Find the smallest value of p
such that 36p is a perfect cube.​

To determine whether the process is in control or not, we can use a control chart. The control chart is a graphical tool used to monitor the stability of a process over time by plotting the sample statistics such as means or proportions over time and comparing them to control limits.

In this case, we are interested in monitoring the proportion of claims that were mailed within the five-day limit. We will use a p-chart, which is a control chart used to monitor the proportion of nonconforming items in a sample.

The formula for the p-chart is:

p = (number of nonconforming items in the sample) / (sample size)

The control limits for the p-chart are:

Upper control limit (UCL) = p-bar + 3sqrt(p-bar(1-p-bar)/n)

Lower control limit (LCL) = p-bar - 3sqrt(p-bar(1-p-bar)/n)

where p-bar is the overall proportion of nonconforming items, n is the sample size, and sqrt is the square root function.

Let's calculate the p-chart for the given data. The total number of samples is 24 and the sample size is 100.

First, we calculate the proportion of claims that were mailed within the five-day limit for each sample:

p1 = 1 - 12/100 = 0.88

p2 = 1 - 14/100 = 0.86

p3 = 1 - 18/100 = 0.82

p4 = 1 - 10/100 = 0.90

p5 = 1 - 8/100 = 0.92

p6 = 1 - 12/100 = 0.88

p7 = 1 - 13/100 = 0.87

p8 = 1 - 17/100 = 0.83

p9 = 1 - 13/100 = 0.87

p10 = 1 - 12/100 = 0.88

p11 = 1 - 15/100 = 0.85

p12 = 1 - 21/100 = 0.79

p13 = 1 - 19/100 = 0.81

p14 = 1 - 17/100 = 0.83

p15 = 1 - 23/100 = 0.77

p16 = 1 - 24/100 = 0.76

p17 = 1 - 21/100 = 0.79

p18 = 1 - 9/100 = 0.91

p19 = 1 - 20/100 = 0.80

p20 = 1 - 16/100 = 0.84

p21 = 1 - 11/100 = 0.89

p22 = 1 - 8/100 = 0.92

p23 = 1 - 20/100 = 0.80

p24 = 1 - 7/100 = 0.93

Next, we calculate the overall proportion of claims that were mailed within the five-day limit:

p-bar = (p1+p2+...+p24)/24 = 0.8575

Then, we calculate the control limits for the p-chart:

UCL = p-bar + 3sqrt(p-bar(1-p-bar)/n) = 0.8992

LCL = p-bar - 3sqrt(p-bar(1-p-bar)/n) = 0.8158

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5 buses is the answer pls mark me brainliest

Least number of bus require for trip = 5 buses

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Steps to Use Unitary Method

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Total number of classes = 9

Number of student in each class = 25

Number of teacher = 4

Number of chaperones = Double of teacher

Bus hold = 45 people

Now,

Total number of student = 9 × 25

                                         = 225

Number of chaperones = 4 × 2

                                         = 8

Total people = 225 + 8 + 4

                     = 237

Least number of bus require for trip = Total people / Bus hold

= 237 / 45

= 5.266

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Answer:y= x+3 Or B hope it works but think it through before you do anything

Step-by-step explanation:

The number of ways to have exactly one Democrat on a committee of six Congressmen, chosen from a group of five Democrats and seven Republicans, can be calculated using combinatorial methods.

To find the number of ways to have exactly one Democrat on the committee, we need to consider the different possibilities for selecting one Democrat and the remaining five members from the Republicans.

Since there are five Democrats and seven Republicans, we have five choices for selecting the one Democrat for the committee. Once the Democrat is selected, we need to choose the remaining five members from the remaining Republicans. Since there are seven Republicans and we need to choose five, there are (7 choose 5) ways to do this.

