a. If the slope of a line is 3 and a point on the line is (1, -2), the y-intercept of the line is at the point with coordinates. Show your work. PLEASE HELP ASAP

Answer:

The numbers that make up today's date—12, 16, and 20—form a Pythagorean triple. That is, 12² + 16² = 20².

Step-by-step explanation:

Answer:Yes, these are pythagorean triplets because they are multiples of 4. 4 times 3 is twelve.4 times 4 is 4.And 4 times 5 is 20.

Answer: I believe the answer is M= -4

Step-by-step explanation:

a. The equation connecting y and x is: y = 5x.

b. The value of y = 60.

Given that y is directly proportional to x, the equation that is connecting y and x can be expressed as y = kx, where k is the constant of proportionality.

a. We are given that when y = 30, x = 6, therefore, find the value of k by substituting the values of x and y into y = kx:

30 = k(6)

30/6 = k

5 = k

k = 5

Substitute the value of k into y = kx to write the equation:

y = 5x

b Substitute x = 12 into y = 5x:

y = 5(12)

y = 60

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Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1

a) The probability of matching exactly 5 out of 5 winning numbers is given by the number of ways to choose 5 winning numbers out of 40, divided by the total number of possible outcomes:

Probability of matching 5 out of 5 = (Number of ways to choose 5 winning numbers out of 40) / (Total number of possible outcomes)

The number of ways to choose 5 winning numbers out of 40 is given by the combination formula:

C(40,5) = 40! / (5! * (40-5)!) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008

The total number of possible outcomes is the number of ways to choose any 5 numbers out of 40, which is also given by the combination formula:

C(40,5) = 40! / (5! * (40-5)!) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008

Therefore, the probability of matching exactly 5 out of 5 winning numbers is:

Probability of matching 5 out of 5 = 658008 / 658008 = 1

b) The probability of matching exactly 4 out of 5 winning numbers is given by the number of ways to choose 4 winning numbers out of 5 and one non-winning number out of 35, divided by the total number of possible outcomes:

Probability of matching 4 out of 5 = (Number of ways to choose 4 winning numbers out of 5) * (Number of ways to choose 1 non-winning number out of 35) / (Total number of possible outcomes)

The number of ways to choose 4 winning numbers out of 5 is 5, since there are 5 different ways to choose which of the 5 winning numbers will not be matched.

The number of ways to choose 1 non-winning number out of 35 is given by the combination formula:

C(35,1) = 35

The total number of possible outcomes is the same as before:

C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008

Therefore, the probability of matching exactly 4 out of 5 winning numbers is:

Probability of matching 4 out of 5 = 5 * 35 / 658008 = 0.000189

c) The probability of matching exactly 3 out of 5 winning numbers is given by the number of ways to choose 3 winning numbers out of 5 and two non-winning numbers out of 35, divided by the total number of possible outcomes:

Probability of matching 3 out of 5 = (Number of ways to choose 3 winning numbers out of 5) * (Number of ways to choose 2 non-winning numbers out of 35) / (Total number of possible outcomes)

The number of ways to choose 3 winning numbers out of 5 is given by the combination formula:

C(5,3) = 5! / (3! * (5-3)!) = 10

The number of ways to choose 2 non-winning numbers out of 35 is given by the combination formula:

C(35,2) = 35! / (2! * (35-2)!) = 35 * 34 / (2 * 1) = 595

The total number of possible outcomes is the same as before:

C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008

Therefore, the probability of matching exactly 3 out of 5 winning numbers is:

Probability of matching 3 out of 5 = 10 * 595 / 658008 = 0.00905

d) The probability of matching exactly 2 out of 5 winning numbers is given by the number of ways to choose 2 winning numbers out of 5 and three non-winning numbers out of 35, divided by the total number of possible outcomes:

Probability of matching 2 out of 5 = (Number of ways to choose 2 winning numbers out of 5) * (Number of ways to choose 3 non-winning numbers out of 35) / (Total number of possible outcomes)

The number of ways to choose 2 winning numbers out of 5 is given by the combination formula:

C(5,2) = 5! / (2! * (5-2)!) = 10

The number of ways to choose 3 non-winning numbers out of 35 is given by the combination formula:

