A student showed their work when dividing fractions. Explain their errors and find the correct solution!
6 \ 3/4=6/1x3/4
=18/4
4 2/4 or 4 1/2

Step-by-step explanation:

To find the quartile, decile, and percentile for the given dataset, we need to first organize the data in ascending order:

63.0, 63.4, 63.7, 64.2, 64.3, 69.1, 75.3, 81.6, 82.2, 82.9, 83.4, 84.2, 84.6, 84.6, 87.0

Now, we can use the following formulas to find the quartile, decile, and percentile:

Quartile: A quartile is a type of quantile that divides the dataset into four equal parts. To find the quartile, we can use the following formulas:

Q1 (first quartile): (n+1)/4th term

Q2 (second quartile or median): (n+1)/2nd term

Q3 (third quartile): 3(n+1)/4th term

Using the above formulas and the given data, we get:

Q1 = (15+1)/4 = 4th term = 64.3

Q2 = (15+1)/2 = 8th term = 81.6

Q3 = 3(15+1)/4 = 12th term = 84.2

Decile: A decile is a type of quantile that divides the dataset into ten equal parts. To find the decile, we can use the following formula:

D(n) = (n+1)/10th term, where n = 1, 2, ..., 9

Using the above formula and the given data, we get:

D1 = (15+1)/10 = 1.6th term = 63.4

D2 = 3.6th term = 64.2

D3 = 5.6th term = 69.1

D4 = 7.6th term = 81.6

D5 = 9.6th term = 82.9

D6 = 11.6th term = 84.2

D7 = 13.6th term = 84.6

D8 = 15.6th term = 87.0

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Our conclusion shows that A and B are not independent events. Note: The multiplication property does not hold for the given values.

Given, P(A) = 0.6 and P(B) = 0.4

P(A∩B) = 0.3

Note: Our claim is that by using definition of independence and then, by verifying that multiplication property does not hold.

A , B are independent if P(A/B) = P(A)

P(A/B) = P(A∩B) / (P(B)

P(A/B) = 0.3/0.4

P(A/B) = 0.75

P(A/B)≠P(B). Hence, A and B are dependent events.

A and B are independent if P(A∩B) = P(A) P(B)

Hence, P(A∩B) ≠ P(A) P(B). Therefore, A and B are not independent events.

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Answer:

Step-by-step explanation:

rost beef 30-4=22

22-6=16

16-3=13

turky 13-3=10

          10-4=6

           6-6=0

Answer:

1/4 3/4  4/3

Step-by-step explanation:

Answer:

3/10, 5/20, 7/20

I hope this helps!

Answer:

The answer is 25 + 11

Step-by-step explanation:

Hope this helps

Answer:

x = 3.8

Explanation:

−2.7 (x−1.4)=−6.48

(−2.7)x + (−2.7)(−1.4) = −6.48

−2.7x+3.78= −6.48

-2.7x = −6.48 - 3.78  ....changing sides, turns + integer to -

-2.7x = -10.26

x = -10.26/ -2.7  ....changing sides, turns * integer to /

x = 3.8

Answer:

51 Adult tickets were sold that day.

Step-by-step explanation:

Let c = child and a = adult

c + a = 148                      5.50c + 9.00a = 992.50

Change the first equation so that it is either in the form c = or a =and then plug that number into the second equation.

I am going to change the first equation to c = by subtracting a from both sides

c = 148 - a

Now I am going to plug 148 -a for c in the second equation.

5.5(148 - a) + 9a = 992.5 Next distribute the 5.5

814 - 5.5a + 9 a = 992.5 Add the a terms together

814 + 3.5a = 992.5 Subtract 814 from both sides

3.5a = 178.5  Divide both sides by 3.5

a = 51

Hey

terms are

9k , 7 , k , 4

the variable is

k

coefficients are

9 , -1

Answer:

the answer isn't part of non of the above the answer is -1.5

Step-by-step explanation:

Mark this as brainlest

Answer:

4.5

Step-by-step explanation:

I am assuming s3 means s raised to the 3 power.  I hope that is the correct assumption.  If you plug in the values for s and t you will get this equation:

