simplify (x^6)^2 • x^3

At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.

we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98  determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.

to know more about the null hypothesis refers to the link https://brainly.com/question/28920252?referrer=searchResults.

#SPJ4

Answer: It is known as scientific method

Step-by-step explanation: The five steps of the scientific method include 1) defining the problem, 2) observing, 3) forming hypotheses, 4) conducting experiments, and 5) drawing conclusions.

The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.

To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.

Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.

To find the maximum profit per day, we can plug in x = 1500 into the profit function:

P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250

Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.

Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.

P'(x) = -0.002x + 3

Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.

-0.002x + 3 = 0

x = 1500 cans

Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.

P(1500) = -0.001(1500)^2 + 3(1500) - 1800

P(1500) = $600

So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.

Learn more about profit at: brainly.com/question/15699405

#SPJ11

The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

The profit function for the soft drink vendor is given by:

P(x) = \(0.001x^2 + 3x + 1800\)

To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 0.001 and b = 3. Substituting these values, we get:

x = -3 / (2 * 0.001) = -1500

Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:

P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)

Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

Learn more about maximum profit

https://brainly.com/question/29248429

#SPJ4

The given statement "The random sample of 500 park users indicated that the average number of visits per month was 4.56. This is a statistic by the city council" is true because it is a numerical measure.

In statistics, a statistic is a numerical measure that summarizes a sample of data. It is used to estimate or infer the characteristics of the population from which the sample was drawn. The value of a statistic is calculated from the sample data and is subject to random variability due to sampling error.

In this case, the Parks and Recreation manager for the city of Detroit has reported that a random sample of 500 park users indicated an average of 4.56 visits per month. This value is calculated from the sample data and represents a statistic, as it is based on a sample and is subject to sampling variability.

The city council should view this value as a statistic and not as a parameter, which is a numerical measure that describes a characteristic of a population.

While the sample statistic can be used to make inferences about the population parameter, it is important to recognize that the sample statistic is subject to random variability and may not perfectly represent the population parameter.

Therefore, the statement that the value of 4.56 visits per month should be viewed as a statistic by the city council is true.

To learn more about statistic click on,

https://brainly.com/question/31311720

#SPJ4

Answer:

bro said b so b

Step-by-step explanation:

According to the dataset, the mean of Dave’s nightly tips is $144.68

The mean of a dataset is the average value of the dataset

Below is how to calculate the mean of Dave’s nightly tips

Mean is calculated using:

Mean = sum of observations/Number of observations

The sum of observations is:

Sum = 100.85 + 166.57 + 135.74 + 148.12 + 113.94 + 190.13 + 235.31 + 102.57 + 124.02 + 142.40 + 108.60 + 110.50 + 163.82 + 183.01

Evaluate

Sum = 2025.58

The number of observations is 14.

So, the mean is:

Mean = 2025.58/14

Divide

Mean = 144.68

Hence, the mean of Dave’s nightly tips is $144.68

Read more about mean at:

https://brainly.com/question/14532771

well, Moussa last week had 92 + 5 + 25 = 122 customers total, so from all those 92 paid with cash.

so if we use 122(origin amount) as our 100%, what's 92 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 122 & 100\\ 92& x \end{array} \implies \cfrac{122}{92}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 61 }{ 46 } ~~=~~ \cfrac{ 100 }{ x }\implies 61x=4600\implies x=\cfrac{4600}{61}\implies x\approx 75.41\)

so next week he's expecting 1600, and about 75.41% of those will pay with cash hmmm

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{75.41\% of 1600}}{\left( \cfrac{75.41}{100} \right)1600} ~~ \approx ~~ \text{\LARGE 1207}\)

The population of the town in the year 2001 according to the equation; ý = 135.23x - 245 is; 270,350.

since the given equation is;

ý = 135.23x - 245

Therefore, in year 2001; the population, y is;

y = 135.23 (2001) - 245

y = 270,595.23 - 245

y = 270,350.23

y = 270,350 (nearest whole number).

Ultimately, the population of the town in 2001 is; 270,350.

