a trough is 12 feet long and 3 feet across the top (see figure). its ends are isosceles triangles with altitudes of 3 feet. if water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising (in feet per minute) when \displaystyle hh is 1 foot deep?

Answers

Answer 1

If water is being pumped into the trough at 2 cubic feet per minute, then the water level rising (in feet per minute) when h is 1.6 foot deep is 0.1 feet cubic per minute.

Suppose that we have a function y = f(x), and wish to find the rate of change of y with respect to a third variable t, where we do not have y expressed explicitly in terms of t. We use the chain rule in differentiation to find this rate of change in a process called implicit differentiation.

                     dy/dt = dy/dx × dx/dt

If base is equal to the height, by similar triangles:

Volume v = base x height x length/2

                = bhl/2

                = h²12/2

                = 6h².

Therefore,  

dv/dt = 12hdh/dt

         = 2 ft³/min

 Now,

dh/dt = 2/(12h)

when h = 1.6,

dh/dt = 2/(12 × 1.6) ≈ 0.1 ft³/min

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Related Questions

The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations? (a) n 15 t 1.66 a 0.05 o Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in o Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Answers

The null hypothesis must be rejected as there is enough evidence that the diameter differs from 0.5 inches.

Given values are

The population mean is  0.5 inches

The Null hypothesis is  : H₀ : μ = 0.5 inches

The Alternative hypothesis is  given by Hₐ : μ ≠ 0.5 inches

Now let us consider the parameter given:

sample size is  n =  15  

test statistics is  t =  1.66

The level of significance : α = 0.05

The degree of freedom: df = n-1 = 15 -1 =14

Calculating the critical value : [tex]t_\frac{\alpha}{2} ,df[/tex] = 2.145

We are using the critical value of [tex]t_\frac{\alpha}{2}[/tex] as the test is one-tailed .

Comparing the value of  t and [tex]t_\frac{\alpha}{2}[/tex] we can see that : [tex]t < t_\frac{\alpha}{2}[/tex]

Hence the null hypothesis can be rejected.

Given that the value of t does not fall within the range covered by (i.e., the range from -2.145 to the bottom of the normal distribution curve), we are unable to reject the null hypothesis.

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please helpppp!!! !!

Answers

Hope this helps you

use green's theorem to evaluate the line integral along the given positively oriented curve. c cos(y) dx x2 sin(y) dy c is the rectangle with vertices (0, 0), (3, 0), (3, 1), (0, 1)

Answers

30(1-cos2) is the evaluated line integral along the given positively oriented curve.

What is Green's Theorem?

Green's theorem is mostly utilized to evaluate the line integral of a single direction and a curved plane. The link between a line integral and a surface integral is demonstrated by this theorem. It is connected to several theorems, including the Gauss theorem and the Stokes theorem.

To integrate the derivatives in a certain plane, one uses Green's theorem. This thesis can be employed to transform a given line integral into a surface integral, double integral, or conversely.

One of the four calculus foundational theorems, all 4 of whom are intimately connected to one another, is the Green's theorem.

How to solve?

By Green's theorem, we have

∫c (cist dx + x² siny dy ) = ∫∫r [μ(x²siny)/μx - μcosy/μy dxdy

where C is the *boundary* of the rectangle .

The integral is then

=(cos0 -cos2)∫(5,5)(2x +1)dx

=(1-cos2)(5²+5)

=30(1-cos2)

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1/4 t + 4 = 3/4 (t + 8)

Answers

Answer:    T= -4

Step-by-step explanation: Well i guess it would be that ? If it's not sorry but it should be that

A casino only has red playing chips for $10 each and blue playing chips for $5 each. Jack paid $400 to purchase 50 playing chips at the cashier's window. How many red playing chips were given to him?

Answers

The number of red playing chips that were given to him is 30.

How to calculate the number of red chips?

Let the red chips be illustrated as r.

Let the blue chips be illustrated as b

The appropriate equation to solve the question will be:

r + b = 50.......... i

10r + 5b = 400 ......... ii

From equation i, r = 50 - b.

Put the value of r into equation ii

10r + 5b = 400

10(50 - b) + 5b = 400

500 - 10b + 5b = 400

500 - 5b = 400

Collect like terms

5b = 500 - 400

5b = 100

Divide

b = 100/5

b = 20

Therefore, red chips will be:

r = 50 - b

r = 50 - 20

r = 30

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Select ALL the correct answers.
The graph shows a linear relationship.



