please help me do this question​

If John is the divider then $5 is the consistent value with his share system.

The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.

Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.

That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.

Suppose, John splits a bag of candy

a) first half : 50 Snickers, 50 Milky ways and 50 Reese's

b) second half :  50 Snickers, 50 Milky ways and 50 Reese's

The value of both of the half in John's terms ;

50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5

Therefore, if John is the divider then $5 is the consistent value with his share system.

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Answer:

Step-by-step explanation:

The next number is 1. Divide 3 by 3 as you have done in the previous numbers.

Given:

To Determine: The probability that a customer will be seated at a round table or by the window

Solution

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment

The probability that a customer will be seated at a round table or by the window would be

Hence, the probability that a customer will be seated at a round table or by the window is 45/60

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

Answer:

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.

Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).

From the given box plot we observe that the minimum value is 12 and the maximum value is 24.

Here, the median is 19.

From the information the two data set that have the corresponding values are:

12, 15, 15, 17, 19, 19, 20, 22, 24

12, 15, 17, 17, 19, 19, 22, 22, 24

The lower quartile is 15.

The upper quartile is 21.

Calculating the lower quartile for the data sets:

12, 15, 15, 17, 19, 19, 20, 22, 24

Lower quartile = 15

Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.

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Answer:

9/16

Step-by-step explanation:

6/8= 3/4

3/4*3/4=9/16

Answer:

9/16

I hope this helps.

Step-by-step explanation:

No, A is not defective.

The rank–nullity theorem is a theorem in linear algebra, which asserts that the dimension of the domain of a linear map is the sum of its rank (the dimension of its image) and its nullity (the dimension of its kernel).

Given here  A be a 4 x 4 matrix and let λ be an eigenvalue of multiplicity 3 and rank 1, then by rank nullity theorem we have

    Rank(A-λI) + Nullity((A-λI) =4

⇒dimN(N-λI) = Nullity(A-λI)

⇒dimN(N-λI) = 4 - Rank(A-λI)

⇒dimN(N-λI)  = 4-1

⇒dimN(N-λI) = 3

Therefore 3 linearly independent eigenvectors belong to eigenvalue λ. Since λ is an eigenvalue of multiplicity 3, this ensures that there is a different eigenvalue different from λ. Along with 3 linearly independent eigenvectors in the eigenspace of λ, this gives us 4 linearly independent eigenvectors in the matrix A. Now we An n × n matrix A is diagonalizable if and only if A has n linearly independent eigenvectors. Thus A is nondefective

Hence, matrix A is not defective.

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According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

the answer is option A population standard deviation

Answer:

6 dollars

Step-by-step explanation:

12+12 =6

Answer: A. x <= -3

Step-by-step explanation:

First, let's begin by simplifying the inequality:

-4x >= 12    ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...

-4x / -4 <= 12 / -4    ← Simplify...

x <= -3

Now, we need to find the right number line representing this inequality.

The number line that fits these criteria would be A.

Answer:

Defintion. A subset W of a vector space V is a subspace if

(1) W is non-empty

(2) For every v, ¯ w¯ ∈ W and a, b ∈ F, av¯ + bw¯ ∈ W.

Expressions like av¯ + bw¯, or more generally

X

k

i=1

aiv¯ + i

are called linear combinations. So a non-empty subset of V is a subspace if it is

closed under linear combinations. Much of today’s class will focus on properties of

subsets and subspaces detected by various conditions on linear combinations.

Theorem. If W is a subspace of V , then W is a vector space over F with operations

coming from those of V .

In particular, since all of those axioms are satisfied for V , then they are for W.

We only have to check closure!

Examples:

Defintion. Let F

n = {(a1, . . . , an)|ai ∈ F} with coordinate-wise addition and scalar

multiplication.

This gives us a few examples. Let W ⊂ F

n be those points which are zero except

in the first coordinate:

W = {(a, 0, . . . , 0)} ⊂ F

n

.

Then W is a subspace, since

a · (α, 0, . . . , 0) + b · (β, 0, . . . , 0) = (aα + bβ, 0, . . . , 0) ∈ W.

If F = R, then W0 = {(a1, . . . , an)|ai ≥ 0} is not a subspace. It’s closed under

addition, but not scalar multiplication.

We have a number of ways to build new subspaces from old.

Proposition. If Wi for i ∈ I is a collection of subspaces of V , then

W =

\

i∈I

Wi = {w¯ ∈ V |w¯ ∈ Wi∀i ∈ I}

is a subspace.

Proof. Let ¯v, w¯ ∈ W. Then for all i ∈ I, ¯v, w¯ ∈ Wi

, by definition. Since each Wi

is

a subspace, we then learn that for all a, b ∈ F,

av¯ + bw¯ ∈ Wi

,

and hence av¯ + bw¯ ∈ W. ¤

Thought question: Why is this never empty?

The union is a little trickier.

Proposition. W1 ∪ W2 is a subspace iff W1 ⊂ W2 or W2 ⊂ W1.

i hope this helped have a nice day/night :)

The surface area of the cylinder is 6764π mm².