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Answer:

y = -2x + 9

Step-by-step explanation:

1) Use the equation y = mx + c (m being gradient and c being y-intercept)

2) Substitute all the values to get 7 = -2(1) + c

3) Solve to get c:

4) Final answer: y = -2x + 9

Answer: the answer should be C

Step-by-step explanation: I just did it

Answer: \(\$100\)

Step-by-step explanation:

Given

T-shirt cost 5 times as much as a singlet

Suppose the price of a singlet \(x\)

Price of a T-shirt is \(5x\)

According to the question, for $800, trader can buy 32 more singlet than T-shirt

\(\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20\)

Thus, the price of a T-shirt is \(5x=\$100\)

The values of x is 82° , z is 98°and y is 69°. in the given triangle.

Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).

we know that the sum of angle of triangle = 180

so,

x+ 60 +38=180

x=180-8

x=82°

and also

x+z = 180

z= 98°

for value of y

13 + 98 +y = 180

y= 69°

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Answer:

the answer is 662 feet

Step-by-step explanation:

becuase one eighth of a mile is 660 feet

The big O notation for the given code fragment with nested loops is O(n log n), indicating that the runtime grows proportionally to the product of the input size and its logarithm.

The big O notation for the given fragment can be determined by analyzing the nested loops.

The outer loop runs for every power of 2 from 1 to n, which is log₂(n) iterations.

The inner loop runs for n iterations regardless of the value of n.

Therefore, the total number of iterations can be calculated as the product of the iterations of the outer and inner loops, which is O(n log n).

In big O notation, the dominant term is the one that grows fastest as the input size (n) increases. In this case, the log n term dominates over the linear term, so the big O notation for the fragment is O(n log n).

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Answer:

58,928.6 rotations

Step-by-step explanation:

2.2 in x (2.54cm/in) x (1m/100cm)= .056 m/circumference

3300m/(.056m/rotation) = 58,928.6 rotations

the edges of a cube increase at a rate of 5 centimeters per second. The surface area is changing at a rate of 150 cm²/sec.

To calculate the rate at which the surface area of a cube is changing when each edge is 10 cm long, we first need to calculate the surface area of the cube. The surface area of a cube can be calculated by multiplying the length of one edge cubed by 6. In this case, the length of one edge is 10 cm, so the surface area of the cube is 600 cm². Since the edges of the cube are increasing at a rate of 5 cm/sec, the rate at which the surface area of the cube is changing is equal to the surface area multiplied by the rate of increase, or 600 cm² * 5 cm/sec = 300 cm²/sec.

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The statistical test in which the mean difference between two groups are compared to a distribution of differences between means is (b) paired-samples t-test.

The t-test, one of the most used statistical tests, is used to ascertain whether the means of two groups are equal. The test's underlying presumption is that samples from normal distributions with similar variances were used for both groups.

The two means are equal, which is the null hypothesis; otherwise, they are not. We can calculate a t-statistic that will follow a t-distribution with n1 + n2 - 2 degrees of freedom under the null hypothesis.

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Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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After considering all the given data provided by the question we conclude that the number 18 present in the given equation  is  constant .

The equation for the sunflower's height is h = 18 + 2.5w.
Here, the number 18 shows the height of the sunflower during the time it was planted, so it is the constant term present in the equation and hence it does not relie on the duration of weeks that have passed.
The coefficient of w is 2.5, which represents the rate at which the sunflower grows in height per week.
Therefore, after one week, the sunflower would be 20.5 inches tall (18 + 2.5 x 1), after two weeks it would be 23 inches tall (18 + 2.5 x 2), after four weeks it would be 28 inches tall (18 + 2.5 x 4), and after six weeks it would be 33 inches tall (18 + 2.5 x 6).

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Step-by-step explanation:

Hey there!

Given;

-6(2x-9) + (7-6x) = 0

Simplify it.

-12x + 54 + 7 - 6x = 0

-18x +61 = 0

Therefore, answer is option B.

Hope it helps!

Answer:

True

Step-by-step explanation:

The wording of the question is a little tricky, but here's what I think.