Select all the true statements.

A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 2 units.
A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 3 units and 1 unit.
A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 2 units and 1 unit.
A right triangle with its hypotenuse along the line from (2,1) to (6,3) has legs measuring 4 units and 1 unit.
A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 3 units.

Answers

The true statements regarding the linear function are given as follows:

A right triangle with its hypotenuse along the line from (4,2) to (8,4) has legs measuring 4 units and 2 units.A right triangle with its hypotenuse along the line from (2,1) to (4,2) has legs measuring 2 units and 1 unit.

What is correct regarding the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

m is the slope of the function, representing the rate of change.b is the y-intercept of the function, representing the value of y when the function crosses the y-axis.

In this problem, the function crosses the y-axis at the origin, hence the intercept is given as follows:

b = 0.

When x increases by one, y increases by 2, hence the slope is of:

m = 2.

Considering the slope, it means that the ratio of the legs of the right triangle with it's hypotenuse along the line is of 2.

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nebraska, the home of the amc, changed its license plate scheme. each old license plate consisted of a letter followed by four digits. each new license plate consists of three letters followed by three digits. if $a$ is the number of possible license plates in the old scheme and $b$ is the number of possible license plates in the new scheme, what is the value of $b/a$? express your answer as a decimal to the nearest tenth.

Answers

The value of b/a of the number plates is 0.0

What is decimal?

Decimals with the same number of decimal places are referred to as like decimals (after the decimal point). For instance, because both 2.33 and 4.52 include up to two decimal places, they are similar to decimals. Likely decimals are those that do not have the same number of decimal places (after the decimal point).

What are the 3 types of decimals?

Decimal fractions and recurring (repeating or non-terminating, like) decimals are the three different types of decimals.

According to the above question

26 x 10000 = 260,000

If letter and digit repeats are allowed, the number of license plates that can be created under the new system is (26)3 * 1000 = 17,576, 000.

In other words, 260,000 / 17,576,000 = 0.0148, which, when rounded to the nearest tenth, equals 0!

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5/8 = 8/x

A.5
B.64
C.0.2
D.12.8

Answers

Answer: It's 64

Hope this helps!

Directions: Graph and label each figure and its image under the rotation about the given point. Give the
coordinates of the image.
Parallelogram ABCD with vertices A(6, 8), B(10, 9), C(9. 3).
and D(5, 2): 90° counterclockwise rotation about P(4, 1)

Answers

Answer:

See below

Step-by-step explanation:

This is a hard to explain without showing you, if it does not make sense it is not you, it is just hard to explain without showing you.

when 40 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.​

Answers

Answer:

5

Step-by-step explanation:

Let x be that number.

(x^2) - 40 = 3x

x^2 - 40 = 3x

x*2-3x-40=0

(x-5)(x+8)=0

x=5

Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. Kehlani invested $20,000 in an account paying an interest rate of 7&3/4 compounded quarterly. After 10 years, how much more money would Kehlani have in her account than Benjamin, to the nearest dollar?

Answers

If Benjamin invested $20,000 in an account paying an interest rate of 7&5/8 % compounded monthly. The amount of money that Kehlani have in her account than Benjamin is: $322.83.

How to find the compounded amount?

Using this formula to find the compounded amount

A = P(1+r/n)^nt

Where

A = Amount

r =Interest rate.

n =Number of years

P =Principal

Benjamin

P = $20,000

r = 7 5/8% = 7.625% = 0.07625

n = 12 months

t = 10 years

Hence,

A = 20,000 (1+0.07625/12)^12× 10

A = 20,000 (1+0.006354)^120

A = 20,000 (1.006354)^120

A = $42,768.42

Kehlani

P = $20,000

r = 7 3/4% = 7.75= 0.0775

n = 4 months

t = 10 years

Hence,

A = 20,000 (1+0.0775/4)^4× 10

A = 20,000 (1+0.019375)^40

A = 20,000 (1.019375)^40

A = $43,091.25

Difference:

Difference = $43,091.25 - $42,768.42

Difference = $322.83

Therefore the amount of money is $322.83.

