Una botella de refresco tiene doble de capacidad. De cada botella se sacan 20cm y la cantidad lo queren mayor es 6 veces calcula la capacidad de ambas botella

In order to find the sample size, we can use the following formula that relates the population and sample standard deviations:

For a confidence interval of 95%, we have z = 1.96.

Then, using the values of the standard deviations, we have:

Rounding to the next whole number, we have a sample size of 139.

After translating the expression I got:

\( \frac{3}{4} x < 24\)

Once you cross multiply you should have the following expression:

\(x < 32\)

Then when you graph, remember it should be an open circle on the 32 and the direction of the arrow should be towards 0

Answer:

D

Step-by-step explanation:

just took the test

Answer:

19 inches is the correct answer.

Step-by-step explanation:

Side 1 = 10 inches

Side 2 = 15 inches

It is given that it is an obtuse angle triangle i.e. the largest angle of the triangle is more than \(90^\circ\).

Let us suppose, that the triangle be a right angle triangle, then the largest angle will be \(90^\circ\). The largest side is known as Hypotenuse.

As per pythagoras theorem:

\(Hypotenuse^{2} = Base^{2} + Height^{2}\)

\(\Rightarrow 10^{2} + 15^{2} = Hypotenuse^2\\\Rightarrow 325 = Hypotenuse^2\\\Rightarrow Hypotenuse = 18.04\ inches\)

So, largest side comes out be 18.04 inches.

But actually, the largest angle is more than \(90^\circ\) so the largest side will also be greater than 18.04 inches.

Hence, the answer is:

Smallest possible whole number length of unknown side will be 19 inches.

Answer:

I did the test and thecorrect option was 18.

Answer:

3 3/5

Step-by-step explanation:

First, convert 1 4/5 into an improper fraction. It would turn into 9/5, then you can make 2 as 2/1 because any whole number can be put over 1 and still keep the same value. Then, multiply 2/1*9/5 to get 18/5.

The simplest form is 3 3/5.

Hope this helps!

The five dealers included in the sample are: Dealer 02: 05, Dealer 06: 28, Dealer 09: 38, Dealer 03: 08, Dealer 11: 66

To select a random sample of five dealers from the given random numbers, we need to use a method known as random sampling without replacement, which ensures that no dealer is selected more than once.

Here are the steps to select a random sample of five dealers from the given random numbers:

Step 1: List all the dealers using the given random numbers in ascending order.02, 05, 08, 20, 21, 28, 29, 31, 38, 49, 59, 66

Step 2: Assign each dealer a number between 01 and 12. Dealer 01 corresponds to 02, dealer 02 corresponds to 05, dealer 03 corresponds to 08, and so on.

Step 3: Generate five random numbers between 01 and 12 using a random number generator or by drawing numbers from a hat. For instance, let's assume that the five random numbers we get are 02, 06, 09, 03, and 11.02 corresponds to dealer 05, 06 corresponds to dealer 28, 09 corresponds to dealer 38, 03 corresponds to dealer 08, and 11 corresponds to dealer 66.

Therefore, the five dealers included in the sample are: Dealer 02: 05, Dealer 06: 28, Dealer 09: 38, Dealer 03: 08, Dealer 11: 66

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By definition. a Translation is a transformation in which a figure is moved a fixed distance in a fixed direction.

The Image is the figure obtained after the transformation and the Pre-Image is the original figure.

In this case, you know that the figure shown in the picture must be translated 5 units up. Therefore, the rule for this transformation is:

You can identify that the marked point on the Pre-Image has the following coordinates:

Therefore, applying the rule for this transformation, you get that the coordinates of the marked point in the final figure, are:

The answer is:

Coordinates of the marked point in the original figure:

Coordinates of the marked point in the final figure:

Answer:

\(\pmb{3x^4-3x^3-3x^2+2x+2 }\)

we have to subtract 5×⁴-4׳+3ײ-2×from 8×⁴-7׳+2

\(8x^4-7x^3+2-(5x^4-4x^3+3x^2-2x)\\\\8x^4-7x^3+2-5x^4+4x^3-3x^2+2x\\\\3x^4-3x^3-3x^2+2x+2\)

The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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The two positive numbers are 6 and 11

From the question, we understand that:

There are two positive numbers

Represent these numbers with x and y

So, we have the following equations

x = y - 5

6x - 3y = 3

Substitute x = y - 5 in 6x - 3y = 3

6(y - 5) - 3y = 3

Open the brackets

6y - 30 - 3y = 3

Evaluate the like terms

3y = 33

Divide by 3

y = 11

Substitute y = 11 in x = y - 5

x = 11 - 5

So, we have

x = 6

hence, the numbers are 6 and 11

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The greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6.

This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6. This means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

To calculate the GCF, the prime factors of each number must be determined. The prime factors of 24 are 2 and 3 (2 x 2 x 2 x 3). The prime factors of 48 are 2 and 3 (2 x 2 x 2 x 2 x 3). The prime factors of 18 are 2 and 3 (2 x 3 x 3).

To determine the GCF, the highest power of each prime factor must be determined. In this case, the highest power of each prime factor is 3 (2 x 2 x 2 x 3). Therefore, the GCF of 24, 48, and 18 is 6. This means that the greatest number of baskets that can be made with the given items is 6.

