In a learning experiment 4 group of students made the following numbers of correct responses in a series of 10 trials

Answer:

Hope the picture will help you

Answer:

C. y>2x+1

Step-by-step explanation:

The dashed line automatically means it's either A. or C. because a dashed line indicates it is greater than or less than rather than greater than/ equal to or less than/equal to. Those would have a solid line graphed. The line also has a y-intercept or 1 which means C. is obviously the correct answer.

The monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

To calculate the monthly loan payment, we need to use the loan amount, down payment, interest rate, and term.

Loan amount: $60,000

Down payment: $4,000

Principal amount: Loan amount - Down payment = $60,000 - $4,000 = $56,000

Interest rate: 13% per annum (or 0.13 as a decimal)

Monthly interest rate: 13% / 12 = 0.0133 (approx.)

Term: 60 months (5 years)

Now, let's calculate the monthly loan payment using the formula for a fixed-rate loan:

Monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

P = Principal amount

r = Monthly interest rate

n = Total number of payments

Substituting the values into the formula:

Monthly payment = $56,000 * (0.0133 * (1 + 0.0133)^60) / ((1 + 0.0133)^60 - 1)

Using a calculator, the approximate monthly loan payment comes out to be $1,289.49.

Therefore, the monthly loan payment for a $60,000 loan with a $4,000 down payment, 13% interest rate, and a term of 60 months is approximately $1,289.49.

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Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

Step-by-step explanation:

a-b=21

5a-2b=18

Using elimination, we have

5a-5b=105

5a-2b=18

So:

3b=-87 so b=-29

Substituting, a=-8

(a,b)=(-8,-29)

Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

We need to compare their volumes.

We can use the formula:

Density = mass / volume

To solve for volume, we rearrange the formula:

Volume = mass / density

For nickel:

Volume = 130g / 8.90 g/cm³ = 14.61 cm³

For magnesium:

Volume = 60g / 1.78 g/cm³ = 33.71 cm³

Therefore, Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

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According to the given information, the letter that comes next in the given alphanumeric series is "N".

What is alphanumeric series?

An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.

The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.

Therefore, the letter that comes next in the given alphanumeric series is "N".

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The appropriate scale of measurement for an investor collecting data on the weekly closing price of gold throughout the year is:

a. Ratio

A ratio scale of measurement allows for meaningful comparisons of absolute differences between two values and the computation of ratios.

In the scenario of collecting weekly closing price data of gold, values such as "$1,000 per ounce" or "$2,000 per ounce" can be meaningfully compared to determine the ratio of change.

Using the ratio scale of measurement, it is possible to perform various statistical operations, such as mean, median, and standard deviation, which are meaningful and give us insights into the data.

For example, you can calculate the mean closing price for gold over a given period.

Additionally, the ratio scale allows for meaningful comparisons of magnitudes, such as "twice the value" or "half the value." Thus, a ratio scale is the most appropriate measurement scale in this scenario.

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Answer:

Step-by-step explanation:

Answer:

AB  = CD

Step-by-step explanation:

According to the question, data provided is as follows

AB parallel to CD

AC and BD both are perpendicular to AB and CD

Based on the above information, the relationship between AC and BD is

As we know that

Since AC and BD both are perpendicular to AB and CD and these two are parallel. That means they have the same direction as they are parallel

Moreover, in the case of parallel lines, the perpendicular distance between these two lines would remain the same

Therefore

AB  = CD

Answer:

6.25

Step-by-step explanation:

Answer:

Geometric

Step-by-step explanation:

starting point : 800

800 , 1600 , 3200

Good luck .

The net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m is -2.40

Let's start by finding the distance between the electron and each point charge. The distance between the electron and the positive charge at the origin is:

r₁ = 0.200 m

The distance between the electron and the negative charge at x = 0.800 m is:

r₂ = 0.800 m - 0.200 m = 0.600 m

Now we can use Coulomb's law to find the magnitude of the electric force between each point charge and the electron. The force exerted by the positive charge is:

F₁ = k * q₁ * qe / r₁²

where qe is the charge of the electron, which is -1.60 x 10⁻¹⁹ C (negative because it is an electron). Plugging in the values, we get:

F₁ = (9.0 x 10⁹ N*m²/C²) * (4.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.200 m)

F₁ = -1.44 x 10⁻¹⁴ N

The negative sign indicates that the force is attractive, since the electron is negative and the point charge is positive.

Similarly, the force exerted by the negative charge is:

F₂ = k x q₂ x qe / r₂²

Plugging in the values, we get:

F₂ = (9.0 x 10⁹ N*m²/C²) * (-6.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.600 m)²

F₂ = 1.20 x 10⁻¹⁴ N

The positive sign indicates that the force is repulsive, since the electron is negative and the point charge is also negative.

