Jordan has completod of his reading goal for the month, and Raj has completed ft of his reading goal for the


month.


What is the most accurate estimate for the difference between the amounts of reading goal completed?


Drag and drop an answer into each box to correctly complete the statements.


is closest to


and fí is closest to


So the difference is closest to

Answer:

(-1,-1)

Step-by-step explanation:

Because that is where the dot is.

Hope this helps :)

The expected frequency of heads should be close to 0.5.

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible to occur and 1 indicates that the event is certain to occur. Probability is used in many areas of mathematics and science, from predicting weather patterns to predicting stock market performance. Probability is also used to make decisions in everyday life, such as whether to take an umbrella with you when you leave the house.

The relative frequency for the event heads for friends 1 is-
53/86 = 0.615

The relative frequency for the event heads for friends 2 is-
61/86 = 0.710

The relative frequency for the event heads for friends 3 is-
28/86= 0.326

If the friends combine their results to get 142 heads and 116 tails, the relative frequency for the event "heads" is
142/258 = 0.551.

If each friend flips a coin 860 times, the expected relative frequency for the event "heads" is close to 0.5. This is because in a fair coin toss, there is an equal chance of getting heads or tails and the probability of getting either result is 0.5. Therefore, the expected frequency of heads should be close to 0.5.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

\(4x^{3}\)

Step-by-step explanation:

Given:

\((\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}\)

Apply exponent rule of distribution:

\(\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}\)

Simplify the numerator:

\(\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}\)

Simplify the denominator:

\(\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}\)

Simplify:

\(4x^{3}\)

-> To explain this party since it is a bigger jump, \(3^{\frac{1}{3}}x\) is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have \(x^{3}\) leftover too.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

5 mph

Step-by-step explanation:

speed = distance/time = (1/4)/(1/20)= 20/4= five mph

Answer: well you need to divid

Step-by-step explanation: well by dividing you get a answer so like you compare if the answer you got is for all of them and if it is not you say it is not proportional

Answer: 4th option

Step-by-step explanation: divide it by 27x12 and the result should be close to 3 and because the 4th option is also close to 3, then that should be the correct answer.

Answer:

Step-by-step explanation:

Correct choice is B

The solutions to this equation are of the form x = s[v1] + t[v2] + u[v3] + v[v4], where v1, v2, v3, and v4 are the vectors that span the kernel of A. For the given matrix A, the kernel is spanned by the vectors [1 1 0 0 0], [1 0 -1 0 0], [0 1 0 -1 0], and [-1 2 1 0 1].

To find the vectors that span the kernel of A, we need to solve the equation Ax = 0, where 0 is the zero vector.

We can do this by row reducing the augmented matrix [A|0].

RREF([A|0]) = [\begin{array}{ccc|c}1&-1&0&0&0\\0&0&1&0&0\\0&0&0&1&0\\0&0&0&0&0\end{array}\right]

The solutions to this equation are of the form:
x = s[\begin{array}{c}1\\1\\0\\0\\0\end{array}\right] + t[\begin{array}{c}1\\0\\-1\\0\\0\end{array}\right] + u[\begin{array}{c}0\\1\\0\\-1\\0\end{array}\right] + v[\begin{array}{c}-1\\2\\1\\0\\1\end{array}\right]

where s, t, u, and v are constants.

Therefore, the vectors that span the kernel of A are:
[\begin{array}{c}1\\1\\0\\0\\0\end{array}\right], [\begin{array}{c}1\\0\\-1\\0\\0\end{array}\right], [\begin{array}{c}0\\1\\0\\-1\\0\end{array}\right], and [\begin{array}{c}-1\\2\\1\\0\\1\end{array}\right].

To enter them in the given format, we can use:
ker(A) = span [\begin{array}{c}a\\1\\b\\c\\d\end{array}\right] [\begin{array}{c}e\\f\\g\\1\\h\end{array}\right]

where a, b, c, d, e, f, g, and h are the constants corresponding to the vectors above.

