It takes 6 minutes to fill an empty aquarium to a depth of 3/8 meters.
what is the unit rate in minutes per meter?

write your answer in simplest form.

Answer:

The null hypothesis would not be rejected at an alpha level of 0.25.

Explanation:

When performing a hypothesis test, the alpha level (also known as the significance level) is the threshold for determining whether the null hypothesis should be rejected. If the p-value (the probability of observing the data given that the null hypothesis is true) is greater than the alpha level, then the null hypothesis is not rejected.

In your question, you stated that the null hypothesis was not rejected at an alpha level of 0.05, which means that the p-value was greater than 0.05. If you increase the alpha level to 0.25, this means that you are setting a higher threshold for rejecting the null hypothesis. Therefore, if the null hypothesis was not rejected at an alpha level of 0.05, it will also not be rejected at an alpha level of 0.25.

Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

What is the section formula in coordinate geometry?

When the line segment is divided internally in the ratio m:n, we use this formula.  That is when point C lies somewhere between points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)

Given here,  point B on AC such that the ratio of AB to AC is 5:6

Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,

p= (mx₂+nx₁)/(m+n)

q= (my₂+ny₁)/(m+n)

Here. m=5 and n=6

p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11

Hence, the Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

I hope this helps <3

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Creation

There is no other way

The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

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Answer:

x = 36°

Step-by-step explanation:

There are 180° on a line so 180° - 126° = 54°

54° is one of the angles and so is 90° (because it is a right angle)

Therefore, now we know that x = 180° - (54° + 90°)

54° + 90° = 144°

180° - 144° = 36°

x = 36°

Answer:

x = 36

Step-by-step explanation:

solution:

we have given,

            in the right angled triangle.

             exterior angle = \(126^{o}\)

we know,

          exterior angle = sum of interior non adjacent angle

   so,   \(126^o\) = \(x + 90^o\)    [∵ one angle of right angled triangle is \(90^o\)]

     or,  \(x = 126^o - 90^o\\\)

     or,  \(x = 36^o\)

hence, the value of x is \(36^o\)

let's notice, this is a Cube, namely all equal sides, and mind you it has 6 sides, Check the picture below.

\(\stackrel{\textit{area of all 6 sides}}{6(9\cdot 9)\implies 486}\)

Based on the given answer choices, the number of newspaper journalists working in the United States during the last decade has most likely decreased by 50%.

During the last decade, the number of newspaper journalists working in the United States has decreased by 50%. This decline can be attributed to various factors, including the rise of digital media, changing consumer preferences, and economic challenges faced by the newspaper industry.

The advent of online news platforms and social media has led to a shift in how people consume news, with a greater emphasis on digital content. As a result, traditional print newspapers have seen a decline in readership and advertising revenue, leading to downsizing and layoffs within the industry. This decrease in the number of newspaper journalists highlights the ongoing transformation and challenges faced by the journalism profession in the digital age.

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Answer:

40%

the whole this is 250% nod nod

To develop a variable control chart with three-sigma control limits for 10 samples, each containing 20 observations, the value of D4 that should be used for the R-Chart is approximately 2.282.

The value of D4 is a constant used in the calculation of control limits for the R-Chart, which monitors the variability or range within each sample. The control limits for the R-Chart are typically set at three times the average range (R-bar) of the samples.

The value of D4 depends on the sample size and is found in statistical tables or can be calculated using mathematical formulas. For a sample size of 10, the value of D4 is approximately 2.282. This value ensures that the control limits are set at three times the average range, providing an appropriate measure of variability and indicating when a process is out of control.

By using the value of D4 = 2.282 in the R-Chart calculation, you can establish three-sigma control limits that effectively monitor the variability in the process and help identify any unusual or out-of-control variation.

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Answer:

Step-by-step explanation:

If two vectors are perpendicular to each other then their scalar(dot) product must be zero.

Therefore,  

A

.