If a function f(x) is not defined at a point c, then the function has a discontinuity at that point. In order for a function to be continuous on an interval, it must be defined and have no abrupt changes or jumps within that interval. Since f(x) is not defined at c, it violates the condition of continuity, and therefore f(x) cannot be continuous on any interval that includes c.

The given statement "If f(x) is not defined at c, then f(x) cannot be continuous on any interval." is false because it does not automatically mean that f(x) cannot be continuous on any interval.

Continuity of a function depends on the behavior of the function around the point of interest, rather than just the absence of a definition at a single point. A function can still be continuous on an interval except at the specific point where it is not defined.

For example, consider the function f(x) = 1/x. This function is not defined at x = 0, but it is continuous on any interval that does not include x = 0. This is because f(x) approaches positive or negative infinity as x approaches 0 from the left or right side, respectively, indicating that there is no abrupt jump or discontinuity.

In general, the continuity of a function is determined by its behavior around a point, including its limit as x approaches that point. The absence of a definition at a single point does not automatically imply that the function cannot be continuous on any interval.

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The shaded region is more than 3 m from P and closer to Q than to P.

As see in the image:

Point Q is 3 m far form the shaded region.

The shaded region more than 3 m from P and closer to Q than to P.

Therefore, the  shaded region is close to Q.

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Answer:

Step-by-step explanation:

Remember PEMDAS

2 - 8 : (2^4 : 2) =

2 - 8 : (16 : 2) =

2 - 8 : 8 =

2 - 1 =

Answer:

Step-by-step explanation:

85y+20

y= number of friends

to test this equation, lets say she goes with three friends -

85x3= 255

now, our equation is 255+20, which equals 275

hope this makes sense and helps :)

Answer:

A

Step-by-step explanation:

Answer:

This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.

Step-by-step explanation:

Hope this helps!

Answer:

2000 percent.

Step-by-step explanation:

First we find the calculation of the equation, this will be equal to 100 percent.

1/8 * 16 = 2

Next we divide 2 by 100, to find how much is 1 percent.

2 / 100 = 0.02

Finally, we divide 40 by 0.02 to find out the total percent it it made up of.

40 / 0.02 = 2000

The final answer is 2000 percent.

this is just a quick additon to "24mhomme" good posting above

\(\cfrac{1}{8}\cdot 16 \implies \cfrac{16}{8}\implies 2 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} Amount&\%\\ \cline{1-2} 2 & 100\\ 40& x \end{array} \implies \cfrac{2}{40}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 1 }{ 20 } ~~=~~ \cfrac{ 100 }{ x }\implies x=\stackrel{ \% }{2000}\)

Creating resonance in brand positioning involves crafting a narrative that resonates with consumers on a personal and emotional level. The best answer is: O creating resonance

It goes beyond simply listing attributes or benefits of a product or service. Resonance aims to create a deep connection with consumers by highlighting the value and relevance of the brand to their lives.

It seeks to evoke an emotional response and make the brand feel personally meaningful to the target audience. By aligning with consumers' values, needs, and aspirations, creating resonance in brand positioning helps to establish a strong and lasting bond between the brand and its customers.

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Answer: So the answer is 2.83

Step-by-step explanation: This is a terminating decimal number, so if I round up to the nearest trillionth place it will be 2.83. Just only give me a thanks and 5-star rate. :)

The value of y is, \(y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}\)

We have given that,

\(\left(5y+6\right)^2=24\)

We have to determine the value of y,

\(\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

Therefore,we get

\(5y+6=\sqrt{24}\)

\(5y+6=2\sqrt{6}\)

\(\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\)

\(5y+6-6=2\sqrt{6}-6\)

\(5y=2\sqrt{6}-6\)

\(\frac{5y}{5}=\frac{2\sqrt{6}}{5}-\frac{6}{5}\)

\(y=\frac{2\sqrt{6}-6}{5}\)

\(y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}\)

Therefore the value of y is,

\(y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}\)

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