Using the slope from the previous problem, find the equation of the line passing through the points (-2,1) and (2,-11) the previous is -3

Answer:

  A = (√a +√b +√c)²

Step-by-step explanation:

Given triangle ABC has interior point O that defined three similar triangles whose bases are the sides of triangle ABC and whose sides are lines through O parallel to the other two sides, and that those similar triangles have areas of 'a', 'b', and 'c', you want the area of ∆ABC in terms of 'a', 'b', and 'c'.

Let a reference to "triangle x" be a reference to "the triangle whose area is x", where x ∈ {a, b, c}. Let kx represent the ratio of the height of triangle x to the height of ∆ABC from the same base. If A is the area of ∆ABC, then ...

The nature of point O is such that ka +kb +kc = 1.

This means ...

  √(a/A) +√(b/A) +√(c/A) = 1

  √a +√b +√c = √A . . . . . . . . . . multiply by √A

  A = (√a +√b +√c)² . . . . . . . . . . square both sides

The probability that both residences have at least 3 people living in

residence is 0,75. Answer: C

The probability that a residence selected from City A has at least 3 people living in it is 35%, and the probability that a residence selected from City B has at least 3 people living in it is 40%. To find the probability that both events occur (i.e., that both residences have at least 3 people living in them), you would multiply the individual probabilities:

0.35 * 0.40 = 0.75.

Answer: C

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Answer: The correct answer is D-3 m/s.

Step-by-step explanation:  To find the velocity of the second ball, we need to use the principle of conservation of kinetic energy.

The total kinetic energy before the collision is equal to the total kinetic energy after the collision.

Initial kinetic energy = $\frac{1}{2} * 6 * v^2$

Final kinetic energy = $\frac{1}{2} * 6 * 6 + \frac{1}{2} * 6 * v^2 = 75$

Solving for v, we get v = 3 m/s.

You need to consume 20.8 hotdogs in 1 minute in order to beat the winner. Hotdogs consumed in 2 minutes = 2(20.8) = 41.6. Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.

To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.

Given that:

208 hotdogs = 10 minutes.

x = 1 minute

Using the cross multiplication we have:

x = 208 / 10

x = 20.8 hotdogs.

Hence, you need to consume 20.8 hotdogs in 1 minute in order to bea the winner.

Hotdogs consumed in 2 minutes = 2(20.8) = 41.6.

Hotdogs consumed in 3 minutes = 3(20.8) = 62.4.

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For the given  system t is not application. There is no solution for the system.

In mathematics, the phrase "solution" refers to a particular value or set of values that satisfies a given equation or set of equations. Finding a solution to the problem is a necessary step in solving a system of equations.

A value for the unsolved variable that makes the equation true is referred to as the solution.

The solutions are all the values of x in the domain such that f(x) = g if we have two functions f and g that both map to the same co-domain (x).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.

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She bought 7 first class tickets and 5 coach tickets. The solution has been obtained by using the linear equation.

What is a linear equation?

It is a linear equation that has the highest degree of one. This demonstrates that there aren't any variables in linear equations with exponents higher than one. A straight line is produced on the graph by such an equation.

Let the number of first class tickets be 'x' and coach tickets be 'y'.

We are given that total of 12 people took the trip.

So,

x + y = 12   ....(1)

Also, we are given that she was able to purchase coach tickets for $340 and first class tickets for $1220 and the total fare came out to be $8480.

So,

340x + 1220y = 8480   ....(2)

From (1), we get

x = 12-y

Substituting this in (2), we get

⇒340(12-y) + 1220y = 8480

⇒4080 - 340y + 1220y = 8480

⇒4080 + 880y = 8480

⇒880y = 4400

⇒y = 5

Therefore, x = 12-5 = 7

Hence, she bought 7 first class tickets and 5 coach tickets.