Read more on equation evaluation;

https://brainly.com/question/28999690

#SPJ1

Answer:

7 and 45

Step-by-step explanation:

First one is 7

Second one is 45

Rule is y = 5x

Answer:

the x (input ) is by 8

Step-by-step explanation:

rule by 5

Mathematics is a fundamental subject in education that is essential in the development of an individual’s critical thinking and problem-solving skills. It is one of the primary subjects that are taught in elementary schools and must be taught appropriately for children to understand and gain the required skills. One true statement about mathematics teaching in elementary schools is that it should be student-centered.

Teachers should focus on the child's understanding, individual learning abilities and styles, and progress.The learning experience should not be centered on the teacher but on the students. Teachers should also make the subject engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject. Besides, teachers should develop a personalized learning approach that allows students to learn and understand the subject at their own pace while creating opportunities for individual and group learning. Through such learning approaches, students can develop the required mathematical concepts and competencies such as critical thinking, problem-solving, and decision-making skills that will be beneficial in their future endeavors.

In elementary schools, mathematics teaching should be student-centered. It should be engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject.

To know more about Mathematics visit:-

https://brainly.com/question/27235369

#SPJ11

The amount of X and Y that can give Adam the most utility is (αI/ Px) units of good X and (βI/ Py) units of good Y.

The Cobb-Douglas utility function represents a consumer's preferences towards two goods, X and Y. The function for Adam's preferences is given by:

U(x,y)=x α * y β, where α + β = 1. Given the price of good X is Px, the price of good Y is Py, and Adam's disposable income is I.

The total expenditure (E) for two goods will be:

E= PxX + PyY, Where X is the quantity of good X and Y is the quantity of good Y.

Adam's income constraint can be represented as:

I = PxX + PyY

We can rewrite the above expression as:

X = (I/ Px) - ((Py/Px)Y)

Thus, Adam's utility function can be written as:

U = X α * Y β

Substituting X with the expression we derived above, we get:

U = [(I/ Px) - ((Py/Px)Y)] α * Y β

To get the optimal consumption bundle, we need to maximize the utility function, which is given by:

MUx/ Px = α(Y/X)β

Muy/ Py = β(X/Y)α

Multiplying the two equations, we get:

MUx * Muy = αβ

Now, substituting the value of α + β = 1 in the above equation, we get:

MUx * Muy = α(1 - α)

Similarly, dividing the two equations, we get:

MUx / Muy = α/β

Now, we have two equations and two unknowns. We can solve them to get the values of X and Y, which maximize Adam's utility.

After solving, we get:

X = (αI / Px)

Y = (βI / Py)

Thus, the amount of X and Y that can give Adam the most utility is (αI/ Px) units of good X and (βI/ Py) units of good Y.

To know more about the Cobb-Douglas utility function, visit:

brainly.com/question/30777627

#SPJ11

The expression that is equivalent to 3(x − 4) + 4(y + 2) is 3x + 4y

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

3(x − 4) + 4(y + 2)

Open the brackeys

So, we have

3x - 12 + 4y + 12

Evaluate

3x + 4y

Hence the expression is 3x + 4y

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

To know more about Energy, visit

https://brainly.com/question/32314479

#SPJ11

Considering their concepts, on the graph of a function, the domain and the range are given as follows:

In a graph, the horizontal axis represents the input and the vertical axis represents the output, hence the domain and the range are given as follows:

More can be learned about the domain and the range of a function at https://brainly.com/question/10197594

#SPJ1

Answer:

47.5

Step-by-step explanation:

19÷2=9.5x5=47.5

Answer:

b.

Step-by-step explanation:

po answer thanks nalang sa point

Answer:

7,9,11

Step-by-step explanation:

Let first number is x, second number is (x+2) and third number is (x+4).

ATQ,

The product of the smaller two integers is 3 less than 6 times the largest integer.

x(x+2) = 6(x+4)-3

x² + 2x = 6x+24-3

x² + 2x = 6x+21

x² + 2x -6x -21=0

x²-4x -21=0

It is a quadratic equation whose solution is :

x = -3 and x = 7

First number = 7

Second number = 9

Third number = 11

Hence, this is the required ssolution.

It is true that the variance is the simplest measure of dispersion and is computed as the difference between the maximum value and the minimum value in the data set.

Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.

