over total candies.  

Here numerator number is 2.  

So, Total number of yellow candies should be 2x

Total number of candies in Bag A would be 3x

Number of green candies in bag A = 3x-2x = x

Now we find the portion of green candies in bag A

\therefore,  \frac{x}{3x}

\frac{1}{3} portion of candies are green in bag A

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bezimeni [28]

Answer:

2(2x + 5)(2x - 5)

Step-by-step explanation:

2(2x + 5)(2x - 5)

= (4x + 10)(2x - 5)

= 8x² - 20x + 20x - 50

= 8x² - 50

3 0
3 years ago
the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
miss Akunina [59]
The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
7 0
3 years ago
If f(x)=7x, which of the following is the inverse of f(x)?
8090 [49]
The inverse is f¯¹(x)=x/7.
3 0
3 years ago
Read 2 more answers
The sets of numbers 3, 4, 5 and 5, 12, 13 are examples
Wewaii [24]

Answer:

  • 8, 15, 17 — yes
  • 15, 20, 25 — yes
  • 20, 48, 52 — yes
  • 2, 9, 11 — no
  • 39, 80, 89​ — yes

Step-by-step explanation:

The squares of the three numbers in each of the given triples are listed. When the sum of the first two numbers is equal to the third, the set of numbers in the triple is a Pythagorean triple.

  {64, 225, 289}, yes

  {225, 400, 625}, yes — a 3,4,5 triple multiplied by 5

  {400, 2304, 2704}, yes — a 5,12,13 triple multiplied by 4

  {4, 81, 121}, no*

  {1521, 6400, 7921}, yes.

___

* the smallest set of integers that is a Pythagorean triple is {3, 4, 5}. The number 2 in this group tells you this cannot be a PT.

8 0
3 years ago
Read 2 more answers
What is an example of when you would want consistent data and, therefore, a small standard deviation?
steposvetlana [31]

Answer:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

Step-by-step explanation:

For example if we have the following data:

12.1, 12.3,12.4,12.5,12.3,12.1,12.2

We see that the data are similar for all the observations so we would expect a small standard deviation

If we calculate the sample mean we can use the following formula:

\bar X=\frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{12.1+12.3+12.4+12.5+12.3+12.1+12.2}{7}=12.271

And for the standard deviation we can use the following formula:

s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And after replace we got:

s = 0.1496

And as we can ee we got a small value for the deviation <1 on this case.

8 0
3 years ago
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