Graph the equation include aleast 3 ordered pairs
y=0.5x + 2

Answer:

Step-by-step explanation:

is an opposite angle, therefore congruent, same value 45°

Answer:

45

Step-by-step explanation:

hello, the answer is 45

Answer:

15

Step-by-step explanation:

The numbers in the given data = 12, 17, 16, 10, 20

Total number = 5

12 + 17 + 16 + 10 + 20 = 75

Mean = 75/5

Mean 15

Answer:

[tex] \sqrt{ {9}^{2} + {14}^{2} } = \sqrt{81 + 196} = \sqrt{277} = 16.643[/tex]

YZ =√277. To the nearest tenth, that is 16.6 units.

Part A: A dot plot would best represent the data shown because a dot plot shows each data point as a dot along a number line, making it easy to see the frequency of each individual score.

Part B: we follow the steps described below to plot a dot plot:

What is a dot pot?

A dot chart or dot plot is  described as a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.

The stacked dots in the plotted graph reflect the frequency of each score, and the dots themselves represent the individual scores.

The figure reveals that 4 and 3 were the most frequent scores, respectively, and that a score of 12 was an exception.

Learn more about dot plots at: https://brainly.com/question/24309209

#SPJ1

Answer:

1. a.) The x intercepts are 7 and negative 3.

b.) The y-intercept is -21

2. C

3. a.) 4

b.) 4 and 1

Step-by-step explanation:

1 a.)The x intercepts can be found by setting y to 0, and solving for x for each factor individually.

0=x-7

7=x

0=x+3

-3=x

b.)The y-intercept can be found by multiplying the factors and looking the stand-alone number at the end of the equation. This can also be solved mathematically by replacing the x's in the equation with 0.

[tex]y=(x-7)(x+3)\\y=x^2-7x+3x-21\\y=x^2-4x-21\\y=(0)^2-4(0)-21\\y=-21[/tex]

2.) Based on the graph we can see the line intercepts the x-axis at -1 and 3. So if we were to put this into factored form, the numbers would be opposite when paired with x. Hence

(x-3)(x+1)

3 a.)  Again, this can be found by observing the number by itself at the end of the equation or mathematically by changing x to 0

[tex]y=(0)^2-5(0)+4\\y=4[/tex]

b.) As stated previously, this can be found by setting the y to 0 and solving the factors.

[tex]0=(x-4)(x-1)\\0=(x-4)\\4=x\\0=x-1\\1=x[/tex]

To find the total project completion time, we need to add the time required for each activity. Since the activities must be carried out sequentially, the total project completion time will be the sum of the times required for each activity.

The time required for activity a is uniformly distributed in the interval [1,5], so we can assume that the average time required for activity a is (1+5)/2 = 3.

The time required for activity b is uniformly distributed in the interval [2,3], so we can assume that the average time required for activity b is (2+3)/2 = 2.5.

The time required for activity c is uniformly distributed in the interval [3,6], so we can assume that the average time required for activity c is (3+6)/2 = 4.5.

Therefore, the total project completion time is:

Total project completion time = time for activity a + time for activity b + time for activity c
= 3 + 2.5 + 4.5
= 10

To run 1000 simulation trials in Excel, we can use the RAND function to generate random numbers between 0 and 1. We can then multiply these random numbers by the range of each activity to get a simulated completion time for each activity. We can then add up the simulated completion times for each trial to get a simulated total project completion time.

Here are the steps to run 1000 simulation trials in Excel:

1. In cell A1, enter "Trial" as the column header.

2. In cell B1, enter "Time for Activity A" as the column header.

3. In cell C1, enter "Time for Activity B" as the column header.

4. In cell D1, enter "Time for Activity C" as the column header.

5. In cell E1, enter "Total Project Completion Time" as the column header.

6. In cell A2, enter "1" as the first trial number.

7. In cell B2, enter the formula "=RAND()*(5-1)+1" to generate a random number between 1 and 5 for activity a.

8. In cell C2, enter the formula "=RAND()*(3-2)+2" to generate a random number between 2 and 3 for activity b.

9. In cell D2, enter the formula "=RAND()*(6-3)+3" to generate a random number between 3 and 6 for activity c.

10. In cell E2, enter the formula "=B2+C2+D2" to calculate the total project completion time for trial 1.

11. Select cells B2:E2 and drag the fill handle down to fill in the formulas for the remaining trials.

12. After filling in the formulas for 1000 trials, you can use Excel's AVERAGE function to find the average total project completion time across all trials.