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Answer:322

Step-by-step explanation:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days. approximately what percent of batteries have lifetimes more than 561 days ?

Answers

15.87 % percent of batteries have lifetimes more than 561 days.

Given:

battery lifetime is normally distributed for large samples. the mean lifetime is 500 days and the standard deviation is 61 days.

μ = 500

σ = 61

we know that

z = X - μ / σ

z score :

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Given X = 561 days

substitute

z = 561 - 500 / 61

= 61 / 61

z = 1

At z = 1 p value is 0.8413

1 - 0.8413 = 0.1587

= 0.1587 * 100 %

= 15.87 %

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Can someone help me? (again and it wont be the last)

Answers

Answer:  sure I just need to know what you need help with to help you

Step-by-step explanation:

y-x=2x-2/3x linear or nonlinear explain

Answers

Answer:

it is linear

Step-by-step explanation:

if you add x on both sides, you can get rid of the -x on the left side, and you are left with a linear equation in slope intercept form

y=7/3x

A pterodactyl could fly 75 miles in 3 hours. At this rate, how far could a pterodactyl travel in 5 hours?

A pterodactyl could fly 75 miles in 3 hours. At this rate, how far could a pterodactyl travel in 5 hours?

Answers

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

Answer:

125 miles

Step-by-step explanation:

75/3 to find the distance in 1 hour=25

25x5=125

Solve for b.
5/b = 45/36
b = ?

Answers

Answer:

b = 4

Step-by-step explanation:

Step 1: Divide 45 by 36 on the right side

    1. 5/b = 1.25

Step 2: Multiply both sides by b and flip the equation

    2. 1.25b = 5

Step 3: Divide both sides by 1.25

    3. b = 4

[tex]\fbox{b=4}[/tex]

Cross multiply:

[tex]\dfrac{5}{b} =\dfrac{45}{36}[/tex]

[tex](5)\times(36)=45\times(b)[/tex]

[tex]180=45b[/tex]

Flip the equation:

[tex]45b=180[/tex]

Divide both sides by 45:

[tex]\dfrac{45b}{45} =\dfrac{180}{45}[/tex]

[tex]b=4[/tex]

chegg suppose 60% of all college professors like tennis, 65% like bridge, and 50% like chess; 45% like any given pair of recreations. (a) should you be suspicious if told 20% like all three recreations?

Answers

If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

Given that,

Assume that 60% of all college professors enjoy tennis, 65% enjoy bridge, 50% enjoy chess, and 45% enjoy any certain pair of recreational activities.

We have to find if you are told 20% of people prefer all three forms of recreation, should you be suspicious.

We know that,

Let the total professors be  =100

n(tennis) = 60

n( bridege) = 65

n( chess)= 50

n( T U B) = 45, n(BU C) = 45, n(T UC)=45

n( T UBUC)= n(T) + n(B) + n(C) - n( T U B) - n( BU C) - n(TUC) + n(T∩B∩C)

100 = 60 + 65 + 50 - 45-45-45 +n(T∩B∩C)

n(T∩B∩C)=60

Therefore, If you are told 20% of people prefer all three forms of recreation is 60 when 60% of all college professors enjoy tennis, 65% enjoy bridge.

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What is (-3 3/4) - (-2 1/4)?

Answers

First, you want to rewrite the expression like…
(-15/4) - (-9/4)

Since theres a common denominator, just solve the equation…
-15/4 + 9/4

= -3/2 OR -1 1/2

The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled year and y-axis labeled megawatts. The 18 points plotted are 1982 and 76.2, 1983 and 50.6, 1984 and 46.4, 1985 and 35.5, 1986 and 31.1, 1987 and 26.1, 1988 and 21, 1989 and 15.6, 1990 and 14.9, 1991 and 13.8, 1992 and 13, 1993 and 13, 1994 and 10, 1995 and 10, 1996 and 7, 1997 and 6.9, 1998 and 6.6, and 1999 and 6.
What type of correlation exists? Is the model linear or non-linear?
The graph shows a negative correlation, and it is a linear model.
The graph shows a positive correlation, and it is a linear model.
The graph shows a negative correlation, and it is a non-linear model.
The graph shows a positive correlation, and it is a non-linear model.

Answers

The graph shows a negative correlation, and it is a non-linear model.

What is positive and negative correlation?

