If JM=10 and LM=14, what is KM?

Write your answer as a whole number or as a decimal rounded to the nearest hundredth.
KM =

The three factors that need to be taken into account when determining the sample size are the margin of error, level of confidence, and standard deviation.

To determine the sample size required to estimate the mean with a given level of confidence, we need to consider three factors. The first factor is the margin of error, which is the maximum distance between the sample mean and the true population mean that can be tolerated and is denoted by E.

The second factor is the level of confidence, which is the probability that the true population mean lies within the margin of error of the sample mean. This is denoted by (1-α), where α is the level of significance. Therefore, the level of confidence is 1 - α.

The third factor is the population standard deviation (σ) or the variance (σ²). If the population standard deviation is not given, we can use the sample standard deviation as an estimate. However, if the population size is greater than 30 and the distribution is normal, the sample mean can be used to estimate the population mean. On the other hand, if the population size is less than or equal to 30, the sample mean can be used to estimate the population mean only if the population distribution is normal.

Therefore, it is crucial to consider the distribution of the population when deciding if the sample mean can be used to estimate the population mean.

In summary, the three factors that need to be taken into account when determining the sample size required to estimate the mean with a given level of confidence are the margin of error, level of confidence, and population standard deviation (σ) or the variance (σ²). It is essential to understand each of these factors to accurately determine the required sample size.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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To find the volume of the solid obtained by rotating the region y = x⁴ around the x-axis, we need to use the disk method or the washer method

.Let's consider the following diagram of the region rotated around the x-axis:Region of revolutionThis region can be approximated using small vertical rectangles (dx) with width dx. If we rotate each rectangle about the x-axis, we obtain a thin disk with volume:Volume of each disk = πr²h = πy²dxUsing the washer method, we can calculate the volume of each disk with a hole, by taking the difference between two disks. The volume of a disk with a hole is given by the formula:Volume of disk with a hole = π(R² − r²)hWhere R and r are the radii of the outer and inner circles, respectively.For our given function y = x⁴, the region of revolution lies between the curves y = 0 and y = x⁴.Therefore, the volume of the solid obtained by rotating the region y = x⁴ around the x-axis can be found by integrating from 0 to 1:∫₀¹ πy²dx = ∫₀¹ πx⁸dx = π[(1/9)x⁹]₀¹= π(1/9) = 0.349 cubic units (approx)Therefore, the required volume of the solid obtained by rotating the region y = x⁴ around the x-axis is 0.349 cubic units (approx).

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The required volume of the solid obtained by rotating the region y = x⁴ around the x-axis is 0.349 cubic units (approx).

To find the volume of the solid obtained by rotating the region y = x⁴ around the x-axis, we need to use the disk method or the washer method.

Let's consider the following diagram of the region rotated around the x-axis: Region of revolution.

This region can be approximated using small vertical rectangles (dx) with width dx. If we rotate each rectangle about the x-axis, we obtain a thin disk with volume:

Volume of each disk = πr²h = πy²dx

Using the washer method, we can calculate the volume of each disk with a hole, by taking the difference between two disks.

The volume of a disk with a hole is given by the formula:

Volume of disk with a hole = π(R² − r²)h,

where R and r are the radii of the outer and inner circles, respectively.

For our given function y = x⁴, the region of revolution lies between the curves y = 0 and y = x⁴.

Therefore, the volume of the solid obtained by rotating the region y = x⁴ around the x-axis can be found by integrating from 0 to 1: ∫₀¹ πy²dx = ∫₀¹ πx⁸ dx = π[(1/9) x⁹] ₀¹ = π(1/9) = 0.349 cubic units (appr ox).

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Answer:

x ≤ 17

or the charge in dollars per sweater must be less than or equal to 17.

Explanation:

Step-by-step explanation:

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

6x x 2x=12x^2

3 x -3=-9

12x^2-9

Idk if you need to simplify more but I hope it helps!

