Four more than the quotient of a number and 5 is equal to 2 . Use the variable w for the unknown number.

Answer:

x = 8 - 3y - 2z

Step-by-step explanation:

Step-by-step explanation:

x + 3y + 2z = 8

3x + y + 3z = -10

-2x - 2y - z = 10

we solve this by eliminating variables or expressing sine variables by others, and then solve for the remaining one. with that value we then cancer back to solve for the other variables.

in our case the easiest way is the elimination via combinations of equations.

let's first multiply equating 1 by -3 and then add that to equation 2 :

-3x - 9y - 6z = -24

3x + y + 3z = -10

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

0 - 8y - 3z = -34

8y + 3z = 34

then multiply equation 1 by 2 and add it to equation 3 :

2x + 6y + 4z = 16

-2x - 2y - z = 10

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

0 4y + 3z = 26

now we subtract this result from the previous result :

8y + 3z = 34

- 4y + 3z = 26

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

4y 0 = 8

y = 8/4 = 2

4×2 + 3z = 26

3z = 18

z = 18/3 = 6

x + 3×2 + 2×6 = 8

x = -10

so,

x = -10

y = 2

z = 6

The institution anticipates having 2158 students who can speak three or more languages.

The two ratios given are equivalent to one another, as demonstrated by the proportional equation. The percentage expresses the equality of something like the two ratios as well as fractions.

Comparing two integers that each stand for a component of a whole results in a percentage. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10.

[tex]\frac{x}{32370}=\frac{12}{180}[/tex]

[tex]{x} = \frac{12}{180}\times32370\\{x}=2158[/tex]

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By using line of best fit, the time for a trip of 6 miles long is 11.96 minutes.

A line of best fit is a graphical representation of straight line which gives  the best approximation of the given data set.

A taxi driver records the time required to complete various and the distance for each trip.

The best-given fit line by the equation y=0.467x + 0.417.---(1)

where y represents the distance miles, and x represents the time for the trip in minutes.

To find the time for a 6 miles:

i.e., substitute y=6 in the equation(1)

6=0.467x+0.417

⇒x=11.96 minutes.

Hence, by using line of best fit, the time for a trip of 6 miles long is 11.96 minutes.

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Answer: More green squares. Also 3 blue squares on the rug.

Step-by-step explanation:

The question said the rug is a rectangle. There are also 8 squares on the rug. 4 squares are already taken by green squares. Proof of this is in the fraction itself: 4/8. so out of 8 squares, green occupies 4. We now have 4 squares left.

Purple occupies 1/4. That means we now have 3 squares left. Therefore, the remaining 3 squares are blue.

Answer: 3 blue squares.

In fraction terms, blue occupies 3/8ths of the rectangular rug.

Gonzalez little sister thinks that all of Deazia's time slash distances point should be on the line drawn by her coach which is correct as it provides an accurate reference frame.

This is a term which is used to represent a set of coordinates or it is also referred to as something you use to measure the things that matter in Newtonian problems and other areas of life.

Time slash distances point which should be on the line drawn by her coach is correct because it makes the measurement of the different variables and parameters involved to be more accurate as against when another line is used.

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The amount of cubic feet that the storage shed can hold is 168 ft³

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The volume of the storage shed is the product of the base area and the height. It is given by:

Volume = base area * height

From the diagram, the base is a triangle. Hence:

Area of base = (1/2) * base * height = (1/2) * 8 ft * 7 ft = 28 ft²

Volume = base area * height = 28 ft² * 6 ft. = 168 ft³

The volume of the storage shed is 168 ft³

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Answer:

B and D

Step-by-step explanation:

the correct answer is : B and D

a) Using the information provided, the sales forecast in retail dollars for the new "Bongo Bumpers" toy in Canada for its first year of launch is $6,259,500.

b) If Spin Master had an issue with the distribution and was only able to achieve 70 percent distribution, the sales forecast will be $4,381,650.

A sales forecast is a projected future sales revenue based on estimated sales units and selling price under some predicted market situations.

