a consumer analyst reports that the mean life of a certain type of alkaline battery is no more than 36 months. write the null and alternative hypotheses and note which is the claim.

Answer:

Hello!

___________________-

196 1/12 - 13 9/12 = 547/3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!

Answer:

547/3 I think :>

Step-by-step explanation:

Answer:

there is no real solution

Step-by-step explanation:

There is no number that, when squared, produces a negative value. A negative multiplied by a negative gives a positive, and a positive times a positive gives a positive. You can however have a ± symbol to indicate that the root of 36 could be either positive or negative

The complete sentence is

Danielle’s drive is 10 times less than that of Nina’s drive

From the question, we are complete the given sentence

The given sentence is

Danielle’s drive is _____ than that of Nina’s drive.

That is,

We are to determine how many times less or greater Danielle’s drive is to Nina’s drive

From the given information,

Nina drives 0.9 of a mile to the grocery store

and

Danielle drives 0.09 of a mile to school

First, we will divide 0.9 by 0.09

0.9/0.09 = 10

This means 0.9 is 10 times greater than 0.09

OR

0.09 is 10 times lesser than 0.9

Thus,

Danielle’s drive is 10 times less than that of Nina’s drive

Hence, the complete sentence is

Danielle’s drive is 10 times less than that of Nina’s drive

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:

25 = units Jose travelled

Jh to Th = x moves 12 across  

and y moves 0 is constant (up/down or constant)

Th to FF = x moves 0 stays constant and y moves 13 left

12 + 13 = 25

The purpose of this exercise is concerning parabolas = curve equations

x has two points x = -6 and x = 6

y has two points y = -5 and y = 8

however we cant plot this as ANSWER without using all the coordinates

y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.

Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)

Straight line equation

Plug in Jose's coordinates given in the question.

Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46  multiply out

= y+6 = 6x + 46 -6 cancel out with -6

= y = 6x+40

the answer therefore becomes  y=6x+40

Plug in the same for Tyrell coordinates given in the question.

y - 6 = -6 (x + 8 ) = y-6 = -6x + 46  multiply out

= y-6 = -6x - 46 + 6 cancel out with +6

= y = -6x+52

and is a decrease of 6 i various ways.  

Plug in for Football field coordinates given in the question.

y-6 = -6(x -5)

= y -6 = -6x +30

= y = -6x + 30+6

= y = -6x + 36

Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |

= 10+10 to represent each side = 20 then +5 = 25

As the shift in the curve makes negative positive and positive negative.

= 25 units

Given that there are, on average, 16 rats per city block with a standard deviation of 4 rats per block, the probability that a random block has at least one rat can be determined by calculating the complementary probability of having zero rats using the normal distribution.

To calculate the probability of a random block having at least one rat, we can calculate the complementary probability of having zero rats. First, we need to convert the problem into a standard normal distribution by using the formula z = (x - μ) / σ, where x is the value (in this case, zero rats), μ is the mean (16 rats), and σ is the standard deviation (4 rats).

Substituting the values, we have z = (0 - 16) / 4 = -4.

Next, we can find the corresponding cumulative probability associated with a z-score of -4 using the standard normal distribution table or a calculator. The probability of having zero rats is equivalent to the probability of having at least one rat, which is the complement of the probability of having zero rats.

Therefore, the probability of a random block having at least one rat is approximately 1 - P(Z < -4), where P(Z < -4) represents the cumulative probability associated with a z-score of -4. This probability is extremely close to 1, indicating a high likelihood that a random block will have at least one rat.

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The linear equation of the first table is y = 1 / 3 x + 5

The solution to the system of equation is (3, 6)

Since, We know that Point slope equation;

y = mx + b

where

m = slope

b = y-intercept

Therefore, y = - 1 /3 x + 7 is the equation for the second table.

The equation for the first table can be solved using (0, 5)(3, 6) from the table. Therefore,

m = 6 - 5 / 3 - 0

m = 1 / 3

let's find b using (0, 5)

5 = 1 / 3(0) + b

b = 5

Therefore, the equation of the first table is as follows:

y = 1 / 3 x + 5

The solution to the system of equation can be calculated as follows:

y + 1 /3 x  = 7

y - 1 / 3 x  = 5

2y = 12

y = 12 / 2

y = 6

6 - 1 / 3 x = 5

- 1 / 3 x = 5 - 6

- 1 / 3 x = - 1

x = 3

Therefore, the solution to the system of equation is (3, 6)

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Answer:

The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.