B

=0

(2

i

^

+2

j

^

​

+3

k

^

)⋅(3

i

^

+6

j

^

​

+n

k

^

)=0

6+12+3n=0

3n=−18

n=−6

I cannot answer this question without more context.

The statement "there exists i such that si > a" is incomplete and ambiguous without knowing the definitions of the variables involved. Please provide more information or context to enable me to answer the question accurately.

The world will use 273366 billion cubic feet of natural gas from 1990 to 2017. is the answer.

Given data: In 1990 (t = 0), the world use of natural gas was 76382 billion cubic feet, and the demand for natural gas was growing exponentially at the rate of 6.5% per year. We need to find how many cubic feet of natural gas will the world use from 1990 to 2017.

Using the exponential growth model, we have; P(t) = P(0) (1 + r) t where,

P(0) = Initial population = 76382 billion cubic feet

r = growth rate = 6.5% = 0.065 (in decimal form)

t = time = 27 years (2017 - 1990)

Putting all these values in the above equation; P(t) = 76382 (1 + 0.065)27 = 76382 (1.065)27 = 76382 (3.5796)

P(t) = 273366 billion cubic feet

Therefore, the world will use 273366 billion cubic feet of natural gas from 1990 to 2017.

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Answer:

Simplifying

x + 8y = 15

Solving

x + 8y = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8y' to each side of the equation.

x + 8y + -8y = 15 + -8y

Combine like terms: 8y + -8y = 0

x + 0 = 15 + -8y

x = 15 + -8y

Simplifying

x = 15 + -8y

Answer:

2.8 pounds

Step-by-step explanation:

2 + 12 = 14

so there 14 pounds

14 / 5 = 2.8

each freind will receive 2.8 pounds of berries

Answer

i think its....

Step-by-step explanation:

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

\(\frac{x}{15}=\:\frac{12}{20}\)

Cross Multiply the expression

\(\:20\times x=12\times 15\)

Divide both sides by 20

\(\frac{20x }{20}=\frac{180}{20}\)

\(x=9\)

Therefore, the value of x = 9

Answer:

B

Step-by-step explanation:

(m^-2 n^-3)^-4

-2 x -4 = 8

-3 x -4 = 12

m^8n^12

The given expression (m − 2n − 3) − 4 is equivalent to →

(m - 2n - 7).

Given is the expression -

(m − 2n − 3) − 4

The given expression is -

(m − 2n − 3) − 4

m - 2n - 3 - 4

m - 2n - 7

Therefore, the given expression (m − 2n − 3) − 4 is equivalent to →

(m - 2n - 7).

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The fraction number negative 6/2 in the simplified form will be negative 3.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The fraction number is given below.

⇒ - 6 / 2

Simplify the fraction number, then we have

⇒ - 6 / 2

⇒ - 3

The fraction number negative 6/2 in the simplified form will be negative 3.

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Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

the radius of the circle would be 91.67

13.54055................

The type of queuing model applying for the  arrival rate of customers follows a poisson distribution is "M/M/2".

When consumers arrive at random to obtain a service and the service time is also a random variable, a queuing model is an appropriate model to represent the situation.

For the stated question-

Thus, the kind of queuing model uses is "M/M/2".

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a) The constant k is 5.427 x 10^−12 and its natural logarithm is -26.68.

b) The mean salary of the given model by using the probability density function is approximately $270.86.

a) The cumulative distribution function of the given random variable is provided as follows:

F(x) = {1−kx^−3 if x>44000, and 0 otherwise

The cumulative distribution function is given as

F(x) = 1−kx^−3 if x>44000 and F(x) = 0, if x≤44000i)

We need to check the value of the cumulative distribution function at 44000

We have, F(44000) = 0

0 = 1−k(44000)^−3

⇒ 1 = k(44000)^−3

⇒ k = 1/(44000)^−3

⇒ 5.427 x 10^−12

Taking the natural logarithm of k, we have ln(k) = −28.68 (approx.)