Learn more about project:

https://brainly.com/question/25009327

#SPJ11

Answer:

3(12x+6y)

6(6x+3y)

9(4x+2y)

Answer:

Here are three equivalent expressions to 36x + 18y:

18(2x + y)

9(4x + 2y)

6(6x + 3y)

Step-by-step explanation:

Answer:

  2

Step-by-step explanation:

You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].

The average rate of change of f(x) on the interval [a, b] is computed as ...

  m = (f(b) -f(a))/(b -a)

For the given function f(x), this is ...

  m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2

The average rate of change of f(x) on the interval [-7, 3] is 2.

__

Additional comment

The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:

  -2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.

<95141404393>

His discount and final price be $280 for his order of 140 boxes.

A discount is a drop in a product's or service's price.

It is frequently provided as a perk to customers to entice them to buy. Discounts are often stated as a percentage or dollar amount off the list price.

Depending on the sort of discount and the situation, discounts can be computed in a variety of ways.

For instance, a product that costs $100 would have a discounted price of $80 with a 20% discount applied. Similar to this, a product that costs $50 would have a discounted price of $40 if it received a $10 reduction.

In marketing and sales, discounts are frequently used to draw customers and boost sales volume.

The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test.

In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."

This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."

Exampe of Percentage :-

10% = 10/100 ( = 1/10 (or) 0.1)

25% = 25/100 ( = 1/4 (or) 0.25)

According to question

Lee qualifies for a 20% discount because his order of 140 boxes falls within the range of 100-200 boxes.

Since each box originally cost $2.50, the full price of 140 boxes, after any discounts, is:

140 * $2.50 = $350

The 20% Lee discount is determined as follows:

20% * $350 = $70

Lee's discount is therefore $70, and his adjusted price is as follows:

$350 - $70 = $280

Therefore, Lee will ultimately pay $280 for his order of 140 cartons.

To learn more about percentage visit:

https://brainly.com/question/28144353

#SPJ1

Answer:

53/3

Step-by-step explanation:

3(x^2+2)-3y                   Evaluate when x = 2 & y = 2/3

3(2² + 2) - 3(2/3)

3(4 + 2) - 3(2/3)

3(6) - 3(2/3)

18 - 3(2/3)

18 - 6/18

18 - 1/3

54/3 - 1/3

53/3

So, the answer is 53/3

When two circles intersect, there can be common internal and external tangents, and if the circles intersect at two points, then the line joining their centers will bisect the common internal tangents and be perpendicular to the common external tangents.

Tangent is a line or segment that lies between the two circles, while a common external tangent is a line or segment that lies outside both circles.

Additionally, there can be a special case where the two circles are tangent to each other, meaning they touch at exactly one point.

When two circles intersect, there are a few important properties to consider. First, the two circles will intersect at either one or two points.

If they intersect at one point, then the two circles are said to be tangent to each other.

In this case, the tangent to each circle at the point of intersection is the same line. If the two circles intersect at two points, then there are two common internal tangents and two common external tangents.

Furthermore, if two circles intersect at two points, then the line joining the centers of the circles will bisect the common internal tangents and will be perpendicular to the common external tangents. This is known as the Radical Axis Theorem.

Another important property of intersecting circles is that if a line or segment intersects one circle and is tangent to the other circle at a point of intersection, then the line or segment will be a common tangent to the two circles.

The intersection of two circles can result in either no points, one point, or two points of intersection.

Tangent lines and tangent segments can also be used to create common tangents for the two circles.