C(35,3) = 35! / (3! * (35-3)!) = 35 * 34 * 33 / (3 * 2 * 1) = 6545

The total number of possible outcomes is the same as before:

C(40,5) = 40 * 39 * 38 * 37 * 36 / (5 * 4 * 3 * 2 * 1) = 658008

Therefore, the probability of matching exactly 2 out of 5 winning numbers is:

Probability of matching 2 out of 5 = 10 * 6545 / 658008 = 0.0998

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Answer:

x = - 3 ± \(\sqrt{2}\)

Step-by-step explanation:

x² + 6x + 7 = 0 ( subtract 7 from both sides )

x² + 6x = - 7

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 7 + 9

(x + 3)² = 2 ( take square root of both sides )

x + 3 = ± \(\sqrt{2}\) ( subtract 3 from both sides )

x = - 3 ± \(\sqrt{2}\)

Answer:

I honestly dont know

Step-by-step explanation:

Your answer is 24! If you work backwards and divide 120 by 5, you get 24. To check your work, multiply 24 by 5 to get 120. Hope this helps! Please mark brainliest and have an amazing rest of your day. Stay safe! xx

The number 24 divides 120 gives the Quotient 5.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Quotient = 5

Dividend = 120

Divisor = x

So, Dividend = Divisor . Quotient

120 = x(5)

5x = 120

x= 120/5

x= 24.

Thus, the required number is 24.

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Answer:

48

Step-by-step explanation:

\(y=3x\) on a graph:

Answer: 3g - 5 = 19 ; 8 pounds

Step-by-step explanation:

Given that :

Difference between weight of 3 gallons of a liquid and a brick that weighs 5 pounds = 19 pounds.

Mathematically,

Let one gallon of the liquid = g

Hence,

(3 × g) - 5pounds = 19 pounds

3g - 5 = 19

The weight of one gallon(g) of the liquid equals :

From the expression above :

3g - 5 = 19

3g = 19 + 5

3g = 24

Divide both sides by 3

3g/3 = 24 /3

g = 8 pounds

Hence, weight of 1 gallon of the liquid is 8 pounds.

The rate column will be:

A= 30

B= 20

C= x miles

D= x miles

It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.

In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.

Therefore, the rate column will be:

A= 30

B= 20

C= x miles

D= x miles

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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =

Answer:

Volume of a pyramid =3Base Area×Height

The completed table for the amount of water in the tank at the given time given a constant flow rate of 1.6 is given below :

From the table given :

0.8 gallons of water flowed into the tank in 0.5 minutes ;

Since the flow rate is constant ; we can relate the amount of water, w, flowing into the tank at time, t as thus ;

w α t

w = kt ; where, k = constant of proportionality ;

We can obtain the value of k when w = 0.8 and t = 0.5

Therefore,

0.8 = 0.5k

Divide both sides by 0.5

(0.8÷0.5) = k

k = 1.6

Hence the flow rate of water into the tank is 1.6 ; the equation can be then be written thus ;

w = 1.6t

Let's find ;

w, when t = 1

w = 1.6(1)

w = 1.6

w, when t = 3

w = 1.6(3)

w = 4.8

4.8t, when w = 40

40 = 1.6t

Divide both sides by 1.6

(40 ÷ 1.6) = t

t = 25

Therefore, the constant of proportionality, k is 1.6

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Answer:

89m^2

Step-by-step explanation:

9x5=45

(13-9)x11=44

45+44=89

y=1/3x+4 is the equation of line passing through (3, 5) and parallel to -x+3y=6

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

-x+3y=6

3y=6+x

Divide both sides by 3

y=2+1/3x

y=1/3x+2

slope is 1/3

In parallel lines the slope will remain same

We need to find the equation of line passing through (3, 5) and parallel to 3y=6+x

5=1/3(3)+b

5=1+b

b=4

Hence, y=1/3x+4 is the equation of line passing through (3, 5) and parallel to -x+3y=6

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Answer:

It will be straight line on x equal zero and y equal 6 horizontal straight line

x× 4

hope.it helps

plz mark as brainliest

The answer is c. Chi-square test. A Chi-square test is an inferential statistical technique used to analyze the relationship between two categorical variables organized in a bivariate table.

