Gary has a bag that contains 2 7/16 cubic feet of mulch. If he uses 8/9 of the bag of mulch how much did he use? Write the answer as a fraction.

Answer:

15x = 15x

or

0 = 0

Step-by-step explanation:

21(x + 1) - 6x = 15x + 21

21x + 21 -6x = 15x + 21

21x - 6x = 15x

15x = 15x

or

0 = 0

this equation is always true

The difference between the means of the two data sets is 4.

Statistical measures are used to describe, analyze, and interpret data. There are several measures that are commonly used in statistics, such as mean, median, mode, standard deviation, etc.

The mean, also known as the average, is the sum of all the values in a dataset divided by the total number of values. It represents the central tendency of the data.

The difference between the means of the two data sets is:

difference between the means = (Class 2 mean) - (Class 1 mean)

difference between the means = 24 - 20 = 4

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Choice G.

Out of sense, A and C are correct. Choice D seems more logical. For students studying medicine, that doesn’t mean they need a medical license.

Hope this helps! And mark this “brainliest!”

False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.

Even Number of Observations :

Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?

wages are 120,240,500,400

we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and

(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.

Therefore, the median is 240+500/2

= 370.

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Complete question

True/false

if the number of data observations is even, the median is generally considered to be the average of the first and last values

Answer:

I think this is right lol

Step-by-step explanation:

f(x)=49+x

The argument  using the components of the non zero vectors which are not parallel are as follow, sa1 + tb1 = c1

sa2 + tb2 = c2

sa3 + tb3 = c3

Geometric argument,

a and b are nonzero vectors that are not parallel.

A plane in three-dimensional space.

Any vector in this plane can be written as a linear combination of a and b.

Let c be any vector in this plane.

Construct a parallelogram with sides a and b, and the diagonal of the parallelogram passing through the point c.

This diagonal is the vector c written as a linear combination of a and b, say c = sa + tb for some scalars s and t.

Diagonal of a parallelogram bisects and is bisected by its opposite sides.

c lies on the line passing through the midpoints of a and b.

c can be expressed as a linear combination of a and b.

Argument using components,

a and b are nonzero vectors that are not parallel, they are linearly independent.

Any vector in the plane determined by a and b can be expressed as a linear combination of a and b.

Let c = (c1, c2, c3) be any vector in this plane.

Now, c as c = sa + tb, where s and t are scalars to be determined.

Writing a and b in terms of their components, we have,

a = (a1, a2, a3) and b = (b1, b2, b3)

Then, we can write c as,

c = (s a1 + t b1, s a2 + t b2, s a3 + t b3)

Values of s and t such that c has the components (c1, c2, c3).

Equating the components of c with those of (c1, c2, c3), to get the system of equations,

sa1 + tb1 = c1

sa2 + tb2 = c2

sa3 + tb3 = c3

Therefore, solution of the argument of non zero vectors solved using standard techniques such as Gaussian elimination or Cramer's rule.

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The above question is incomplete, I answer the question in general according to my knowledge:

Suppose that a and b are nonzero vectors that are not parallel and c is any vector in the plane determined by a and b. Give a geometric argument to show that c can be written as c=sa +tb for suitable scalars s and t. Then give an argument using components.

Answer:

D. Quadrant IV

On the coordinate plane, you would go to the right two points, and then down 6, leading to quadrant IV

Answer:

y=−3x−22

Step-by-step explanation

To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)

If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.

Given, number of students name put into the hat = 20

total number of freshmen in the class = 12

total number of sophomore in the class = 6

total number of juniors in the class = 2

we are asked to determine the probability that the sophomore will be selected the second day also = ?

Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.

from the given data,

n(s) = 20

n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.

⇒ P(A) = n(A)/n(s)

P(A) = 6/20

P(A) = 3/10

hence the probability that the another day again a sophomore will be chosen is 3/10.

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the equation is:

now we can add 3 units in bout sides of the equation so:

and finally we can multiply the equation -1 so:

Area of the larger square: (4 cm) * (4 cm) = 16 cm^2

Area of the smaller square: (2 cm) * (2 cm) = 4 cm^2

Area of the shaded region = difference between the two areas above, or 12 cm^2

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

use miss r sir hope I helped you

See explanation below

y/3 - x/6 = -2

Writing the above equation in the form y = mx + c

To solve the equation by graphing, we need to assign values to x to get the corresponding values of y:

let x= 0, 2, 4

when x = 0

y = -1/2(0) - 6 = 0 -6

y = -6

when x = 2

y = -1/2(2) - 6 = -1 -6

y = -7

when x = 4

y = -1/2(4) - 6 = -4/2 - 6 = -2 - 6

y = -8

Plotting the values of x against y:

The y intercept is the point the x coordinate is zero. From the graph, it is at y = -6

The x intercept is the point the y coordinate is zero. From the graph, it is at x = 4

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

The best estimate for the pigeon population is 540.