To know more about variance,

https://brainly.com/question/13673183

#SPJ4

Answer:

80 degrees

Step-by-step explanation:

What we see in this drawing is a triangle formed by three lines. In order to solve this problem, we need to know that when two lines intersect, the two angles formed are supplementary (meaning they add up to 180 degrees). For example, the 150-degree angle, and the angle right next to it (the angle on the left side of the triangle) add up to 180 degrees. This means that the left-most angle of the triangle is 180-150, which is 30 degrees

We can figure out the topmost angle of the triangle using the same method. We know that the angle outside the triangle is 130 degrees, so the angle right next to it (in this case, right below it), is 180-130, or 50 degrees.

Next, we use the fact that triangles are 180 degrees on the inside to figure out the third angle (the one on the right, right next to angle 1). We know that the other two angles are 30 and 50 degrees, and if you add that up, you get 80 degrees. The last angle, then, is 180-80, or 100 degrees.

Lastly, we know that the rightmost angle of the triangle and angle 1 add up to 180 degrees. In other words, 100+Angle1=180. Therefore, Angle 1 is 180-100 or 80 degrees.

Answer:

Value of a in term of x = 8/x

Step-by-step explanation:

Given:

14 = ax + 6

Find:

Value of a in term of x

Computation:

⇒ 14 = ax + 6

Step 1; Subtract 6 from both side

⇒ 14 - 6 = ax + 6 - 6

We get step 2

⇒ 8 = ax

Divide x from both side and we get step 3

⇒ 8 / x = ax / x

Step 4

⇒ 8/x = a

Step 5

⇒ a = 8/x

Value of a in term of x = 8/x

Answer:

3/2 or -4/3

Step-by-step explanation:

2x-3=0, 3x+4=0

x=3/2 or-4/3

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

81-1 nine

90-81

9

Step-by-step explanation:

Answer:

\(9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you\)

Rob has (1/2) * x - $25.75 of his earnings left from this week. This is obtained by subtracting the amount spent on bills and the cost of the video game from his total earnings.

To find out how much of his earnings Rob has left, we need to calculate the portion he spent and subtract it from his total earnings.

Given that Rob spends 1/2 of his earnings on bills, he has 1 - 1/2 = 1/2 of his earnings remaining.

If Rob buys a video game for $25.75, we can subtract this amount from his remaining earnings.

Let's say Rob's total earnings for the week were x dollars.

Amount spent on bills: (1/2) * x

Amount spent on the video game: $25.75

Remaining earnings: x - [(1/2) * x + $25.75]

Simplifying the expression, we have:

Remaining earnings: x - (1/2) * x - $25.75

Remaining earnings: (1/2) * x - $25.75

So, Rob has (1/2) * x - $25.75 of his earnings left from this week.

learn more about earnings here:

https://brainly.com/question/17018651

#SPJ11

Answer:

No, 64 doesn't fit

Step-by-step explanation:

64 is an outlier

since it lies too far from the other numbers

A triangle has sides of 7, 24, and 25 cm. The length of the hypotenuse is equal to 25 cm if the triangle is a right triangle.

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious.

49, 576, and 625 are the results of squaring the lengths of the side of the.

49 + 576 = 625\s(7)2 + (24)2 = (25)2

As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

the hypotenuse is 25 cm long.

Angles of 16.26 degrees and 73.74 degrees are suitable.

Yes, since 72+242=252 (sum of squares on smaller two sides equals square on largest side).

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious. 49, 576, and 625 are the results of squaring the lengths of the side of the. As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

To learn more about length refer to:

https://brainly.com/question/30208217

#SPJ1

Answer:

The answer to your question will be

Step-by-step explanation:

If you would like the steps, I will provide them as requested.

Answer:

6 3/14 pancake order s

Step-by-step explanation:

The question above is calculated as:

2/3 cup of syrup = 1 pancake order

3 8/7 cups of syrup = x

Cross Multiply

2/3 × x = 3 8/7 × 1

x = 3 8/7 ÷ 2/3

x = 29/7 ÷ 2/3

x = 29/7 × 3/2

x = 87/14

x = 6 3/14 order

The maximum number of complete pancake orders that Anton can serve with the syrup he has is 6 3/14 pancake orders

Answer:

2

Step-by-step explanation:

Basically you plug in -6 where all the x's are.

(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)

36 + 7(-6) + 8, Multiply 7 by -6

36 - 42 + 8, Add 36 + 8

44 - 42, Subtract

2