Now we can find the net electric force on the electron by adding the two forces together:

Fnet = F1 + F2

Fnet = (-1.44 x 10⁻¹⁴ N) + (1.20 x 10⁻¹⁴ N)

Fnet = -2.40

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Complete Question:

A 4.00 n C point charge is at the origin, and a second − 6.00 n C point charge is on the x-axis at x = 0.800 m.

Find the net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m.

Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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The angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

We shall evaluate for the angle of elevation θ in degree, and then convert the result to radian as follows:

θ = tan⁻¹(4255/2000)

θ = 64.82482°

we multiply by π/180 to convert to radian;

θ' = 64.82482° × π/180

θ' = 1.13186 rounded to five decimal place.

Therefore, the angle of elevation θ is equal to 1.13186 in radian rounded to five decimal place.

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Answer:

The correct answer is $9,315

Step-by-step explanation:

Solution

Given that:

The ending cash balance = $9340

Checks outstanding amounted to = $865

The deposit in transit = $840

Bank statement service charges = $25

Now,

We will find the correct adjusted ending cash balance which is given below:

Correct adjusted ending cash balance = Unadjusted Balance - Outstanding Check + Deposit in transit

= $9,340 - $865 + $840

=$8,475 + $840

=$9,315

Hence,

The correct adjusted ending cash balance is $9,315

Answer: 8k^2 - 19k + 12

Step-by-step explanation: The way we found this answer was by simplifying the expression.

Step 1 : We want to get (x-2) in the numerator so we could cross it out with the x-2 at the bottom to get our simplified expression.

(8k^3-19k^2+2k+10)/(k-2) = (x-2)(8k^2-17k+5)/(x-2)

You would need to factor out the (x-2)

Step 2: When you cross the (x-2) above with the (x-2) below you end up with 8K^2-17k+5 as the answer.

Answer:

\(8k^2-3k-4+\frac{2}{k-2}\)

Step-by-step explanation:

⭐ See the image I attached to my answer to see the working.

⭐ I recommend you look at the image while following along with the steps to understand the steps.

1. See what multiplies with the first term in the divisor to get the first term in the dividend. Then, put that answer in the quotient space.

2. Under the first term in the dividend, write a - sign and open parentheses. Put the first term inside the parentheses.

3. Multiply what you put in the quotient space from step #1 with the second term in the divisor.

4. Put the product from step #3 inside of the parentheses.

5. Subtract the first two terms in the parentheses from the first two terms in the dividend.

. . . . . . . . . . . . . note: in polynomial division, you will not always subtract two terms. we are subtracting two terms here because there are two terms in the divisor.

6. Write the answer from #5 under the parentheses, and bring down another term from the dividend.

7. See what multiplies with the first term in the dividend to get the answer from #5. Then, put that answer in the quotient space.

8. Under step #6, write a - sign and open parentheses. Put the answer from #5 inside the parentheses.

9. Multiply the answer from #7 with the second term in the divisor.

10. Next to the answer from step #8, write the product of step #9.

11. Subtract the terms from step #10 from step #6.

12. Repeat until you have "brought down" all of the terms from the dividend.

After you are done, your remainder will not be 0. Instead, it will be +2. When you have a remainder that isn't 0, you cannot use the quotient as your answer. Instead, you have to write your answer in this format:

\(q(x)+\frac{r(x)}{d(x)}\), where q(x) is the quotient, r(x) is the remainder, and d(x) is the divisor.

⇒ q(x) = \(8k^2-3k-4\)

⇒ r(x) = +2

⇒ d(x) = k -2

⇒ \(8k^2-3k-4+\frac{2}{k-2}\)

The solution is, the two dimensions  will be 2121.32 by 1414.2.

Here, we have,

let X and Y be the two dimensions.

Area will be X times Y.

XY = 3000000

Y = 3000000 / X

Perimeter = 2x + 3y

substituting the values:

Perimeter = 2x + 3*3000000 / x

               = 2x + 9000000 / x

so, we get,

2 = 9000000 / x^2

x^2 = 9000000 / 2 = 4500000

x = sqrt(4,500,000)

  = 2121.32

  = 1000 sqrt (4.5)

y = 3000000 / 2121.32

  = 1414.2

  = 1000 sqrt(2)

so the dimensions will be 2121.32 by 1414.2 .

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complete question:

A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

The probability is  \(P(k) =0.07843\)

Step-by-step explanation:

From the question we are told that

   The total number of cards is  n  =  52

Generally the number of ace in a standard deck of cards is  k  =  4

Generally the the first card drawn is not an ace so the remaining number of ace after the first card is drawn is  k =  4

also the remaining total number of cards after the first card is drawn is

     N =  n- 1

=>  N =  52 - 1  

=>  N =  51

Generally the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace is mathematically represented as

        \(P(k) =\frac{k}{N}\)

=>      \(P(k) =\frac{4}{51}\)

=>      \(P(k) =0.07843\)

Answer:

76 sq in

Step-by-step explanation:

see attachment

Answer:

  -72030x⁴y +18750y⁵ +102900x³y² -52500xy⁴ +1470x²y +250y³

Step-by-step explanation:

You want to simplify (7x+5y)^3–(7x–5y)^3–30y(7x+5y)(7x–5y)^3.