Finding an estimate or approximation—a value that may be used for a purpose despite the possibility of incomplete, ambiguous, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Counting a small sample of something and extrapolating that number to a wider population is how estimation is frequently done. Calculating how many sweets of a certain size are contained in a glass jar is an example of estimation.

380 x 27/19

= 540

So the answer is

540

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Answer:

one

Step-by-step explanation:

Answer:

22+7a+3d

Step-by-step explanation:

|| is absolute value so taking those away would make everything positive.

22+7a+3d

there is no way to simplify it any more because there is no equal sign and no other variables

i hope this helped :)

Answer:

The smaller number is 4√2 and the larger number is (4√2 + 1).

Step-by-step explanation:

Let the two numbers be x and y, where y is the larger of the two numbers.

Since y is the larger number, it is one more than the smaller number. So:

\(y=x+1\)

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

\(-2x+y^2=33\)

Substitute:

\(-2x+(x+1)^2=33\)

Solve for x. Square:

\(-2x+(x^2+2x+1)=33\)

Simplify:

\(x^2+1=33\)

Subtract one from both sides:

\(x^2=32\)

And take the square root of both sides:

\(x=\pm\sqrt{32}=\pm 4\sqrt{2}\)

Since y is positive, we can ignore the negative case. So, the smaller number is:

\(x=4\sqrt{2}\approx5.66\)

And the larger number is:

\(y = 4\sqrt{2} + 1 \approx6.66\)

There are six ways in which the word FOOT may be spelt starting at any letter.

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 *  1

4C2 = 12/2

4C2 = 6

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The angle of elevation of the ramp to doorway of a building to the ground is found as 11°.

The ramp is the hypotenuse of a right angle triangle formed by the doorway, the ground, and the ramp.

The ramp's elevation angle is the angle Ф it makes with the ground.

Apply the tan function;

Tan Ф = length of doorway/ distance along ramp of building

Tan Ф = 1/5

Ф = 11°

Thus, the angle of elevation of the ramp to doorway of a building to the ground is found as 11°.

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Answer:

To find the sine of angle K in triangle JKL, we can use the formula:

sin(K) = opposite/hypotenuse

In this case, side JL is the hypotenuse and side LK is the opposite side of angle K.

Using the Pythagorean theorem, we can find the length of side JL:

JL^2 = LK^2 + KJ^2

JL^2 = 65^2 + 97^2

JL^2 = 16,690 + 9,409

JL^2 = 26,099

JL = √26,099

JL ≈ 161.54

Now we can find the sine of angle K:

sin(K) = opposite/hypotenuse

sin(K) = LK/JL

sin(K) = 65/161.54

sin(K) ≈ 0.402

Therefore, the sine of angle K in triangle JKL is approximately 0.40 when rounded to the nearest hundredth.

The value of sin of ∠k is 0.74.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,
We can use the sine function to find the value of sin(∠K).

sin(∠K) = opposite/hypotenuse

In ΔJKL,

The hypotenuse is Jk, which is 97.

The opposite side of ∠K is LJ, which is 72.

Therefore.

sin(∠K)

= JL/KJ

= 72/97

= 0.74

Thus,

The value of sin of ∠k is 0.74.

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There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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Answer:

Cluster sample

Step-by-step explanation:

i did it before

the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.

Actual velocity vector = 380 mph [14.6° east of south]

Actual speed = 380 mph

Actual direction = 14.6° east of south

The actual velocity of the plane can be determined by subtracting the velocity of the tail wind (80 mph) from the initial velocity of the plane (460 mph). This gives us a result of 380 mph. To calculate the direction of the actual velocity, we need to subtract the direction of the tail wind (20 degrees west of south) from the direction of the initial velocity of the plane (10 degrees east of south). This gives us a result of 14.6° east of south. Therefore, the actual velocity of the plane is 380 mph [14.6° east of south], and the actual speed and direction of the plane are 380 mph and 14.6° east of south respectively.

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Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

Answer:

B. -18

Step-by-step explanation:

In order to find the fourth term of the sequence, first find second term, next, third term and finally fourth term.

\(a_n = - 6 + a_{(n - 1)} \\ \\ \implies \: a_2 = - 6 + a_{(2 - 1)} = - 6 + a_1 = - 6 + 0 \\ \\ \implies \: \pink{a_2 = - 6} \\ \\\: a_3 = - 6 + a_{(3 - 1)} = - 6 + a_2 = - 6 + ( - 6) \\ \\ \implies \: \purple{ a_3 = - 12}\\ \\\: a_4= - 6 + a_{(4 - 1)} = - 6 + a_3 = - 6 + ( - 12) \\ \\ \implies \: \huge { \red{a_4 = - 18}}\)

Another way:

\(a_1=0\)

\(a_2=-6\)(Calculated above)

\(a_3=-6+a_2=-6-6=-12\)

\(a_4=-6+a_3=-6-12=-18\)