x + y = -5

3x + y = -3

The midpoint of the segment PQ where P¨= (-4, -1) and Q = (3, 3) is the point  (-1/2, 1)

If we have a segment whose endpoints are (a, b) and (c, d), then the midpoint of that segment will be:

( (a + c)/2, (b + d)/2).

In this case, we can see that the endpoints of the segment are:

(-4, -1) and (3, 3), replacing that in the midpoint formula that I wrote above we will get:

Midpoint: (  (-4 + 3)/2 , (-1 + 3)/2) = (-1/2, 1)

In this way, we conclude that the midpoint of the segment PQ where P¨= (-4, -1) and Q = (3, 3) is the point  (-1/2, 1).

Learn more about midpoints in the link below:

https://brainly.com/question/5566419

#SPJ1

The correct statement regarding the best measure of center of a data-set is given as follows:

The mean is the best measure of center because there are no outliers present.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The line plot shows the number of times that each observation happened, and these observations happen in a restricted range between 1 and 7, hence there are no outliers and thus the mean is the best measure of center.

More can be learned about the mean of a data-set at https://brainly.com/question/1136789

#SPJ1

Answer:

I believe that this is what you mean. (y^3+3y+7)*(8y^2+y+1)

Step-by-step explanation:

So your answer would be: 8y^5+y^4+25y^3+59y^2+10y+7

Have a nice day!

I really hope this helps!

Answer:

11

Step-by-step explanation:

Answer:

X= 200 * 18 /120 = 30

Step-by-step explanation:

Please Brainlist

Step-by-step explanation:

refer the above attachment

thankyou

Answer:

1/2

Step-by-step explanation:

Slope is the rise over the run.  This means the difference in the y values over the difference in the x values.

The two points on the graph are (2,-2) and ( -6, -6 ).

The difference in the y values is a total of 4 units.

The difference in the x values is a total of 8 units.

The slope would then be 4/8 which simplifies to 1/2.

The line slants upward from left to right so the slope is positive.

Ensuring that data is collected the same way each time it is collected is an example of data consistency.

Therefore, ensuring that data is collected the same way each time it is collected is an example of data consistency.

Know more about data consistency here:

https://brainly.com/question/27944955

#SPJ4

Step-by-step explanation:

if it is cloudy, then it is snowing. False.  This is obviously not true since sometimes it's just cloudy and it's also cloudy when it rains.

all quadrilaterals are rectangles. False. A quadrilateral has four straight sides which don't have to be parallel to each other unlike a rectangle which has four straight sides with all four sides being parallel to one other side.

All chocolates like students? False? Not sure if I'm writing the converse correctly for this one but if I am this isn't true because chocolate doesn't have feelings...

All triangles with two or more congruent angles are a right triangle. False. This is only true when those two congruent angles add up to 90 which is when they're both 45. But they could also both be 30, 29, 28, etc... which won't result in a right triangle.

Answer:

If it is cloudy, then it is snowing.

   Counter-argument: It can be cloudy in the summer.

If a figure is a quadrilateral, then it is a rectangle.

   Counter-argument: Trapezoids are not rectangles.

If someone likes chocolate, then they are a student.

    Counter-argument: many people like chocolate who are not students.

If a triangle has 2 or more congruent angles, then it is a right triangle.

    Counter-argument: Equilateral tr6iangles have 3 congruent angles.

    None are right angles.

Step-by-step explanation:

Converse statements reverse the If Then in the original.

For g(x) to be the inverse of f(x) then f times g needs to equal g x f

F(g(x)) = 3 times (1/3x) = x

G(f(x)) = 1/3 times (3x) = x

The answer is c. 1/3(3x)

Answer:

87.5% loss

Step-by-step explanation:

6 • 250 = 1500

4.5 • 35 = 157.5

6 - 4.5 = 1.5

1.5 • 20 = 30

157.5 + 30 = 187.5

1500x = 187.5

x = 0.125

12.5% is an 87.5% decrease

you didn't tell wich program to use and did not include any pictures.

anyways, I graphed the function with desmos (free to use as app and on website)

so that u can see what the graph should look like.

variance based on the zoom is okay of course.

Answer:

Step-by-step explanation:

Answer:

0.286

Step-by-step explanation:

2/7 as a decimal is 0.28571429

0.28571429 rounded to thousandths place = 0.286

hope this helps!!!

The decimal form of the number will be 0.286

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fractional number is 2/7. The decimal form of the number will be,

2/7 as a decimal is 0.28571429 by dividing the number 2 by 7.