Step-by-step explanation:

A rule using variables is a mathematical function that relates one quantity to another.

The variables in the rule can be manipulated to find the value of one quantity when given the value of the other.

For example, the rule y = 3x + 2 relates the variable y to the variable x, and can be used to find the value of y when given a value of x.

Another example of a rule using variables is the Pythagorean theorem, which states that a² + b² = c², where a, b, and c are the sides of a right triangle.

This rule can be used to find the length of any side of a right triangle when given the lengths of the other two sides.

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To design the table, you could create a "Sports" table and a "Patient-Sport" table with the following fields:

Sports table:                                      Patient-Sport table:

SportID (primary key)                        PatientID (foreign key)

SportName                                        SportID (foreign key)

A database is a collection of organized data stored and retrieved electronically. It is designed to allow efficient storage, retrieval, manipulation, and management of large amounts of data. Databases can be used to store information such as text, numbers, images, and other media. The data in a database is typically organized into tables, which are made up of rows and columns. Each row represents a single record, and each column represents a field of information within that record. There are many different types of databases, including relational databases, NoSQL databases, and in-memory databases, and they are used in a wide range of applications, such as online retail, finance, healthcare, and more.

The Patient-Sport table is used to connect the patient to the sport they are playing. This allows for multiple sports to be assigned to a single patient. In this way, you can track the sports played by each patient, while still maintaining the relationships between the patient and their data in the other tables.

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Answer:

\(\text {The \ area \ of \ the \ shaded \ segment, A} = 3 \cdot \pi - \dfrac{9}{4} \cdot \sqrt{3}\)

Step-by-step explanation:

The details of the circle that has the shaded segment, and the segment are;

The radius of the circle, r = 3

The angle of the arc of the segment, θ = 120°

The area of a segment, A, is given as follows;

\(A = \dfrac{\theta}{360^{\circ}} \times \pi \times r^2 - \dfrac{1}{2} \times r^2 \times sin(\theta)\)

The area of the given segment is therefore;

\(A = \dfrac{120^{\circ}}{360^{\circ}} \times \pi \times 3^2 - \dfrac{1}{2} \times 3^2 \times sin(120^{\circ}) = \dfrac{12\cdot \pi-9\cdot \sqrt{3} }{4} = 3\cdot \pi - (9/4)\cdot \sqrt{3}\)

(a) The interval on which f is increasing: (0, ∞)

The interval on which f is decreasing: (0, 1)

(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.

There is no local maximum value.

(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.

The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.

To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).

To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).

The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.

There is no local maximum in this function since the derivative does not change from positive to negative.

The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.

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Answer:

1) Change the length of side AB to 2 feet

Step-by-step explanation:

Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.

To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

\( \frac{PR}{AC} = \frac{PQ}{AB} \)

We will assume AB is unknown.

PR = 7.5 ft

AC = 2.5 ft

PQ = 6 ft

Plug in the values into the equation

\( \frac{7.5}{2.5} = \frac{6}{AB} \)

Cross multiply

\( AB*7.5 = 6*2.5 \)

\( AB*7.5 = 15 \)

Divide both sides by 7.5

\( AB = 2 \)

The architect should change the length of AB to 2 ft

a. The time at which the population is at a maximum is 25 hours. b. The maximum population is 1,182,500.

A polynomial function of degree 2 is a quadratic function, while one of degree 1 is a linear function. The formula for a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants and an is not equal to 0. A parabola, a U-shaped curve, is the graph of a quadratic function. Depending on the sign of the leading coefficient, the function's minimum or maximum value is located at the parabola's vertex.

a) The highest value of the population function, which is a quadratic function with a negative leading coefficient, occurs near the parabola's vertex.

Thus, t = -b/2a.

Substituting the values  a = -1698, b = 85,000, and c = 10,000 we have:

t = -85000 / 2(-1698) = 25

Therefore, the time at which the population is at a maximum is 25 hours.

b) To determine the maximum population we substitute the value of t = 25.

p(25) = -1698(25)² + 85,000(25) + 10,000 = 1,182,500

Therefore, the maximum population is 1,182,500.