In a chi-square test, the data is organized into a contingency table, also known as a cross tabulation or bivariate tabulation. This table displays the frequency distribution of two categorical variables, showing how they are related or associated with each other.

The chi-square test evaluates whether there is a significant relationship or association between the variables. It calculates a test statistic based on the observed frequencies in the contingency table and compares it to the expected frequencies under the assumption of independence between the variables. If the test statistic is sufficiently large, it indicates that there is a significant relationship between the variables, rejecting the null hypothesis of independence.

The chi-square test is widely used in various fields, including social sciences, market research, and epidemiology, to determine if there is a significant association between categorical variables. It provides valuable insights into the relationship between variables and helps researchers make informed conclusions based on their data.

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Answer:

7

Step-by-step explanation:

as a fraction it would be 7/1 but it is a half so it goes in evenly

Answer:

7

Step-by-step explanation:

Lets turn 3 1/2 to an improper fraction.

3*2=6

6 + 1 = 7

7/2

Because dividing by 1/2 means multiplying by 2, the answer is 7.

Answer:

Step-by-step explanation:

A. The data appears to be reported. The heights occur with roughly the same frequency.

A histogram is a graphical representation of a frequency distribution, where the x-axis represents the values of the data, and the y-axis represents the frequency of those values. If the heights are reported, the last digit of the heights should be randomly distributed and the frequency of each digit should be roughly the same, which is the case in a histogram with uniform distribution. This is in contrast to a histogram with non-uniform distribution, where certain heights occur a disproportionate number of times, which is more likely to happen when the heights are measured. Therefore, based on the information provided, it can be concluded that the data appears to be reported.

The probability density function (PDF) is a mathematical function that describes the probability of a random variable taking a certain value. It is a measure of the probability of a given outcome within a given range.

Probability is a branch of mathematics used to quantify the likelihood of an event occurring. It is used to calculate the chances of a certain outcome or a combination of outcomes in a given situation. Probability is expressed as a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. Probability is used to make predictions, analyze data, and understand the complexity of the world around us.

b. The probability of generating a random number between 0.25 and 0.85 (to 1 decimal place) is 0.6.

c. The probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place) is 0.4.

d. The probability of generating a random number with a value greater than 0.6 (to 1 decimal place) is 0.4.

e. The mean of the given set of 50 random numbers is 0.527084 and the standard deviation is 0.307766.

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A mathematical function known as the probability density function (PDF) calculates the likelihood that a random variable will have a particular value. It is a measurement of the likelihood of a specific outcome within a specific range.

What is probability?

Mathematics' branch of probability is used to determine how likely an event is to occur. It is employed to determine the probabilities of a specific outcome or a mixture of outcomes in a particular circumstance. A number between 0 and 1 is used to represent probability, with 1 denoting a certain event and 0 denoting an impossibility. To generate predictions, examine data, and comprehend how complicated the world is around us, probability is used.

b. The probability of generating a random number between 0.25 and 0.85 (to 1 decimal place) is 0.6.

c. The probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place) is 0.4.

d. The probability of generating a random number with a value greater than 0.6 (to 1 decimal place) is 0.4.

e. The mean of the given set of 50 random numbers is 0.527084 and the standard deviation is 0.307766.

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The box plot in option B correctly summarizes the data

In order to find the box plot that summarizes the data, we need to know the range and the median of the data:

The data ranges from 1 to 14 (the lowest is 1 and the highest is 14)

The median data value is the value in the middle when the data are arranged according to their size(it's already arranged). Since we have 10 data points the middle values are 9 and 9. Therefore:

Median  = 9+9/2 = 9

Since the range of our data is 1 to 14 and the median is 9. Therefore, the box plot in option B correctly summarizes the data

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Answer:

It's B

Step-by-step explanation:

I do it already

Answer:

Domain: (negative infinite, zero) U (0, infinite)

Range: ( negative infinite, -3) U (-3, infinite)

Step-by-step explanation:

I don't really know how to explain this because I can't use some symbols that are needed. But, yeah.

The value of b from the inequality is 8, 8.1, 9 and 13

An equation is an expression showing the relationship between two or more numbers and variables.

