Some red, white, and blue candies were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl. Which of the following represents a conditional
probability?

Answer:

40/100 = 0.4

your welcome

Answer:

261/44

Step-by-step explanation:

hope this helps. :)

Answer:

9 1/2

Step-by-step explanation:

7 1/2 - 1 5/8 + (1 3/8 × 2 7/11)​ =

= 7 4/8 - 1 5/8 + 11/8 * 29/11

= 6 12/8 - 1 5/8 + 29/8

= 5 7/8 + 3 5/8

= 8 12/8

= 8 + 8/8 + 4/8

= 9 1/2

Answer:

36PI

113.04

Step-by-step explanation:

4/3*PI*R^3=V

4/3*PI*27=V

36*PI=V

113.04

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Answer:

113.10 (to the nearest hundredth)

Step-by-step explanation:

just google volume of a sphere

Answer:

x = 4, y = 2√21, z = 10

Step-by-step explanation:

Since all sides of a rhombus are congruent, z = SR = 10. Since the diagonals of a rhombus bisect each other, x = PO = 4. Using Pythagorean Theorem (look at ΔPSO, we know that PS = 10 and PO = 4), y = 2√21.

Answer:

Option B.

Step-by-step explanation:

Scale factor of the image = [tex]\frac{\text{One side of the triangle FED}}{\text{Corresponding side of the triangleABC}}[/tex]

                                          = [tex]\frac{\text{DF}}{\text{AC}}[/tex]

                                          = [tex]\frac{3}{6}[/tex]

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

Coordinates of point C → (-2, 2)

Coordinates of the corresponding point C' after dilation with a scale factor [tex]\frac{1}{2}[/tex],

C(-2, 2) → C'(-1, 1)

Coordinates of point C' after reflection across y-axis,

C'(-1, 1) → C"(1, 1)

Followed by the translation of 2 units downwards,

C"(1, 1) → D[1, (1 - 2)]

          → D(1, -1)

From the graph we get the same coordinates of point D as (1, -1).

Therefore, ΔABC was dilated by a scale factor of [tex]\frac{1}{2}[/tex], reflected across the y-axis and moved through the translation of 2 units downwards.

Answer:

16 unidades preparan simultáneamente 1200 empanadas por día.

Step-by-step explanation:

Si cada fuente tiene una capacidad de 75 empanadas por horneada y que la mayor cantidad posible ocurre cuando el volumen de producción se cocina simultáneamente, entonces el total de fuentes es la cantidad total de producción dividida por la capacidad de empanadas por fuente. Es decir:

[tex]x = \frac{1200\,emp}{75\,\frac{emp}{und} }[/tex]

[tex]x = 16\,unidades[/tex]

16 unidades preparan simultáneamente 1200 empanadas por día.

Answer:

4 ( -x^3 + 2x - x)

Step-by-step explanation:

refer the attachment

Step-by-step explanation:

great circle = 9[tex]\pi[/tex] = r^2.[tex]\pi[/tex] --> r = 3 m

Surface area S = 4[tex]\pi[/tex].r^2 = 36[tex]\pi[/tex] m^2

Volume V = 4/3[tex]\pi[/tex].r^3 = 36[tex]\pi[/tex] m^3

The volume of a sphere is 36π m³ and the Surface area of sphere 36π m². Therefore, option A is the correct answer.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, sphere with great circle area 9π m².

We know that, area of a circle = πr²

Now, πr²=9π m²

r=3 m

Here, volume of a sphere = 4/3 ×π×3³

= 36π m³

Surface area of sphere = A = 4πr²

= 4×π×3²

= 36π m²

Therefore, option A is the correct answer.

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Answer:

No.

Step-by-step explanation:

Order of Operations using BPEMDAS:

14 + 18/2(18)

14 + 9(18)

14 + 162

176

Answer:

Option B

Step-by-step explanation:

With a scale factor of 1/2, the dilated shape should be smaller because of the scale factor, So in Option B the dilated shape is smaller than the real one.

1) Option A is an enlargement

2) Option B is reduction

3) Option C is equality

Answer:

adult = £7 and child = £2

Step-by-step explanation:

let a represent adult ticket and c child ticket, then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiply (2) by - 2 and add to (1) to eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and solve for a

Substituting into (1)

2a + 3(2) = 20

2a + 6 = 20 ( subtract 6 from both sides )

2a = 14 ( divide both sides by 2 )

a = 7

Cost of adult ticket is £7 and child ticket is £2

Answer:

e)  (3.77%, 8.70%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 369

Sample proportion

                              [tex]p = \frac{x}{n} = \frac{23}{369} = 0.0623[/tex]

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })[/tex]

(0.0623 - 0.0246 , 0.0623 + 0.0246)

(0.0383 , 0.0869)

(3.83% , 8.69%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

Step(ii):-

Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices

sample proportion 'p' = 0.43

Given Margin of error (M.E) = 0.024

95% confidence intervals are determined by

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })[/tex]

[tex](0.43 - 0.024 } , 0.43 +0.024 )[/tex]

(0.406 , 0.454)

Final answer:-

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

A fourth-degree polynomial in standard form is :

       In this example it would give:

      −6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2

The closure property as it relates to polynomials are :

       (2x2 + 3x + 4) + (x2 - 5x - 3)

        3x2 - 2x + 1.

Therefore, the addition and subtraction of polynomials is closed.

