Which is right for the answer, I don’t really have a lot of time left.

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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Answer:

Y=2, E=9, A=1, R=0

Step-by-step explanation:

1000Y+100Y+10Y+Y-100E-10E-E+10A+A-R=1234

1111Y-111E+11A-1R=1234

Y cannot be 1, and it cannot be greater than 2, since the other digits could not possibly make it add up to 1234. This means that Y must be 2:

2222-111E+11A-R=1234

In this case, E would have to be 9 to make it possible for this to have a solution, by bringing it down to 1223.

1223+11A-R=1234

1223+11=1234, meaning that A must be 1 and that R must be 0. Hope this helps!

Answer:

The values of Y, E, A, R are "2, 9, 1, 0"

Step-by-step explanation:

The given equation is:

⇒  YYYY-EEE+AA-R=1234

Let the values,

Y=2

E =9

A =1

R =0

On substituting the estimated values in the L.H.S of the given equation, we get

⇒ 2222 - 999 + 11 - 0

⇒  1223 + 11

⇒  1234 i.e.. R.H.S

so ig Y.E.A.R will be 2 9 1 and 0

Since we have that BD is the median, it divides the segment or side of the triangle into two equal parts. Then, we have that:

Then, we need to solve the equation for x, and to do so, we need to:

1. Subtract 2x, and 10 from both equations:

2. Since we have like terms, then we have:

In the previous step, we divide both sides of the equation by 4 and then simplify the resulting fraction.

Hence, the value for x = 1/2. The length of AC is the sum of AD + CD or twice the value of one of them:

Therefore, the length of AC is

AC = 26 units.

The values In wxyz are mathematically given as

W=4

y=5

X=0

Let the equation for the number be: wxyz.

Generally, the equation for is  mathematically given as

z+y=7 ......1

y=2+3 .......2

solving further

z+3+z-7

2z 7-3

z=2

Putting the value of z Within the second equation:

y=z+3 y=2+3

y=5

1. The digit in the thousands place of my number is 4, and

2. The digit in the hundreds place is four fewer than the digit in the thousands place.

W=4

X=w-4

x=4-4

X=0

In conclusion, the values In wxyz are

W=4

y=5

X=0

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Answer:

k = -3

Step-by-step explanation:

Given

Variation: Direct

y = -15 when x = 5

Required

Find the constant of variation

A direct variation is represented as:

y = kx

Where

k = constant of variation

Substitute values for x and y

-15 = k * 5

Multiply both sides by ⅕

⅕ * -15 = k * ⅕ * 5

-3 = k * 1

-3 = k

k = -3

Hence, the constant of variation is -3

Answer:

the median value of the given data set is 30

Step-by-step explanation:

The computation of the median value is as follows:

27,28,28,29,29,29,30,30,30,31,31,31,33,34

There are 14 entries

So the mid value is 30

Hence the median value of the given data set is 30

Answer:

30

Step-by-step explanation:

Answer:

The answer is 24

Step-by-step explanation:

Each quart contains 4 cups of soup. So, one gallon of soup contains 16 cups of soup. Therefore, 1 1/2 gallons of soup contains 16+8 = 24 cups. Therefore, the chef can serve 1 1/2 gallons of soup as 24 one-cup servings.

Answer:

The first 10 multiples of 38 are 38, 76, 114, 152, 190, 228, 266, 304, 342 and 380.

Answer: a) The probability of matching the first five selected numbers to the later five numbers drawn is given by the formula:

P = (C(69,5) / C(69,5)) * (C(5,5) / C(26,1))

where C(n,r) is the number of combinations of n items taken r at a time. The first term in the product represents the number of ways to choose the first five numbers from the pool of 69, and the second term represents the probability of choosing the correct number from the second set of 26 numbers.

Simplifying the expression, we get:

P = (1) * (1/26) = 1/26

Therefore, the probability of matching the first five selected numbers to the later five numbers drawn is 1/26.

b) The probability of matching the sixth selected number to the later number drawn from the second set is given by:

P = C(1,1) / C(26,1) = 1/26

Therefore, the probability of matching the sixth selected number to the later number drawn is 1/26.

c) The probability of winning the jackpot is the product of the probabilities of matching the first five selected numbers to the later five numbers drawn and matching the sixth selected number to the later number drawn. Using the results from parts (a) and (b), we get:

P = (1/26) * (1/26) = 1/676

Therefore, the probability of winning the jackpot is 1 in 676.

Step-by-step explanation:

Answer:

A, I think

Step-by-step explanation:

\(\large\rm\color{Yellow}Answer:\)

The objective function is. Z=6x+4y

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The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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The equation of the relationship is f(200) = 0.75 * 200

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

Total number of drinks = 200

Cost of each drink = 0.75

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

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

Substitute the known values in the above equation, so, we have the following representation

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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The length of the side JH in the triangle ΔHIJ is 97.9.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are H, I, and J. The triangles ΔEFG and ΔHIJ are similar to each other. The lengths of the sides FG, GE, and IJ are 12, 25, and 47, respectively. We need to find the length of the side, JH. The figure of the triangles is attached below.

