Meg has 3/10 liter of juice left in her bottle, Ines has 3 times as much juice in her bottle as Meg has How much juice, in liters, does Ines have?

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

Answer:

A. The sampling distribution follows a normal distribution

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered  

Step-by-step explanation:

The given parameters are;

The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names

The number of people randomly selected in the survey, n = 55 people

The average number of names correctly remembered, \(\overline x_1\) = 18.16

The standard deviation of the group surveyed, s = 4.28

A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution

B. The 90% confidence interval is given as follows;

\(C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}\)

Where \(z_{\alpha /2}\) at 90% = 1.65, we have;

\(C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}\)

C.I. ≈ 17.20 < μ < 19.11

With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.

Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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Answer:

$4.00 for a bag of popcorn

PLUG IN THE VALUES OF THE VARIABLES IN THE RIGHT POSITIONS AND SIMPLIFY.

\( \frac{1}{2} (12 - 4) \times \frac{1}{4} \\ = \frac{1}{2} (8) \times \frac{1}{4} \\ = \frac{8}{2} \times \frac{1}{4} \\ = \frac{8}{8} \\ = 1\)

THE ANSWER IS OPTION B.

Answer:

Step-by-step explanation:

y=10

Step-by-step explanation:

I don't see the equations.

but I can build some myself :

x = number of hamburger packages

y = number of hotdogs packages

x + y = 9

9x + 2y = 25

the first equation tells us after moving y to the right side

x = -y + 9

and that we are using now in the second equation :

9(-y + 9) + 2y = 25

-9y + 81 + 2y = 25

-7y = -56

y = 8

x = -y + 9 = -8 + 9 = 1

The given board measures include 30 pieces of 4x4x12' lumber, 144 pieces of 2x8x16' lumber, and 19 pieces of 2x6x6' lumber.

In the first measure, there are 30 pieces of lumber, each measuring 4 inches by 4 inches by 12 feet. This implies that each piece has a width and depth of 4 inches and a length of 12 feet.

In the second measure, there are 144 pieces of lumber, each measuring 2 inches by 8 inches by 16 feet. Each piece has a width of 2 inches, a depth of 8 inches, and a length of 16 feet.

Finally, the third measure consists of 19 pieces of lumber, each measuring 2 inches by 6 inches by 6 feet. This means that each piece has a width of 2 inches, a depth of 6 inches, and a length of 6 feet.

These board measures provide information about the quantities and dimensions of the lumber pieces, enabling accurate planning and estimation for construction or woodworking projects.

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Answer:

approximately 3.14

Step-by-step explanation:

The probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.02712.

Probability of natural occurrences = 0.82Probability of outside factors = 0.18To find the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors, we have to consider two possibilities:

The first two patients are due to natural occurrences, or the first two patients are due to outside factors.If the first two patients are due to natural occurrences, the probability of the third patient being the first due to outside factors is:0.82 x 0.82 x 0.18 = 0.12272

If the first two patients are due to outside factors, the probability of the third patient being the first due to outside factors is:0.18 x 0.82 x 0.82 = 0.12272

Therefore, the total probability of the third patient being the first due to outside factors is the sum of these two probabilities:0.12272 + 0.12272 = 0.24544But, we have counted the case where all three patients have outside factors twice, so we need to subtract that probability once:0.24544 - 0.01836 = 0.22708

Therefore, the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.22708 or approximately 0.02712.

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Answer:

10*20*6=1200cm³

1200cm³=1200ml

copy the given expression on your answer sheet

Step-by-step explanation:

5 = 5(-4)+c

5 = -20 + c

5+20= 25

25= c

so

y = 5x + 25

Answer:

m= 5

Points=(-4,5)

y-y'= m(x-x')

y-5 = 5(x-(-4)

y-5=5(x+4)

y-5=5x + 20

y - 5x -25 = 0

Or

y= 5x + 25.

Using the Empirical Rule, it is found that there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.

It states that, for a normally distributed random variable:

In this problem, the mean height of 76 inches and a standard deviation of 4.7 inches, hence 71.4 and 80.7 inches is within 1 standard deviation of the mean, that is, there is a 68% probability this year that it will snow between 71.4 and 80.7 inches in Anchorage.

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Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

To find the sum of an arithmetic series, we can use the formula:

Sn = (n/2) * (a1 + an)

where Sn represents the sum of the series, n represents the number of terms, a1 represents the first term, and an represents the nth term.

In this case, the first term (a1) is 5, and the common difference (d) is 7 - 5 = 2.

Let's determine the value of n for which the series has the sum 165:

165 = (n/2) * (5 + an)

We can substitute an with the nth term of the series, which can be found using the formula:

an = a1 + (n - 1) * d

an = 5 + (n - 1) * 2

an = 5 + 2n - 2

an = 2n + 3

Now, we can substitute this value in the sum equation:

165 = (n/2) * (5 + 2n + 3)

165 = (n/2) * (2n + 8)

Simplifying further:

165 = n * (n + 4)

165 = n^2 + 4n

Rearranging the equation:

n^2 + 4n - 165 = 0

Now we can solve this quadratic equation to find the value(s) of n. Factoring or using the quadratic formula, we find:

(n - 11)(n + 15) = 0

So n = 11 or n = -15.

Since the number of terms cannot be negative, we discard n = -15.

Therefore, the value of n for which the series has the sum 165 is n = 11.

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Therefore, a raw score of 30 in the original distribution corresponds to a value of 10 in the new standardized distribution.

To find the corresponding value in the new standardized distribution for a raw score of 30, we can use the concept of z-scores.

The z-score is a measure of how many standard deviations an observation is away from the mean in a standard normal distribution. It is calculated as:

z = (x - μ) / σ

Where:

z is the z-score,

x is the raw score,

μ is the mean of the original distribution, and

σ is the standard deviation of the original distribution.

In the given problem, we have the following information:

μ (mean of the original distribution) = 38

σ (standard deviation of the original distribution) = 2

We want to find the corresponding value in the new standardized distribution for a raw score of 30. Let's denote this as x'.

In the standardized distribution, the mean is 50 and the standard deviation is 10. Therefore, the corresponding z-score for x' is:

z' = (x' - 50) / 10

Since we want to find x' for a given raw score of 30, we can rearrange the formula to solve for x':

x' = z' * 10 + 50

Now, let's calculate the z-score for the raw score of 30 in the original distribution:

z = (30 - 38) / 2

z = -4

Substituting this value into the formula for x' in the standardized distribution:

x' = (-4) * 10 + 50

x' = -40 + 50

x' = 10

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Answer:

i think its a or d

Step-by-step explanation:

Answer:

11,000 km/hr

Step-by-step explanation:

Distance= speed x time

time= 55 km/hr

speed= 200 kn

=200 km x 55 km/hr

= 11,000 km/hr

At an average speed of 55 km/hr the car will cover a distance of 200 km

in  3.6 hours.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know, distance = speed×time or d = st.

Given, A car to travel 200 km if it has an average speed of 55 km/hr.

Therefore, From d = st we have,

200 = 55t.

t = 200/55.

t = 3.6 hours.

The relative speed is the net speed of two different objects with respect to each other.

If two objects move in the same direction we take the difference between their speeds.

If two objects move in the opposite direction we take the sum of their speeds.

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y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.

To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.

The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.

Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:

θ = arcsin(opposite / hypotenuse)

θ = arcsin(1.2 / 4000)

θ ≈ 0.000286478 radians

To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:

Arc measure (in degrees) = θ * (180 / π)

Arc measure ≈ 0.000286478 * (180 / π)

Arc measure ≈ 0.0164 degrees

Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

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There are  212520  ways by which guests arrange themselves on a four person coach.

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged. Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of the arrangement matters.

there are total 23 guests and they arranged themselves in 4 person coach,

so,

n = 23 and r = 4

npr = n!/(n-r)!

= 23!/(23-4)!

= 23!/19!

= 23x 22 x 21 x 20x 19!/19!

now cancel the factorial 19 from numerator as well as denominator

=  23x 22 x 21 x 20

= 212520

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Answer:

1. Forty-two less than a number z

2. The product of eleven and a number k

3. A number t increased by seventy

4. The quotient of forty-three and a number m

5. Sixty-four added to a number w

6. One-hundred decreased by a number j

7. The sum of a number g and nine

8. Seventeen fewer than a number h

9. One-fourth of a number v

The scenario that is an example of simple random sampling is option C: "A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey."

Simple random sampling is a method of selecting a sample from a population in which every member of the population has an equal chance of being chosen.

In option C, the supermarket chooses every 20th customer entering the store, which ensures that each customer has an equal chance of being selected. Therefore, this is an example of simple random sampling.

Options A, B, and D do not meet the criteria for simple random sampling, as they involve selecting specific regions, asking for opinions from readers, or mailing questionnaires to students, which does not ensure that every member of the population has an equal chance of being selected.

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Answer:

5y=letters

Step-by-step explanation:

5 is the slope in the equation and (y) is the months. In order to find out how many letters Aaron wrote, we multiply 5 by y to get the total.

The possible roots of the polynomial function f(x) is, 2/7

The polynomials are the algebraic expressions, which have multiple powers.

And based on powers of polynomials, we can categorize polynomials into following categories-

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

A polynomial function f(x) ,

Having a leading coefficient of 7 and a constant term of 2

The  possible roots of f(x) = ?

According to the Rational Root Theorem,  

Rational zero of polynomial = p/q

p  =  constant term of the polynomial

q  =  leading coefficient of the polynomial

Rational Zero =  a₀/aₙ

                       =  2/7

Hence, the rational zero is 2/7

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