For similar question on common external tangents.

https://brainly.com/question/27978207

#SPJ11

Question:

You have studied the properties and theorems of circles related to radil, chords, secants, and tangents. These components help to create angles and segments inside and outside a circle. However, there are also properties and components associated with two circles together. All circles are similar to each other and all circles are congruent when their radii have the same length. For this project, let's consider the Intersection of two circles. There are three possible arrangements.

1. No points of intersection:

2. One point of intersection:

3. Two points of intersection:

There are relationships between two circles other than the points of intersection. Those relationships involve tangent lines and tangent segments. A common tangent for two circles is a line or segment that touches both circles only once. These common tangents can be internal common tangents or external common tangents. A common internal

Yes , it is appropriate to choose normal approximation to calculate the chance of winning at least 10 times out of 75 total plays of game.

Use the normal approximation,

Chance of winning at least 10 times out of 75 total plays of the game,

Conditions for using the normal distribution are met.

Binomial distribution can be approximated by the normal distribution,

The number of trials 'n' is large enough usually n > 30.

The probability of success 'p' is not too close to 0 or 1.

The trials are independent.

Here,

n = 75 trials and p = 0.15 probability of winning.

To check if the normal approximation is appropriate,

Calculate the mean and standard deviation of the binomial distribution,

mean = n × p

         = 75 × 0.15

         = 11.25

Standard deviation

= √(n × p × (1 - p))

= √(75 × 0.15 × 0.85)

= 3.09

Mean is 11.25 and the standard deviation is 2.44.

The condition for independence is satisfied since each play is independent of the others.

If the other two conditions are met,

Check if np and n(1-p) are both greater than or equal to 10,

np = 75 × 0.15

    = 11.25

n(1-p) = 75 × 0.85

         = 63.75

Both np and n(1-p) are greater than or equal to 10,

So the conditions for using the normal approximation are satisfied.

Therefore, it is appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game.

learn more about normal approximation here

brainly.com/question/28111818

#SPJ4

The area of the cement part is 24 m².

Area is the region bounded by a plane shape.

To calculate the area of the part with cement. we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area is 24 m².

Learn more about area here: https://brainly.com/question/28470545

#SPJ1

EXPLANATION

Given the dimensions of a rectangular prism:

Length = 113 yards

Width: 212 yards

Height: 4 yards

We have to find its volume.

The volume of a prism is the product of its dimensions,

Hence, the volume of this prism is 95,824 cubic yards.

In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) slope parameter. Option B is the correct answer.

In the given equation, y is the dependent variable, x1, and x2 are independent variables, β0 is the intercept parameter, β1 is the slope parameter for x1, β2 is the slope parameter for x2, and u is the error term. Therefore, β2 represents the effect or impact of the independent variable x2 on the dependent variable y, holding other independent variables constant.

Understanding the role and significance of each parameter is essential for interpreting the results of statistical models and drawing meaningful conclusions from the data.

Learn more about slope parameters at

https://brainly.com/question/29731158

#SPJ4

The question is -

In the equation, y=β_0+β_1 x_1+β_2 x_2+u, β_2 is a(n) _____.

a. independent variable

b. dependent variable

c. slope parameter

d. intercept parameter

The measure of angle JKL is 105⁰.

The measure of angle KJM is  75⁰.

In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.

The measure of angle JKL is calculated as;

m∠JKL = 27⁰ + 78⁰ = 105⁰

m∠JKL = 105⁰

The measure of angle KJM is calculated as;

m∠KJM = ¹/₂ (360 -  2x105)

m∠KJM = 75⁰

Learn more about isosceles trapezoid here: https://brainly.com/question/4758162

#SPJ1

Therefore, the first term of the sequence is 3.

A sequence is an ordered list of numbers, usually generated by a pattern or a rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index. Sequences can have a finite or infinite number of terms, and they can be defined in various ways, such as recursively (where each term is defined in terms of the previous terms) or explicitly (where the formula for each term is given).