We recognize that there are some repeated expressions here that may make it easier to simplify this without multiplying it all out.

Let a = 7x+5y, b = 7x -5y. Then the expression becomes ...

  a³ -b³ -30y·a·b³

  = (a³ -b³) -30yb²(ab)

  = (a -b)(a² +ab +b²) -30yb²·ab

Now ...

  a -b = (7x +5y) -(7x -5y) = 10y

  a² +b² +ab = (7x +5y)² +(7x -5y)² +(7x +5y)(7x -5y)

     = (7x)² +2(7x)(5y) +(5y)² +(7x)² -2(7x)(5y) +(5y)² +(7x)² -(5y)²

     = 3(7x)² +(5y)² = 147x² +25y²

So the first pair of terms expands to ...

  a³ -b³ = 10y(147x² +25y²) = 1470x²y +250y³

The last term becomes (with a positive sign) ...

  30yb²(ab) = 30y(7x -5y)²((7x)² -(5y)²)

     = 30y((7x)² -2(7x)(5y) +(5y)²)((7x)² -(5y)²) . . . . see comment below

     = 30y((7x)⁴ -(5y)⁴ -70xy((7x)² -(5y)²))

     = 72030x⁴y -18750y⁵ -102900x³y² +52500xy⁴

Putting it all together gives ...

  = -72030x⁴y +18750y⁵ +102900x³y² -52500xy⁴ +1470x²y +250y³

__

Additional comment

The difference of squares form is used several times here:

  p² -q² = (p -q)(p +q)

The expression ((7x)² -2(7x)(5y) +(5y)²)((7x)² -(5y)²) is decomposed to ...

  ((7x)² +(5y)²)·((7x)² -(5y)²) - 2(7x)(5y)((7x)² -(5y)²)

This lets us use the difference of squares form to simplify at least part of the expression. This whole thing gets multiplied by -30y.

Answer:

d

Step-by-step explanation:

This is point-slope form, and these coordinates make both sides equal to 0.

Answer:

rectangles, squares, diamonds, rhombuses, and trapezoids

Step-by-step explanation:

Your Welcome

Answer:  quadralaterals, pentagons, hexagons, heptagons, occtagons, nonagons, decagons, hendecagon, dodecagon, and so on.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

54 79 100 70 75 56 88

55 78 75 55 72 60 80

55 88 80 85 69 71 60

90 64 77 88 65 102 70

Class____frequency____cumulative frequency

54 - 63_____7_____________7

64 - 73_____7_____________14

74 - 83_____7_____________21

84 - 93_____5_____________26

94 - 103____2_____________28

You can sort the data and can count their frequency and then can form the group with 5 classes based on how many unique observations are there.

The grouped frequency distribution and cumulative frequency distribution is given as

\(\begin{array}{ccc}\text{Class Interval}&\text{Frequency}&\text{C. F.}\\\\54-58&5&5\\59-63&2&5+2=7\\64-68&2&7+2=9\\69-73&5&9+5=14\\74-78&4&18\\79-83&3&21\\84-88&4&25\\89-93&1&26\\94-98&0&26\\99-103&2&28\\\end{array}\)

(although 103 is not included, its just for making 5 sized class)

Suppose you've got frequency distribution for classes as

a, b, c,...

Then the cumulative frequency distribution will calculate sum of all classes' frequency till that class:

a, a+b, a+b+c, ...

You can sort the data and can count their frequency and then can form the group with 5 classes based on how many unique observations are there.

Sorting the data in ascending order gives us

54, 55, 55, 55, 56, 60, 60, 64, 65, 69, 70, 70, 71, 72, 75, 75, 77, 78, 79, 80, 80, 85, 88, 88, 88, 90, 100, 102

Using the given data, forming 5 class sized groups:

\(\begin{array}{ccc}\text{Class Interval}&\text{Frequency}&\text{C. F.}\\\\54-58&5&5\\59-63&2&5+2=7\\64-68&2&7+2=9\\69-73&5&9+5=14\\74-78&4&18\\79-83&3&21\\84-88&4&25\\89-93&1&26\\94-98&0&26\\99-103&2&28\\\end{array}\)

(although 103 is not included, its just for making 5 sized class)

(in second third and fourth row, it is shown how to calculate Cumulative Frequency (CF) )

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Answer:

m, c, and l

Step-by-step explanation: