−(7 − 2x) + 7 = −7
Solve x

The arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.

To find the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years, we need to calculate the average of the given data set.

The data set representing the number of people receiving bachelor's degrees in Journalism for each of the seven years is:

4,033

5,642

6,407

7,753

8,719

11,154

11,121

To find the mean, we sum up all the values and divide by the total number of years (in this case, seven).

Mean = (4,033 + 5,642 + 6,407 + 7,753 + 8,719 + 11,154 + 11,121) / 7

= 54,829 / 7

≈ 7,832.714

Rounding to the nearest whole number, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism over the past seven years is approximately 7,833.

Therefore, the arithmetic mean annual number of people receiving a bachelor's degree in Journalism is about 7,833.

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If a relationship R fulfills the three conditions of being transitive, symmetric, and reflexive, then R is said to be an equivalence relation.

When (a, a) € R for any element a € A, we say that R is reflexive on A.

When (b, a) €R for every (a, b) €R, we say that the relation R on A is symmetric.

If (a.b) € R and (b, c) € R implies (a, c) € R, then R is transitive on A.

If you have an a, you may think of all the components that are equivalent to it as its equivalence class.

A=College buildings

We need to define three sets of things that are the same. For instance:

R1 = "(a, b) Both a and b have the same number of rooms."

R2=(a,b): Both a and b have the same number of floors.

R3=(a,b), which means that both a and b have the same number of windows.

Note: If the statement says that a and b have the same property, the relation is probably an equivalence relation.

The set of all elements that are related to an is its equivalence class.

[a]R1,= {b|b has the same number of rooms as a}

[a]R2 = {b|b has the same number of floors as a}

[a]R3= {b|b has the same number of windows as a}

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The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

your answer will be A)719 units²

Step-by-step explanation:

hope it helps ^_^

Answer:

6

Step-by-step explanation:

we will calculate the prime factors( gcd) of the numbers by matching the biggest comman factor of 24 or 30

Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.

1 ball in each of 3 boxes: 4 ways

3 balls in one box: 4 ways

2 balls in one box and 1 ball in another box: 3*4=12 ways

There are 20 ways to arrange the balls .

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination can also be represented as: –nCr, nCr, C(n,r), Crn

Proof:

nPr = nCr.r!

= [n!/r!(n-r)!].r!

= n!/(n-r)!

Hence the theorem states true.

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

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The length of the segment will be 4.8 units.

What is a chord of a circle ?

Chords of a circle are the line segments which has two endpoints onto the circumference of a circle.A diameter is also a chord which passes through the center of a circle and it it the biggest chord of a given circle.

According to the given data

Here we can see a circle with two intersecting chords.

We know that when two chords inside a circle intersect each other the product of their segments are equal.

The chords given are AC and BD

∴ AE×EC = BE × ED

 6 × 8 = x × 10

10x = 48

    x = 4.8.

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Answer:

1846.32

Step-by-step explanation:

v = 3.14r^2h

3.14 (49)12

1846.32

hope this helps

Answer:

total surface area of cylinder=2πr(r+h)=2π×7(7+12)=14π×19=14×22/7×19=836cm²

Carter needs to ride 3.9 miles per day on an average to meet his target of riding 28.7 miles in a week.

We are given that:

The total number of miles that needs to be ridden by Carter = 28.7 miles

Now, he has already ridden 17 miles this week

So, the miles left to be ridden = 28.7 miles - 17 miles

Number of miles left = 11.7 miles.

Now, he has 3 more days to finish his target.

So, on an average, he should ride:

Average = 11.7 miles / 3 days = 3.8 miles per day

Therefore, Carter needs to ride 3.9 miles per day on an average to meet his target of riding 28.7 miles in a week.

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The option that follows is c .

The between-group estimate for calculating the degrees of freedom in ANOVA is calculated using the formula k - 1, where k represents the number of groups or treatments being compared.

This estimate represents the variability between the group means and is used in the F-ratio calculation to determine if the differences between the groups are significant.

When conducting ANOVA, the between-group estimate is an important factor in determining the degrees of freedom. This estimate represents the variability between the group means and is used to calculate the F-ratio, which determines if the differences between the groups are significant. The between-group estimate is calculated using the formula k - 1, where k represents the number of groups being compared. This formula is used because the estimate is based on the number of independent sources of variation between the groups. By accurately calculating the degrees of freedom, researchers can determine if the differences between the groups are statistically significant.

The between-group estimate for calculating the degrees of freedom in ANOVA is crucial for determining the statistical significance of differences between groups. It is calculated using the formula k - 1, where k represents the number of groups being compared. This estimate represents the variability between the group means and is used in the F-ratio calculation. Accurately calculating the degrees of freedom is essential in conducting valid ANOVA analyses.

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The value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

What is a Normal distribution in statistics?

Data in a normal distribution are symmetrically distributed and have no skew. The majority of values cluster around a central region, with values decreasing as one moves away from the center. In a normal distribution, the measures of central tendency (mean, mode, and median) are all the same.

Given data:

X: height of seaweed.

       X~N (μ;σ²)

       μ= 10 cm

       σ= 2 cm

We have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

              P(X ≤ x) = 0.30

              P(X ≥ x) = 0.70

Now by using the standard normal distribution,

we have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then use the formula

        Z = (X - μ)/σ

translates the Z value to the corresponding X value.

