The average depth of Lake Michigan is 85 meters below the surface. The deepest point in Lake Michigan is 196 meters lower than this. What is the lowest point in Lake Michigan relative to the surface?

Answer:

13.9

Step-by-step explanation:

Use Pythagorean Theorem:

Both of the lengths given are the legs,

13.5^2 + 3.2^2 = c^2

182.25 + 10.24 = c^2

192.49 = c^2

13.87 = c

you add the fractions together

1 5/12+1 3/4+2 1/3 is 4 3/1 which simplifies to 7

multiply 7 by 10.50 and get 73.5

ANSWER= $73.50

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with

\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is

False, a quadratic and a curvilinear term are not the same.

False, a curvilinear term is more broad, but quadratics have specific restrictions.

Answer:

Step-by-step explanation:

The x-coordinate of the new point is 3/2 but we cannot calculate the exact value of the new y-coordinate.

The new coordinate for the transformation of f(x) under the function g(x) = f((1/2)x) - 7, we'll start with the given point (3, 6) and apply the transformation.

First, let's substitute x = 3 into the transformation equation:

g(3) = f((1/2)(3)) - 7

= f(3/2) - 7

Now, to determine the new y-coordinate, we need to know the value of f(x) at x = 3/2.

Without specific information about the function f(x), we cannot calculate the exact value of f(3/2) or the new y-coordinate.

We can still provide a general representation of the new coordinate for any function f(x).

Let's denote the new coordinate as (x', y'):

x' = 3/2

y' = f(3/2) - 7

The value of y' will depend on the function f(x) and its behavior at x = 3/2. If you provide the specific function f(x), we can substitute it into the equation to determine the exact value of y' and provide the coordinates (x', y').

The function f(x), we can determine the new x-coordinate as 3/2, but we cannot calculate the exact value of the new y-coordinate or provide the specific new coordinate (x', y') without additional information.

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The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.

Given,

The length of the small cube, a = 3.5 inch

The length of large cube = 2a = 2 × 3.5 = 7 inches

Now,

We have to find the volume of large cube

Volume;-

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Here,

Volume of cube = a³

Volume = 7³ = 343 cubic inches

That is,

The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.

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Given question is incomplete. The completed question is;

A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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10  5/6  =   65/6

2  1/4    =  9/4

2 (9/4)  =   9/2

So   the  length  left   is

65/6  -  9/2    =

65/6  -  27/6   =

38 / 6    =

19 / 3    =

6 1/3   in

sorry this was a late response

6Hello there. To solve this question, we'll have to remember some properties about parallelograms.

Given the parallelogram RODY, and the measure of the angles as functions of a variable x:

We have to determine the measure of the angle R.

For this, we'll have to remember the following property about parallelograms:

The sides with one and two lines have the same measure, respectively.

Now imagine the following angles:

And that we move this triangle to the other side, that is:

With this, you notice that the angles might be supplementary, or mathematically it is the same as:

We also know that the angle at R might be:

When we moved the triangle, we now have that:

So the measure of the angle at O will be:

In the end, we reached the equation we need to solve:

Plugging the measures in function of x, we get

Add the values

Subtract 20º on both sides of the equation

Divide both sides of the equation by a factor of 16

Now, to find the measure of the angle R, simply plug the value of x:

This is the answer we were looking for.

is:

With this, you notice that the angles might be supplementary, or mathematically it is the same as:

To find the trace of the surface in the plane y = 1, we substitute y = 1 into the equation of the surface:

x^2 - y + z^2 = 1

Substituting y = 1, we have:

x^2 - 1 + z^2 = 1

Simplifying the equation, we get:

x^2 + z^2 = 2

This equation represents a circle in the xz-plane centered at the origin (0, 0) with radius √2.

The equation of a circle is of the form x^2 + y^2 = r^2, where r is the radius of the circle.

Therefore, the trace of the surface in the plane y = 1 is a circle.

The correct answer is: d. A circle.

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Answer:

the answer is 4/5 because 4 divided by 5 is .80. multiply the .80 by 100 to get 80%

Answer:

(look at the picture)

Answer:

a. Green = 0.12

Blue = 0.24

b. 176

Step-by-step explanation:

a. let green be x

blue be 2x

since, total probabilities = 1

then, 1 = 0.2+0.44+x+2x

x = (1-0.2-0.44)/3

x = 0.12

So, green is 0.12

blue is 0.24

b. Since total probabilities= 1

yellow probabilities= 0.44

then, 400*0.44 = 176

So, it's expected to land on yellow 176 times.

The given statement "Sampling risk exists when the auditor doesn't follow proscribed (prohibit) sampling procedures" is false, it reduces risk.

Sampling risk is the possibility that the sample selected by the auditor may not be representative of the population as a whole, leading to incorrect conclusions about the entire population. This risk exists due to factors such as sample size, selection methods, and the inherent variability of the population being sampled.

While following proscribed (prohibit) sampling procedures can help to reduce sampling risk, it is not the only factor that affects the risk. Even if the auditor follows proscribed (prohibit) sampling procedures, there is still a chance that the sample may not be representative of the population.

For example, if the sample size is too small, or if the selection method is biased, then the sample may not be representative of the population, regardless of whether proscribed (prohibit) sampling procedures are followed.

In conclusion, while following proscribed (prohibit) sampling procedures can help to reduce sampling risk, it is not the only factor that affects the risk.

Sampling risk exists due to a variety of factors, and auditors must take care to minimize this risk by using appropriate sampling techniques and sample sizes, as well as ensuring that the sample is selected in an unbiased manner.