So, ker(A) = span [\begin{array}{c}1\\1\\0\\0\\0\end{array}\right] [\begin{array}{c}0\\1\\-1\\0\\0\end{array}\right] [\begin{array}{c}0\\0\\0\\1\\0\end{array}\right] [\begin{array}{c}-1\\0\\1\\0\\1\end{array}\right]
To find the vectors that span the kernel of A, we first need to row reduce A to its row echelon form (REF) or reduced row echelon form (RREF). The matrix A is given as:

A = \[\begin{array}{ccccc}1&-1&-1&1&1\\-1&1&0&-2&2\\1&-1&-2&0&3\\2&-2&-1&3&4\end{array}\right]

After row reducing the matrix A, we get the RREF:

RREF(A) = \[\begin{array}{ccccc}1&-1&0&0&-1\\0&0&1&0&-2\\0&0&0&1&1\\0&0&0&0&0\end{array}\right]

Now, we can find the kernel of A by solving the homogeneous system Ax = 0, where x is a vector [a b c d e]^T. Using the RREF(A), we get the following system of equations:

1. a - b - e = 0
2. c - 2e = 0
3. d + e = 0

From equation 1, we get b = a - e.
From equation 2, we get c = 2e.
From equation 3, we get d = -e.

Now, we can write the vector x as a linear combination of two vectors, one with a 1 in the first position and the other with a 1 in the fourth position:

x = a[1 1 0 0 1] + e[0 0 2 1 -1]

So, the kernel of A (ker(A)) is spanned by the vectors:

ker(A) = span \[\begin{array}{c}[1, 1, 0, 0, 1], [0, 0, 2, 1, -1]\end{array}\right]

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The given series is equivalent to the sum of two p-series: ∑n^(-1/2) + ∑n^(-2). Where the first series converges since p1 = 1/2 > 0 and the second series also converges since p2 = 2 > 1.

To start, we can simplify the given series as:

sqrt(n+4)/n^2 = 1

Taking the reciprocal of both sides:

n^2/sqrt(n+4) = 1

Multiplying both sides by sqrt(n+4):

n^2 = sqrt(n+4)

Squaring both sides:

n^4 = n+4

This is a quadratic equation that we can solve using the quadratic formula:

n = (-1 ± sqrt(17))/2

Since we are only interested in positive integer values of n, we take the larger root:

n = (-1 + sqrt(17))/2 ≈ 1.56

Now that we have found the value of n that satisfies the equation, we can rewrite the given series in terms of p-series:

sqrt(n+4)/n^2 = (n+4)^(1/2) / n^2
= (1 + 4/n)^(1/2) / n^2

Using the formula for the p-series:

∑n^-p = 1/1^p + 1/2^p + 1/3^p + ...

We can see that the given series is equivalent to:

(1 + 4/n)^(1/2) / n^2 = n^(-2) * (1 + 4/n)^(1/2)
= n^(-p1) + n^(-p2)

Where p1 is the smaller value and p2 is the larger value of p that make up the two p-series.

We can find p1 and p2 by comparing the exponents of n on both sides of the equation:

p1 = 1/2
p2 = 2

Therefore, the given series is equivalent to the sum of two p-series:

∑n^(-1/2) + ∑n^(-2)

Where the first series converges since p1 = 1/2 > 0 and the second series also converges since p2 = 2 > 1.

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The 1, 2, 4, and 5 principles are the principles that are used for accurate image projection with the help of the paralleling technique. Hence, the answer is option D.

The Principles are the following:

In this principles, the 1, 2, 4 & 5 principles are used for accurate image projection.

Therefore, the correct answer is principles 1, 2, 4, and 5. With the help of these principles we can accurate the image projection with the help of paralleling technique.

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Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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It would take about 25 months for the cost of leasing a billboard be the same for both companies.

A linear function is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let P represent the cost to lease a billboard from a different company for x months. Given that:

P(x) = 100x

For the second company, let C represent the cost, hence using the table point (1, 580) and (5, 900):

C - 580 = [(900 - 580)/(5 - 1)](x - 1)

C = 80x + 500

For the same cost:

100x = 80x + 500

x = 25 months

It would take about 25 months for the cost of leasing a billboard be the same for both companies.

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Answer:25 months

Step-by-step explanation:

because that’s what it says

The total change in the number of bushels he has for sale after 6 days is 92 2/5 bushels.

From the information, the farmer has 180 bushels of apples to sell at his roadside stand. He sells an average of 14 3/5 bushels each day.

Therefore, the remaining amount after 6 days will be:

= Initial amount - Amount sold

= 180 - 14 3/5(6)

= 180 - 87 3/5

= 92 2/5

This represents the remaining bushels.