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation. When two variables move in opposition to one another—that is, when one rises, the other falls—this is known as a negative correlation.

As given data from the graph, y values goes decrease with increasing x values.

So, we can conclude that the graph shows a negative correlation.

And, the given data in the graph are not linear.

Hence, the graph shows a negative correlation, and it is a non-linear model.

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Answer:

The graph shows a negative correlation, and it is a non-linear model.

Step-by-step explanation:

A rectangular box has a square base. Its height is half the width of the base. Find a function that models its volume v in terms of its width w.

Answers

The function that models the volume of  a rectangular box in terms of width is (lw²)/2.

What is the volume of rectangle-based solids?

The basic formula for volume is length×width, whereas the basic formula for area of a rectangular shape is length×width×height.

Given: The base of a rectangular box is square. Half of the base's width is its height.

Let,

length = w (since it has a square base)

width = w

height = w/2

Volume of a rectangular box = length×width×height

                                               V = w×w×(w/2)

                                            V  = (lw²)/2

Therefore, the function that models the volume of  a rectangular box in terms of width is (lw²)/2.

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Find the volume.
2ft 2ft 2ft

Answers

Answer:

Volume = 2×2×2 = 8 feet3

What multiplication facts can be found by using the arrays for 5x6 and 2x6

Answers

The multiplication of the two arrays will be 360.

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The given arrays of the numbers are 5x6 and 2x6. The multiplication of the two numbers will be done as,

M = ( 5 x 6 ) x ( 2 x 6 )

Multiply both the numbers and solve,

M = 30 x 12

M = 360

Therefore, the multiplication of the two arrays will be 360.

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PLEASE HELP!!

GIVE A LOT OF POINTS IF HELP!!!!!

CAULATE IT PLEASEEEEEEEEEEEEEEEEEEE!!!!!!!!! GIVE BRAINLISTT!!

HELP CUALATE THE SQUARE ROOT

Answers

Answer: There are no values that make the equation true  .  No solution

Please help with this!

Answers

Answer:

∠KIH ≅ ∠IKJ

---------------------------------

We can see three marked angles in the diagram.

One of them marked with the small square, it means this is a right angle.

The other two are marked with 3 small parallel curves, it means they are congruent:

∠KIH ≅ ∠IKJ,

You can name them differently but it doesn't change angles:

∠HIK ≅ ∠JKI.

consider carrying out m tests of hypotheses based on independent samples, each at significance level (exactly) 0.01. (a) what is the probability of committing at least one type i error when m

Answers

The probability of committing when at least one type I error at a significance level (exactly) 0.01 at m = 11 is equivalent to 0.1047.

Given that:

The hypotheses are based on independent samples with each at a 0.01 level of significance.

We know that:

P (at least one type I error is committed) = 1 - [P (No error -  type I error is committed)]^m

P (at least one type I error is committed) = 1 - [(1 - 0.01)]^11

P (at least one type I error is committed) = 1 - [0.99]^11

P (at least one type I error is committed) = 1 - 0.8953

P (at least one type I error is committed) = 0.1047

So, the probability of committing when at least one type I error is equivalent to 0.1047.

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Priya and Han each wrote an equation of a line with slope 1/2 that passes through the point (1,2) Priya's equation is y-2=1/3(x-1) and Han's equation is 3y - x = 5. Do you agree with either of them?

Explain or show your reasoning

Answers

Both Priya's equation and Han's equation are wrong . So , I don't agree with either of them

Slope-intercept form of equation of line is y =mx + b

where m is a slope of line

b is y-intercept

According to the question,

Slope of line is given as 1/2

m = 1/2

Putting the value of m in equation of line

y = 1/2 x + b --------(1)

It is given that line(1) passes through (1,2)

so, x = 1 and y = 2

Substituing the value of x and y in equation (1)

2 = 1/2 +b

Multiplying by 2 both sides

4 = 1 + 2b

=> 2b = 3

=> b = 3/2

substituting the value of b

Equation of line is y = 1/2 x + 3/2

=> 2y = x + 3

Therefore, Both Priya's equation and Han's equation are wrong

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true or false: with a well-designed sample survery, the sample percentage is very likely to equl the population percentage

Answers

This sentence is False, when the sample size is small, the sample percentage may not be equal to the population percentage.