In conclusion, the greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6. This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6, which means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

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Question:

Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5

Answer:

\(y = \frac{4}{5}x\)

Step-by-step explanation:

Required

Equation with 4/5 as its constant of proportion

Two proportional quantities x and y have the following relationship:

\(y = kx\)

Where k is the constant of proportion.

In this case:

\(k = \frac{4}{5}\)

So.

\(y = kx\) becomes

\(y = \frac{4}{5}x\)

A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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this letter in each box that contains the exercise's number. Factoring polynomials can be a tricky process, but it can be done with practice and a few key steps.

The first step is to identify if the polynomial is a prime or a composite. A prime polynomial cannot be factored, while a composite polynomial can be factored into two linear factors. Then, look for two numbers that can be multiplied together to give the constant term, and two numbers that add together to give the coefficient of the x-term. Once you have identified these numbers, factor out the greatest common factor and then separate the remaining terms into two binomials. Finally, use the distributive property to factor the binomials and simplify. The answers are: A. (x+2)(x+3) E. (x+1)(x+6) D. (x+4)(x+5) U. (x+4)(x+3) C. (x+2)(x+6) R. (x+1)(x+15) S. (x+1)(x+12) N. (x+3)(x+5) I. (x-3)(x+5) W. (x-5)(x+3) T. (x-3)(x-5) F. (x+7)(x-4) K. (x+4)(x-7) H. (x-7)(x-4) L. (x-11)(x+3) B. (x-3)(x+11)

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Lines that have the same slope are said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are merely intersecting lines.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

m = Δy/Δx = dy/dx = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = Δy/Δx = dy/dx = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer:

Without additional context or information, it's difficult to determine the missing side length with certainty. However, we can use some logical reasoning to make an educated guess.

One possible way to approach this problem is to look for relationships between the known side lengths and the missing side length. For example, we can look at the lengths of the sides that are adjacent to the missing side and see if there are any patterns or ratios that might help us determine the length of the missing side.

In this case, we can see that the missing side is adjacent to sides with lengths of 8 and 9, which have a difference of 1. If we assume that the sides of the figure form a regular pattern or sequence, then we might guess that the missing side has a length that is 1 greater than 9, which would give us a length of 10 for the missing side.

However, this is just a guess based on the limited information provided, and there could be other possible solutions depending on the specific properties or context of the figure.

Answer:

g(x) = (x - 3)^2 + 5

Step-by-step explanation:

If we want to shift the graph of f(x) = x^2 + 5  three  units to the right, rewrite

f(x) = x^2 + 5 as g(x) = (x - 3)^2 + 5

Answer:

uhhh ok

Step-by-step explanation:

Answer:

It's 211

Step-by-step explanation:

Just did it on edge

Answer:

211

Step-by-step explanation:

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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From the given measure of three triangles , triangle ABC is congruent to triangle LMN.

From the attached figure of the triangles,

First triangle,

let us consider first triangle named as ABC.

Measure of the side length of the first triangle are,

Let the side length with 3 cm = AB

side length with 5 cm = BC

side length with 6 cm = CA

let us consider second triangle named as PQR.

Measure of the side length of the second triangle are,

Let the side length with 3 cm = PQ

side length with 5 cm = QR

side length with 7 cm = RP

let us consider third triangle named as LMN.

Measure of the side length of the third triangle are,

Let the side length with 3 cm = LM

side length with 5 cm = MN

side length with 6 cm = NL

From the given measure of side length,

AB≅LM

BC ≅MN

CA ≅ NL

In ΔABC , ΔPQR

CA ≠RP

and In ΔPQR and ΔLMN

NL ≠RP

This implies,

By applying SSS (side-side -side )congruency theorem

Triangle ABC ≅LMN.

Therefore, triangle ABC is congruent to triangle LMN.

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The above question is incomplete, the complete question is:

Consider the following three triangles:

Which of the following triangles are congruent?

Attached figure.

The equation that describes the number of bacteria in both the foods when they are mixed is; Option C: 35T₂ + 55T + 450

We are given the equations that describes the number of bacteria in both the foods when they are mixed.

Equation for first bacteria is;

N₁(T) = 15T₂ + 60T + 300

Equation for second Bacteria is;

N₂(T) = 20T² - 5T + 150

The equation that describes the number of bacteria in both the foods when they are mixed is;

N₁(T) + N₂(T) = 15T₂ + 60T + 300 +  20T² - 5T + 150

⇒ 35T₂ + 55T + 450

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Step-by-step explanation:

Answer: x\(\geq\)42

Step-by-step explanation: 13-x-13≤–29-13                                                        -x+13-13≤-29-13                                                                                                     -x≤29+13                                                                                                                      x\(\geq\)42

Answer:

x = - 5

Step-by-step explanation:

the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the value of the x- coordinate of the vertex )

vertex = (- 5, 4 ) with x- coordinate - 5 , then

x = - 5 ← equation of the axis of symmetry

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

its B hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

To find

Solution

Correct option is C

Answer:

Yes math is hard.

Step-by-step explanation:

Math includes a bunch of equations and mumbo-jumbo.

Given:

Ratio of tulips to roses = 2:1

Total number of flowers = 18

To find:

The number of tulips.

Solution:

Let the number of tulips and roses are 2x and x respectively.

According to the question,

\(2x+x=18\)

\(3x=18\)

Divide both sides by 3.

\(x=\dfrac{18}{3}\)

\(x=6\)

Now,

Number of tulips \(=2(6)\)

                           \(=12\)

Therefore, the number of tulips is 12.