Know more about polynomials:

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The root of a number is equivalent of being raised to its inverT

11 cubic root is = 1/11

X = 1/11

Answer:

achievements

Step-by-step explanation:

Distribute the sum:

[tex]\displaystyle\sum_{i=1}^{24}(3i-2)=3\sum_{i=1}^{24}i-2\sum_{i=1}^{24}1[/tex]

Use the following formulas:

[tex]\displaystyle\sum_{i=1}^n1=n[/tex]

[tex]\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2[/tex]

[tex]\implies\displaystyle\sum_{i=1}^{24}(3i-2)=3\cdot\frac{24\cdot25}2-2\cdot24=\boxed{852}[/tex]

In case you don't know where those formulas came from:

The first one is obvious; you're just adding n copies of 1, so 1 + 1 + ... + 1 = n.

The second can be proved in this way: let S be the sum 1 + 2 + 3 + ... + n. Rearrange it as S = n + (n - 1) + (n - 2) + ... + 1. Then 2S = (n + 1) + (n + 1) + (n + 1) + ... + (n + 1), or n copies of n + 1. So 2S = n(n + 1). Divide both sides by 2 and we're done.

Answer:

Hey there!

You can use the ASA postulate, when two angles are congruent, and one side is congruent.

Hope this helps :)

Answer:

  (4.4, 4.4)

Step-by-step explanation:

The point S can be found as the weighted average of the end points. The relative weights are the reverse of the distances to the end points:

  RS : ST = 1 : 4

  S = (4R +1T)/5

  S = (4(2, 2) +(14, 14))/5 = (22, 22)/5

  S = (4.4, 4.4)

Answer:

x = -3/4, 1

Step-by-step explanation:

Factor left side of the equation.

(4x + 3)(x - 1) = 0

Set factors equal to 0.

4x + 3 = 0

4x = -3

x = -3/4

x - 1 = 0

x = 1

Answer:

x₁ = -3/4

x₂ = 1

Step-by-step explanation:

4x² - x - 3 = 0

4x² + 3x - 4x - 3 = 0

xx(4x + 3) - 4x - 3 = 0

xx(4x + 3) - (4x + 3) = 0

(4x + 3) × (x - 1) = 0

4x + 3 = 0 → x = -3/4

x - 1 = 0 → x = 1

Hope this helps! :)

Answer:

x = 1.

Step-by-step explanation:

y = k(x + 3)

When x = 3 y = 12 so

12 = k(3 + 3)

6k = 12

k = 2.

So the relation is y = 2(x + 3)

When y is 8:

8 = 2(x + 3)

2x = 8 - 2*3 = 2

x = 1.

Answer:

3/2

Step-by-step explanation:

Using two points we can find the slope of a line

(0,1) and  (2,4)

The slope is given by

m= (y2-y1)/( x2-x1)

   = (4-1)/(2-0)

   = 3/2

Answer:

B = 11; C = -8

Step-by-step explanation:

When simplified I get 10x^3 + 11x^2 - 8x - 3

Answer:

120.7

Step-by-step explanation:

The formula for finding the area of a regular octagon is: A = 2(1+[tex]\sqrt{2}[/tex])[tex]a^{2}[/tex].

Using the formula I got 120.7(rounded).

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

We have,

To find the area of a regular octagon with a side length of 5 cm, you can use the following formula:

Area = 2 * (1 + √2) * (Side Length)²

Plugging in the values:

Area = 2 * (1 + √2) * (5 cm)² ≈ 120.7 cm²

Therefore,

The area of the regular octagon with a side length of 5 cm is approximately 120.7cm².

Learn more about octagons here:

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Answer:

11.47

Step-by-step explanation:

Use SohCahToa. In this problem, you are given the hypotenuse and you are trying to solve for the adjacent side so it will be cosine. (cosine = [tex]\frac{adjacent}{hypotenuse}[/tex])

1. set up the equation

cos55 = [tex]\frac{x}{20}[/tex]

2. Multiply both sides by 20 to solve for x

20 · cos55 = 11.47

Answer:

Solution,

From the figure,

[tex]cos \: 55 = \frac{PQ}{PR} [/tex]

[tex]cos \: 55 = \frac{PQ}{20} [/tex]

[tex]PQ = 20 \: cos \: 55[/tex]

[tex]PQ= 11.472[/tex]

[tex]PQ= 11 .47[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

I hope it will help you....

Answer:

The correct option is;

Option 3. 2.5

Step-by-step explanation:

From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;

The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8

The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7

The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5

Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.

Answer:

Step-by-step explanation:

Answer:

102m^2

Step-by-step explanation:

2x3x17=102m^2

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Answer:

182 m²

Step-by-step explanation:

The formula for surface area of a rectangular prism is;

Surface Area = 2(wl) + 2(lh) + 2(hw) where w is the width, l is the length and h is the height.

SA = 2(2 * 17)m² + 2(17 * 3)m² + 2(3 * 2)m²

     = 2(34)m² + 2(51)m² + 2(6)m²

     = 68 m²  + 102 m² + 12 m²

     = 182 m²

Answer:

x = 0

Step-by-step explanation:

Step 1: Subtract 3x from both sides

x - 8 = 8

Step 2: Add 8 to both sides

x = 0

Answer:

x = 0

Step-by-step explanation:

1. Get rid of the equal terms

4x = 3x

2. Move the variables to the left side

4x - 3x = 0

3. Collect the like times

4x - 3x = 0

x = 0

Hope this helps!

Answer:

1. 4/5

2. 80%

Step-by-step explanation:

Answer:

a = 138

Step-by-step explanation:

Notice that from the figure, we can see that ∠MOQ and ∠PON are vertical angles, which means that by definition, they're congruent in measure.

∠MOQ = ∠MOR + ∠ROQ = 90 + 48 = 138°

So, this means that ∠PON is also equal to 138, which means a = 138.

Thus, the answer is a = 138.

~ an aesthetics lover