In demographics, the sector population is the overall quantity of human beings presently residing. It turned into predicted by the United countries to have exceeded eight billion in November 2022. It took over 2 hundred,000 years of human prehistory and history for the human populace to attain one billion and only 219 years extra to attain 8 billion.

The human population experienced a non-stop boom following the Great Famine of 1315–1317 and the end of the Black dying in 1350 when it became nearly 370,000,000. the very best worldwide populace growth quotes, with increases of over 1.8% in line with 12 months, took place between 1955 and 1975, peaking at 2.1% between 1965 and 1970. The increased charge declined to one.1% between 2015 and 2020 and is projected to say no further within the twenty-first century. the worldwide population continues to increase, however, there's sizable uncertainty approximately its long-term trajectory due to converting fertility and mortality fees. The UN Department of Economics and Social Affairs tasks between 9 and 10 billion people by 2050 and offers an 80% self-assurance c language of 10–12 billion by using the cease of the twenty-first century, with a growth charge by using then of zero. other demographers are expecting that the human populace will start to decline in the 2d half of the 21st century.

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Please help me with this question. I need it immediately, and it is Grade 7 math.

Answers

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Scott has a tree in his lawn. The tree grows 25 centimeters every year. Since the tree began developing, Scott has managed 16 centimeters off its level. The objective for the tree's level is given by 25x - 16 ≥ 234, where x is the quantity of years the tree develops.

Simplify the inequality, then we have

25x - 16 ≥ 234

25x ≥ 234 + 16

25x ≥ 250

x ≥ 10

To meet the goal, the tree must be at least 250 centimeters tall. This will take at least 10 years. Then the correct option is B.

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A researcher wishes to see if there is a difference in the cholesterol levels of two groups of men. A random sample of 30 men between the ages of 25 and 40 is selected and tested, the average cholesterol level was 223 with standard deviation of 6.1. A second sample of 25 men between ages of 41 and 56 is selected and tested, the average cholesterol level for this group was 229 with standard deviation of 5.8. Assume the populations are normally distributed and the population standard deviation are unequal.

A. At [tex]\alpha = 0.01[/tex], is there a difference in the cholesterol levels between the two groups? Use traditional method.

B. Use confidence interval to verify your answers in (A).

Answers

a. There is a difference in the cholesterol levels between the two groups.

b. The confidence interval for the differences is of (1.7, 10.3), not containing 0 and thus verifying what was found in item a.

What are the hypothesis tested?

At the null hypothesis, it is tested that there is no difference, that is, the mean of the subtraction is of zero, hence:

[tex]H_0: \mu_d = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is, the mean of the subtraction is different of zero, hence:

[tex]H_1: \mu_d \neq 0[/tex]

We have a two-tailed test, as we are testing if the mean is different of value, with 30 + 25 - 2 = 53 df, with a significance level of 0.01, hence the critical value is of:

t = 2.6718

Hence the decision rule, considering the test statistic t, is given as follows:

|t| < 2.6718: do not reject the null hypothesis -> not enough evidence to conclude that there is a difference.|t| > 2.6718: reject the null hypothesis -> enough evidence to conclude that there is a difference.

What are the mean and the standard deviation of the distribution of differences?

For each sample, the mean and the standard error are given as follows:

Sample 1: [tex]\mu_1 = 223, s_1 = \frac{6.1}{\sqrt{30}} = 1.1137[/tex].Sample 2: [tex]\mu_2 = 229, s_2 = \frac{5.8}{\sqrt{25}} = 1.16[/tex].

Hence the mean and the standard error for the distribution of differences is given as follows:

Mean: [tex]\overline{x} = \mu_2 - \mu_1 = 229 - 223 = 6[/tex].Standard Error: [tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{1.1137^2 + 1.16^2} = 1.61[/tex]

What is the test statistic?

The test statistic is obtained as the division of the sample mean by the standard error, hence:

t = 6/1.61

t = 3.73.

t > 2.6718, hence the null hypothesis is rejected, and there is a difference in the cholesterol levels between the two groups.

What is the confidence interval?

The confidence interval is obtained as the sample mean plus/minus the multiplication of the standard error and of the critical value.

Hence the lower bound of the confidence interval is of:

6 - 2.6718 x 1.61 = 1.7.

The upper bound is of:

6 + 2.6718 x 1.61 = 10.3.