-3[5 - (2)(2)(2)] + 3(-1.5) you can simplify this more

-3[5 - 8] + (-4.5)  and even further

-3[-3] + (-4.5)

negative 3 times negative 3 equals positive 9

adding a negative 4.5 is the same as just subtracting 4.5 so now it looks like this:

9 - 4.5 which equals 4.5

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Starting from

\(f(x)=\dfrac14(x+1)^{\frac83}-4(x+1)^{\frac23}\)

take the first derivative using the power and chain rules:

\(f'(x)=\dfrac83\cdot\dfrac14(x+1)^{\frac83-1}-\dfrac23\cdot4(x+1)^{\frac23-1}\)

\(f'(x)=\dfrac23(x+1)^{\frac53}-\dfrac83(x+1)^{-\frac13}\)

Now take the second derivative:

\(f''(x)=\dfrac53\cdot\dfrac23(x+1)^{\frac53-1}-\left(-\dfrac13\right)\cdot\dfrac83(x+1)^{-\frac13-1}\)

\(f''(x)=\boxed{\dfrac{10}9(x+1)^{\frac23}+\dfrac89(x+1)^{-\frac43}}\)

Optionally, you can condense the second derivative a bit by factoring out \(\frac89(x+1)^{-\frac43}\), which gives

\(f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^{\frac63}+1\right)\)

\(f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^2+1\right)\)

\(f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80x^2+160x+81\right)\)

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!

Answer:

A = 1.16d

Step-by-step explanation:

Multiplying by 1 + the percentage value is equivalent to adding the percentage.

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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X = 1 4 5 6

Y = 20 8 4 0

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

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Answer:

½a - 4 = ? ( a - ?)

1a - 8 = -7a ( a - ?)

= ( a- 7a)

= ( -6a)

First, We have to identify the coordinates of U, which are ( 0 (x-Axis), -4 (Y-Axis) ) then we must add 4 units in x-Axis coordinate and 4 units in y-Axis coordinate.

So, the answer would be. ( 0+4,-4+4=0) . (4,0) D.

Answer:

(x+7)(x+12)

Step-by-step explanation:

Hope this helps and have a great day!!!!

x=5

steps

they are vertical angles

they are equal

4x+90=110

4x=20

x=5

Answer:

Step-by-step explanation:

9900

Let's complete the given list of incomplete equation:

The least number of packages of plates and packages of spoons she should order to have equal number of plates and spoon is 4 and 3 respectively.

LCM is the abbreviated form for Least Common Multiple. LCM of two or more numbers is the lowest of all the common multiples of them.

Given that,

Plates are sold in packages of 9

Spoons are sold in packages of 12

Let x be the number of packages of plate.

Let y be the number of packages of spoon.

Total number of plates in x packages = 9x

Total number of spoons in y packages = 12y

9x = 12y

We have to find the least common multiple of 9 and 12.

Multiples of 9 = 9, 18, 27, 36, 45, ......

Multiples of 12 = 12, 24, 36, 48, ......

Lest common multiple of 9 and 12 = 36

9 × 4 = 36 and 12 × 3 = 36

Hence the number of packages of plate is 4 and the number of packages of spoons is 3.

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Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

k= -1 ik because I just calculated it

Answer:

k = -1

Step-by-step explanation:

Since subtracting a negative is the same as adding, we can rewrite this as k + 5/6 = -1/6. Now we can subtract 5/6 from both sides, leaving us with k = -6/6 or k = 1.

Answer:

C

Step-by-step explanation:

y = 8*n    n = 6

y = 8*6

y = 48

C.

Answer: To calculate the mean weekly earnings for each occupation in 2010, we need to add up the weekly earnings for each occupation and divide by the number of occupations.

For Forestry, logging and support:

Mean weekly earnings = (971) / (1) = $971

For Manufacturing:

Mean weekly earnings = (977) / (1) = $977

For Transportation and warehousing:

Mean weekly earnings = (900) / (1) = $900

For Construction:

Mean weekly earnings = (1071) / (1) = $1071

For Retail trade:

Mean weekly earnings = (501) / (1) = $501

Therefore, the mean weekly earnings for workers in the listed occupations in 2010 are:

Forestry, logging and support: $971

Manufacturing: $977

Transportation and warehousing: $900

Construction: $1071

Retail trade: $501

Step-by-step explanation:

Answer: 1, 3

For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.