The sales forecast is usually broken down into various periods, for example, a week, a month, or a year.

The purposes of a sales forecast are to:

The unit selling price per Bongo Bumpers toy = $25

The population of Canadian males aged 5 - 9 years = 963,000

The percentage of Canadian boys who would see the advertised toy = 65%

The estimated percentage of Canadian boys who would ask their parents to purchase the toy = 80%

The estimated percentage of Canadian parents who would buy the toy as requested by their male children = 50%

Estimated sales units for the toys = 250,380 (963,000 x 0.65 x 0.8 x 0.5)

Sales forecast for the Bongo Bumpers toys = $6,259,500 ($25 x 250,380)

With 70% distribution, the Sales Forecast = $4,381,650 ($6,259,500 x 70%)

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The model that represents the two equal expression for the value x is 2 is given by :

option C.  x  1  1 = 1   1   1   1

The correct model which represents the expression for the value x as 2 is given by :

A. x   x     x     x    = 1    1    1     1

On the left hand side substitute the value of x = 2 we get,

Left hand side

= 2    2    2    2

It is not equal to 1    1    1    1

Incorrect option.

B. x   x     x     x    = 1  

On the left hand side substitute the value of x = 2 we get,

2   2    2    2

which is not equal to 1

Incorrect option.

C. x   1   1  = 1      1     1     1

On the left hand side substitute the value of x = 2 we get,

2    1    1

= 1   1    1     1

= Right hand side.

Correct option.

D.  x      x    

On the left hand side substitute the value of x = 2 we get,

= 2      2

which is not equal to right hand side

Incorrect option.

Therefore, the correct model which represents the expression for the value of x = 2 is equal to option C.  x  1  1 = 1   1   1   1 .

The above question is incomplete , the complete question is:

Which model shows two equal expression when the value of x is 2 ?

Attached model.

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Answer: You have read 560 pages.

Step-by-step explanation:

70 divided by 100 x 800 = 560.

Answer:

Step-by-step explanation:

800(.70)= 560 pages that have been read

Answer:

3/8

Step-by-step explanation:

If 5/8 of the staff are male, then the remaining staff must be female, which is 1 - 5/8 = 3/8 of the staff.

So, the fraction of the staff that is female is 3/8.

ALLEN

The correct answer is "the more accurately the scores are represented by the mean."

The variability or dispersion of a set of scores refers to how spread out the scores are from the central tendency, which is usually measured by the mean, median, or mode.

When a set of scores has low variability or dispersion, it means that the scores are clustered closely together around the mean, and therefore, the mean is a more accurate representation of the typical score in the set.

On the other hand, when a set of scores has high variability or dispersion, it means that the scores are more spread out from the mean, and therefore, the mean may not be a very accurate representation of the typical score in the set. In such cases, other measures of central tendency, such as the median or mode, may provide a more accurate representation of the scores.

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At the level of significance of 0.05, the null hypothesis is not rejected and there is no convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20. Hence, option a. is the accurate answer.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. In this case, the null hypothesis is that the proportion of viewers who watch a particular show is equal to or greater than 0.20, and the alternative hypothesis is that the proportion is less than 0.20.

Since the p-value (0.47) is greater than the level of significance (0.05), we fail to reject the null hypothesis. This means that there is not enough evidence to support the claim that the proportion of viewers who watch the show is less than 0.20.

Therefore, we can conclude that at the level of significance of 0.05, the null hypothesis is not rejected. Also, there is no convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

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The complete question is -

A marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. The test yielded a p-value of 0.47. Assuming all conditions for inference were met, which of the following is the correct conclusion?

a. At the level of significance of 0.05, the null hypothesis is not rejected. There is no convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20

b. At the level of significance of 0.05, the null hypothesis is not rejected. There is convincing evidence to suggest the true proportion of television viewers who watch the show is less than 0.20.

c. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to suggest that the true proportion of television viewers who watch the show is less than 0.20.

d. At the level of significance of 0.05, the null hypothesis is rejected. There is no convincing evidence to suggest that the true proportion of television viewers who watch the show is greater than 0.20.

e. At the level of significance of 0.05, the null hypothesis is rejected. There is convincing evidence to conclude that the null hypothesis is true.