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the mean score of 888 players in a basketball game was 14.514.514, point, 5 points. if the highest individual score is removed, the mean score of the remaining 777 players becomes 121212 points. what was the highest score?

Answers

The highest score is 12794706708

What is mean ?

The average of a set of data is referred to as the mean in statistics and arithmetic. The simple arithmetic mean, geometric mean, and harmonic mean are some of the methods that can be used to calculate the mean. The basic arithmetic mean involves adding the numbers together and dividing the result by the number of observations.

At first (remaining + top player) /888 = 14514514

So remaining + top = 12888888432

Now after removing top

Remaining/777 = 121212

Remaining = 94181724

So top = 12888888432 - 94181724

           = 12794706708

12794706708 is the score of the top player

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explain why a genetically engineered plasmid would be engineered with ampicillin resistance and the lacz gene? block a has weight of 40 lb and vlock b has weight of 8 lb.the coefficient of kinetic friction between all surfaces of contact is u_k = 0.15. Knowing theta = 20 and P = 50 lb, determine (a) the acceleration of block B, (b) the tension in the cord. lord of the flies describe this quote in 100 words Jack himself shrank at this cry with a hiss of indrawn breath, and for a minute became less a hunter than a furtive thing, ape-like among the tangle of trees he stockholders' equity section on the december 31 balance sheet of chemfast corporation reported the following amounts: contributed capital preferred stock (par $20; authorized 10,000 shares, ? issued, of which 1,000 shares are held as treasury stock) $ 102,000 additional paid-in capital, preferred 13,770 common stock (no-par; authorized 20,000 shares, issued and outstanding 5,900 shares) 584,100 retained earnings 29,000 treasury stock, 1,000 preferred shares at cost (9,450) Assume that no shares of treasury stock have been sold in the past.Required:Complete the following statements. (Decreases should be indicated by a minus sign. Round per share to 2 decimal places.)1.The number of shares of preferred stock issued was2.The number of shares of preferred stock outstanding was3.The average issue price of the preferred stock wasper share4.The average issue price of the common stock was5.The treasury stock transaction increased (decreased) stockholders equity by6.The treasury stock costper share7.Total stockholders equity is the sample space contains 5 as and 7 bs. what is the probability that a randomly selected set of 2 will in- clude 1 a and 1 b? What sequence of exercises should you follow when training all major muscle groups in a workout?. as compared to behaviorism, albert bandura's social cognitive theory recognized the role of which of the following in determining behavior? 2nahco3 --> h2o (gas) co2 (gas) na2co3 (solid) how many l of gas are produced if 1.00 g. of nahco3 decomposes at 29 degrees c and 769 torr? I NEED HELP FAST please research the current status of hsieh's decision to eliminate all managers and to implement holacracy. what have been the benefits? drawbacks? in the long run, a firm will exit a competitive industry if question 4 options: a) total revenue exceeds total cost. b) the price exceeds average total cost. c) average total cost exceeds the price. d) both a and b are correct. which is not a right of ownership in a life insurance policy? select one: a. changing irrevocable beneficiaries b. using the policy as collateral for a bank loan c. receiving dividends d. changing settlement options an outside company provides security services for a department store for $1,200 per month. management allocates this cost across the stores four departments based on the square feet each department occupies. using the information below, what is the cost allocated to the mens department? a nurse is developing a teaching plan for a client diagnosed with osteoarthritis. what instruction should the nurse give to the client to minimize injury? What did the patriots want Which of the following is an advantage of asexual reproduction?Group of answer choicesOffspring are genetically diverseThere is little genetic variation among offspringOrganisms do not need to find a mateAll offspring are susceptible to same disease before entering a formal agreement, investment banks carefully investigate the companies whose securities they underwrite; this is especially true of the issues of firms going public for the first time. because the banks do not themselves plan to hold the securities but intend to sell them to others as soon as possible, why are they so concerned about making careful investigations? t purpose does the speaker include quotations critical of politicians in paragraphexpress shame about holding political officeprovide background information about political partiessupport the argument that people must be taught how to leadcontradict the misconceptions that learning can only take place in school need help on 11 and 12! or you can solve one instead of both if u want Find the x value of the axis of symmetry for the following function: f(x) = - 3x ^ 2 + 13x + 10