Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.

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

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.

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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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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nah I don't think I want to.

The probability that a randomly chosen person has diabetes is 34.2 million / (0.105 * total population).

The probability that a randomly chosen person has diabetes is equal to the number of people who have diabetes divided by the total population:

probability = number of people with diabetes / total population

Substituting the given values:

probability = 34.2 million / (10.5% of the total population)

To calculate this, we need to convert the percentage to a decimal by dividing by 100:

probability = 34.2 million / (0.105 * total population)

Assuming the total population remains constant between 2018 and now, and that the percentage of people with diabetes has also remained constant, we can use this probability to estimate the current number of people with diabetes in the United States.

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To draw a centroid for ΔABC, follow the steps below.

The intersection point of line segments CD and XY is the centroid of the ΔABC. Label this point as G.

See the sample attached. Note that this is not constructed to scale.

The centroid is the point where the three medians of a triangle intersect.

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. In this case, line segment CD is one of the medians of triangle ABC because it connects the midpoint of AB (which is also the midpoint of CD) to vertex C. The other two medians connect the midpoints of the other two sides to their opposite vertices.

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Answer:

A

Step-by-step explanation:

If you look at the graph it starts at 30 and the next time it lines up on the lines is 3 up and 2 over. Therefore it is 3/2x+30

Answer

2.5

Step-by-step explanation:

have a nice day.

Any value of x that is less than or equal to -2 will make the inequality true.

What is Number line?

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

To solve the inequality 3x - 1 <= -7, we can start by adding 1 to both sides to isolate the variable:

3x - 1 + 1 <= -7 + 1

Simplifying, we get:

3x <= -6

Next, we can divide both sides by 3 to solve for x:

3x/3 <= -6/3

Simplifying, we get:

x <= -2

This tells us that any value of x that is less than or equal to -2 will make the inequality true. We can represent this on a number line by shading all values less than or equal to -2

The circle at -2 indicates that -2 is included in the solution set, and the arrow pointing to the left indicates that all values less than -2 are also included in the solution set. Therefore, the number line that shows all of the values of x that make the inequality 3x - 1 <= -7 true is the one with all values less than or equal to -2 shaded.

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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: none of these

Step-by-step explanation:

87 and 1/2% should be written as 87.5%

The number of patients that waited for more than 20 minutes is 74

The median waiting time is 17

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

The graph

Where

x = Waiting time

y = Cumulative frequency

This means that

y = Number of patients that waited x or more time

From the graph, we have

(x, y = (20, 74)

So, the number of patients is 74

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

Maximum CF = 100

Divide by 2 to calculate the median

Median = 100/2

Evaluate

Median = 50

From the graph, we have

(x, y = (50, 17)

So, the median is 17

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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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The profit generated from selling x boxes of pencils is a linear function of x, with a slope of $0.80 and a y-intercept of -$12.60

In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the range) with the property that each input is related to exactly one output.

Let us first define the demand function as D(x), where x is the number of boxes of pencils sold. We know that the manager can sell 10 boxes of pencils at a price of $2.19 per box, which means that the revenue generated from this sale is:

10 * $2.19 = $21.90

Similarly, when the price is $1.70, she can sell 24 boxes of pencils, which gives a revenue of:

24 * $1.70 = $40.80

Now, we can use these two data points to find the equation of the demand function. Since we assume that the demand is linear, we can use the slope-intercept form of a linear equation:

y = mx + b

where m is the slope and b is the y-intercept. In our case, y represents the revenue generated by selling x boxes of pencils.

To find the slope, we use the formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the two data points we have.

m = ($40.80 - $21.90) / (24 - 10)

m = $18.90 / 14

m = $1.35

To find the y-intercept, we can use either of the two data points and solve for b:

$21.90 = $1.35 * 10 + b

b = $7.40

Therefore, the demand function for the pencils is:

D(x) = $1.35x + $7.40

This means that for each additional box of pencils sold, the revenue generated increases by $1.35. The y-intercept of $7.40 represents the revenue generated when no pencils are sold, which includes fixed costs such as rent, utilities, and wages.

We also have the cost function C(x) = 0.55x + $20, which represents the total cost of buying x boxes of pencils. The profit function P(x) is defined as the difference between the revenue and the cost:

P(x) = D(x) - C(x)

Substituting the expressions for D(x) and C(x), we get:

P(x) = ($1.35x + $7.40) - (0.55x + $20)

Simplifying this expression, we get:

P(x) = $0.80x - $12.60

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The bakery made 384 donuts and 216 bagels

A bakery is a business that produces and sells baked goods, such as bread, cakes, pastries, and cookies.