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Answer:

x = 35.20735

Step-by-step explanation:

Use tanФ = opposite/adjacent

tan58 = x/22

x = 35.20735

Answer:

\(x + 2 = 2y \\ x = - 2y - 2\)

\(2y = x + 2 \\ \frac{2y}{2} = \frac{x + 2}{2} \\ y = \frac{x + 2}{2} \\ y = \frac{x}{2 + 1} \)

The ladder should she placed 12 feet from the base of her house

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

We make use of the pythagoras theorem to calculate how far the ladder should be placed

Represent this with x

So we have

x^2 = 20^2 - 16^2

Evaluate

x^2 = 144

So, we have

x = 12

Hence. the ladder should she placed 12 feet from the base of her house

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Based on the estimated number of defective batteries and the number of batteries that were actually defective, the percent error of Jake's estimate is 20%

The percent error of a problem can be found by the formula:
= (Expected results - Actual results) / 100%

Expected results = 12 defective batteries

Actual results = 10 defective batteries

Jake's percentage error is therefore:

= (12 - 10) / 100%

= 2 / 10 x 100%

= 0.2 x 100%
= 20%

In conclusion, the percent error of Jake's estimate is 20%.

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Answer:

Step-by-step explanation:

1. Substitute t and v

p=1000(32)/800

2. solve

p=32000/800

3.simplify

p=40

hope it helps, please mark as brainliest :)

Answer: -3/16

Step-by-step explanation:

When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...

-12(x^-2) (y^-2) can be rewritten as

-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4

-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16

-12 (1/4) (1/16)

-3 (1/16)

= -3/16

The slope of the points is 0 when the line passing through the points (-2, 1) and in its point-slope form (0, 1).

Given that,

The line passing through the points (-2, 1) and in its point-slope form (0, 1). Recognize (x₁, y₁) as (-2, 1).

We have to find to submit all of your calculations and complete responses.

We know that,

The point passing through the other point.

We can find the slope.

Slope is rise/run.

The points are (-2,1) and (0,1)

m is 1-1/0+2

m is 0/2

m is 0

Therefore, The slope of the points is 0 when the line passing through the points (-2, 1) and in its point-slope form (0, 1).

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Answer:

10 and five sixths

Step-by-step explanation:

Hope this helpsss

Answer:

it is d

Step-by-step explanation:

ten and five sixths

Answer:

Step-by-step explanation:

a. (I) x = 65

(ii) vertically opposite angles are equal.

b. (i) 71 degrees

(ii) alternate interior angles are equal

c. (i) z = 180 - 71 = 109 degrees

(ii) angles on a line add up to 180 degrees

Answer:

x = 65°, y = 71°, z = 44°

Step-by-step explanation:

x and 65 are vertical angles and congruent, thus

x = 65°

y and 71 are alternate angles and congruent, thus

y = 71°

The sum of the 3 angles in a triangle = 180°, thus

z = 180° - (65 + 71)° = 180° - 136° = 44°

Hence

x = 65°, y = 71° and z = 44°

Answer:

18 cm²

Step-by-step explanation:

The given triangle is a right angled triangle.

By tilting the triangle & placing the 90° to the base side, we can see that,

Base (b) = 6 cm

Height (h) = 66cm

=》Area of the triangle

= ½bh

= ½ × 6 × 6

= ½ × 36

= 18 cm²

■ Refer to the image.

Hope it helps ⚜

leg (a)= 6

leg (b)= 6

the area of the triangle.

\(area = \frac{ab}{2} \)

\(a = \frac{6 \times 6}{2} \)

\(a = 18 \: {cm}^{2} \)

hence, the area of the triangle is 18 square centimeters.

The distance from Southville to Westfield is 95 miles.

How to find the distance?

Let's say that Portland is the origin of the coordinate axis, East is the positive x-axis and North is the positive y-axis.

Westfield is 76 mi due west of Portland, then Westfield's position is:

(76mi, 0mi).

Southville is 57 mi due south of Portland, then its position is:

(0mi, 76mi)

The distance between these two points is given by:

\(D=\sqrt{(76mi-0mi)^2+(0mi-(-57mi)^2}\) = 95 miles.

So the distance from Southville to Westfield is 95 miles.

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Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Answer:

95.76

Step-by-step explanation:

The area of the small sector is 10.28 cm² and the area of the large sector is 17.98 cm².

The area of a sector of a circle is given by the formula A = (θ/360)πr², where θ is the central angle in degrees, and r is the radius of the circle.

For the small sector with an arc angle of 131 degrees, we have:

A = (131/360)π(3 cm)²

A ≈ 10.28 cm²

For the large sector, we have a central angle of 229 degrees (360 - 131), so:

A = (229/360)π(3 cm)²

A ≈ 17.98 cm²

Therefore, the area of the small sector is approximately 10.28 cm² and the area of the large sector is approximately 17.98 cm².

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