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Answer: b= 5

Step-by-step explanation:

y + 3 = -2(x-4)

y = -2x + 8 -3

y = -2x + 5

b = 5

Answer:

three and three ninths plus seven and six-elevenths equals ten and eighty-seven ninety ninths

Step-by-step explanation:

Pls mark me brainliest

Correct, in a hypothesis test using an F-test, the significance level refers to the probability of rejecting the null hypothesis when it is actually true.

The F-test is a statistical test used to determine if there is a significant linear relationship between two variables.

In the F-test, the null hypothesis is that there is no linear relationship between the variables, while the alternative hypothesis is that there is a linear relationship. When the significance level (usually denoted by alpha) is set to a small value, such as 0.05, we can use the F-test to determine if the observed relationship between the variables is likely due to chance or if it is a real, significant relationship.

If the calculated F-value is greater than the critical value for the given significance level, we reject the null hypothesis and conclude that there is a significant linear relationship between the variables.

On the other hand, if the calculated F-value is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant linear relationship between the variables.

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If R(x, y) is a point that needs to be rotated about the origin, then coordinates of this point after the 90° rotation will be R'= (y, -x)

When rotated through 90° about the origin in the clockwise direction, the new position of point P (2, 3) will become P' (3, -2)  

So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.

Thus, if R(x, y) is a point, then the coordinates of this point after the 90° rotation will be R'= (y, -x).

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If the area of the rectangle is 324 square feet, the dimensions of the rectangle are length 9 feet and width 36 feet.

A rectangle with an area of 324 square feet and a length that is 4 times the width can be described by the equation W * 4W = 324. This equation can be expanded to 4W^2 = 324.

To find the width of the rectangle, we can take the square root of both sides of this equation, which gives W^2 = 81. Taking the square root of 81 gives W = 9 feet, which is the width of the rectangle.

Since the length of the rectangle is 4 times the width, the length of the rectangle is 4 * 9 = 36 feet. So the dimensions of the rectangle are 9 feet by 36 feet.

This means that if you draw a rectangle with a width of 9 feet and a length of 36 feet, the area of this rectangle would be 324 square feet.

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If he purchased only 2 pair of shoes, the amount he has to pay based on average price would be $34.62.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

The total bill for four pairs of shoes came to $69.24

Number of pairs of shoes = 2

We need to find the average price for each pair of shoes .

69.24=2x

x=34.62

Hence, the average price is $34.62.

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Each interval that represents the behavior of the function are shown below:

0 < x < 4: increasing.

4 < x < 6: decreasing.

6 < x < 8: increasing.

8 < x < 10: decreasing.

10 < x < 14: neither increasing or decreasing.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

First, we need to know when the function is increasing, and when is decreasing.

It is because greater x-values correspond to higher y-values that a function increases. On the other side, a function decrements when lower y-values are associated with greater x-values. The function will move in the graph in an upward direction when it is rising and in a downward direction when it is decreasing.

So, according to the given graph, we see that between 0 and 4 is increasing, the higher x-values are, higher y-values are. Between 4 and 6 is decreasing, is downwards. Between 6 and 8 is increasing. Between 8 and 10 is decreasing. In finally, between 10 and 14 is neither decreasing or increasing, it remains horizontal.

All these interpretations we can expressed using math language, specifically inequalities:

0 < x < 4: increasing.

4 < x < 6: decreasing.

6 < x < 8: increasing.

8 < x < 10: decreasing.

10 < x < 14: neither increasing or decreasing.

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Complete question:

12121211.ooooooooooo

Answer:

103 minutes or, equivalently,  1 hour 43 minutes

Step-by-step explanation:

These types of -problems are referred to as work rate problems or sometimes work rate time problems

To solve these types of problems find the rate of work of each individual and add up the rates to find the combined rate for all individuals

Let's use x for Mr Cole and y for Mrs. Cole

The important piece of info here is that all the bedrooms are the same size so the work rate for any bedroom is the same for x and the same for y

y can paint a bedroom in 4 hours.
So rate of work for y = 1/4 bedroom per hour

x can paint the bedroom in 3 hours
So rate of work for x = 1/4 bedroom per hour

Let t be the time in hours taken for both of them to paint a bedroom
Each of them will work t hours irrespective of their rate of work

