Write the equation of a line parallel to the line y = 2x - 1 but goes through the point (1,-3).

Answers

Answer 1

Answer:

y=2x+7

Step-by-step explanation:

since the parallel line's equation is asked the gradient will be same , so it would be y=2x ,

Now to find the intercept;

the gradient of the line of which we are finding the equation is 2, so when tan function of the line is considered it becomes as 2= (x-1)/3 where x is the intercept , from that we can find x as 7

therefore the equation is y = 2x +7.

Answer 2

Answer:

y = 2x - 5

Step-by-step explanation:

Parallel lines have same slope.

y = 2x - 1

So, m = 2 , and the line passes through (1 , -3)

Equation: y - y₁ = m (x - x₁)

               y - [-3] = 2 (x - 1)

               y + 3 = 2x - 2

                     y = 2x - 2 -3

                    y = 2x - 5


Related Questions

How many records should be assigned to one individual item that has values for variables?

1

2

One for each variable value

4

Answers

The answer to the given question about records being assigned to values for variables is option a) 1.

The number of records that should be assigned to one individual item that has values for variables depends on the type of data being collected and the research question being addressed. However, in general, one record should be assigned to one individual item, and each record should contain values for all relevant variables. For example, if we are collecting data on the height, weight, and age of individuals, we would create one record for each individual, with columns for each variable. So, the answer to the question would be 1.

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Complete Question

How many number of records should be assigned to each individual item with a variable values in order to ensure proper management of data, what is the numerical value of the data?

a) 1

b) 2

c) All variables must have different variable value

d) 4

the central limit theorem says that a histogram of the sample means will have a bell shape, even if the population is skewed and the sample is small.True or False

Answers

Answer:

False

Step-by-step explanation:

Central Limit Theorem

The central limit theorem says that the sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough

Sue and Gwen each have large collections of CDs. Sue has twice as many CDs as Gwen. Together the girls have 96 CDs. Which equation could be used to find the number of CDs, x, that Gwen has?

Answers

Answer:

3x=96

Step-by-step explanation:

From the information given, you can write the following:

a+x=96 (1)

a=2x (2)

where a is the number of CDs that Sue has and x is the number of CDs that Gwen has.

You can replace 2 in 1 and you would have the following:

2x+x=96

3x=96

From this, you can isolate x to find its value:

x=96/3

x=32

According to this, the equation that could be used to find the number of CDs, x, that Gwen has is: 3x=96.


Help me please ASAP!!!!:::;;

Help me please ASAP!!!!:::;;

Answers

Answer:

the answer is the first choice

Step-by-step explanation:

A slope of 1 would mean that the m is 1, which is the number next to the x, so the choices that don't have a 1 there are wrong. Next pick one of the 2 remaining answer choices, and plug in the point (4,6) to test if it goes through that line. If the equation checks out, (ex. 6=6), then that's the answer! If it doesn't work (ex. -1=2), then test the other one.

Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? explain

Answers

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

What is meant by normal distribution?

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

What does a large sample confidence interval for  a population mean?

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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Q1. Anurag's office is 12 km away from his house. He takes an auto to travel 1/6 of the total distance, covers 4/5 of the remaining by bus and walks the rest. 5 i. If he repeats the same on the way back, then find the distance he walk every day ii. If he goes to office 5 days in a week, how much distance does he walk every week iii. Why do you think does he walk some distance daily?

Answers

Anurag walks 2 km every day on his way back.

i. To find the distance Anurag walks every day on his way back, we need to calculate the distance covered by walking.

Given that Anurag takes an auto to travel 1/6 of the total distance and covers 4/5 of the remaining distance by bus, the remaining distance he has to walk can be found by subtracting the distance covered by the auto and bus from the total distance.

Total distance = 12 km

Distance covered by auto = 1/6 * 12 km = 2 km

Remaining distance = Total distance - Distance covered by auto = 12 km - 2 km = 10 km

Distance covered by bus = 4/5 * 10 km = 8 km

Distance walked = Remaining distance - Distance covered by bus = 10 km - 8 km = 2 km

Therefore, Anurag walks 2 km every day on his way back.

ii. If Anurag goes to the office 5 days in a week, the total distance he walks every week can be calculated by multiplying the distance walked every day by the number of days he goes to the office.

Distance walked every week = Distance walked every day * Number of days

Distance walked every week = 2 km/day * 5 days/week = 10 km/week

Therefore, Anurag walks 10 km every week.

iii. Anurag walks some distance daily because the office is not directly accessible by auto or bus. Walking the remaining distance is necessary to reach his destination. Walking provides physical exercise and can also be a convenient and cost-effective mode of transportation for shorter distances. It allows Anurag to maintain an active lifestyle and may have additional benefits such as reducing carbon emissions and contributing to his overall health and well-being.