Let the length of the side JH in the triangle ΔHIJ be represented by the variable "x". The side IJ is proportional to the side FG. Let the constant of proportionality be "k".

IJ ∝ FG

IJ = k*FG

k = IJ/FG

k = 47/12

The side JH is proportional to the side GE.

JH = k*GE

x = (47/12)*25

x = 97.9

Hence, the length of the side JH is 97.9 units.

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According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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Answer:

True

Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

-2x – (-6x) + 4 = 3x – (-2) +1-(-3)

= -2x + 6x + 4 = 3x + 2 + 1 + 3

= -2x + 6x - 3x = 2 + 1 + 3 - 4

= 4x - 3x = 3 - 1

= x = 2 ANSWER

HOPE THIS HELPS :)

The solution of the simultaneous equations is given by: x=0.60 and

y = 0.80 .

A system of equations or simultaneous equations, usually referred to as an equation system, is a collection of finite equations for which common solutions are sought.

The given pair of simultaneous equations are:

6 x + 8 y = 10

9 x + 6 y = 10.20

Now let us multiply the first equation by 6 and the second equation by 8 and subtract it from the first.

   36 x + 48 y = 60

   72 x + 48 y = 81.60

⇒ 36 x  = 21.60

⇒ x = 21.60 ÷ 36

⇒ x = 0.60

Substituting the value in the first equation we get:

y= 0.80.

Hence the solution of the simultaneous equation is x=0.60 and

y = 0.80 .

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If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Answer:

$33.25

this is your answer because you multiply $4.75 times 7 friends and get a total of $33.25

The inverse of the function f(x) = 9x²- 12 is p(x) = √(x + 12)/9

Given that the domain of a function f is restricted to x ≥ 0, we need to find the inverse of the function

f(x) = 9x²- 12 for x ≥ 0.

To find the inverse of the function, we proceed as follows.

f(x) = 9x²- 12

Let f(x) = y

So, we have that

y = 9x²- 12

Adding 12 to both sides of the equation, we have that

y + 12 = 9x²- 12 + 12

y + 12 = 9x²

Dividing both sides by 9, we have that

(y + 12)/9 = 9x²/9

(y + 12)/9 = x²

Taking square root of both sides, we have that

√x² = √(y + 12)/9

x = √(y + 12)/9

Now, replacing x with y, we have that

x = √(y + 12)/9

y = √(x + 12)/9

Replacing y with f⁻¹(x), we have that

f⁻¹(x) = √(x + 12)/9

So, the inverse is p(x) = √(x + 12)/9

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Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

Answer:

$514 give or take.  I could be wrong so you might want some confirmation on my answer before putting it on your test or what ever you need it for because i'm only in Middle School.

Step-by-step explanation:

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer: \(35x < 4-5x+3x^2\) is \(x < \frac{1}{3}\) or \(x > \frac{4}{3}\)

Step-by-step explanation:

A) To generate the table of values, we can substitute different values of x into the equation and solve for y.

x             y

-2        26

-1        12

0         4

1         2

2        10

To plot the graph of the function, we can use the table of values and plot the corresponding points on a graph with a scale of 4 for the y-axis and 2cm to 1 unit along the x-axis. The graph should look like a parabola opening upwards.

c) To solve for the root of the equation 4-5x+3x^2=0, we can use the graph and find the x-coordinate of the point where the graph intersects the x-axis. This point is also known as the x-intercept or the root of the equation. From the graph, we can see that the root is approximately x=0.83.

To solve the equation 3x^2 -5x=2, we can rearrange it to the form 3x^2 -5x-2=0 and factor it as (3x+1)(x-2)=0. This gives us two solutions: x=-1/3 and x=2.

To determine the range of values of x for which 35x​<4-5x+3x^2, we can rearrange the inequality to the form 3x^2-40x+4>0 and factor it as (3x-1)(x-4/3)>0. This means that either (3x-1) and (x-4/3) are both positive or both negative.

When (3x-1)>0 and (x-4/3)>0, we get x>1/3 and x>4/3, which means x>4/3.

When (3x-1)<0 and (x-4/3)<0, we get x<1/3 and x<4/3, which means x<1/3.

Therefore, the range of values of x for which 35x<4-5x+3x^2 is x<1/3 or x>4/3.

Answer:

The product of 3\(\sqrt{8}\) (4 \(\sqrt{3}\)) is 24\(\sqrt{6}\)

The answer is A.

(a) Y is a random variable that is independent of X and E.

(b) The variance of Y cannot be calculated

(a) If X and E are independent random variables and Y = 8 + 4X + E, then Y is a linear combination of X and E:

Y = 8 + 4X + E = c + 4X + (E - c)

where c is a fixed number. As a result, Y is a random variable that is independent of X and E.

(b) If X and E are not independent and E = U, a random variable independent of X, then Y may be written as follows:

Y = 8 + 4X + U

As a result, Y is a random variable that is a function of X and U but is not independent of X and U. To calculate the variance of Y, we require the covariance between X and U as well as the variances of X and U. The variance of Y cannot be calculated without furthur information.

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