Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are ambrase, 30% are butonic, 15% are colana, and 35% are dynamite. a party guest randomly chooses four cans of soda. calculate the probability that the guest chooses one of each type of soda.

Answers

Answer 1

The probability that the guest chooses one of each type of soda will be 8.03%.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.

A party guest randomly chooses four cans of soda.

Then the probability that the guest chooses one of each type of soda will be

Let the total number of the soda can will be 100. Then we have

Ambrase = 20

Butonic = 30

Colana = 15

Dynamite = 35

[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]

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Related Questions

a random survey. of seventh and eighth graders was conducted to determine the number of each student has the results are shown statement about populations is not supported by information in the graph

Answers

Answer:

I believe the answer is 8th graders.

Step-by-step explanation:

The bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.

Answers

Answer:

4.5 %

Step-by-step explanation:

Answer:

4.5%

Explanation:

1)  red = 3
2) green = 4
3) blue = 5

Total bumper cars: (3 + 4 + 5) = 12 cars

Michelle gets red car:

3/12 = 1/4

Remaining red cars: 3 - 1 = 2

Remaining total cars: 12 - 1 = 11

Garth get red car:

2/11

Probability they both get red cars:

1/4 × 2/11 = 1/22 ≈ 4.5%

You decide to buy a tablet for college. The tablet you want is currently on sale for 29% off the original price. If the original price was $899, what is the current price? Round your answer to the nearest cent (2 decimal places).

Answers

Answer:

638.29

Step-by-step explanation:

This is the answer because 29 percent of 899 is somewhere around 260.71

Substract that and you get 638.29

660 miles on 20 gallons or 850 miles on 25 gallons which is greater

Answers

The second. Hope that helps.


joan has a square flower bed with a side length of 5 meters filled with tulips. there are a total of 375 tulips in the bed. find the density of tulips
for the area of the bed. round to the nearest tenth if necessary.

Answers

Answer:

the answer is 15

Step-by-step explanation:

density= total population/surface area

density= 375/5^2

density=375/25=15

Solve 2x2 + 3x − 5 = 0 by factoring.


x=1, 52

x=1, −52

x=1

x=−52

Answers

answer is correct

x=-5/2 or x
= 1

there are 11 clowns and 3 elephants. how many is all together?

Answers

Answer:

14

Step-by-step explanation:

Which function does this graph represent?!? I’ll mark yours expert verified whoever helps plss 60 points

Answers

Answer:

B) [tex]f(x)=-3(x+1)^2+2[/tex]

Step-by-step explanation:

Notice that the graph of the parabola opens downward. This tells us that the leading coefficient of the function must be negative. Hence, we can rule out answers A and D.

Also, notice that our vertex is [tex](h,k)\rightarrow(-1,2)[/tex], which when we plug into vertex form, we get [tex]y=a(x-h)^2+k\rightarrow y=a(x-(-1))^2+2\rightarrow y=a(x+1)^2+2[/tex].

This means that B is the correct function that represents the graph.

i just need the edges, correct answer gets brainliest

Answers

Answer:

28

Step-by-step explanation:

counting all the lines pretty much

Answer:

its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)

A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons. One crayon is chosen at random. Write each probability as a fraction, a percent, and a decimal

Answers

The probability of getting black crayons is 0.3, blue crayons 0.2, red crayons  0.25, yellow crayons 0.15, and white crayons 0.1.

What is the probability?

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

P(E) = Number of favorable outcomes / total number of outcomes

A box contains 6 black crayons, 4 blue crayons, 5 red crayons,3 yellow crayons, and 2 white crayons.

One crayon is chosen at random.

The total number of crayons = 20

The probability of getting black crayons

= 6/20

= 0.3

The probability of getting blue crayons

= 4/20

= 0.2

The probability of getting red crayons

= 5/20

= 0.25

The probability of getting yellow crayons

= 3/20

= 0.15

The probability of getting white crayons

= 2/20

= 0.1

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Stuck. Please help me

Answers

If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Let L be the length of the rectangle and W be the width of the rectangle.

Then we have

4W + 3L = 33 ...1

 2W + L = 13 ...2

Then by the equations 1 and 2, we have

W = 3 and L = 7

Then the perimeter of the rectangle will be

Perimeter = W + L

Perimeter = 3 + 7

Perimeter = 10 cm

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An equation for the line

Answers

Answer:

y=-1/3x

Step-by-step explanation:

if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom

What is the surface area?
4 m
5 m
12m

Answers

Answer:

Where is the picture of the surface area?

Step-by-step explanation:

I need the picture in order for me to help your question.