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Answer:

The equation that is graphed is y = one-half cosine (2 x) minus 1.

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

(1.5, 11)

Step-by-step explanation:

Answer:

197.1

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

a^2 - b^2

6^2 - (-3^2)

36 - (9)

36 - 9= 27

Answer:

0.000154

Step-by-step explanation:

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

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Length of Simon's tent = 6 feet

Distance from the bottom of the tent to the tent's base = 8 feet

Let the length of rope be R.

The tent and the rope forms a right angle triangle where the rope is the hypotenuse.

We know that :

\(\color{hotpink} \tt{hypotenuse}^{2} \color{plum}= {base}^{2} + {height}^{2} \)

Which means :

\( = \tt {R}^{2} = {6}^{2} + {8}^{2} \)

\( =\tt {R}^{2} = 36 + 64\)

\( = \tt {R}^{2} = 100\)

\( =\tt R = \sqrt{100} \)

\(\hookrightarrow\color{plum}\tt \bold{R = 10 \: feet}\)

Thus, the hypotenuse of this triangle = 10 feet

▪︎Therefore, the length of the rope = 10 feet

The given system of linear differential equations x' * (t) = [[2, 1], [1, 1]] * x(t) can be written as x' * (t) = A * x(t), where A is the matrix [[2, 1], [1, 1]]. We need to find the eigenvalues and eigenvectors of A.

First, let's find the eigenvalues. We solve the characteristic equation det(A - λI) = 0, where I is the identity matrix: det([[2, 1], [1, 1]] - λ[[1, 0], [0, 1]]) = 0

Expanding the determinant, we get:

(2 - λ)(1 - λ) - 1 = 0

λ² - 3λ + 1 = 0

Using the quadratic formula, we find the eigenvalues:

λ₁ = (3 + sqrt(5))/2

λ₂ = (3 - sqrt(5))/2

Next, we find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0:

For λ₁ = (3 + sqrt(5))/2:

[[2 - (3 + sqrt(5))/2, 1], [1, 1 - (3 + sqrt(5))/2]] * [[v₁₁], [v₁₂]] = [[0], [0]]

Simplifying the matrix equation, we get:

[[(1 - sqrt(5))/2, 1], [1, (1 - sqrt(5))/2]] * [[v₁₁], [v₁₂]] = [[0], [0]]

Solving this system of equations, we find the eigenvector [[v₁₁], [v₁₂]].

Similarly, for λ₂ = (3 - sqrt(5))/2, we solve the equation:

[[(1 + sqrt(5))/2, 1], [1, (1 + sqrt(5))/2]] * [[v₂₁], [v₂₂]] = [[0], [0]]

Solving this system of equations, we find the eigenvector [[v₂₁], [v₂₂]].

Finally, we have found the vectors [[d₁], [d₂]] = [[(3 - sqrt(5))/2], [(3 + sqrt(5))/2]], [[v₁₁], [v₁₂]], and [[v₂₁], [v₂₂]].

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Answer:

x = 15 * 2 + 3

Step-by-step explanation:

hope this helps!

Answer:

need to know the dimentions of the room

Step-by-step explanation:

Answer:

€18 is the answer

If you’ve been given an estimate, use that to determine how much £13.50 would be by cross multiplying

Answer: A     27√2

Step-by-step explanation:

You first need to simplify the roots

3√50+4√18

= \(3\sqrt{2*25} +4\sqrt{9*2}\)       break up what is under the root into factors of 50 and 18, make perfect squares is best.

For the first term,  You can take the √25 =5 so 5 comes out and is multiplied by the 3 but the 2 stays unders the root

For the second term, you can take √9 =3 so 3 comes out and is multipled by the 4 but the 2 stays under the root.

=5*3√2 +4*3√2

=15√2 +12√2     now they are same terms so you can add

=27√2

Answer: The answer would be $60

Step-by-step explanation: You would first wanna solve for how much one pound of shrimp costs, which is $7.5 (you divide 25.50 by 3.4) Then you would want to multiply 7.5 by 8 to get how much 8 pounds of shrimp costs.