Answer:I need help too for that :(

Step-by-step explanation:

Answer:

M is the slope and b is the y-intercept. You replace m with the altitude and b with temperature.

Step-by-step explanation:

If you wanted to use 0 and 59 then your equation would say y=0x+59.

I hope that makes sense! Let me know if that's right.

Answer:

B. The line of best fits shows a negative correlation between the number of months and the number of minutes

Step-by-step explanation:

In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.

Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.

On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.

Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.

This shows that, as month number increases, number of minutes decreases.

The hypotenuse of the right triangle ABC, with legs of 5 and 12 inches is 13 inches, computed using the Pythagoras Theorem. Hence, the 3rd option is the right choice.

The Pythagoras Theorem states that in a right triangle, the square of the hypotenuse is always equal to the sum of the squares of the other two legs.

If the hypotenuse is taken as a, and the two legs are taken as b and c, then by the Pythagoras Theorem, we can write that:

a² = b² + c².

In the question, we are given that the right triangle ABC, has legs of lengths 5 and 12 inches each, and we are asked to find the length of the hypotenuse.

Thus, taking b = 5 and c = 12, in the above equation, we get:

a² = 5² + 12²,

or, a² = 25 + 144,

or, a² = 169,

or, a² = 13²,

or, a = 13.

Thus, the hypotenuse of the right triangle ABC, with legs of 5 and 12 inches is 13 inches, computed using the Pythagoras Theorem. Hence, the 3rd option is the right choice.

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Answer:

The other person is correct. She didn't correctly distribute 3 to -10. The result would have been 3x - 30 instead of 3x + 30. If you multiply a positive number by a negative number, the answer will be negative. :)

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

\((a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.\)

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

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3. 3x = 12

An open statement in math means that it utilizes variables, and can only be concluded as being "true" or "false". The problem would result in asking whether or not it is always true or not. In this case, x will be true when you plug in 4, however, it will not be true when you plug in any other number. Therefore, it is a closed statement that can be falsified.

4. Open.

The statement can be true if the variable g is 35, however, it is false if it is not. An open statement concludes that it may or may not be correct, thereby being open.

~

Answer:

2 and 5

Step-by-step explanation:

A linear pair angles are angles on a straight line, whose sum equals to 180°.

Examining the diagram given, angle 2 and angle 5 are on a straight line. Thus, they are a linear pair. Their sum would equal 180°.

Form the options given, the angles that would form a linear pair are:

Angles 2 and 5.

Answer     You never been with no one as nasty as me

Spice up your life, come get a freak (do do do do do do do)

Freak like me

Step-by-step explanation:

Im not a fan of Doja Cat, but is it that weird cow one? Sorry if Im wrong! ^^

Answer:

is it 60

Step-by-step explanation:

Answer:

I think the answer is 5t=60 or the second graph

According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

To estimate the percentage of people affected by the outbreak, we can use the following formula:

\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)

Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:

\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)

Calculating this expression, we find:

\(\[\text{Percentage} \approx 0.086 \%\]\)

Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

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The equation when solved for x gives x = √3 - 5y

It is important to note that the subject of formula in an equation is the variable that is being worked out.

This variable is made to stand alone on one end of the equality sign.

From the information given, we have the equation;

y = 3√(x²+3)÷15

cross multiply the values

15y = 3√(x²+3)

Divide both sides by the coefficient of √(x²+3)

15y/3 = √(x²+3)

Divide the values

5y = √(x²+3)

Find the square of both sides

25y² = x² + 3

collect terms

x² = 3 - 25y²

Find the square root

x = √3 - 5y

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Answer:

30 =z

Step-by-step explanation:

-15 = z/-2

Multiply each side by -2 to isolate z

-2 * -15 = z/ -2 * -2

30 =z

Answer:

no

you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10

so it does not satisfy

Hello!