An inequality is used to show that two numbers or variables are non equal to each other.

Dividing an inequality by negative 1, changes the inequality sign.

Given that:

-b ≤ -8

Dividing both sides of the inequality by -1:

-b / -1 ≤ -8/-1

b ≥ 8 (the inequality sign changes)

b = [8, ∞)

The value of b from the inequality is [8, ∞)

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Answer:

(5, 0) is the set of coordinates that satisfies the equations 3x - 2y = 15 and 4x - y = 20

Step-by-step explanation:

The two equations form a system of equations and solving the system will allow us to determine the set of coordinates that satisfies the equations:

Method:  Elimination:

We can eliminate the ys first by multiplying the second equation by -2:

-2(4x - y = 20)

-8x + 2y = -40

Now we can add the two equations to solve for x:

    3x - 2y = 15

+

    -8x + 2y = -40

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

-5x = -25

x = 5

Now we can plug in 5 for x in any of the two equations to find y.  Let's use the first equation:

3(5) - 2y = 15

15 - 2y = 15

-2y = 0

y = 0

Thus (5, 0) is the set of coordinates that satisfies the equations.

Check the validity of the answer:

We can check that our answer is correct by plugging in 5 for x and 0 for y in both equations and seeing if we get 15 on both sides for the first equation and 20 on both sides for the second equation:

Checking that x = 5 and y = 0 satisfy the first equation:

3(5) - 2(0) = 15

15 - 0 = 15

15 = 15

Checking that x = 5 and y = 0 satisfy the second equation:

4(5) - (0) = 20

20 - 0 = 20

20 = 20

Thus, our answer is correct.

When a set of coordinates satisfies a system of equations, it also means that the set of coordinates is the point where the two equations intersect.  I attached a picture from Desmos that shows how the coordinates (5, 0) is the point where 3x - 2y = 15 and 4x - y = 20 intersect

the value of x from step 2 into the second equation:4(5) - y = 20y = 4(5) - 20y = 0Therefore, the set of coordinates that satisfies the given equations is (5,0).

The given equations are:3x - 2y = 154x - y = 20We are supposed to find out the set of coordinates that satisfies the given equations. In order to do that, we can use the method of substitution. The steps are given below:Rearrange the second equation in order to isolate y:4x - y = 20y = 4x - 20Substitute the value of y from step 1 into the first equation:3x - 2(4x - 20) = 153x - 8x + 40 = 15-5x = -25x = 5Substitute the value of x from step 2 into the second equation:4(5) - y = 20y = 4(5) - 20y = 0Therefore, the set of coordinates that satisfies the given equations is (5,0).

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The first and third linear systems are possible and the second and the fourth have no solution.

(a) A linear system of 3 equations and 3 unknowns can have infinitely many solutions if the equations are linearly dependent or if the system represents a plane intersecting a line or three planes intersecting at a single point. An example of an augmented row-reduced echelon matrix that satisfies this description could be:

[ 1  0  0 |  3 ]

[ 0  1  0 | -2 ]

[ 0  0  0 |  0 ]

(b) A linear system of 3 equations and 4 unknowns cannot have exactly one solution. This is because there are more unknowns than equations, which leads to an underdetermined system. Therefore, there will be infinitely many solutions or no solutions at all.

(c) A linear system of 3 equations and 2 unknowns can have exactly one solution if the equations represent three lines that intersect at a single point. An example of an augmented row-reduced echelon matrix that satisfies this description could be:

[ 1  0 |  2 ]

[ 0  1 | -3 ]

[ 0  0 |  0 ]

(d) A linear system of 3 equations and 2 unknowns cannot have a unique solution. This is because there are more equations than unknowns, resulting in an overdetermined system. Therefore, there will be either infinitely many solutions or no solutions at all.

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There seems to be some missing information or errors in the question. Some of the integrals have incorrect notation and some of the given values seem to be irrelevant. Without complete information, it is not possible to provide accurate solutions to the given integrals. Please provide the complete and accurate question.

Step-by-step explanation:

The cahnce of that is

  first card   diamond   13/52

  Now there are 51 cards and 12 diampnds left

      second card diamond  12/ 51

          13/52 * 12/51  = 5.88%      ( 1/17)