a large toiletry distributor claims that 35% of all individuals who purchase toilet paper from the stores that carry its product choose original toilet paper, 28% choose sensitive toilet paper, 20% choose ultra-strong toilet paper, and 17% choose ultra-soft toilet paper. to investigate this claim, researchers collected data from a random sample of customers in a large city. the results were 170 packages of original, 105 sensitive, 80 ultra-strong, and 45 ultra-soft toilet paper purchases. are the data from the sample consistent with the distributor's claim? conduct an appropriate statistical test at the 5% significance level to support your conclusion. make sure to include parameters, check conditions, and show calculations before formulating a conclusion.

Answer:

its d because your switching it up.

Answer:

7.625

Step-by-step explanation:

This would be written like this bc to 3 decimal places its 5.You then round 4 up to 5,because the third decimal place is higher than 4.

Answer:

7.265

Step-by-step explanation:

You count three places after the decimal point which is 264 since there is a 5 after the 4 the 5 tells you round the 4 up to a 5

The statement "If A and B are diagonalizable n x n matrices, then so is A + B" is false.

The statement is false because the sum of two diagonalizable matrices may not necessarily be diagonalizable. In general, diagonalizability is not preserved under matrix addition. Counterexamples can be constructed where both A and B are diagonalizable matrices, but their sum A + B is not diagonalizable.

The given matrices A and B provide counterexamples to the statement. For example, consider A = [[0, -1], [1, 0]] and B = [[-1, 0], [0, -1]]. Both A and B are diagonalizable matrices, but their sum A + B = [[-1, -1], [1, -1]] is not diagonalizable.

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the complete question is:

Determine if the statement is true or false, and justify your answer:

"If A and B are diagonalizable n x n matrices, then so is A + B."

Answer:

The value of \(m\) is -30.

Step-by-step explanation:

Let \(27\cdot x^{2}+m\cdot x +8 = 0\), we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:

\(x^{2}+\frac{m}{27}\cdot x + \frac{8}{27} = 0\) (1)

\(-x^{2}-x = \frac{m}{27}\) (2)

\(x^{3} = \frac{8}{27}\) (3)

From (3) we find the least root:

\(x = \sqrt [3]{\frac{8}{27}}\)

\(x = \frac{2}{3}\)

By (2) we have the value of \(m\):

\(m = -27\cdot (x^{2}+x)\)

\(m = -30\)

Answer:

rounded to the nearest tenth = 3.7

Answer: 3.7

Step-by-step explanation: because i learn this a book called big fst notbook math by Walbook i recomed it to you

The volume of the box with surface area 10 is given by the formula V = 2.5x^2 - 0.25x^4, where x is the length of a side of the square base.

To find a formula for the volume of the box with surface area A and square base with side x, we first need to find the height of the box. Since the box has a square base, the area of the base is x^2. The remaining surface area is the sum of the areas of the four sides, each of which is a rectangle with base x and height h. Therefore, the surface area A is given by:

A = x^2 + 4xh

Solving for h, we get:

h = (A - x^2) / 4x

The volume V of the box is given by:

V = x^2 * h

Substituting the expression for h, we get:

V = x^2 * (A - x^2) / 4x

Simplifying, we get:

V = (Ax^2 - x^4) / 4

The domain of V is all non-negative real numbers, since both x^2 and A are non-negative.

To graph V as a function of x, we can use a graphing calculator or plot points using a table of values. The graph will be a parabola opening downwards, with x-intercepts at 0 and sqrt(A) and a maximum at x = sqrt(A) / sqrt(2).

To find the maximum value of V, we can take the derivative of V with respect to x and set it equal to 0:

dV/dx = (2Ax - 4x^3) / 4

Setting this equal to 0 and solving for x, we get:

x = sqrt(A) / sqrt(2)

Plugging this value of x into the formula for V, we get:

V = A^1.5 / (4sqrt(2))

Therefore, the maximum value of V is A^1.5 / (4sqrt(2)).

To find the formula for the volume of a box having surface area 10, we simply replace A with 10 in the formula we derived earlier:

V = (10x^2 - x^4) / 4

Simplifying, we get:

V = 2.5x^2 - 0.25x^4

Therefore, the volume of the box with surface area 10 is given by the formula V = 2.5x^2 - 0.25x^4, where x is the length of a side of the square base. The domain of V is all non-negative real numbers.