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Prizes and the chances of winning in a sweepstakes are given in the table below.
Prize Chances
$10,000,000 1 chance in 300,000,000
$350,000 1 chance in 150,000,000
$50,000 1 chance in 10,000,000
$20,000 1 chance in 1,000,000
$400 1 chance in 200,000
A watch valued at $75 1 chance in 6,000
(a) Find the expected value (in dollars) of the amount won by one entry.
(b) Find the expected value (in dollars) if the cost of entering this sweepstakes is the cost of a postage stamp (34 cents)

Answers

The expected value of the discrete distribution, for each case, is given as follows:

a) Amount won by one entry: $0.075.

b) If the cost is the cost of a postage stamp:  -$0.525.

How to obtain the expected value of a discrete distribution?

The expected value of a discrete distribution is obtained with the sum of each outcome multiplied by it's probabillity.

In this problem, the distribution for the prizes is given as follows:

P(X = 10,000,000) = 1/300,000,000.P(X = 350,000) = 1/150,000,000.P(X = 50,000) = 1/10,000,000.P(X = 20,000) = 1/1,000,000.P(X = 400) = 1/200,000.P(X = 75) = 1/6,000.

Hence the expected value for the prizes is:

E(X) = 10,000,000 x 1/300,000,000 + 350,000 x 1/150,000,000 + 50,000 x 1/10,000,000 + 20,000 x 1/1,000,000 + 400 x 1/200,000 + 75 x 1/6,000 = $0.075.

The cost of a postage stamp is of $0.6, hence the expected value considering this cost would be of:

0.075 - 0.6 = -$0.525.

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Solve for X :
3/9​=x/15​ X=
100​/25=x​/20 X=
5:2=X:10 X=

Answers

The values of x in the equations are as follows :

1) x = 5

2) x = 80

3) x = 25

Given,

1)

3/9​=x/15

Simplify to get x . Cross multiply the fractions,

3 * 15 = 9 * x

x = 5

2)

100​/25=x​/20

Simplify to get x . Cross multiply the fractions,

100 * 20 = 25 * x

x = 80

3)

5:2=X:10

Representing ratios in terms of fractions,

5/2 = x /10

Simplify to get x . Cross multiply the fractions,

5*10 = 2*x

x = 25

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a group of students played a game in which they earned points for answering questions correctly. the following dotplot shows the total number of points earned by each student.

Answers

The best description of the distribution is bimodal with a gap.

Here in the plot, we can see that there are two peaks and it implies that there are two modes.

This can be seen in a histogram as a distinct gap between two cohesive groups of bars. When two clearly separate groups are visible in a histogram, you have a bimodal distribution. Literally, a bimodal distribution has two modes, or two distinct clusters of data

We can see that there is a gap between the two modes. So the best description of the distribution is bimodal with a gap.

The following dot-Plot shows the bimodal with a gap.

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what is the probability that a student has a gpa under 2.0 given that he or she has skipped many classes?

Answers

The probability that a student has a GPA under 2.0 given that he has skipped many classes is 8/11.

From the table we see that,

The student who have a GPA under 2.0 = 80

The student who has skipped many classes = 80 + 25 + 5

The student who has skipped many classes = 110

Hence, the probability that a student has a GPA under 2.0 given that he has skipped many classes = The student who have a GPA under 2.0/The student who has skipped many classes

The probability that a student has a GPA under 2.0 given that he has skipped many classes = 80/110

The probability that a student has a GPA under 2.0 given that he has skipped many classes = 8/11

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The complete question is:

One thousand students at a city high school were classified both according to GPA and whether or not they consistently skipped classes.

What is the probability that a student has a GPA under 2.0 given that he has skipped many classes?

A. 0.080

B. 0.281

C. 0.285

D. 0.314

E. 0.727

what is the probability that a student has a gpa under 2.0 given that he or she has skipped many classes?

square root 27 minus square root 3

Answers

Answer:

3.46410161514

Step-by-step explanation:

the square root of 27 = 5.19615242271

and the square root of 3 = 1.73205080757

5.19615242271 - 1.73205080757 = 3.46410161514

hope this help

plz mark brainlest

All of the following statements are true, except . . .

The product of a and c is negative.
The product of b and c is positive.
The product of b and 0 is 0.
The product of a and b is positive.

All of the following statements are true, except . . .The product of a and c is negative.The product

Answers

Answer:

The product of b and c is positive.

Step-by-step explanation:

b is negative as its less than 0

c is > 0 and is thus positive

multiply these would be negative result

Answer:

The product of b and c is positive.

