Given the set of all of the integers from 25 to 36, what is the probabilityof choosing a number that is a multiple of 6?If you enter your answer as a decimal, round to the thousandths place.

Explanation:

∠1 congruent ∠4

XP congruent to TY

Since R is midpoint, it divides XY into two equal parts

So, XR is congruent to RY

∠QRP is congruent to ∠SRT. Since the angles are vertical angles

QP is parallel to TS

∠PQR is congruent to ∠TSR since both angles ar

Answer:

7

Step-by-step explanation:

So:a=3

b=(-2)

c=2

Substitute the numbers into each letters

so a is represented by 3,c by 2 and b -2

therefore giving us: 2

3+(-2)=9+(-2)=7

Step-by-step explanation:

Given

f(x) = 2x - 4

Then

f(2) = 2 * 2 - 4

= 4 - 4

= 0

Therefore f(2) = 0 .

Hope this helps :)

Answer:

0.09

Step-by-step explanation:

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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Answer:

Option B is correct

Step-by-step explanation:

The amount of time it takes to complete a reading assignment is not concerned with publishing year of the book (it might be published already).

The amount of time it takes to complete a reading assignment is also not related to the cost of the book (it might be purchased already)

The amount of time it takes to complete a reading assignment is related to the number of pages. Because if you complete a reading assignment, you might need to read all of the pages in the assignment.

Hope this helps!

:)

Answer:

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

Step-by-step explanation:

The average speed is given by the following equation:

\(v = \frac{d}{t}\)

From 10A.M. to noon.

You traveled at 50mph during 2 hours. So how long you traveled?

\(50 = \frac{d}{2}\)

\(d = 50*2\)

\(d = 100\)

You traveled 100 miles.

What was your average speed over the time interval from 9 A.M. to noon

From 9 A.M. to 10 A.M, you did not travel.

From 10 P.M. to noon, 100 miles.

So 100 miles during 3 hours.

\(v = \frac{d}{t} = \frac{100}{3} = 33.33\)

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

the answer is 0.79 rounded to the nearest hundreth

Step-by-step explanation:

The area of the triangle below 8 yards

What is triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Triangles are three-sided shapes. The many kinds of triangles go by various names. The size of the angles and the length of the sides determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.7-15=8

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Answer:

The missing term is 10

Step-by-step explanation:

2/11=x/55

cross multiply

2*55=11x

x=10

I hope this helps :)

Answer:

D. ∠2 and ∠8

Step-by-step explanation:

common sense lol

Answer:

8 significant figures should be provided.

Step-by-step explanation:

I believe I am correct, but check your answer anyways.

Answer:

The answer is 1/14w-8

The z-score for the lowest final grade for a freshmen is given as follows:

Z = -1.83.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 74.38, \sigma = 4.445, X = 66.25\)

Hence the z-score for the lowest final grade for a freshmen is obtained as follows:

Z = (66.25 - 74.38)/4.445

Z = -1.83.

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a. This sequence is geometric because each term is obtained by multiplying the previous term by 2.

b. This sequence is arithmetic because each term is obtained by adding 3 to the previous term.

c. This sequence is arithmetic because each term is obtained by adding 5 to the previous term.

d. This sequence is geometric because each term is obtained by multiplying the previous term by 10.

A geometric sequence is a sequence in which each term is obtained by multiplying the previous term by a fixed number (the common ratio).

For example, the sequence 1, 2, 4, 8, 16 is a geometric sequence with a common ratio of 2.

An arithmetic sequence is a sequence in which each term is obtained by adding a fixed number (the common difference) to the previous term.

For example, the sequence 5, 10, 15, 20, 25 is an arithmetic sequence with a common difference of 5.

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Answer:

\(x = 1500\)

Step-by-step explanation:

\( \frac{x}{10} = 150\)

Move 10 to multiply 150.

\(x = 150 \times 10 \\ x = 1500\)

Answer Check

Substitute x = 1500 in the equation.

\( \frac{1500}{10} = 150 \\ 150 = 150\)

The equation is true for x = 1500.