Let's use the variable "x" to represent the number of bagels made.

From the problem, we know that:

The number of donuts made is 384 more than the number of bagels made, so the number of donuts is x + 384.

The bakery made 216 bagels.

We also know that the bakery made a total of 600 donuts. So, we can set up an equation to represent the total number of pastries made:

x + 384 + 216 = 600

Simplifying and solving for x:

x + 600 = 600

x = 600 - 600 + 384

x = 384

So, the bakery made 384 + 216 = 600 pastries in total.

Therefore, the bakery made 384 donuts and 216 bagels.

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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

Answer:

perimeter = 8a³b + 4ab

area = 4a^4b²

Step-by-step explanation:

perimeter = 2a³b + 6a³b + 4ab

perimeter = 8a³b + 4ab

area = bh/2

area = 4ab × 2a³b / 2

area = 4a^4b²

Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.

It is used in a t-test, which is a type of hypothesis test that is commonly used in statistical analysis. The t-value changes depending on the number of data points (sample size) collected, as well as the level of confidence desired and the standard deviation of the population. A larger sample size typically results in a smaller t-value, which means that the difference between the two sample means is more significant. On the other hand, a smaller sample size leads to a larger t-value, which means that the difference between the two sample means is less significant. Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.

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The total cost of an order is $900 if 50 invitations cost is $298.50

To calculate the cost of an order of personalized invitations, you would need to know the cost of each invitation and the one-time design fee.

Let calculate the cost of each invitation and the one-time design fee as follows:

50 Invitations: $298.50 / 50 = $5.97 per invitation

500 Invitations: $2049 / 500 = $4.098 per invitation

Design Fee: ($2049 - ($5.97 × 50)) / 500

= $3.90 one-time design fee

If you wanted to order 150 personalized invitations, the cost would be:

150 Invitations x $5.97 per invitation = $896.50

Plus one-time design fee of $3.90 = $890.40

Total cost = $896.50 + $3.90 = $900.

Hence, the total cost of an order is $900 if 50 invitations cost $298.50

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Answer:

B and D

Step-by-step explanation:

the correct answer is : B and D

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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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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The inequality that matches the region is [tex]y\geq -3[/tex].

What is linear inequality?

When a polynomial of degree 1 is compared to another algebraic expression of a degree less than or equal to 1, this is an example of a linear inequality, which is an inequality involving at least one linear algebraic expression. Different types of linear inequalities can be represented in a number of different ways.

The graph of the region shows a positive region which represents the value as a greater or increasing order.

The sign '>' represents the greater region.

So, the required answer is [tex]y\geq -3[/tex].

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Answer:

Step-by-step explanation:

a

n

​

=ar

n−1

a

3

​

=ar

2

=24...(1)

a

6

​

=ar

5

=192...(2)

dividing (2)  by (1)  we get

ar

2

ar

5

​

=

24

192

​

r

3

=8⇒r=2

From (1)

ar

2

=24

a=

2

2

24

​

=6

∴a

10

​

=(6)(2)

10−1

=3072

The value of MN is 3.05

Along with arithmetic, geometry is one of the earliest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions.

Since MN=NK,

draw an isosceles triangle (two sides are equal).

Mark the angle N as 110 degrees.

Now, draw a line from N to the opposite side at a right angle. This line will divide MK=5 in half since MN = NK.

It will also divide angle N into half. So, we will end up with a right triangle with one side 5/2 = 2.5 and the opposite angle 55 degrees.

sin(55) = opposite / hypotenuse = 2.5 / MN = 0.82

MN = 2.5 / 0.82 = 3.05

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Mae Ling make $590 in a work week if she sold $4,500 worth of merchandise.

The given is:

We need to find how much she would earns in a work week

Mae Ling earns a weekly salary of $320

She earns a 6.0% commission on sales

She sold by $4,500 in that week

Add $320 to the product of 6.0% and $4,500

She made = 320 + (6.0% × 4,500)

6.0% = 6.0 ÷ 100 = 0.06

She made = 320 + (0.06 × 4,500)

She made = 320 + 270

She made = 590

She would make $590 in a work if she sold $4,500 worth of merchandise.

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