What is the value of √64 × ∛27?

A) True. Therefore, there should be no systematic bias when probability sampling is done correctly.

When conducting a research study, it is important to ensure that the sample chosen is representative of the population. Probability sampling is a method that aims to achieve this by giving each member of the population an equal chance of being included in the sample.

When this sampling method is done correctly, it minimizes bias and ensures that the sample is truly representative. For example, let's consider a study on the average height of students in a particular school.

If we were to use probability sampling, we would assign a number to each student and then randomly select a certain number of students from that pool. This would give every student an equal chance of being chosen for the sample, eliminating any systematic bias that might arise if we were to select students based on subjective criteria.

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Answer:

x=1, y=1

Step-by-step explanation:

Sub y=2x-1 into 3x+8y=11

3x+8(2x-1)=11

3x+16x-8=11

19x=11+8

19x=19

x=1

Sub x=1 into y=2x-1

y=2(1)-1

y=2-1

y=1

Answer:

\(\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }\)

Step-by-step explanation:

\(\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}\)

The solution to the exponential equation in this problem is given as follows:

x = (log(3) - log(2))/(12log(1.5)) + 0.25.

The exponential equation in this problem is given by the image shown at the end of the answer, as follows:

\(2\left(\frac{243}{32}\right)^{2x} = 3\left(\frac{8}{27}\right)^{\frac{2}{3}x - 1}\)

The values can be simplified by their prime factors are follows:

Hence:

Then the equation, applying the multiplication of the powers, is given as follows:

\(2\left(\frac{3}{2}\right)^{10x} = 3\left(\frac{3}{2}\right)^{-2x + 3}\)

Applying logarithm properties, the solution is:

log(2) + 10xlog(1.5) = log(3) + (3 - 2x)log(1.5)

(12x - 3)log(1.5) = log(3) - log(2)

12x - 3 = (log(3) - log(2))/log(1.5)

x - 0.25 = (log(3) - log(2))/(12log(1.5))

x = (log(3) - log(2))/(12log(1.5)) + 0.25.

The function is given by the image shown at the end of the answer.

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Answer:

it depends on where the light source is

Here's some required measures !

Let's calculate its surface area ~

Answer:

-4/7

Step-by-step explanation:

Answer: 2(x-2)=6

Step-by-step explanation: when they say twice, so you make is times 2, then it said the difference of a number which would be a variable, or x, and 2, is 6, so one part is =6, next is the variable -2, so you can use x-2, then in order to multiply everything, you need to make parenthesis. So, it would be x-2=6, but you forgot the parathesis, so 2(x-2)=6

Answer:

49th term = 225

Step-by-step explanation:

The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.

An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.

The general formula, for the nth term of an arithmetic progression, is thus:

Tn = a + (n - 1)d, where a = first term, and d = common difference.

In the sequence: -15, -10, -5, 0, 5...,

a = -15, and d = -10--15 = 5

T49 = -15 + (49 - 1)5 = 225

∴ 49th term = 225

A random sample taken with replacement from the original sample, and having the same size as the original sample, is known as a "bootstrap sample" or "bootstrap replication."

Bootstrapping is a resampling technique used to estimate the sampling distribution of a statistic. When we have a limited sample size and want to draw inferences about the population, we can use bootstrapping to create multiple resamples by randomly selecting observations from the original sample with replacement.

Here's how it works:

The key idea behind bootstrapping is that the original sample serves as a proxy for the population, and by repeatedly resampling from it, we can approximate the sampling distribution of the statistic of interest. This approach is especially useful when the underlying population distribution is unknown or non-normal.

By using a bootstrap sample that is the same size as the original sample, we maintain the same sample size and capture the variability present in the original data.

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Answer:

b and d

Step-by-step explanation:

Answer:

3,500,000

Step-by-step explanation:

Answer:

Sue biked 3,500,000 centimetres.

Step-by-step explanation:

First, multiply 5 km by 7 (days). 5 × 7 = 35 km

Convert the kilometres to centimetres.

There are 100,000 cm in a kilometer, so multiply:

35 × 100,000 = 3,500,000 cm.

Answer:

30+75x

Step-by-step explanation:

Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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Answer:

Graph A ,appears to decrease less

Step-by-step explanation:

In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.

Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let graph A shows the product quality with number of faulty products over the period of months

And , let graph B shows the product quality with number of faulty products over the period of months

Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate

Hence , graph A is best for presentation

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Answer:

Han OS New Visa OS de OS OS

Answer:

I believe it would be 15 copies.

Step-by-step explanation:

Store W gives you unlimited copies for 5 dollars, so the number of copies doesn't matter for store W, they do not affect the cost. So, you will have to find how many copies from store Z will cost 5 dollars. Now, it tells you store Z charges 2 dollars for the use of the machine, so you can go ahead and subtract 2 from 5 (total amount to make it equal). That being done leaves you with 3 dollars for the copies themselves, it tells you each copy costs $.20. So, now all you have to do is divide 3 by 0.20, which gives you 15.

Answer: take a protractor to the unkown sides to find the angle degrees and to check add them up and see if it is 360 degrees

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The percent of total monthly net income for the monthly living expenses and fixed expenses is 60%, the monthly share of annual expenses is $3,000 and the total your three percents is 120%.

A challenge problem is a task or question that requires a significant amount of thought, analysis, and problem-solving skills to solve. It often involves complex scenarios, calculations, or decision-making processes, and may require the use of multiple skills or disciplines to arrive at a solution.

To calculate the percentage of the Penders' total monthly net income that goes towards monthly living expenses and fixed expenses, we need to know the actual amounts of their monthly living and fixed expenses, as well as their total monthly net income. Let's assume that the Penders have a total monthly net income of $5,000, and their monthly living expenses and fixed expenses add up to $3,000.

The percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses can be calculated as follows:

$3,000 (monthly living expenses and fixed expenses) ÷ $5,000 (total monthly net income) x 100% = 60%

Therefore, 60% of the Penders' total monthly net income goes towards monthly living expenses and fixed expenses.

To calculate the monthly share of annual expenses, we need to know the total amount of their annual expenses. Let's assume that their annual expenses add up to $36,000. The monthly share of their annual expenses can be calculated as follows:

$36,000 (annual expenses) ÷ 12 (number of months in a year) = $3,000 (monthly share of annual expenses)

To total the three percents, we add the percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses (60%) to the percentage of their monthly share of annual expenses (which is also 60%, since $3,000 is 60% of $5,000). This gives us a total of 120%.

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0.6% of the people had a mild allergic​ reaction

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A company that makes​ hair-care products had 8000 people try a new shampoo.

In the 8000 people, 48 had a mild allergic reaction.

We need to find the percent of the people had a mild allergic​ reaction

We have to find what is 48 percent in 8000.

x×8000=48

Divide both sides by 8000

x=48/8000

x=0.006

Now we need to multiply by 100 as it is a hundredth part.

0.006×100

0.6

Hence, 0.6% of the people had a mild allergic​ reaction

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It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

The 99% confidence interval estimating the proportion of all Ford Fusion drivers who are women is (0.40685, 0.67007). The closest option to this interval is option 2) (0.40385, 0.67307).

The answer is option 1) (0.41689, 0.66003). To design a new advertising campaign, Ford Motor Company conducted a sample survey of 91 Fusion owners and found that 49 of them were women. To estimate the proportion of all drivers who are women, a confidence interval is calculated. The formula for calculating the confidence interval is:

sample proportion ± z*(standard error)

where z is the critical value for the desired confidence level and the standard error is calculated as:

sqrt((sample proportion*(1 - sample proportion))/sample size)

For a 99% confidence interval, the critical value is 2.576. Plugging in the values from the sample, we get:

sample proportion = 49/91 = 0.5385
sample size = 91

Using the formula above, we can calculate the standard error as:

sqrt((0.5385*(1 - 0.5385))/91) = 0.0625

Finally, we can plug in the values into the confidence interval formula:

0.5385 ± 2.576*0.0625

which gives us the interval (0.41689, 0.66003). Therefore, option 1) is the correct answer.

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Considering the triangle with exterior angles and interior angles as described. The statements that are true include

The problem is solved considering this 3 theorems about triangles

exterior angles theorem: m∠2 + m∠3 = m∠6

If a triangle side is created, the outside angle that results is equal to the sum of the two opposite internal angles.

Linear pair theorem: m∠5 + m∠6 =180°

Linear pairs are particular instances of supplementary angles that only involve two neighboring angles.

Sum of angles in a triangle is equal to 180 degrees:

m∠2 + m∠3 + m∠5 = 180°

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