Hence, the constant k is 5.427 x 10^−12 and its natural logarithm to three decimal places is -28.68

b) The probability density function is given as,

f(x) = F'(x) = 3kx^−4, for x>44000 and f(x) = 0, otherwise

The mean or expected value of the random variable is given as

E(X) = ∫[−∞,∞]xf(x)dx

= ∫[44000,∞]x(3kx^−4)dx

= 3k∫[44000,∞]x^−3dx

= 3k[(−1/2)x^−2] [∞,44000]

= (3k/2)(44000)^−2

= 270.86 (approx.)

Therefore, the mean salary given by the model is $270.86 (approx.)

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Answer:-

Step-by-step explanation:

-120 - 40- would be -160 because when negative you go up when subtracting.

(not sure if I'm right. take this answer at your own risk)

The probability of getting  one sequence of six heads and six tails in a million tosses is almost certain, approaching 1.

The probability of getting one sequence of six heads and six tails in a million tosses,  the concept of complementary probability.

First, let's calculate the probability of not getting any sequence of six heads and six tails in a million tosses.

The probability of not getting a specific sequence of six heads and six tails in a single toss is 1/2²12 since there are 12 coin flips in that sequence. Therefore, the probability of not getting the specific sequence in a million tosses is (1/2²12)²1,000,000.

The probability of not getting any sequence of six heads and six tails in a million tosses can be calculated by subtracting the probability of getting one sequence from 1:

Probability of not getting any sequence = 1 - (1/2²12)²1,000,000

calculate this probability:

Probability of at least one sequence = 1 - (1/2²12)²1,000,000

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The standard deviation of the number of heads seen when a fair coin is flipped 100 times is 5.

To calculate the standard deviation of the number of heads seen when a fair coin is flipped 100 times, we need to consider the binomial distribution. In this case, the number of trials (n) is 100, and the probability of success (p) is 0.5 since the coin is fair.

The formula for the standard deviation of a binomial distribution is given by:

Standard Deviation = √(n * p * (1 - p))

Plugging in the values, we have:

Standard Deviation = √(100 * 0.5 * (1 - 0.5))

                 = √(50 * 0.5)

                 = √25

                 = 5

Therefore, the standard deviation of the number of heads seen when a fair coin is flipped 100 times is 5.

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9514 1404 393

Answer:

  c, d, e

Step-by-step explanation:

The first two listed points are not in the solution set. The remaining three are.

__

Any point in the doubly-shaded area, or on the solid boundary line of that area is part of the solution set. Points (-1, -6), (0, -5), and (0.5, -2) are solutions to the given inequalities.

The answer to this question is C) 0.8. This can be determined using the Pythagorean Theorem.

What is Pythagorean theorem?

The Pythagorean Theorem is one of the most important theorems in mathematics, and it has been used for centuries to solve various mathematical problems. It is a fundamental tool for measuring distances and calculating angles in Euclidean geometry.

The theorem can be expressed as an equation, a^2 + b^2 = c^2, where a and b are the lengths of the sides of the triangle, and c is the length of the hypotenuse. This equation can be used to calculate the lengths of the sides of a right-angled triangle if two of the sides are known.

The theorem states that the sum of the squares of the lengths of the two legs of the triangle is equal to the square of the length of the hypotenuse. In this case, the legs of the triangle are AB and BC, each of which is 10 units long. Therefore, the formula for this triangle is 10² + 10² = 12², or 100 + 100 = 144. Solving this equation shows that the length of the hypotenuse, AC, is equal to 12 units, which is a ratio of 0.8 compared to the lengths of the two legs. Therefore, the correct answer is C) 0.8.

The value of sin can then be determined using the sine formula, which states that the ratio of the length of the side opposite the angle to the length of the hypotenuse is equal to the sine of the angle. In this case, the side opposite the angle is AB, which is 10 units long. The hypotenuse is AC, which is 12 units long. Therefore, the sine of the angle is equal to 10/12, or 0.8. Therefore, the value of sin is 0.8.

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