Step-by-step explanation:

had this question

Help me on the math problem

Help me on the math problem

Answers

Answer:

B

Step-by-step explanation:

rise over run the y-intercept is 3 and you go down 4 and run 3

consider the monty hall problem discussed in lecture. take the case where there are 6 doors. behind 5 doors there are goats and behind 1 door there is a car. you will pick a door and then the host will open 4 remaining doors revealing goats. assume that you always then switch to the last remaining door. what is the probability of winning the car?

Answers

The probability of winning the car in this Monty Hall problem with 6 doors is 83.33%.

In this scenario, there are 6 doors, with 1 car behind one of them and goats behind the other 5. You pick a door, and the host opens 4 other doors revealing goats. You always switch to the last remaining door.

To find the probability of winning the car, follow these steps:

1. Initially, there is a 1/6 chance you picked the car and a 5/6 chance you picked a goat.

2. If you picked a goat (5/6 probability), the host will open the other 4 doors with goats, leaving the car behind the last remaining door. In this case, switching will win you the car.

3. If you picked the car (1/6 probability), the host will still open 4 doors with goats, but switching would make you lose the car in this case.

Since you always switch, the probability of winning the car is the same as the probability of initially picking a goat, which is 5/6. So, the probability of winning the car is approximately 83.33%.

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What is the standard form of the parabola?

Answers

The standard form of a parabola is y = a(x - h)^2 + k, where (h,k) is the vertex of the parabola and "a" determines whether the parabola opens up (if a > 0) or down (if a < 0).

what is parabola?

A parabola is a U-shaped symmetrical curve. It is a type of conic section, formed by intersecting a cone with a plane parallel to its side. The shape of a parabola is determined by its equation, which can be written in standard form as y = ax^2 + bx + c, where a, b, and c are constants. The vertex of the parabola is located at the point (-b/2a, c - b^2/4a), and the axis of symmetry is a vertical line passing through the vertex. Parabolas have many applications in mathematics and physics, including in the design of reflective surfaces such as telescopes and satellite dishes.

what is symmetrical?

Symmetrical refers to having or exhibiting symmetry, which is a property of a shape or object that can be divided into two or more identical parts. When a shape or object is symmetrical, it looks the same on both sides of the line of symmetry. For example, a circle is symmetrical because any line passing through its center will divide it into two identical halves. A human face is also symmetrical because the left side and the right side are nearly identical. In mathematics, symmetry is an important concept that appears in various fields, including geometry, algebra, and calculus.

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solve the equation: 27 = 17 - 5y

Answers

Answer:

y = -2

Step-by-step explanation:

27 = 17 - 5y

27-17=17-5y-17

10=-5y

10/-5=-5y/-5

-2=y

Answer:

y = -2

Step-by-step explanation:

Find the Error A student found the slope of one segment on a line to be 4 and the slope of another segment on the same line to be 8/2. He concludes that the slope is different at different points on the line. Correct his thinking

Find the Error A student found the slope of one segment on a line to be 4 and the slope of another segment

Answers

If we simplify the fraction we will see that the slope is equal in the two segments of the line.

How to correct the student?

A linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept, both of these are constants.

In this case the student found the slope on one part to be 4, and on other part to be 8/2.

But if you solve that second quotient:

8/2 = 4

The slope is still 4, so in both segments the slope is the same, which means that the slope is equal at different parts of the line.

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Evaluate 5x 3 + 2 for x = -1.

6
-7
4
-3

Answers

Answer:

\(5 \times ( - 1)3 + 2 \\ \\ 5 - 3 + 2 \\ \\ = 4\)

Step-by-step explanation:

\(5 {x}^{3} + 2 \\ x = - 1 \\ 5 \times {( - 1)}^{3} + 2 \\ = - 5 + 2 \\ = - 3 \\ or \: 5x3 + 2 \\ = 5 \times - 1 \times 3 + 2 \\ = - 1 5 + 2 \\ = - 13 \\ thank \: you\)

Picture attached help please!

Picture attached help please!

Answers

The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

How to determine the missing lengths

Triangle a and b

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

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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which one is true
-1.5>-0.5
-1/2>0
-2.5 1.5

Answers

The first two aren’t true, I can’t see the sign for the third one but since the other two aren’t correct I’d assume the right answer is the third choice.

Answer:

A

Step-by-step explanation:

a number minus 3 is 5. write and solve an equation to find the missing number

Answers

a number can be written a "x".

"minus" is a key word for subtraction.

"is" is a key word for =.

So if we put that all together, we have

x-3=5

To solve it, we have to add 3, to cancel it out, and add 3 to 5.

x-3=5

+3 +3

x=8

---

hope it helps

One number exceeds another by 3. One third of their sum is 5 less than the smaller number. Find the numbers

Answers

Answer:

18 and 21 (I think)

Step-by-step explanation:

So, lets assume the equation is x + x + 3 is the 2 numbers (number 1 is x)

then divide by 3

You get:  (2x+3)/3 = x-5

then, multiply both sides by 3:

2x+3=3x-15

Simplify:

18 = x

18 is the smaller number

21 is the bigger one. (18+3)

You have an equally likely chance of choosing any integer from 1 through 50. Find the probability of the given event. A perfect square is chosen.