Rounded to the thousandths place,

0.28571429 = 0.286

Hence, the decimal form of the number will be 0.286

To know more about an expression follow

https://brainly.com/question/28393353

#SPJ2

Answer:

Distance = √(13)

Step-by-step explanation:

Since distance between two points (x, y) and (x', y') on the graph is determined by,

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)

Two points given on the graph are (2, 0) and (5, -2).

Therefore, distance between these points will be

Distance = \(\sqrt{(5-2)^2+(-2-0)^2}\)

               = \(\sqrt{(3)^2+(-2)^2}\)

               = \(\sqrt{13}\)

Therefore, answer will be distance = √(13)

k(x) can have any minimum value, which means it can have the greatest minimum value among the given functions.

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

The given graph represents the function \(f(x) = x^2 - 2x - 6\), which is an upward-opening parabola with vertex at (1, -7) and passes through the points (-2, 2) and (4, 2).

Function \(h(x) = 2(x - 1)^2\) is a quadratic function that opens upwards and its vertex is at (1, 0). The minimum value of h(x) is 0, which is the value at the vertex. Therefore, h(x) has the least minimum value among the given functions.

Function k(x) can be any linear function or a constant function. If k(x) is a linear function, then its minimum value is either negative infinity or 0, depending on the slope of the function. If k(x) is a constant function, then its minimum value is the same as its constant value.

Therefore, k(x) can have any minimum value, which means it can have the greatest minimum value among the given functions.

To know more about function visit:

https://brainly.com/question/11624077

#SPJ1

The number of different positive four digit integers contain each of the digits 0, 1, 2, and 3 exactly once is 18

The given digits = 0, 1, 2 and 3

Total number of digits = 4

We need to create different four digit integers contain each of the digits 0, 1, 2  and 3 exactly once

Here we have to use the permutation

Here first number cannot be zero

Number of digits possible in thousands place = 3

Then different positive four digits integers = 3 × 3 × 2 × 1

= 18

Therefore, 18 different four digits numbers can be formed by using the given digits

Learn more about permutation here

brainly.com/question/28720645

#SPJ4

Answer:

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Step-by-step explanation:

Let

x = friends that paid discount price

y = friends that paid regular price

x + y = 12 (1)

6x + 8y = 80 (2)

From (1)

x = 12 - y

Substitute x = 12 - y into (2)

6x + 8y = 80 (2)

6(12 - y) + 8y = 80

72 - 6y + 8y = 80

- 6y + 8y = 80 - 72

2y = 8

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 12 (1)

x + 4 = 12

x = 12 - 4

x = 8

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Answer:

13x13=169

Step-by-step explanation:

the runner ran 169 miles

Answer: 169 miles per hour.

13mph x 13 hours= 169

This is because:

mph = miles per hour. This person ran 13 miles PER HOUR, and there are 13 hours.

Answer:

x = 2.99 inches

Step-by-step explanation:

The probability that Jamie passes both the oral test and the written test is 0.5168, or 51.68%.

To find the probability that Jamie passes both the oral test and the written test, we can use the conditional probability formula: P(A and B) = P(A|B) * P(B), where A represents passing the oral test and B represents passing the written test.

From the given information:
- The probability of passing the oral test, P(A), is 0.56.
- The probability of passing the written test, P(B), is 0.68.
- The probability of passing the oral test, given that the candidate passes the written test, P(A|B), is 0.76.

Now, using the conditional probability formula:
P(A and B) = P(A|B) * P(B)
P(A and B) = 0.76 * 0.68

Calculating the product:
P(A and B) = 0.5168

Learn more about probability: https://brainly.com/question/25839839

#SPJ11

The power series represented by the given expression is centered at 7.

The power series given is of the form ∑ [infinity] (−1)n(x − 7)3n (3n)! n = 0. Here, the term (x - 7) indicates that the series is centered at 7. The center of a power series is the point around which the terms are being expanded. In this case, the series is being expanded around x = 7. The power series representation of a function is useful in many areas of mathematics, including calculus and differential equations. Knowing the center of a power series is important because it allows us to use the series to approximate the value of the function at any point in its domain.

Learn more about power series here

https://brainly.com/question/14300219

#SPJ11

Answer:

$1500

$3000

Step-by-step explanation:

let x = # of hours

$500 + ($50/hr)(20 hr) = $1500

$500 + ($50/hr)($50 hr) = $3000

In testing for differences between the means of two independent populations, the null hypothesis states that the difference between the two population means is not significantly different from zero or is H₀: µ₁ - µ₂ = 0  

Given: To state the null hypothesis between the difference of means for 2 independent populations.