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USB Type-C is a proprietary connector type that features a symmetrical/reversible connector plug. It was developed as a substitute for all current USB connectors. It is known for its versatility and ease of use, making it a popular choice for manufacturers.

The proprietary connector type that features a symmetrical/reversible connector plug is USB Type-C.USB Type-C: Proprietary connector type

USB Type-C is a proprietary connector type that has a symmetrical/reversible connector plug. It was created in August 2014 and was intended to be a substitute for all existing USB connectors. The connector, which is completely reversible, has a symmetrical design that eliminates the need for device-specific plugs and cables.USB Type-C allows for higher power transmission, making it ideal for devices that require fast charging. It has a faster data transfer rate than USB 3.0, making it faster than its predecessor.USB Type-C's primary goal is to provide a single connector solution that can be used for power, data, and display. The ability to plug the connector in either way makes it simple to use and eliminates the possibility of damaging the port.USB Type-C is now becoming more common in modern devices, including smartphones, tablets, and laptops. Its versatility and ease of use make it a popular choice for manufacturers.

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The Area of given shape is 170 square inches. The shape is combination of two rectangle.

A shape that is made by combination of two or more basic shape is termed as composite shape. As example the shape in the figure is a composite shape of two rectangle.

we need to calculate the area of each shape seperately then the two result is added or subtracted depending on the position of those shape.

In this figure, there are two rectangles, one has 11 in length and 10 in width, the other has 15 in length and 4 in width.

the area of each rectangle is = 11x10 =110 in²

and 15x4 = 60 in²

total area of shape is the sum of two shape= (110+60) in² = 170 in²

hence, the area is 170 square inches.

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Answer:

3,835,181

Step-by-step explanation:

Answer:

The answer would be A,  3,835,181

Step-by-step explanation:    I did the test, do you do schoology?

Answer:

Yes

Step-by-step explanation:

The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?

They are asking if 29 12' elephants are as tall as as a 335' building:

29 × 12' = 348' elephant stack

because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.  

The level of confidence, variability estimates, and sample size can help determine the accuracy (sample error) and estimate the costs of the sample.

Explanation: The level of confidence (e.g., 95%) indicates the probability that the sample accurately represents the population. It determines the range within which the population parameter is estimated. The variability estimates, such as the standard deviation or variance, provide information about the spread of the data. By combining the level of confidence, variability estimates, and sample size, one can estimate the accuracy or sample error, which represents how closely the sample statistics reflect the population parameters.

Determining the costs of the sample involves factors beyond the provided information, such as data collection methods, analysis procedures, and logistical considerations. The representativeness of the sample depends on the sampling method used and how well it captures the characteristics of the target population.

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The first credit card was Diners Membership Card in 1950.  In 1951 the Franklin National Bank issued the first credit card on Long Island, New York.

The key purchases from US credit history are as follows:

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Answer:

\( - x ^{2} - 2x + 5\)

pls mark as brainliest lol

Answer:

a couple different obes

Step-by-step explanation:

there are five

All interior angle degrees must add up to 180 degrees.

the little square means that it is a right angle (90 degrees)

30 + 90 = 120

Y = 60

Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

Answer:

a

Step-by-step explanation:

x+y=7

y=-x+7

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x² + 2     if -5 ≤ x < 3

     = x - 4       if 3 ≤ x < 7

The above function shows that there are two functions and two different domains for each function

Next, we plot the graph of each function in its domain

See attachment for the graph of the function

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A. The equation that can be used to determine the number of weeks is $999=225+42w

B. The number of weeks it will take Hannah to repay is 18weeks

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3 = 0 has only one solution as x = -2.

the total amount of money Hannah repaid is $225+$43×w, where w is the number of weeks to repay $43.

therefore $999= $225+$43w

$43w=$ (999+225)

$43w= $1224

divide both side by $43

w= $1224/$43

w= 18 weeks

therefore it will take Hannah 18weeks to repay the money.