Answers

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

What is the solution set for 2(5x−3)>54?
I'll give brainliest to right answer

Answers

Answer:

x>6

Step-by-step explanation:

hopefully the answer is clear and understandable.

:)

What is the solution set for 2(5x3)&gt;54?I'll give brainliest to right answer

PLSSSS HELP!!

Find the surface area of the triangular pyramid.

a triangular pyramid - the base has side length 2.5 inches and height 2.2 inches and each face has height 5 inches

Answers

Answer:

31.25 in²

Step-by-step explanation:

Surface area of triangular pyramid

Perimeter, P = 4s = 4 * 2.5 = 10 inches

Lateral surface area = 0.5 * P * height = 0.5 * 10 * 5 = 25 inch²

The base area = s² = 2.5² = 6.25 inch²

Hence, surface are ao triangular pyramid ;

Lateral surface area + base area

= 25 inches + 6.25 inch²

= 31.25 in²

With the given information, which of these conclusions is reasonable? A.Town A and Town B had the same low temperatures. B.The temperatures in each town were the same every day. C.The mean low temperatures in Town A and Town B were the same. D.The variability of temperatures in Town A and Town B was the same.

Answers

Answer:

A. Town A and Town B had the same low temperatures.

Step-by-step explanation:

The towns both A and B had low temperatures is shown by the same rate of low temperatures.

five people are to be seated around a circular table. two seatings are considered the same if one is a rotation of the other. how many different seatings are possible?

Answers

24 different seatings are possible when five people are to be seated around a circular table such that two seatings are considered the same if one is a rotation of the other.

What is fundamental counting principle?

A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It asserts that if there are n ways to do something and then m ways to do something else, then there are nm methods to do both of these acts. The Fundamental Principle of Counting assists in determining how selection is made based on available options. The Fundamental Principle of Counting streamlines the method to choosing by taking into account all of the available options and their combinations in order to calculate the Probability.

Here,

Since there are 5 peoples,

let us fix the first person and remaining will be set according to that.

this can be arranged in,

(5-1)!=4!

=24 ways

When five persons are sitting around a circular table, 24 distinct seatings are available, with two seatings regarded the same if one is a rotation of the other.

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three semicircles of radius 1 are constructed on diameter $\overline{ab}$ of a semicircle of radius 2. the centers of the small semicircles divide $\overline{ab}$ into four line segments of equal length, as shown. what is the area of the shaded region that lies within the large semicircle but outside the smaller semicircles? express your answer in terms of $\pi$ and in simplest radical form.

Answers

(E) 7/6 π-√3/2

We divided the white region into 5/6 of a circle with radius $1$ and two equilateral triangles with side length $1$ by drawing four lines from the intersection of the semicircles to their centers. This gives the white region a size of 5/6 π+2.3/4=5/6π+3/2. The area of the shaded region is equal to the area of the white region minus the area of the large semicircle. This is equal to 2 π-(5/6 π+3/2)=7/6 π-3/2.

 

Note

First, it is 5/6 of a circle because the middle sector has a degree of 180-2.60=60, resulting in 60/360=1/6 of a circle.

The other two each have an area of 180-60/360=1/3 of a triangle

Therefore, the total fraction of the circle IS 1/6+2.1/3=1/6+4/6=5/6


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three semicircles of radius 1 are constructed on diameter $\overline{ab}$ of a semicircle of radius 2.

It is known that X has a uniform distribution with μ=0.5 minutes and σ=0.29 minutes. Suppose a random sample of 64 people is selected. The shape of the sampling distribution of X
ˉ is: Uniform Approximately Normal Normal not enough information to determine

Answers

In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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A motorcycle 500 feet from your current position is driving toward you at a constant rate of 50 feet per second. The distanced (in feet) of the motorcycle from you
you after t seconds is given by the equation |500 - 50t| - d = 0. At what times is the car 75 feet from you?

A motorcycle 500 feet from your current position is driving toward you at a constant rate of 50 feet

Answers

Answer:

Step-by-step explanation:

Step 1: Substitute d for 75

|500-50t| - 75 = 0

Step 2: Move the constant to one side

|500-50t| = 75

Step 3: Separate the equation into two possible cases

500−50t=75

500−50t=−75​

Step 4: Solve the equation for t

t = 17/2 = 8.5

t = 23/2 = 11.5

Solution:

D: 8.5 seconds and 11.5 seconds

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