What is a hypothesis?

A hypothesis is a proposed assumption or supposition which acts as an initial point for starting research work and it is based on just a few observations from the past that are based on a limited shred of evidence and is needed more evidence to prove to be true later in the future.

What is the null hypothesis?

In statistics, a null hypothesis is a proposition or explanation that says that for a given set of observations there is no significance or there is no difference for a certain characteristic of a population or a given data set under observation. It is denoted as H0

What is mean?

Mean is defined as the average for a given data set.

Hence in testing for differences between the means of two independent populations, the null hypothesis states that the difference between the two population means is not significantly different from zero or is H₀: µ₁ - µ₂ = 0  

Know more about the “null hypothesis” here: https://brainly.com/question/19263925

#SPJ4

The margin for the runners is 50% and the Margin percentage is 33.33% (to the nearest percent).

When the shop sells runners at a mark-up of 50%, we need to find out the margin for these runners.

What is markup?

The mark-up is a percentage that you add to the cost price of a product to get the selling price. The mark-up percentage is calculated based on the cost price of the product.

Let the cost price of the runner be CP and the markup percentage be M%

Since the shop is selling the runners at a 50% markup, the selling price of the runners would be 150% of their cost price.

Selling price = (100 + M)% × Cost priceSelling price = (100 + 50)% × CP = 150% × CP = 1.5 × CP

Therefore, the margin for the runners can be calculated as follows:

Margin = Selling price - Cost price

Margin = 1.5 × CP - CP = 0.5 × CP

Clearly, the margin on runners is 50% of their cost price.

The percentage of margin can be calculated as follows:

Margin percentage = (Margin / Selling price) × 100Margin percentage = (0.5 × CP / 1.5 × CP) × 100Margin percentage = (1/3) × 100Margin percentage = 33.33%

Therefore, the margin for the runners is 50% and the margin percentage is 33.33% (to the nearest percent).

For more questions on Margin .

https://brainly.com/question/29328438

#SPJ8

1. One mean 2. One proportion 3. Proportions from dependent samples 4. Two independent means 5. Means from dependent samples 6. Proportions from dependent samples

1. You want to estimate the typical salary for women working in the nursing field.
  Answer: One mean
2. You want to estimate the proportion of nurses that quit after working for only one year.
  Answer: One proportion
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
  Answer: Two independent means
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
  Answer: Two independent means
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been an increase in medical cost?
  Answer: Means from dependent samples
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
  Answer: Proportions from dependent samples

Learn more about mean here : https://brainly.com/question/31101410

#SPJ11

Answer:

He can apply for 4 different majors at each college giving

5 * 4 = 20     (if the college permits more than 1 application for a major)

Answer:

52

Step-by-step explanation:

12-3n=-7n-4(n+5)

Step 1: distribute

12-3n=-7n-4n-20

Step 2: Combine like terms

12-3n=-11n-20

Step 3: Move N to one side

12-3n=-11n-20

  +11n +11n

12+8n=-20

Step 4: Get normal numbers to the other side

12+8n=-20

-12         -12

8n=-32

Step 5: Take away the number infront of N by dividing each side by the number of Ns

8n=-32

/8     /8

n= -4

Step 6: Plug N into: 32-5n

32-5(-4)

Step 7: Get rid of parenthesis by multiplying. Negative times Negative is positive.

32+20

Step 8: Finish the problem

Answer is 52

The probability that exactly 1 train will pass Mary's house is 0.00889.

According to the given question.

On average, 18 trains pass by Mary's house daily i.e. in 24 hours.

As, we know that "Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event".

Therefore,

The probability that exactly one train will pass Mary's house in a 3 hour period

= \(\frac{^{18C_{1} } }{^{24} C_{3} }\)

\(= \frac{\frac{18!}{1!\times17!} }{\frac{24!}{3!\times 21!} }\)

\(= \frac{18}{\frac{24\times23\times22}{3\times2\times1} }\)

\(=\frac{18}{8\times23\times\ 11}\)

= 18/2024

= 0.00889

Hence, the probability that exactly 1 train will pass Mary's house is 0.00889.

Find out more information about probability here:

https://brainly.com/question/13098829

#SPJ4

we have the following:

Therefore, the answer is 7