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Giving extra points

Answer:

The probability that you win​ something is 0.7916.

Step-by-step explanation:

Let X denote the number of soda bottles having winning symbols under the caps.

The proportion of soda bottles having winning symbols under the caps is, p = 0.23.

Six-pack of soda are randomly bought.

Every bottle is independent of the others to have the symbols under the caps.

The random variable X follows a binomial distribution with parameters n = 6 and p = 0.23.

Then the chance of winning something implies that at least 1 of the bottles in the six-pack have the symbol under the caps.

Compute the value of P (X ≥ 1) as follows:

[tex]P(X\geq 1)=1-P(X<1)\\\\=1-P(X=0)\\\\=1-{6\choose 0}(0.23)^{0}(1-0.23)^{6-0}\\\\=1-0.2084224\\\\=0.7915776\\\\\approx 0.7916[/tex]

Thus, the probability that you win​ something is 0.7916.

The probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

For this case, let we take:
X = the number of bottles out of 6 bottles having winning symbols.

Each bottle have the winning symbol(call it success) or not (call it failure).

Each bottle's result is independent of each other in a random picking (if 23% of the number of bottles manufactured is bigger or equal 6).

Then, we have X pertaining binomial distribution, as:
[tex]X \sim B(n=6, p = 0.23)[/tex]

(since success is a bottle having winning stickers, and as there are only 23% such bottles, so chance of success is 23% = 0.23(in decimal)).

Probability of not winning anything = P(X = 0)

From the probability function of binomial distribution, we get:

[tex]P(X = 0) = \: ^nC_xp^x(1-p)^{n-x} = \: ^6C_0(0.23)^0(1-0.23)^6 \approx 0.2084[/tex]

Thus, we get:

Probability of winning something = 1 - probability of not winning anything.

Probability of winning something ≈ 1- 0.2084 = 0.7916

Thus, the probability of winning something from buying 6 bottles of the considered soda company is 0.7916 approximately.

Learn more about binomial distribution here:

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Answer:

Step-by-step explanation:

Let the length of one side of the square base be x

Let the height of the box by y

Volume of the box V = x²y

Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy

S = x² + 4xy

Given

S = 7500sq in.

Substitute into the formula for calculating the total surface area

7500 = x² + 4xy

Make y the subject of the formula;

7500 - x² = 4xy

y = (7500-x²)/4x

Since V = x²y

V = x² (7500-x²)/4x

V = x(7500-x²)/4

V = 1/4(7500x-x³)

For us to maximize the volume, then dV/dx = 0

dV/dx = 1/4(7500-3x²)

1/4(7500-3x²) = 0

(7500-3x²) = 0

7500 = 3x²

x² = 7500/3

x² = 2500

x = √2500

x = 50in

Since y = (7500-x²)/4x

y = 7500-2500/4(50)

y = 5000/200

y = 25in

Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.

The Volume of the box V = 50²*25

V = 2500*25

V= 62,500in³

Hence the maximum volume is 62,500in³

Answer:

10  3/70

Step-by-step explanation:

Answer: 10.06

Step-by-step explanation:

Answer:

17.60

Step-by-step explanation:

Please see the attachment for the step by step answer

Answer:

b

Step-by-step explanation:

make the slope opposite and plug in the points to find b.

Answer:

63

Step-by-step explanation:

3x^2+5y

Where X=4,Y=3

So

=3×4×4+5×3

=48+15

=63

So 63 is the answer

Answer:

C.63

Step-by-step explanation:

3x4²+5x3

4² = 16

3x16+5x3

Then

3x16 = 48

5x3 =15

48+15 equals 63

The answer is 63

Have a Good Day!!!!

Answer:11

Step-by-step explanation:Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-5)-(18)=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 3 • (x - 5) -  18  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3x - 33  =   3 • (x - 11)  

Equation at the end of step

3

:

 3 • (x - 11)  = 0  

STEP

4

:

Equations which are never true:

4.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

One solution was found :

x = 11

Answer:

0

Step-by-step explanation:

Total number: 6

Because the biggest number a dice can have is 6, the answer would be 0/6.

Hope I helped!

Answer:

c+3d+3

Step-by-step explanation:

Answer:

What is the question???

Answer:

basically do 4x2 until you get 200, or divide, which is 25

Step-by-step explanation:

so 4x2 is 8

so 200 divided by 8, and with a quick google search that gives you 25

so now you know that you have to multiply 4x2, 25 times, to get 200, or $200

25

-OR-

200/(4x2)=m

i hope this helped!

Answer:

8m/s.

Step-by-step explanation:

This question really depends on the answer because the units matter. Is it miles per second? Kilometers per second? We'll just assume it's meters per second so this question could be answered the easiest.

Meters/seconds=800meters/200seconds=(simplified) 8m/s

Answer:option A 1,728 ft

Step-by-step explanation:

I took the test lol

Step-by-step explanation:

let no of motorcycles be m and no of cars be c

4c + 2m = 124 --(1)

c + m = 39

c = 39 - m --(2)

sub (2) into (1):

4(39 - m) + 2m = 124

156 - 2m = 124

2m = 32

m = 16

therefore, c = 23

23 cars

Topic: simultaneous eqn + forming algebraic equations

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

what do the graphs look like, it would have a slope of 350

Step-by-step explanation:

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

Answer:

44 in

Step-by-step explanation:

Perimeter is adding up all the sides together and since we know it is a square that means each side is equal

11 in + 11 in + 11 in + 11 in = 44 in

Answer:

1, 3, & 5

Step-by-step explanation:

All I did to solve this was look up a picture of the polar coordinate system and then match the lines from the image shown to the ones on the polar circle.

The designer places the images in Options 1,3 and 5 are correct.

We have given that,

A web designer is placing images on a website using polar coordinates along the lines shown in the diagram.

Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.

We have to determine equations that represent the lines on which the designer places the images.

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.

The grid is split into 12 pieces and so they can be put into fractions with a denominator of either 3 or 6.

If you split the circle into portions that match the denominator, you can find 2/3, 17/6, and -11/3's on the circle.

Therefore options 1,3 and 5 are correct.

To learn more about the polar equation visit:

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Answer:

8

Step-by-step explanation:

The number that is greater than 4 and less than 15 whose one of its factors is 4 and has an LCM of 32 when paired with 32 is 8

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Given that one of my factors if 4 when you pair me with 32 we have a lcm of 32 i am greater than 4 less that 15

The clues are given as;

Factors of 4

Number greater than 4

Number less than 15

Also, the LCM of 8 and 32 is; 32

Hence, The mystery number that has the above properties will be 8

Learn more about numbers;

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Answer:

35 people in each

Step-by-step explanation:

105÷3=35

Answer:

18 people including him

Step-by-step explanation:

Answer: y=13, A. f(x)=13

Step-by-step explanation:

Answer:

y=13, A. f(x)=13

Step-by-step explanation:

Answer:

Container A is filling more quickly because the line is steeper and has a higher C.O.P

Step-by-step explanation:

Answer:

168

Step-by-step explanation: You would do 140/100 = 1.4 then multiply 120 by 1.4 which is 168.

Answer: y = 3x

Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Answer:

2^40 =

1) (2^2)^20

2) (2^5)^8

3) (2^8)^5

4) (2^10)^4

Step-by-step explanation:

We know this simply because we multiply the exponent inside the parentheses by the exponenent outside the parentheses. Using this, we can simply find the numbers that have a product of 40.