Given the radius of the cylinder is 38 mm and

the height of the cylinder is 51 mm.

we are asked to determine the surface area = ?

we know that surface area of a cylinder = 2πrh + 2πr²

given, r = 38 mm

h = 51 mm

substitute the above values to get the surface area.

A = 2πrh + 2πr²

A = 2π(38)(51) + 2π(38)²

A = 2π(1938) + 2π(1444) mm²

A = 3876π + 2888π mm²

A = 6764π mm²

Hence the surface area of the cylinder is 6764 mm² in terms of π.

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Answer:

35.94 lb

Step-by-step explanation:

The net mass flow rate dm/dt = flow rate in - flow rate out

mass flow rate in = concentration in × volume flow rate in = 0.4 lb/gallon of salt × 5 gal/min = 2 lb/min

Let m(t) be the mass present at time, t.

So, the concentration at time, t = m(t)/volume of tank = m(t)/100

mass flow rate out = concentration out × volume flow rate out = m(t)/100 lb/gal× 5 gal/min = m(t)/20 lb/min

So, dm/dt = 2 lb/min - m(t)/20 lb/min

So, dm/dt = 2 - m(t)/20

dm/dt = [40 - m(t)]/20

separating the variables, we have

dm/[40 - m(t)] = dt/20

integrating, we have

∫dm/[40 - m(t)] = ∫dt/20

-1/-1 ×∫dm/[40 - m(t)] = ∫dt/20

1/-1 ×∫-dm/[40 - m(t)] = ∫dt/20

1/-1 ×㏑[40 - m(t)] = t/20 + C

-㏑[40 - m(t)] = t/20 + C

㏑[40 - m(t)] = -t/20 - C

taking exponents of both sides, we have

\(40 - m(t) = e^({\frac{-t}{20} - C}) \\40 - m(t) = e^{\frac{-t}{20}}e^{-C} \\40 - m(t) = Ae^{\frac{-t}{20}} (A = e^{-C})\\m(t) = 40 - Ae^{\frac{-t}{20}}\)

when t = 0 m(0) = 10 lb

So

\(m(t) = 40 - Ae^{\frac{-t}{20}}\\m(0) = 40 - Ae^{\frac{-0}{20}}\\10 = 40 - Ae^{0}\\10 = 40 - A\\A = 40 - 10 \\A = 30\)

So,

\(m(t) = 40 - 30e^{\frac{-t}{20}}\)

when t = 40 minutes, m(40) =

\(m(40) = 40 - 30e^{\frac{-40}{20}}\\m(40) = 40 - 30e^{-2}\\m(40) = 40 - 30 X 0.1353\\m(40) = 40 - 4.06\\m(40) = 35.94\)

So, at the end of 40 minutes, the amount of salt in the tank is 35.94 lb

Answer:

y = 4x+2

Step-by-step explanation:

For the lines to be parallel, they need to have the same slope. The line given has a slope of 4 (m=4). We now use this in the point intersect formula

\(y - y_0 = m(x-x_0)\) with the point given (-1,-2). Hence, we get\(y-(-2)= 4(x-(-1))\)

\(y+2=4(x+1)\)

\(y=4x+2\).

To check, you can plug in the point we used and make sure you get the same number on both sides.

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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The person that was closest to the state record after the jump is; Alex

We are told that Alex jumped 38 feet 11²/₃ inches or 38.9725 ft and that the eighth-grade record is 40.17 feet.

Let see how closer Alex jumped was;

40.17 feet - 38.9725 ft = 1.2425 ft

We are told that Eric jumped 36.89 feet and the state record of the eighthgrade record is 40.17 feet. Thus;

Let see how closer Eric jumped was;

40.17 feet - 36.89 ft = 3.28 ft

We conclude that 1.2425 ft is less than 3.28 ft and as such Alex was closer.

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Answer:

\(\boxed{f\left(\frac{3}{4} \right) = \frac{7}{4}}\)

.

Step-by-step explanation:

\(f(x) = 2x + \frac{1}{4}\)

.

\(f\left(\frac{3}{4} \right) = 2(\frac{3}{4} ) + \frac{1}{4}\)

\(f\left(\frac{3}{4} \right) = \frac{6}{4} + \frac{1}{4}\)

\(f\left(\frac{3}{4} \right) = \frac{6 + 1}{4}\)

\(f\left(\frac{3}{4} \right) = \frac{7}{4}\)

Answer:

2x+y+1=0

Step-by-step explanation:

this is a first degree equation with two unknown variables, x and y. they are referred to as linear equation and are typically represented in slope intercepts form, y=mx+b, where m is the slope of the line and b is the y intercept. So you want to set the equation equal to y by isolating it to one side of the equation.

Subtract all term other than y (in this case, 2x and 1) from both sides of the equation.