Congruent figures Practice -2 measurement of angle F

Answers

Answer:

m∠F = 45°

because

Corresponding

Parts of

Congruent

Triangles are

Congruent

Write a cosine function that has an amplitude of 2, a midline of 5 and a period of T.

Answers

phase shift is 0

General equation

y=AcosB(x-C)+D

c is phase shift

y=AcosBx+D

Midline is D

y=AcosBx+5

A is amplitude

y=2cosBx+5

B is period

2π/T

So

Final equation

y=2cos(2πx/T)+5

Not mandatory from now

For some special cases 2π/T=omega

So Equation yields

y=2cos([tex]\omega x[/tex])+5

Answer:

[tex]f(x)=2 \cos (2x)+5[/tex]

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

f(x) = A cos(B(x + C)) + D

A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift

Given:

Amplitude = 2  ⇒  A = 2[tex]\sf Period=\pi \implies \dfrac{2 \pi}{B}=\pi \implies B=2[/tex]mid-line = 5  ⇒  D = 5

Inputting the given values into the standard form:

[tex]\implies f(x)=2 \cos (2x)+5[/tex]

Can someone help please?

Answers

The answer is -9 !!! because 3 to the power of -2 is -9

Need help! will award brainiest

Find the slope of a line that goes through the points (2, 5) and (-4, 3)

Answers

Answer:

[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]

Explanation:

[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]

Find slope:

[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer: -1/3

Step-by-step explanation:

The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.

what does tally mean?

Answers

Answer:

To mark or take note of.

Step-by-step explanation:

I need help!! Thanks

Answers

[tex]\text{Given that,}~ f(x) = 3x+5~ \text{and}~ g(x)=\sqrt{x^2 +3}\\\\(g \circ f)(-1)\\\\=g(f(-1))\\\\=g(3(-1) +5)\\\\=g(-3+5)\\\\=g(2)\\\\=\sqrt{2^2+3}\\\\=\sqrt{4+3}\\\\=\sqrt{7}[/tex]

HEY GUYS THIS IS MY FINAL MATH ASSIGNMENT OF THE YEAR... PLS JUST HELP ME FIND THE DOMAIN AND RANGE THANK YOU

Answers

Answer:

domain: all real numbers (-∞,∞)

range: y ≤ 64

Step-by-step explanation:

since the domain is arn,

and range is the coordinates

coordniate (top or bottom-most point)

downward facing so the top

(2, 64)

since it is downward facing we use ≤ instead of ≥

y value is 64 (just as x is 2)

your answer is y ≤ 64

hope this helps:)

Answer:

[tex]D=[x E R | {x = \infty} ][/tex]

[tex]R = [yER| y\leq 64][/tex]

Step-by-step explanation:

1) Identify whether the [tex]x[/tex] and [tex]y[/tex] values are continuous

2) Since [tex]x[/tex] will continue below the [tex]x[/tex]-axis, it will approach infinity.

   Therefore [tex]D=[x E R | {x = \infty} ][/tex]

3) Since [tex]y[/tex] ONLY continues below 64, [tex]R = [yER| y\leq 64][/tex]

Koda is making birdhouses for a park.
The instructions tell him how many of each wooden shape is needed for one birdhouse.

Complete each statement to adjust the number of shapes for each new situation if he follows the given instructions.

Answers

Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

What is regular Pentagon?

Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.

Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.

For the 8 birdhouse, the number of trapezoids she need is,

Trapezoids=2 x 8

Trapezoids=16

For the 3 birdhouse, the number of rectangle she need is,

Rectangle =4 x 3

Rectangle=12

The number of birdhouse when she use 4 square,

Bird house=4 x 1

Bird house=4

Thus, the number of triangle for 4 birdhouse is,

Triangle=2 x 4

Triangle=8

Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,

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Evaluate the expression when x = 4 and y = 5.
3x2 + 4y0 • x –1

Answers

Answer:

60

Step-by-step explanation:

The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is  60.

What is Substitution?

Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.

3x² + 4y⁰(x - 1)

Therefore,

y⁰ = 1

3x² + 4y⁰(x - 1)

3x² + 4y⁰(x - 1)

3x² + 4(x - 1)

3x² + 4x - 4

Therefore, when x = 4 and y = 5

3(4)² + 4(4) - 4

48 + 16 - 4 = 60

HOPE THIS HELPED!

Answer:

B

Step-by-step explanation:

PLEASEEE HELP 100 POINTS
Write the equation of a circle whose center is at the origin and that contains the point (-3, 0).

