For which combination of population and sample size listed below will you find the sampling distribution of the sample mean approximately normally distributed?
a) Population is Right Skewed and n = 10 b) Population is Right Skewed and n = 40 c) Population is Bell Shaped and n = 10 d) B and C only e) A, B and C

Answer:

90mm = 9 cm

Step-by-step explanation:

Every centimeter is equivalent to 10 millimeters.

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

I got it wrong so oof

The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.

Part A:

The x-intercepts represent a zero profit.

The maximum value of the graph represents the maximum profit.

The function increases up till the vertex and decreases after it.

This means that the profit increases as it reaches the peak at the vertex.

It decreases after the vertex up till it reaches zero.

On the left of the first zero and on the right of the second zero, the profits are negative.

Part B:

An approximate average rate of change of the graph from x=3  to x=5 represents the reduction in profit from 3 to 5.

Part C:

Simply, the domain is constrained by x=0.

We are obliged at x=6 .

This is because we have to avoid a negative profit.

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The correct answer is C. Q, R (rational, real numbers)

Explanation:

The number \(\frac{25}{11}\) is a fraction, which means it represents proportions of a whole. This number can be classified as rational, which is represented by the letter Q because this category of numbers includes those numbers that can be represented as a fraction and the number provided is naturally a fraction. Moreover, this number is also a real number, which is a broad category of numbers represented by the letter R that includes rational numbers such as fractions. This means this number is rational and because of this, it is also real.

On the other hand, this number is not natural because this includes regular numbers such as 3, 43, or 3947 but not fractions, and it is not a whole number because a fraction does not represent a whole number but just a proportion.

Answer:

You have no examples of models

Step-by-step explanation:

Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Step-by-step explanation:

distance of (1,0) from the origin is,

√{(1-0)²+(0-0)²}

= √1

= 1

So the radius of the circle is 1,

now for the point (2/5,y) distance from origin should be the same since it's the radius

so,

√{(2/5-0)²+(y-0)²} = 1

or, √(4/25+y²)=1

or, 4/25+y²=1

or, y² = 1-4/25

or, y²=21/25

or, y=√(21/25)

or, y=√21/5

so, the simplest form of y is,

\( \frac{ \sqrt{21} }{5} \)

An equation of the line that passes through the point (5, 1), and has a slope of 1/2 is y = 0.5x - 1.5 or y = x/2 - 3/2.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (5, 1), a linear equation of this line can be calculated in slope-intercept form as follows:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 5)

y = 0.5x - 2.5 + 1

y = 0.5x - 1.5 or y = x/2 - 3/2

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It will take Lush Gardens Co. 3 years and 3 months to settle the loan if it makes payments of $1,600 at the end of every month.

First, we need to find the amount of the loan.

Amount of loan = Total cost of the truck - Down payment

Amount of loan = $54,000 - $5,940 = $48,060

Next, we need to find the monthly interest rate. Since the interest is compounded semi-annually, we first need to find the semi-annual interest rate:

Semi-annual interest rate = 4.46% / 2 = 2.23%

Then, we can find the monthly interest rate using the formula:

Plugging in the numbers:

Monthly interest rate = (1 + 0.0223)^(1/12) - 1 = 0.001845

Now we can use the formula for the loan payment:

Loan payment = Monthly interest rate * Loan amount / (1 - (1 + Monthly interest rate)^(-n))

Where n is the number of months.

Plugging in the numbers:

$1,600 = 0.001845 * $48,060 / (1 - (1 + 0.001845)^(-n))

Solving for n using a financial calculator :

n = 38.98 months

Rounding up to the next payment period (which is 39 months), we get:

n = 3 years, 3 months

Therefore, it will take Lush Gardens Co. 3 years and 3 months to settle the loan if it makes payments of $1,600 at the end of every month.

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Answer:

Since the pvalue of the test is 0 < 0.01, we reject the null hypothesis and accept the alternate hypothesis that the true mean score for all sober subjects is different of 35.

Step-by-step explanation:

Test the claim that the true mean score for all sober subjects is equal to 35.0.

This means that the null hypothesis is:

\(H_{0}: \mu = 35\)

And the alternate hypothesis is:

\(H_{a}: \mu \neq 35\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

35 is tested at the null hypothesis:

This means that \(\mu = 35\)

Sample of 20, mean score of 41.0 with a standard deviation of 3.7.

This means that \(n = 20, X = 41, \sigma = 3.7\)

Value of test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{41 - 35}{\frac{3.7}{\sqrt{20}}}\)

\(z = 7.25\)

Pvalue of the test:

The pvalue of the test is the probability that differs from the mean by at least 41 - 35 = 6, which is the probability that |z| < 7.25.

z = -7.25 has a pvalue of 0

2*0 = 0

Since the pvalue of the test is 0 < 0.01, we reject the null hypothesis and accept the alternate hypothesis that the true mean score for all sober subjects is different of 35.