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Answer:

16 hours overtime / 40 hours per week = 0.4 or 40%

Answer: summary

- his normal hours are 40 hours per week .

-Over the course of 5 weeks Allan worked an additional 16 hours overtime.

-question b asked us to find "Express Allan's overtime hours as a percentage of his normal hours."

- 16 : 40 = 0.4 ( 40%)

In the attached diagram the perimeter of the hall way is

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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Answer:

\( \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4\)

\( \longrightarrow \boxed{\tt{\: 34}} \: \)

---------- HappY LearninG <3 ------

Answer:

the answer is 34

Step-by-step explanation:

see the image

Answer:

I think it would be C

I'm not completely sure though!

Answer:

=50/3:720÷12=1000÷, 0 x=0 not equal reduce the fraction 60=1000/xmultiply both sides of the equation by the common denominator :60x=1000x/xreduce the fractions:60x=1000divide both sides of the equation by coifficient of variable:x=1000/60cross out the common factor:x=50/3find the intersection:x=50/3get the result:x=50/3ANSWER:X=50/3

Answer:

\(5000kg \: is \: greater.\)

\(as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg\)

\(so \: 6000 \: g \: make \: 6 \: kg.\)

\(and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.\)

Answer:

20 Km per hour.

Answer:

14.1

Step-by-step explanation:

Use tan to help:

The probability of a type II error is β = P(accept H0 | H1 is true) = P(z > -2.07) = 0.9818. Hence, the correct option is (a) 0.9818.

Given, Current mean time = 88 minutes

Standard deviation = 7.9 minutes

New method mean assembly time for a sample of 24 computers = 72 minutes

Hypotheses: The hypotheses are:H0: µ ≥ 88 (the current method is used)H1: µ < 88 (the new method is used)

Sample size is n = 24

The level of significance α is not given, so we assume it as 0.05, i.e., α = 0.05.

Firstly, we need to calculate the critical values of the test.

To calculate the critical values of the test, we need to calculate the standard error of the sample mean: Standard error of the sample mean= σ/√n = 7.9/√24=1.61Then, the test statistic is given by: z = (x - µ) / (σ / √n) where x is the sample mean.

The sample mean is x = 72.z = (72 - 88) / (7.9 / √24) = -4.56

The critical value of z for a left-tailed test with α = 0.05 is -1.645.

Now, to find the probability of a type II error, we need to find the probability of not rejecting the null hypothesis when it is false.

That is, the probability of accepting the current method when the new method is used.

The probability of a type II error is given by: β = P(accept H0 | H1 is true)

We need to find the probability of accepting H0 when µ < 88. This probability depends on the true value of the mean assembly time under the new method.

Let's consider that the new method has a mean assembly time of 80 minutes, i.e., µ = 80.

Then, the probability of not rejecting H0 is the probability of a z-score less than -1.645 - the critical value of z.z = (72 - 80) / (7.9 / √24) = -2.07P(z > -2.07) = 0.9818

Therefore, the probability of a type II error is β = P(accept H0 | H1 is true) = P(z > -2.07) = 0.9818. Hence, the correct option is (a) 0.9818.

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The greatest amount of sap collected from any one tree is two times.

The maximum amount of sap that can be gathered from a single tree is two times greater than the minimum amount. SAP enables businesses to innovate on anything from cancer therapies to flood mitigation. We support life-saving research and are deeply committed to social responsibility and sustainability. At SAP, we collaborate to create innovations.

Work in a stimulating and rewarding environment by joining us. Minerals and nutrients can be found in tree sap. In the spring, when new buds are growing, a sticky substance that travels through the tree and out onto the branches helps the tree produce energy. Sugars are created as a result of photosynthesis and sent back into the tree, where they serve as sustenance for the tree's growth.

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Correct Question:

The greatest amount of sap collected from any one tree is _____________

Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

It will take approximately 12.13 years for the equipment to depreciate by 62% of its original value.

How to solve the problem?

To solve this problem, we need to determine the number of years it will take for the equipment to depreciate by 62% of its original value of $7000.

The annual depreciation rate is 5.6%, which means that each year the equipment will lose 5.6% of its value. So, after one year, the equipment will be worth 100% - 5.6% = 94.4% of its original value.

We can use this information to set up an equation to solve for the number of years it will take for the equipment to depreciate by 62%:

$7000 * (1 - 0.056)ⁿ = $7000 * 0.38

where n is the number of years it will take for the equipment to depreciate by 62%.

Simplifying this equation, we get:

$7000 * 0.944ⁿ = $2660

Dividing both sides by $7000, we get:

0.944ⁿ = 0.38

Taking the natural logarithm of both sides, we get:

n * ln(0.944) = ln(0.38)

Dividing both sides by ln(0.944), we get:

n = ln(0.38) / ln(0.944) ≈ 12.13

Therefore, it will take approximately 12.13 years for the equipment to depreciate by 62% of its original value.

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Answer:

He can eat 4/3 or 1 1/3 of his shawarma

Step-by-step explanation:

Answer: 5659.2

Step-by-step explanation:

multiply separately first

4.9 *1024 =5017.6

6041.6+5017.6=5659.2

The two sides of an inequality are not the same so inequality can never be true.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that the inequality is 2(3x - 1) +4> 6x + 2. The inequality will be solved as below;-

2(3x - 1) +4> 6x + 2

6x - 2 + 4 > 6x + 2

6x + 2 > 6x + 2

The two sides are equal so inequality can never be true.

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