Answers

Radius

√(-3)²+(0)²√93units

So

equation of circle

(x-h)²+(y-k)²=r²(x-0)²+(y-0)²+3²x²+y²=9

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

center = (0, 0)point on circle = (-3, 0)

Substitute the given values into the formula and solve for r²:

[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]

[tex]\implies (-3)^2+(0)^2=r^2[/tex]

[tex]\implies 9=r^2[/tex]

Substitute the center and found value of r² into the formula to determine the equation of the circle:

[tex]x^2+y^2=9[/tex]

venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem

type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6

Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door​

Answers

the answer is c
explanation

Solve for x: Answer: -13x+8 = -8x - 7 Submit Answe​

Answers

[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]

the value of x is 3.

Answer: X=3

Step-by-step explanation:

How Do You Graph This Equation

Answers

Answer:

Rearrange both inequalities to make y the subject.

Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.

Inequality 1

[tex]2y \leq x-10[/tex]

[tex]\implies y < \dfrac{1}{2}x-5[/tex]

[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]

[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]

Inequality 2

[tex]x+y\leq -3[/tex]

[tex]\implies y\leq -x-3[/tex]

[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]

[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]

When graphing inequalities

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

Therefore,

Inequality 1:  plot points (0, -5) and (4, -3) and draw a solid line through them.

Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.

Shade the area below both lines from where the lines intersect.

Answer:

See below ~

Step-by-step explanation:

Inequality 1 :

Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5

Taking 2 points :

0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)

y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)

Inequality 2 :

x + y ≤ -3y ≤ -x - 3

Taking 2 points :

0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)

y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)

Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :

which of the following is equivalent to 10x+15

10(x+5)
10(x+15)
5(2+3)
5(2x+3)

Answers

Answer:

The last one  5(2x + 3)

Step-by-step explanation:

5 × 2x = 10x

5 × 3 = 15

10x + 15

Answer: 5(2x+3)
Distributive property

arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909​

Answers

Answer:

0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09

Step-by-step explanation:

Here they are from least to greatest. Hope this helps. :)

If the cost of labor in the united states is five times greater than the cost of labor in
asia, how much would it cost to produce a pair of nike athletic shoes in the united
states? assuming that all other costs remain the same and the shoes would still sell for
$65 a pair, what would be the percentage difference in profit realized

Answers

Therefore the percentage difference in profit realized will be 66.67 % .

What is Profit ?

Profit, is net income earned after subtracting all dollar costs from total revenue.

In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.

Suppose all the charges for making the shoes is x (other than the labour charge)

Labor charge in Asia is y

And as given in the question Labor Charge in United States is 5y

The final cost off the shoes is $65

Profit in asia = (65-x-y)

Profit in United States = (65-x-5y)

Let's use trial and error method to understand this

suppose the making cost is x = $10  and the labor charge in asia is $5 per shoes so

Profit in Asia = 65-10-5 = $50

Profit in United Stated = 65- 10-25 = $30

the percentage difference in profit realized

= (50-30) * 100 /30

= 2000/30 = 200/3 = 66.67%

Therefore the percentage difference in profit realized will be 66.67 % .

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Over the closed interval [3, 8], for which function can the extreme value theorem be applied?

Answers

Answer:

ITS C

Step-by-step explanation:

trust

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Your families are proud of you, and your nation will welcome you.How does the sentence "Americans, following a battle, want nothing more than to return home" support the central idea of the speech?A. It furthers the notion that Americans want nothing to do with war against terrorists.B. It supports the idea that American troops will not occupy another country after defeating the enemy. C. It supports the point that the war is an ongoing effort that cannot be won overnight. D. It contributes to the notion that being a soldier is physically and emotionally demanding work. Consider the following data set with 20 scores { 23 15 16 15 25 14 14 18 26 23 25 24 14 25 29 15 24 29 21 19}. How many scores are below or equal to the 60th percentile? (iii) Describe one test for the presence of water An object is placed 15.0 cm to the left of a double-convex lens of focal length 20.0 cm. The image of this object is located. 2x+ 5y = 155x+10y = 35O A. (5.-1)O B. (5,1)(O C. (10,-1)O D. 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PLS HELP ILL MARK U BRAINLIST what is the difference between ice cream and gelato 100 PointsReagans budget director David Stockman favored cutting all of the following programs EXCEPT: Group of answer choicesFood StampsUnemployment CompensationMilitary SpendingWelfare AssistanceAccording to Eric Foner, the Vietnam War ______________.Group of answer choicesThe only war that the United States ever lost.It strengthened most Americans' trust in the federal government.It was first time that the United States got involved in Asia.The United States won the Vietnam War.Which of the following individuals was responsible for shaping President Nixons foreign policy?Group of answer choicesHenry KissingerGerald FordGeorge KennanRachel Carson The graph of the function above is shown below. Which of the following statements about f(x) is true? A. The function f(x) does not have an inverse because it never crosses the x-axis. B. 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