Greg wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 45 feet and its width is 35 feet. Suppose wood flooring costs $9 for each square foot. How much will the wood flooring cost for the floor?

The probability of getting 2 socks of the same color given by the following solution is 65/132.

Beginning with the first sock, we have three options: blue, white, or grey. If we wanted to know the likelihood of drawing only one blue sock, we might divide the number of blue socks in the drawer by the total number of socks (2 / 12).

We have three options for the second sock: blue, white, or grey. Keep in mind that we are drawing without replacement, so there is now one fewer sock in the drawer. Thus, with three alternatives for the first sock and three options for the second sock, the total number of combinations is three times three, or nine. The following are all of the potential combinations: (blue, blue), (blue, white), (blue, grey), (white, blue), (white, white), (white, grey), (white, blue), (white, white), (white, grey), (grey, blue), (grey, white) (gray, gray).

So the probability of 2 socks of the same color is, in equation form:

P(2 socks of same color) = P(blue sock first) * P(blue sock second) + P(white sock first) * P(white sock second) + P(gray sock first) * P(gray sock second).

= 2/12*1/11 + 4/12*3/11 + 6/12*5/11

= 65/132

Therefore, the probability of getting 2 socks of the same color 65/132.

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Complete question:

Mixed in a drawer are 2 blue​ socks, 4 white​ socks, and 6 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color.

Answer: A and D

Step-by-step explanation: \(\sqrt{400\) is a rational number because when calculate the square root 400 you get 20. \(\sqrt\\400\) is a rational number. The area of the square would be perfect square because 20*20=400. A and D are the correct answers.

In order to prove that the angles RST and TUR are congruent, the lines 1, 2 and 3 of statements and reasons are correct.

Since triangles RST and TUR have all three sides congruent, so they are congruent triangles by case SSS.

For the line 4, the statement is "angle RST congruent to angle TUR" (what we want to prove), and the reason is "corresponding angles of congruent triangles".

Answer:

Cara earns $7 per hour babysitting plus $4 for transportation.

Step-by-step explanation:

When Cara works for 1 hour, she earns 7*1 + 4 = 11 dollars. The value of h increments as Cara babysits longer, but she gains the 4 dollar transportation fee regardless of her workhour.

lol I have no idea thank 4 the points

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

240 cubic cm

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

volume of a cylinder = nr^2h

n = 22/7

r = radius

The volume of a cone is 1/3 that of a cylinder

to determine the volume of the cylinder with the same parameters as a cylinder, multiply the volume of the cone by 3

80 x 3 = 240 cubic cm

Answer: I think it might be 2.

Answer:

\(\frac{5}{14}\)

Step-by-step explanation:

First, find the total number of students:

\(252+140=392\)

Then, divide the number of students at hand by the total number:

\(\frac{140}{392}\)

When possible, reduce the fraction to its simpliest form:

\(\frac{140}{392}\div\frac{28}{28}=\frac{5}{14}\)

The domain restriction for the right side of the equation is

The domain restriction for the left side of the equation is

In mathematics, the domain refers to the set of all possible input values for a function. it is the collection of values for which the function is defined and can be evaluated.

The domain is typically represented by the variable x and determines the valid input values that can be plugged into the function to obtain meaningful outputs or results.

To get a possible value for 8/x, x should not be equal to 0, otherwise we get undefined

To get a possible value for 8/(12 - x), x should not be equal to 12, otherwise we get undefined

8/0 is undefined

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The most important part of the design cycle is the "Iteration" phase.

In this phase, the designer goes back and forth between testing and evaluating the design, making changes, and testing again until the desired outcome is achieved.

In mathematical terms, the iteration phase can be seen as an optimization process, where the designer seeks to minimize the difference between the desired and actual outcomes.

This phase is crucial because it allows the designer to identify and resolve any issues with the design, ensuring that the final product is functional and meets the desired specifications.

In conclusion, the iteration phase of the design cycle is essential for ensuring that the final design is effective, efficient, and meets all the requirements. The designer must repeat this phase multiple times to achieve the desired outcome and ultimately improve the overall design.

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Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

The values of C and a that satisfy the given conditions are C = 9 and a = 3/2, respectively. Thus, the function f(x) = Ca is given by:

f(x) = 9(3/2)x = 27/2x

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

Since we are given that f(x) = Ca, we have to determine the values of C and a such that the given conditions f(1) = 9 and f(2) = 27 are satisfied.

First, we have f(1) = Ca(1) = C. Therefore, we have:

C = 9

Next, we have f(2) = Ca(2) = 2aC. Since we know that C = 9, we can substitute it into the expression for f(2) to obtain:

f(2) = 2aC = 2a(9) = 18a

We are also given that f(2) = 27, so we can substitute this value to get:

18a = 27

Solving for a, we obtain:

a = 3/2

Therefore, the values of C and a that satisfy the given conditions are C = 9 and a = 3/2, respectively. Thus, the function f(x) = Ca is given by:

f(x) = 9(3/2)x = 27/2x

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The equation of the linear function in slope-intercept form is:

y = (32/3)x + (4/3)

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane. This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).