Here,

The given sequence is an arithmetic sequence, where the common difference between consecutive terms is 4. To find the first term, we can use the formula for the nth term of an arithmetic sequence, which is:

an = a1 + (n - 1)d

where an is the nth term, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.

For this sequence, we know that a6 = 23 (since 23 is the last term given in the sequence), n = 6, and d = 4. Substituting these values into the formula, we get:

a6 = a1 + (6 - 1)4

23 = a1 + 20

a1 = 23 - 20

a1 = 3

To know more about sequence,

https://brainly.com/question/29266402

#SPJ1

Complete question:

What’s the first term for the given sequence: 3, 7, 11, 15, 19, 23?

Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.

Any function which it graphs as a straight line is said to be linear. Mathematically speaking, this indicates that the function contains one or two variables, but neither exponents nor powers.

Given linear function:

y = 2x - 3 ; with x = 4

To get the value of y ,put x = 4 in the given function:

y = 2(4) - 3

y = 8 - 3

y = 5

Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.

Know more about the linear function:

https://brainly.com/question/2248255

#SPJ1

correct question:

Find the value of y for the given value of 'x'.

y = 2x - 3 ; x = 4

The two statements are;

The area of sector 1 is  20n² + 15n square meters

The total distance around the garden is 20n + 2 meters

Option A  and C

The formula for the area of a rectangle is expressed as;

A = lw

Such that the parameters are;

For the first sector, we have that;

Length = 4n + 3

Width = 6n - 2 - 5n = n - 2

Substitute the values

Area of sector 1 = (4n + 3)(5n)

expand the expression

Area of sector 1 = 20n² + 15n square meters

Area for the sector 2

Area = (3n - 3)(n -2)

expand the bracket

Area = 3n² - 6n - 3n + 6 = 3n² - 9n + 6

Learn more about rectangles at: https://brainly.com/question/25292087

#SPJ1

Expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72.[/tex]

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.

The expression [tex]162x^2 - 72[/tex] can be factored using the difference of squares formula: [tex]a^2 - b^2 = (a+b)(a-b)[/tex].

First, we can factor out 18 from the expression:

[tex]162x^2 - 72 = 18(9x^2 - 4)[/tex]

Now, we can apply the difference of squares formula by setting a = 3x and b = 2:

[tex]9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)[/tex]

Substituting this back into the original expression, we get:

[tex]162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)[/tex]

Therefore, expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72[/tex].

To know more about expression visit:

https://brainly.com/question/1859113

#SPJ1

The probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69.

Since a person with type B blood can safely receive blood transfusions of type O and type B blood, the fourth donation selected at random must be either type O or type B blood. From the information given, the probability of the fourth donation being type O blood is 49%, and the probability of it being type B blood is 20%. Therefore, the probability that the fourth donation can be safely used in a blood transfusion on someone with type B blood is:

P(type O or type B) = P(type O) + P(type B) = 0.49 + 0.20 = 0.69

So, the probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69 (rounded to the nearest thousandth).

Learn more about Probability

brainly.com/question/30034780

#SPJ11

Answer:

I would say convenience sampling. It's hard to tell. Sampling every other person is like systematic sampling, BUT convenience sampling would be to sample people that are easy to reach.

193.18 quarts of ice cream are needed to make 922 milkshakes.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

A proportion is an equation that sets two ratios at the same value.

To find the number of quarts needed to make 922 milkshakes, we can set up a proportion:
22 quarts / 105 milkshakes = x quarts / 922 milkshakes

Cross-multiply:
[tex]22\times 922 = 105 \times x[/tex]
Calculate the products:
[tex]22 \times 922 = 105 \times x[/tex]

Divide by 105 to solve for x:
[tex]20284 \times 105 = x[/tex]
Calculate the quotient:
[tex]20284 \times 105 = x[/tex]

Therefore, approximately 193.18 quarts of ice cream are needed to make 922 milkshakes.
For more such answers on Unitary Method
https://brainly.com/question/23423168
#SPJ11

Answer:

460.46

Step-by-step explanation:

If a fence costs $2.99 per foot, the cost of the feence will be 154(2.99) = $460.46

How to find the area of the circular flour

The formula for finding the area of a circle is expressed as:

A = πr²

r is the radius of the circle

Given that r = 7 feet

A = π(7)²

A = 49 * 22/7

A = 22 * 7

A = 154 square feet

If a fence costs $2.99 per foot, the cost of the fence will be 154(2.99) = $460.46

The answer to this problem is  "The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall".