Answer:

r = 55

Step-by-step explanation:

Sum means addition

r + 18 = 73   Subtract 18 from both sides

r = 55

Answer:

The equation is:

r + 18 = 73

and the result is:

r = 55

Step-by-step explanation:

The  sum of r and 18 is 73, in equation is:

r + 18 = 73

Solve:

r + 18 - 18 = 73 - 18

r + 0 = 55

r = 55

Check:

55 + 18 = 73

The distance between the candy store and the skate park is about 5.2 miles, with a hypotenuse of 6 miles and a leg of 9 miles, as computed using the Pythagorean theorem.

The candy shop is at the right angle of a triangle made up of Cindy's school, the skate park, and the candy store. Using the Pythagorean theorem, we can calculate the distance between the skate park and the candy shop.

Let's name the separation between the candy shop and the skate park "x" distance. The hypotenuse of the right triangle, the distance between Cindy's school and the candy store, is then 6 miles away, while one of the legs, the skate park, is 9 miles away.

Using the Pythagorean theorem, we can write:

6² = 9² + x²

Simplifying, we get:

x² = 27

Taking the square root of both sides, we get:

x ≈ 5.2

Therefore, The distance between the candy store and the skate park is about 5.2 miles, with a hypotenuse of 6 miles and a leg of 9 miles, as computed using the Pythagorean theorem.

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4 3/4 pounds amount of sugar were left after Garth used 9 1/2 pounds for the lemonade.

9 1/2 pounds of sugar were used from 14 1/4 minus 4 3/4.

Garth needed 14 1/4 pounds of sugar to make lemonade for the school carnival, so he purchased them. He had 4 3/4 pounds of sugar left over when he had done preparing the lemonade. This indicates that he made the lemonade using 9 1/2 pounds of sugar. He took the 14 1/4 pounds of sugar he purchased and subtracted the 4 3/4 pounds that were leftover to get at the amount of sugar he utilised, or 9 1/2 pounds. This indicates that the correct response is D: The lemonade required 9 1/2 pounds of sugar.

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An appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Since the data represents the average time employees spent online, the y-axis of the bar graph should represent time in minutes.

To choose an appropriate scale for the y-axis.

we need to consider the range of values in the data set.

The lowest value is 15 minutes

and the highest value is 60 minutes

Range of values is 60 - 15 = 45 minutes.

It's best to choose a scale that divides the range of values into equal intervals.

One possible option is to use a scale where each unit represents 5 minutes of time. This would allow us to represent the data accurately without making the bars too small or too large.

Therefore, an appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.

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Answer:

heyyyyy

Step-by-step explanation:

whatssss goooddd

Hey there! Johnny Sins always here to help,

To find out what score Natasha needs to earn on her next test, we can use the following formula:

Average = (sum of all scores) / number of scores

Let's call the score Natasha needs to earn on her next test "x".

Her average so far is:

Average = (94 + 89 + 88 + 92 + 85) / 5 = 90

Her average after her next test will be:

Average = (94 + 89 + 88 + 92 + 85 + x) / 6

Now, we need to set this equal to 90% and solve for x:

90 = (94 + 89 + 88 + 92 + 85 + x) / 6

90 * 6 = (94 + 89 + 88 + 92 + 85 + x)

540 = (94 + 89 + 88 + 92 + 85 + x)

x = 540 - (94 + 89 + 88 + 92 + 85)

x = 540 - 448

x = 92

So, Natasha needs to earn a 92% on her next test to average at least 90%.

_________________________________________________________

No problem for the answer, be sure o give a 5 stars and thanks,

Johnny Sins

Casual relationship forecasting and Time series forecasting uses linear regression in forecasting.