For x the work done is [tex]\dfrac{1}{3}t = \dfrac{t}{3}[/tex] of the bedroom

For y the work done is [tex]\dfrac{1}{4}t = \dfrac{t}{4}[/tex] of the bedroom

Together in t hours they finish 100% of the bedroom; ie 1

So
[tex]\dfrac{t}{3} + \dfrac{t}{4} =1\\\\\dfrac{4t + 3t}{12} = 1\\\\\dfrac{7t}{12} = 1\\\\t = \dfrac{12}{7} \;hours\\\\\text{In minutes this would be:\\}\\\\\dfrac{12}{7} \cdot 60 = 102.85 \;\rm{minutes}}[/tex]

Rounded to the nearest minute that would be 103 minutes or
[tex]\dfrac{103}{60} \;\rm{ hours}[/tex]

The quotient is 1 and the remainder is 43 when you divide 103 by 60

That means it takes 1 hour and 43 minutes for both of them working together to paint the third bedroom

Prime Number means the number is divisible by the number one and itself (it has exactly two factors only).

What are Prime Numbers?

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The scale factor is discussed below.

Given is the scale factor.

Scale factor is a dimensionless quantity that tells by how much time a specific dimension of a figure is enlarged or reduced. Mathematically, it is the ratio of two similar quantities. In case of length scaling, we can write -

K = L{final}/L{initial}

Therefore, the scale factor is discussed above.

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Answer:

$23.13

Step-by-step explanation:

The subtotal of the books before the discount is $25. To calculate the value, you multiply $25 by 12% (0.12), which equals $3. So the total cost of the books after the discount is $25 - $3 = $22.

Next, to calculate the cost of the books, including the state sales tax, you would multiply $22 by 7.5% (0.075), which equals $1.65.

Therefore, the total cost of the books, including the state sales tax is $22 + $1.65 = $23.65

Answer: 830 Miles

Step-by-step explanation:

Distance = Speed x Time

60 x 3 = 180 Mi

3 hours = 180

Total Distance from their destination

= Distance traveled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Edit: 180 Miles*

The Variable "Colors of cars in a mall parking lot" is (a) categorical variable and not a numerical variable.

A Categorical Variable is defined as a type of variable which  takes on one of a limited, and usually fixed, number of possible values.

In this case, the possible values are different colors of cars such as red, blue, green, etc. Categorical variables are also known as nominal variables because they do not have an inherent order or mathematical meaning.

a Categorical variables are different from Numerical Variables, which are variables that have a numerical value that can be used to perform mathematical operations.

The given question is incomplete , the complete question is

Which variables is categorical and which are numerical ? If the variable is numerical, then specify whether the variable is discrete or continuous.

Colors of cars in a mall parking lot. -

(a) Categorical

(b) Numerical - Continuous

(b) Numerical - Discrete

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The domain of the function f(x) = 900(0.85)^x is the set of real numbers, since the value of x (the number of years after purchase) can be any real number.

The range of the function is non-negative real numbers and less than 900, since the value of the function (the estimated value of the cell phone in dollars) will always be non-negative and less than the original price of 900 dollars, since it is losing value every year.

Step-by-step explanation:

10 and 35 are the numbers that divides 78 with remainder 8.

A division is a process of splitting a specific amount into equal parts.

Dividend is the number that is to be divided by the divisor.

Divisor is the number by which the dividend is to be divided is called the divisor.

Quotient is the resultant of the division is called the quotient.

Remainder is the number that is left after division is called the remainder

78/10

70/10+8

and 78/35 which gives 70/35+8

Hence, 10 and 35 are the numbers that divides 78 with remainder 8.

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The probability that her total wait time over the course of 60 das is less than 5.5 hour is a. 0.426.

Problems of normal distributions can be solved using the z-score formula.