To find the equation of the linear function represented by the table, we need to find the slope and y-intercept of the line.

Slope = (change in y) / (change in x)

= (36 - 4) / (4 - 1)

= 32 / 3

Y-intercept = the value of y when x = 0.

From the table, when x = 1, y = 4. So, when x = 0, y = 4 - (32/3) = (4/3)

Therefore, the equation of the linear function in slope-intercept form is:

y = (32/3)x + (4/3)

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The use and interpretation of an R or s chart are critical when examining an X-bar chart because they provide additional information about the variation within the subgroups. This allows for a more comprehensive analysis of the process and helps identify any issues or sources of variability.

When using an X-bar chart, the focus is on monitoring the process mean or average. However, the X-bar chart alone does not provide information about the variation within the subgroups. This is where the R or s chart comes into play. The R chart measures the range of values within each subgroup, while the s chart measures the standard deviation.
By using an R or s chart alongside the X-bar chart, we can assess the variability within the subgroups and determine if it is stable over time. If the variation within the subgroups is high and unpredictable, it may indicate that the process is out of control or that there are sources of variation that need to be addressed. The R or s chart provides additional insights into the process performance and helps in identifying the presence of special causes of variation.
In summary, the use and interpretation of an R or s chart in conjunction with an X-bar chart allow for a more comprehensive analysis of process variation. This helps in understanding the stability and capability of the process and enables appropriate actions to be taken to improve quality and performance.

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Answer:105 i believe so

Step-by-step explanation:

Answer:

105 members

Step-by-step explanation:

\(1.25 \times 84 = 105\)

Answer: m∠CBD = 98°

Step-by-step explanation:

Answer:

The resulting expression is:

\(4\left[0.5+2.5y-0.7x-1.3+4\right]\:=-2.8x+10y+12.8\)

Step-by-step explanation:

Given the expression

\(4\left[0.5+2.5y-0.7x-1.3+4\right]\:\)

simplifying

\(=\left(4\right)\left(0.5+2.5y+-0.7x+-1.3+4\right)\)

\(=\left(4\right)\left(0.5\right)+\left(4\right)\left(2.5y\right)+\left(4\right)\left(-0.7x\right)+\left(4\right)\left(-1.3\right)+\left(4\right)\left(4\right)\)

\(=2+10y-2.8x-5.2+16\)

\(=-2.8x+10y+12.8\)

Thus, the resulting expression is:

\(4\left[0.5+2.5y-0.7x-1.3+4\right]\:=-2.8x+10y+12.8\)

The required equation of the line is 3x + 2y = 8.

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also explores and solves Diophantine equations with integer coefficients. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

The required equation of the line is

(y-4) = (0+6)/(4-8) (x-0)

or, y - 4 = 6/(-4) x

or, y - 4 = -3/2 x

or, 2y - 8 = -3x

or, 3x + 2y = 8

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Answer:

157.5 is the answer

Step-by-step explanation:

Answer:

157.5

Step-by-step explanation:

Answer:

the answer isn't any of those

Answer:

:

Answer:the radius would be 88cm

Step-by-step explanation:

radius. r = base circumference. C = volume. V = curved surface area.

Answer:

50 ≤ x ≤ 58

Step-by-step explanation:

Cause Im smart

Answer:

50 ≤ x ≤ 58

Step-by-step explanation:

hope this helps ;

)

Step-by-step explanation:

Factor 3n³−12n²−30n

3n³−12n²−30n

=3n(n²−4n−10)

Step-by-step explanation:

CLICK ON THE ABOVE IMAGE I HAVE SOLVED .....PLS GIVE BRAINLIEST!! HOPE IT HELPS

The answer is closest to option (b) 5km.

To solve this problem, we need to find the total displacement, which is the straight-line distance and direction between the starting and ending points.

First, we can draw a diagram to visualize the path taken:

     |\

     | \ 4km

     |  \

     |   \

3km   |    \

------|-----\

     60° east of north

The first leg of the journey is a straight 3km walk due west. The second leg is a bit more complicated, as we need to find the horizontal and vertical components of the 4km distance traveled at a 60° angle east of north. To do this, we can use trigonometry:

cos(60°) = adjacent/hypotenuse

adjacent = cos(60°) * 4km = 2km

sin(60°) = opposite/hypotenuse

opposite = sin(60°) * 4km = 3.46km

So the second leg takes us 2km east and 3.46km north.

Now we can add up the horizontal and vertical components to find the total displacement. To do this, we can use the Pythagorean theorem:

total horizontal displacement = 3km + 2km = 5km

total vertical displacement = 3.46km

total displacement = sqrt((5km)^2 + (3.46km)^2) ≈ 6.1km

Therefore, the answer is closest to option (b) 5km.

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Answer:

Step-by-step explanation:

*From what I'm getting, many of the blanks have multiple numbers that would work.*

No Solutions:

First Blank: 7

Second Blank: Any number but 5

One Solution:

First Blank: Any number but 7

Second Blank: Any number

Infinitely Many Solutions:

First Blank: 7

Second Blank: 5

0.16÷0.3220=0.49689440993