Linear regression is a statistical tool used in forecasting to model the relationship between a dependent variable and one or more independent variables. Some of the common uses of linear regression in forecasting are:

Therefore, linear regression is a versatile tool in forecasting, with many useful applications for predicting future values, analyzing trends, evaluating accuracy, and identifying causal relationships.

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The complete question is :

In forecasting, there is more than one use for linear regression. What are the? Check all that apply.

1. Causal relationship forecasting

2. Time series forecasting

Ten pounds of chopped walnuts would total cost $30.00. That is because 3/4 pound of chopped walnuts costs $3.75, and 10 pounds would be 13.33 times as much.

1. 3/4 pound of chopped walnuts costs $3.75

2. 1 pound of chopped walnuts costs $5.00 (3.75 x 1.33)

3. 10 pounds of chopped walnuts costs $50.00 (5.00 x 10)

To calculate the cost of 10 pounds of chopped walnuts, we need to first calculate the cost of 1 pound of chopped walnuts. We know that 3/4 of a pound of chopped walnuts costs $3.75. To calculate the cost of 1 pound, we can multiply 3.75 by 1.33, which gives us the result of $5.00. We then multiply $5.00 by 10, which gives us the result of $50.00. Therefore, 10 pounds of chopped walnuts would cost $50.00. This is because 3/4 pound of chopped walnuts costs $3.75, and 10 pounds would be 13.33 times as much.

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In this solution, each molecule of (NH₄)₃PO₄ dissociates into three ammonium ions (NH₄₊) and one phosphate ion (PO4₃₋), resulting in a total of 4 ions per molecule. Hence, the Van 't Hoff factor for this solution is 4.

The Van 't Hoff factor (i) is a measure of the degree to which a substance ionizes in a solution, and is defined as the ratio of the number of ions formed to the number of molecules (or formula units) dissolved. For the case of a solution of (NH₄)₃PO₄, the Van 't Hoff factor is 4. The Van 't Hoff factor is a measure of the extent to which an ionic substance dissociates into individual ions when dissolved in water. It is defined as the ratio of the number of ions formed to the number of formula units or molecules of the substance that are dissolved. For a solution of (NH₄)₃PO₄, the Van 't Hoff factor is 4 because each molecule dissociates into 3 ammonium ions (NH₄₊) and 1 phosphate ion (PO4₃₋), resulting in a total of 4 ions per molecule. The Van 't Hoff factor is important in determining the colligative properties of solutions, such as boiling point elevation and freezing point depression.

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Using the two tangent exterior angle theorem:

x = 6

m(NK) = 153°

According to the two tangent exterior angle theorem, when you draw two tangent lines from a point outside a circle, the angle formed between them is equal to half the difference between the measures of the arcs they intercept inside the circle.

Therefore, using the above theorem, we have:

7x + 6 = 1/2[(25x + 3) - (9x + 3)]

Solve for x:

2(7x + 6) = 25x + 3 - 9x - 3

14x + 12 = 16x

14x - 16x = -12

-2x = -12

x = -12/-2

x = 6

m(NK) = 25x + 3 = 25(6) + 3

m(NK) = 153°

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Ken total annual income is $ 55,401.98.

What has compounded annually?

The interest charged on a loan or deposit is known as compound interest. It is the idea that we use the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The main distinction between compound and simple interest is this.

The completely randomized design, in which participants are assigned to treatment groups at random, is the most basic type of experimental design. The main benefit of using this method is that it minimizes the influence of chance and eliminates bias. This approach makes use of probability theory, which gives statistical analysis a strong foundation.

Given that Roth IRA has a present value of $524,856.00. The rate of interest is 3.4% per annum.

A = P(1+r)^t

A = amount

P = principal

r = rate of interest

t = time

The amount after 15 years is

A = 524,856.00(1+3.4%)¹⁵

A = 866658.9925

The total interest is  866658.9925 - 524,856.00 = $341802.99

The average interest per annum is (341802.99 /15) =22786.866

The annual income is 22786.866 + 32,615.12 = 55,401.986

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