Therefore, the answer is x = 1500

Answer:

B. A linear function with a positive slope.

Step-by-step explanation:

A correlation can be defined as a numerical measure of the relationship existing between two variables (x and y).

In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.

1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).

2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).

3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and it has a positive slope which is always constant.

From the graph, we can deduce that the scatter points lie close to a straight line with a slope that is positive.

Hence, the type of function which best models the relationship between the sales of sweaters and gloves is a linear function.

Mathematically, slope is given by the formula;

\( Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} \)

\( Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} \)

Answer:

if this is a fraction, then negative 5 over a⁶

Answer:

36x - 11y

Step-by-step explanation:

Given:

34x – 12x + 14x – 18y + 7y

Solve:

Combine Similar Term :

34x – 12x + 14x – 18y + 7y                      {34-12 = 22 + 14 = 36}

Combine Similar Term

36x - 18y + 7y                                           {-18 +7 = 11}

36x - 11y

Kavinsky

The four consecutive odd integers are: 51 , 53 , 55 and 57.

An algebraic expression (or) a variable expression is a combination of terms by the operations such as,

addition, subtraction, multiplication, division, etc.

For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression.

Types of algebraic expressions may further be distinguished in the following five categories. monomial, polynomial, binomial, .trinomial. multinomial.

the expression: 3/4x + y/2 (4x + 7) By using the distributive property, the given expression can be written as,

3/4x + y/2 (4x) + y/2 (7).

The sum of 4 consecutive odd integers is 336, how do you find the largest integer? because odd consecutive integers differ from each other by 4. Value of x can be determined by adding up assumed terms and equating it with 336.

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The value of diameter and radius of circle is 7 cm and 3.5cm.

According to the statement

we have given that the a figure of circle and we have to find the radius and the diameter of the circle.

So, We know that the

The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.

Here from the figure it is clear that the

Diameter of circle = 7cm

and the radius of circle we have to find

So,

Radius of circle = Diameter /2

Substitute the values in it then

Radius of circle = 7cm /2

Radius of circle = 3.5 cm.

So, The value of diameter and radius of circle is 7 cm and 3.5cm.

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Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

60in²

Explanation:

12 × 4 = 48

48in² for the rectangle

6 × 4 = 24

24/2 = 12

12in² for the triangle

12in² + 48in² = 60in² total

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

Answer:

See below

Step-by-step explanation:

\(\overline{X} \cdot\overline{Z} +\overline{X} \cdot Y + \overline{X} \cdot Z +XY\)

\(=\overline{X} (\overline{Z}+Y+Z) +XY\)

Recall that

\(\overline{Z} + Z = 1\)

and the identity \(\boxed{A \cdot 1 = A}\), therefore

\(\overline{X} (\overline{Z}+Y+Z) = \overline{X}\) because \(\overline{Z}+Y+Z\) will always be \(1\).

Thus,

\(\overline{X} \cdot\overline{Z} +\overline{X} \cdot Y + \overline{X} \cdot Z +XY\)

\(=\overline{X} (\overline{Z}+Y+Z) +XY\)

\(= \overline{X} + XY\)

Now considering the Absorption Law,

\(( \overline{A} \cdot \overline{B}) + B = (\overline{A}+ B) \cdot (\overline{B} +B)\)

Once \(\overline{B}+B=1\), therefore

\(\overline{A} +B\)

we know

\(= \overline{X} + XY = \boxed{\overline{X} +Y}\)

Answer:

\(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

Step-by-step explanation:

Given

\(f(b) = b^2 - 75\)

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

\(0 = b^2 - 75\)

Add 75 to both sides

\(75 + 0 = b^2 - 75 + 75\)

\(75 = b^2\)

Take square roots of both sides

\(\sqrt{75} = \sqrt{b^2}\)

\(\sqrt{75} = b\)

Reorder

\(b = \sqrt{75}\)

Expand 75 as a product of 25 and 3

\(b = \sqrt{25*3}\)

Split the expression

\(b = \sqrt{25} *\sqrt{3}\)

\(b = \±5 *\sqrt{3}\)

\(b = \±5 \sqrt{3}\)

\(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)

The options are not clear enough; however the roots of the equation are \(b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}\)