In order to see whether or not a point satisfies an equation, just plug in the values:-

Instead of y, plug in 10:-

10=5x+9

Instead of x, plug in -5:-

10=5(-5)+9

Solve:-

10=-25+9

10=-16

See? We have a false statement.

Hence, this point does not satisfy the inequality.

I hope it helps you.

If you have any queries regarding my answer, please comment :)

\(\bf{CupcakeRealm8701~:)}\)

Answer:

I think it is 5/6

Step-by-step explanation:

She should do 5/6 of the way because 1/3x1/2=5/6

Answer:

16.5% full

Step-by-step explanation:

1/2 in decimal is 0.5

1/3 in decimal is 0.33

0.5x0.33=0.165

0.165 as a percentage is 16.5%

Answer:

-32

Step-by-step explanation:

Pal, it's M A T H

Answer:

-32

Step-by-step explanation:

x-2x-20=12

-x=32

x=-32

.....................

The required probability is 0.132 .

What is normal approximation?

The sampling distribution of averages or proportions from a large number of independent trials approximately and the expectation of a sample proportion or average is the corresponding population value.

On solving using mean sampling method, we get

P(E) = 0.132

Hence, the required probability is 0.132 .

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Answer:

Yes

Step-by-step explanation:

The quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

It should be noted that logarithm, is the exponent or power to which a base must be raised to get a given number.

We can apply the quotient rule to find the differentiation of a function.

In this case, the quotient rule for logarithms states that the log of the logarithm of a quotient is the difference of the logarithms.

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From the circle it can be observed that measure of arc PRT is more than 180 degree. So arc PRT is a major arc.

Determine the measure of arc PRT.

Thus measure of arc PRT is 270 degree.

All of the activities listed (bolting and bracing joists, installing metal decking, welding structural steel, and installing ornamental iron) are covered by the OSHA Steel Erections standards.

These standards apply to all employers engaged in steel erection activities and address the hazards associated with such work, including falls, structural collapse, and struck-by hazards.

The standards require employers to implement specific safety measures, such as using guardrails, safety nets, and personal fall arrest systems, to protect workers from falls. The standards also require employers to provide appropriate training and ensure that workers are competent to perform their assigned tasks safely.

Overall, the OSHA Steel Erections standards aim to prevent injuries and fatalities in the steel erection industry and ensure that workers are protected from hazards associated with this type of work.

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Answer:

The slope is -0.5 or -1/2

Step-by-step explanation:

the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

It is worth mentioning that any horizontal line has a gradient of zero because a horizontal line has the same y-coordinates. This will result in a zero in the numerator of the slope formula. On the other hand, a vertical line will have an undefined slope since the x-coordinates will always be the same. This will result the division by zero error when using the formula.

To determine the probability that a randomly selected student from University A has an IQ at least points higher than a randomly selected student from University B,

we need more specific information, such as the distribution of IQ scores at each university and the exact value of the point difference.

Once we have the necessary information, we can calculate the probability based on the given criteria.

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Answer for the conveyer belt moves at 100ft/min from bales of hay to barn loft is given by :

1. Seconds taken by conveyer belt is 60 seconds.

2. Hypotenuse represents the conveyer belt in right triangle.

3. Distance is other information to calculate time.

4. 1 minute = 60 seconds.

Rate at which conveyer belts moves = 100ft/min

⇒1 minute = 100ft

⇒60seconds = 100 ft

1. Seconds taken by bale of hay to move from ground to barn loft is 60 seconds.

2. Conveyer felt represent the hypotenuse of the right triangle.

Feet represents the height , and minutes (time) represents the base.

3. Speed is given to us , to calculate time we should have distance.

4. Relation between minutes and seconds is given by:

1 minute = 60 seconds.

Therefore, for the given conveyer belt moves with 100ft/min answer of the following question are:

1. Seconds taken by moving bale of hay to barn loft is 60 seconds.

2. Conveyer belt represent hypotenuse.

3. To calculate time we need distance apart from speed.

4. One minute is equal to sixty seconds.

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