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The value of f(-1, 2, 0, -1) is \(-e^2 - 1.\)

To calculate f(-1, 2, 0, -1), we need to substitute these values in the given expression for f(x, y, z, w) as follows:

\(f(-1, 2, 0, -1) = (-1)(2)^2(0) - (-1)(-1)^2 - e^2(-1)^2 - (2)^2 - (0)^2 + 2\times (-1)^2\)

Simplifying the expression, we get:

\(f(-1, 2, 0, -1) = 0 + 1 - e^2 - 4 + 0 + 2\\f(-1, 2, 0, -1) = -e^2 - 1\)

Therefore, the value of f(-1, 2, 0, -1) is \(-e^2 - 1.\)

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Answer:

63 degree

Step-by-step explanation:

(i) Linear growth model: P(n) = 37 + 11n (ii) Exponential growth model: P(n) = P(n-1) * 2.5 (iii) Logistic growth model: P(n) = P(n-1) + 0.5 * P(n-1) * (1 - P(n-1)/2,000)

(i) The closed formula for the linear growth model can be expressed as P(n) = P0 + n*d, where P(n) represents the population at time n, P0 is the initial population, and d is the constant rate of growth. Given P0 = 37 and P8 = 125, we can find the value of d using the formula:

P8 = P0 + 8d

125 = 37 + 8d

88 = 8*d

d = 11

Therefore, the closed formula for the linear growth model is P(n) = 37 + 11n.

(ii) The recursive formula for the exponential growth model can be expressed as P(n) = P(n-1) * r, where P(n) represents the population at time n and r is the constant rate of growth. Given P1 = 8 and P3 = 50, we can find the value of r using the formula:

P3 = P2 * r

50 = P1 * r^2

50 = 8 * r^2

r^2 = 50/8

r^2 = 6.25

r = √6.25

r = 2.5

Therefore, the recursive formula for the exponential growth model is P(n) = P(n-1) * 2.5.

(iii) The recursive formula for the logistic growth model can be expressed as P(n) = P(n-1) + r * P(n-1) * (1 - P(n-1)/K), where P(n) represents the population at time n, r is the constant rate of growth, and K is the carrying capacity. Given P0 = 20, r = 0.5, and K = 2,000, the recursive formula becomes:

P(n) = P(n-1) + 0.5 * P(n-1) * (1 - P(n-1)/2,000).

This formula takes into account the current population size, its growth rate, and the carrying capacity to calculate the population at the next time step.

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A ratio displays the multiplicity of two numbers, the total number of employees is 187.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared.

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were going to compare one data point (A) to another data point (B). This indicates that you are multiplying data A by data B.

So the ratios are-

men : women

4:7

x:119

Now, relationship between 7and 119 is -

men : women

4:7

7*17

x:119

Now,

men : women

4:7

4*17 :7*17

68:119

Total number

68+119= 187

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On solving the provided question, we can say that the probability of guessing the sequence 2^99 possible combinations.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

As soon as you realize there are more heads than tails, you realize you require at least 50 of them, and you ask 100 people to select 50 locations for them to go.

Considering that you have 250 options for the remaining coins, there are a total of (100 pick 50) + 250 combinations that are feasible.

There are 299 potential options if you simply inquire as to whether the first coin will land on heads.

Asking whether there are more heads than tails is preferable because, according to Wolfram Alpha, 299 is larger than (100 pick 50) + 250.

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9514 1404 393

Answer:

  7) compare what Jason needed to do with what he did

  8) Jason used an incorrect formula to estimate his need

  9) an overestimate ensures Jason can finish the job

Step-by-step explanation:

7) A critique is a comparison of what you have with what you expect. We can critique Jason's reasoning by comparing what he did with what we expected him to do. (We don't actually know his reasoning; we only know his action.)

__

8) Jason multiplied the dimensions of his room, an action appropriate to finding its area. We expected that Jason would use a formula for the perimeter of the room. We conclude that Jason chose the wrong formula for computing the length of border needed. We also note that Jason did not make any use of dimensional analysis. Had he done so, he would have known that his result was in square feet, not linear feet, so was not applicable to the question of whether he had enough border.

__

9) If Jason's goal is to finish his wallpaper job without making another trip to the store, he would want to make sure that he does not run short of wallpaper before the task is done. To ensure that he has enough, it makes sense that he would make an estimate that would give him more than enough.

The measure of the mid - segment is 53 .

Given :

the measures of the bases of a trapezoid are 35 and 71.

What is trapezoid ?

A trapezoid is a four-sided shape which has one pair of sides as parallel. It is basically a two-dimensional shape or figure similar to a square etc .

Mid segment :

A mid segment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid.

A trapezoid mid segment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.

Measure of mid segment = sum of two bases / 2

= 35 + 71 / 2

= 106 / 2

= 53

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Answer:

the slope of these points is 8/3