When conducting a survey, it's important to carefully define the population of interest and the sample being surveyed. The population is the entire group that you want to draw conclusions about, while the sample is the group of individuals that you actually survey. In this situation, the population of interest is the total number of people who go to the mall, as this is the group that we want to make inferences about.

The sample is the first 75 people who entered the mall and were asked about their favorite restaurant in the food court. This sample was likely selected in a way that is meant to be representative of the larger population of mall-goers. However, it's worth noting that the sample is still a subset of the population, and therefore there is some risk of sampling error. For example, if the first 75 people who entered the mall were all from the same demographic group, the survey results might not be representative of the larger population.

Overall, it's important to be clear about the population and sample when conducting a survey, as this helps to ensure that the results are meaningful and accurate.

learn more on survey here;

https://brainly.com/question/23286309

#SPJ1

Answer:

which equation i cant see a question or a photo of question

Answer: 32

Step-by-step explanation:

50% of last year is divided by 2 (50/100 = 1/2). 64/2 = 32

we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11

9, 1, 6

First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.

To divide 5,472 by a two-digit number, we can use long division method as follows:

34) 5 4 7 2( 34

   -    4 0

     ______

       1 4 7

  -    1 3 6

      _______

            1 1

Therefore, we get the quotient as 161 and remainder as 11.

So the missing numbers are:

R = 11

9, 1, 6

Learn more about HCF here

https://brainly.com/question/29114178

#SPJ1

The upper control limit for the p-chart is 0.111, and the lower control limit is 0.003.

To calculate the upper and lower control limits for a p-chart, we need to use the following formula:

UCL = p' + 3√(p'(1-p')/n)

LCL = p' - 3√(p'(1-p')/n)

Where p' is the mean proportion of defective pots, n is the sample size (in this case, 120), and UCL and LCL are the upper and lower control limits, respectively.

Given that the proportion of defective pots is believed to be 0.05, we can calculate the mean proportion of defective pots as:

p' = 0.05

Substituting this value in the above formula, we get:

UCL = 0.05 + 3√(0.05(1-0.05)/120) = 0.111

LCL = 0.05 - 3√(0.05(1-0.05)/120) = 0.003

Any sample proportion of defective pots falling outside these limits would be considered statistically significant and warrant further investigation to identify the root cause of the defects in the production process.

To learn more about proportion click on,

https://brainly.com/question/29979305

#SPJ4

Complete question is:

A random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the p' chart.

The money Jodi will have after selling her shares will be B. $5160.00

What is meant by selling?

Selling typically refers to the exchange of goods or assets for money or other valuable consideration. It is the process of transferring ownership of a product or item from the seller to the buyer in return for an agreed-upon price or value.

What is meant by shares?

Shares refer to units of ownership in a company or corporation. When a company sells shares, it is raising funds from investors who then become shareholders and have a claim on the company's profits and assets.

According to the given information

Jody bought 20 shares of Amazon at $121.00, which costs her 20 x $121.00 = $2420.00.

One year later, she bought 20 more shares at $127.00, which costs her 20 x $127.00 = $2540.00.

The total cost of buying all the shares is $2420.00 + $2540.00 = $4960.00.

Jody sold all her shares two years later at $133.00 per share, which gives her 40 x $133.00 = $5320.00.

Her total profit is $5320.00 - $4960.00 = $360.00.

After deducting the broker's fees, Jody will have $360.00 - $80.00 = $280.00.

Therefore, the correct answer is option B. $5160.00.

To know more about selling visit

brainly.com/question/30810410

#SPJ1