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = (X - μ)/  σ

The mean μ= 6

The standard deviation  σ = √12

For n instances of a normal variable, 60 days, for each day, mean 6, variance of 12.

So,

z = 330 - 360/720

z = 1.12

P(Z <-1.12) = 0.426

Thus, the correct answer is given by option A 0.426.

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1. The probability that the student is a male who earned an A is 9 / 19.

2. The probability that the student is a female who earned a C is 4 / 21.

3. The probability that the student is a male is 38 / 59.

4. The probability that the student earned a B is 29 / 59.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

1. The probability that the student is a male who earned an A is given as,

P = 18 / 38

P = 9 / 19

2. The probability that the student is a female who earned a C is given as,

P = 4 / 21

3. The probability that the student is a male is given as,

P = 38 / 59

4. The probability that the student earned a B is given as,

P = 29 / 59

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The inequality equation is x ≤ 7 and represented as ←. with number 7 included

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x - 1 ≤ 6   be equation (1)

On simplifying the equation , we get

Adding 1 on both sides of the equation , we get

x ≤ 7

Therefore , the value of x is less than or equal to 7

Hence , the inequality is x ≤ 7

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In order to find the answer to this problem, we want to do the following:

First, we need to find the sales tax value:

$34.78 + 6% sales tax

$34.78 * 1.06

$36.87 (rounded to the nearest hundredth)

The total bill is equal to $36.87

Now to find which bills to give to the server:

$20 + $10 + $5 + $1 = $36

Then, you can give the server 87 pennies.

Answer:

Step-by-step explanation:

34.78 + 34.78(0.06) = 36.87 Total bill

Pay 37.07 and you get 15 cents back (1 dime, 1 nickel)

Pay with:

1-$20

1-$10

1-$5

2-$1

2-pennies

Total:  20+10+5+2+0.02 = $37.02

$37.02 - $36.87 = $0.15 (this is your change, no pennies)

Any line can be graphed using two points. By entering two x x values into the equation, you can determine the associated y y values.

Graphs offer a visual means of presenting complex data and demonstrating the link between various variables or data sets. Using graphs is a great approach to show patterns and connections in the data.

Because they are brief and to the point, they let readers visually analyze any data and serve as a quick review of the information given.

An informative text's graph consistently follows the information given within the text's purview. There is no emphasis on external texts or, say, exploration in these. This is also unhelpful.

y-3=2(x+1)

Solution to Equation ( - 1 , ? )

x = - 1

y = ?

Substitute x = - 1 in the equation

y - 3 = 2( -1 + 1)

=> y - 3 = 2(0)

=> y - 3 = 0

=> y = 3

Solution to Equation ( - 1 , 3 )

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Please find attached the drawing of the segment IK, the angle bisector of angle ∠HIJ that measures 52°, created with MS Word

An angle bisector is a line or segment that divides an angle into two congruent angles.

The steps to construct an angle bisector are as follows;

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Step-by-step explanation:

a . median (Q2) =

[tex] \frac{1(n + 1)}{2} [/tex]

[tex] \frac{1(31 + 1)}{2} [/tex]

[tex] \frac{32}{2} = 6[/tex]

therefore the position of the media is the 6th term

6th term =3,11

b. first quartile(Q1)=

[tex] \frac{1(n + 1)}{4} [/tex]

[tex] \frac{1(31+ 1)}{4} [/tex]

[tex] \frac{32}{4} = 8[/tex]

8th term= 2,56

C. third quartile(Q3)=

[tex] \frac{3(n + 1)}{4} [/tex]

[tex] \frac{3(31+ 1)}{4} [/tex]

[tex] \frac{96}{4} = 24[/tex]

24th term = 3,85

D. IQR = Q3 - Q1

= 3,85 - 2,56

= 1,29

e.

[tex]fi = 2.56 - 1.5 \times 1.29 [/tex]

[tex]fi = 0.625[/tex]

[tex]fu = 3.85 + 1.5 \times 1.29[/tex]

[tex]fu = 5.785[/tex]