2x+y+1-2x-1=0-2x-1

y=-2x-1

Answer:

M=-2 & C=-1

Step-by-step explanation:

2x+y+1=0

The equation of a straight line is given as

y=mx+c

where, m is the gradient slope

c is y- intercept

from the equation 2x+y+1=0

make y subject of the formula

2x+y+1=0

y= -2x-1

Therefore, Slope (M)=-2 & y-intercept (c)=-1

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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510,000,000 million km²

Let us represent the total surface area of the earth as = x

We are told in the question that:

Water covers 70.8%, or about 3.61 × 10⁸ km², of the Earth's surface.

70.8% = 0.708

Hence,

0.708 × x = 3.61 × 10⁸

x = 3.61 × 10⁸/0.708

x = 361000000/0.708

x = 509,887,005.65km²

Therefore, the total surface are the earth approximately to the nearest million = 510,000,000 million km²

This is the number "510 million"

=======================================================

Work Shown:

The times 10⁸ means "times 100 million"

3.61 x 10⁸ = 3.61 * 100 million = 361 million

S = surface area of the earth

70.8% of S = water coverage area

70.8% of S = 361 million square km

0.708S = 361 million square km

S = (361/0.708) million square km

S = 509.887 million square km

S = 510 million square km

S = 510,000,000 square km

Answer:

Step 2 shows Emily's first mistake.

Step-by-step explanation:

3(2) = 6

But instead of this Emily wrote 3(2) = 9.

9514 1404 393

Answer:

  2000, 3000, 7000

Step-by-step explanation:

The total number of ratio units is 2+3+7=12, so each stands for 1000 in the share.

The girls get 2000 : 3000 : 7000.

\(\sf \bf :\longmapsto \sf sin6^0 sin42^0 sin56^0 Sin10\)

Now we know a identity matching the statement . to use that, multiply and divide by 4

\(\sf \bf :\longmapsto \dfrac{1}{4}{ 2\sin {6}^{ \circ} \sin {66}^{ \circ} \times 2\sin {44}^{ \circ} \sin {102}^{ \circ} }\)

\(\sf \bf :\longmapsto k=\dfrac{1}{4} \times 2 \sin {6}^{ \circ} \sin {66}^{ \circ} \times 2 \sin {42}^{ \circ} \sin {102}^{ \circ}\)

\(\sf \bf : \red\longmapsto k = \dfrac{1}{4} \times (\cos {60}^{ \circ} - \cos {72}^{ \circ} ) (\cos {60}^{ \circ} - \cos {144}^{ \circ}\)

\(\sf \bf :\longmapsto k = \dfrac{1}{4} \times \bigg( \dfrac{1}{2} - \dfrac{ \sqrt{5} - 1}{4} \bigg) \bigg( \dfrac{1}{2} + \cos {36}^{ \circ} \bigg)\)

\(\sf \bf :\longmapsto k = \dfrac{1}{4} \times \bigg( \dfrac{1}{2} - \dfrac{ \sqrt{5} - 1}{4} \bigg) \bigg( \dfrac{1}{2} + \dfrac{ \sqrt{5} + 1}{4} \bigg)\)

\(\sf \bf :\longmapsto k = \dfrac{1}{4} \times \bigg( \dfrac{ 3 - \sqrt{5} }{4} \bigg) \bigg( \dfrac{ 3 + \sqrt{5} }{4} \bigg):⟼k=41×(43−5)(43+5)

\)

\(\sf \bf :\longmapsto k = \dfrac{1}{4} \times \bigg( \dfrac{ {3}^{2} - {( \sqrt{5} )}^{2} }{4 \times 4} \bigg):⟼k=41×(4×432−(5)2)\)

\(\sf \bf :\longmapsto k=\dfrac{9-5}{16\times 4}\)

\(\boxed{\sf \bf:\longmapsto\pink{ k=\dfrac{1}{16}}}\)

\(\sf \ :\longmapsto \green{ \dfrac{k}{2} = \dfrac{1}{2} \left(\dfrac{1}{16}\right)}\)

\(\boxed{\boxed{\sf \bf :\longmapsto \dfrac{k}{2} = \dfrac{1}{32}}}\)

\(\sf 2 \: sin \: A \: sin \: B = cos({A-B}\)

\(\sf cos(180^0-A) = -cosAcos\)

\(\sf cos72^0/\&\cos144^0 \)

Answer:

Your answer is 71

Step-by-step explanation:

7+2(n-1)

we have our n as 8

so,7+2(8-1)

9(7)=63

Answer:

A. 118°

B. 62°

C. 59°

Step-by-step explanation:

Hooe this helps!:) If you want me to explain just ask in the comments

Answer:

  a = 118

  b = 62

  c = 59

Step-by-step explanation:

a. The angle marked a° and the one marked 62° form a linear pair, so are supplementary.

  a° = 180° -62° = 118°

__

b. The angles marked 62° and b° are vertical angles, so both have the same measure.

  b° = 62°

__

c. The angles marked with a single arc are congruent. The arcs in the top triangle show that triangle to be isosceles. The sum of angles in that triangle is 180°:

  2·c° +62° = 180°

  c° +31° = 90° . . . . . divide by 2

  c° = 59° . . . . . . . . subtract 31°

_____

Additional comment

The diagram has enough marks to show that the top and bottom triangles are congruent.