Clinical Chemistry Principles, Techniques, and Correlations 7th ed. Bishop is False.

A typical analytical technique (the method used to determine a chemical or physical property of a chemical substance, chemical element, or mixture.) for dissolving a chemical combination into its constituent parts so that each part may be carefully examined is called "chromatography."

The liquid or gaseous medium that moves the items to be separated over the stationary phase of a chromatography device at varying speeds is called as mobile phase.

In chromatography, the stationary phase can be either a solid or a liquid matrix. The mobile phase, which moves through the stationary phase, typically occurs in a liquid or a gas.

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Explanation:

The way you have marked the diagram, it is convenient to use the AAS congruence postulate.

Statement . . . . Reason

1. AB║DE, DC=CB . . . . given

2. ∠1≅∠2 . . . . vertical angles are congruent

3. ∠CAB≅∠CED . . . . alternate interior angles theorem

4. ΔACB ≅ ΔECD . . . . AAS congruence postulate

5. AC≅CE, AB≅DE . . . . CPCTC

Answer:

Your answer will be 1,000

Step-by-step explanation:

One thousand

Hope this helps : )

Answer:

1000

Step-by-step explanation:

Add 100 10 times and you will get 1000

Answer:

-3/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-1-4)

m=3/(-5)

m=-3/5

The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

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The graph in which point are plotted is given below and Point D and F lie on Y axis and X axis respectively other lie on the different quadrant

What does a math quadrant mean?

The term "quadrant" refers to each of the four divisions of the coordinate plane. Furthermore, when we speak of the sections, we also mean the sections as the coordinate axes split them. This is where the x-axis is, and this is where the y-axis is on the up-down axis. On a coordinate plane, it divides the space into four parts, as you can see.

Point A (-5,4)

Lies in 2 quadrant of the graph

Point B (-3,-2)

Lies in 3 quadrant of the graph

Point C (4,6)

Lies in 1 quadrant of the graph

Point D (0,-4)

Lies on negative y axis of the graph

Point E (2,-1)

Lies in 4 quadrant of the graph

Point F (1,0)

Lies on positive x axis of the graph

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

option C.

Step-by-step explanation:

X⁵y⁷ is the correct answer.

Answer:

\(x^5y^7\)

Step-by-step explanation:

\((xy^3)(xy)^4\)

Open up the parentheses

\(xy^3x^4y^4\)

Combine x values and y values

\(x^5y^7\)

I hope this helps!

Answer:

Radius: 12

Diameter: 24

Step-by-step explanation:

Diameter is the width of the circle across while radius is the length from the centre of the circle outward.

Answer:

944.2

Step-by-step explanation:

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

Answer: (i) a^3 - b^3 = 1 when a = 0 and b = -1.
               (ii) a^2 + 2ab + b^3 = -3 when a = 0 and b = -1.
               (iii) 3ab + 3ac + c^2 = 1 when a = 0, b = -1, and c = 1.

Step-by-step explanation:

Sure, I'd be happy to help you with these expressions!

i) a^3 - b^3

When a = 0 and b = -1, we have:

a^3 - b^3 = 0^3 - (-1)^3 = 0 - (-1) = 1

Therefore, a^3 - b^3 = 1 when a = 0 and b = -1.

ii) a^2 + 2ab + b^3

When a = 0 and b = -1, we have:

a^2 + 2ab + b^3 = 0^2 + 2(0)(-1) + (-1)^3 = 0 - 2 + (-1) = -3

Therefore, a^2 + 2ab + b^3 = -3 when a = 0 and b = -1.

iii) 3ab + 3ac + c^2

When a = 0, b = -1, and c = 1, we have:

3ab + 3ac + c^2 = 3(0)(-1) + 3(0)(1) + 1^2 = 0 + 0 + 1 = 1

Therefore, 3ab + 3ac + c^2 = 1 when a = 0, b = -1, and c = 1.

I hope that helps! Let me know if you have any questions or if there's anything else I can do for you.

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

As given,

Total members in the committee=14

Number of members serve as chairman and ranking member=2

Total number of ways to assigned new position

=¹⁴P₂

=(14!) / (14-2)!

=(14 × 13 × 12!) / 12!

=14 ×13

=182

Each member is equally likely to serve in any of positions.

Each position there is only one way to reassign position.

Probability of randomly selecting two members = 1 /182

Therefore, probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

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The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer:

The answer should be y=2x-4.

Step-by-step explanation:

The slope of the line (rise/run) is 2/1, or 2, and the y-intercept is -4.