           P(Z ≤ z) = 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

                  z= -0.52

Now you have to clear the value of X:

        Z= (X - μ)/σ

        X= (Z * σ) + μ

       X = (-0.52 * 2) + 10

         = 8.96

hence, the value of seaweed height that divides the bottom 30%  from the top 70% is 8.96 cm.

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A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

Answer:

---------------------

Use the formula:

where θ is the central angle in degrees, r is the radius

We have:

Substituting the given values, we get:

Therefore, the length of the arc is 14π cm.

Answer:

x = 7

Step-by-step explanation:

8x - 6x = 2 + 12

2x = 14

2/2 x = 14/2

x = 7

Answer: Research

Step-by-step explanation:

Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

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The expression that is equal to 1 + cos x is  2 cos x. Therefore, option B) 2 cos x is the correct answer.

Given expression is 1 + cos x.

To find the equivalent expression, use trigonometric identities. The identity that can be used here is:

1 - cos²x = sin²x

We need to convert 1 + cos x in a form of 1 - cos²x so that we can easily solve the expression.

1 + cos x= 1 + cos x + cos²x - cos²x= (1 + 2cos x + cos²x) - cos²x= (cos x + 1)² - cos²x

Simplify this expression we get (cos x + 1)² - cos²x = 2 cos x + 1

Thus the equivalent expression is 2 cos x + 1.

Therefore, option B) 2 cos x is the correct answer.

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After solving the given expression → F = - m + B/q³  for  [B], we get -

B = q³(F + M).

We have the following equation -

F = - m + B/q³

We have the following equation -

F = - m + B/q³

On solving for [B], we get -

F + M = B/q³

B = q³(F + M)

Therefore, the given expression after solving for [B], we get -

B = q³(F + M).

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Answer: Tariq sold 12 cards.

Step-by-step explanation:

    First, a percent divided by 100 becomes a decimal.

2% / 100 = 0.02

    Next, we need to find 2% of 600 cards. In mathematics, "of" means multiplication. We will multiply.

0.02 * 600 cards = 12 cards

         Tariq sold 12 cards.

Answer:

I'm pretty sure the answer is A.

Step-by-step explanation:

Since 90 plus 9 = 99 and 99 is the tens and ones place.

So, the answer should be A.

Hope this helps! :)

90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

Given that,
To determine the equation correctly compare the tens place and one's place in 9,999.

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the number 9999,
let the number on the ten places be x times the number on unit place,
90 = x * 9
x = 90 / 9
x = 10

Now,
90 / 9 = 10

Thus, 90 / 9 = 10 compares the tens place and one's place in 9,999. Option A is correct.

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Answer:

HEy, dont every do tht

Step-by-step explanation:

Answer:

The value of X is 72

Step-by-step explanation:

corresponding angles

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

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Answer:

was

And it's a linking verb

Answer:

n is equal to -3

Step-by-step explanation:

11n - 11 + 35 = 3n

11n + 24 = 3n

11n - 3n = -24

8n = -24

n =-3

Answer:

n is equal to -3

Step-by-step explanation:

.

In conclusion  there are no points among the given options that are on the parabola.

why it is?

The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:

(x - h)²2 = 4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).

Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:

(x - 6)²2 = 4(y - 3)

Now we can check which of the given points satisfy this equation:

A. (4, 6)

(4 - 6)²2 = 4(6 - 3)

4 = 12 - 12

This point is not on the parabola.

B. (5, 7)

(5 - 6)²2 = 4(7 - 3)

1 = 16

This point is not on the parabola.

C. (6, 5)

(6 - 6)²2 = 4(5 - 3)

0 = 8

This point is not on the parabola.

D. (7, 6)

(7 - 6)²2 = 4(6 - 3)

1 = 12

This point is not on the parabola.

E. (8, 5)

(8 - 6)²2 = 4(5 - 3)

4 = 8

This point is not on the parabola.

Therefore, there are no points among the given options that are on the parabola.

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Complete question:

Which points are on the parabola defined as the set of points the same distance from (6,2) and the line y=4?

The minimum score required for a letter of recognition is approximately 28.1 (rounded to one decimal place).

The minimal rating required for a letter of recognition, we want to locate the rating that corresponds to the pinnacle 11% of the distribution.

The z-score that corresponds to the pinnacle 11% of the distribution.

A trendy everyday distribution desk or calculator to discover this value:

P(Z > z) = 0.11

From the table, we discover that the z-score that corresponds to a cumulative likelihood of 0.11 is about 1.22.

Next, we can use the formulation for standardizing a score:

z = (x - μ) / σ

Rearranging this formula, we can remedy for x:

x = z × σ + μ

Substituting the values given in the problem, we get:

x = 1.22 × 5.3 + 21.3

x = 28.066

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The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer:

5^-2.5^-1

5^-2-1

5^-3

1/125

The formula for the exponential function giving the balance in your account as a function of time, in years, since your initial investment is B(t) = 500 * (1 + 0.035)^t.

where B(t) represents the balance in the account after t years.

In this scenario, the initial investment is $500, and the yearly interest rate is 3.5%. To determine the balance in the account after a certain number of years, we use the formula for compound interest.

The general formula for compound interest is given by B(t) = P * (1 + r)^t, where B(t) is the balance after t years, P is the principal (initial investment), r is the interest rate (expressed as a decimal), and t is the time in years.

In this case, the principal (initial investment) is $500, and the interest rate is 3.5% or 0.035 as a decimal.

Therefore, the formula for the balance in the account becomes B(t) = 500 * (1 + 0.035)^t.

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