A police department reports that the probabilities that 0, 1, 2, and 3 domestic disputes will be reported in a given day are 0.53, 0.43, 0.03, and 0.01, respectively. Find the mean.

Answers

Answer 1

Answer:

The mean of the outcomes is 0.52.

Step-by-step explanation:

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01.  This comes out to:

     0     +    0.43  + 0.06 + 0.03 = 0.52

The mean of the outcomes is 0.52.

Answer 2

The mean of the outcomes will be equal to 0.52.

What is mean?

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01.  

0+0.43  + 0.06 + 0.03 = 0.52

To know more about mean follow

https://brainly.com/question/968894

#SPJ2


Related Questions

Find the exponential regression equation for the data points (-4, 0.75), (-2, 6), (3, 28), and (5, 162).

A. y = 8.43(1.69)^x

B. y = 9.17(1.70)^x

C. y = 5(0.92)^x

D. y = 9.46(2.93)^x

Answers

If im not wrong, i believe the answer is C.

A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What is the perimeter of the triangle?

Answers

Answer:

The perimeter of the triangle is [tex]12\ units[/tex]

Step-by-step explanation:

Let

[tex]A(-3,1),B(1,1),C(1,-2)[/tex]

we know that

The perimeter of triangle is equal to

[tex]P=AB+BC+AC[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

step 1

Find the distance AB

[tex]A(-3,1),B(1,1)[/tex]

substitute in the formula

[tex]AB=\sqrt{(1-1)^{2}+(1+3)^{2}}[/tex]

[tex]AB=\sqrt{(0)^{2}+(4)^{2}}[/tex]

[tex]AB=4\ units[/tex]

step 2

Find the distance BC

[tex]B(1,1),C(1,-2)[/tex]

substitute in the formula

[tex]BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}[/tex]

[tex]BC=\sqrt{(-3)^{2}+(0)^{2}}[/tex]

[tex]BC=3\ units[/tex]

step 3

Find the distance AC

[tex]A(-3,1),C(1,-2)[/tex]

substitute in the formula

[tex]AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}[/tex]

[tex]AC=\sqrt{(-3)^{2}+(4)^{2}}[/tex]

[tex]AC=5\ units[/tex]

step 4

Find the perimeter

[tex]P=AB+BC+AC[/tex]

substitute the values

[tex]P=4+3+5=12\ units[/tex]

A quadratic equation has the zeros -3 amd 6. Can the quadratic equation be the given equation? A. (2x + 6)(x - 6) =0. Yes or no B. (6x - 1)(x + 3) =0. Yes or no C. -3x(x - 6) =0. Yes or no

Answers

Answer:

It can be A. (not B or C)

Step-by-step explanation:

It is A because x-6=0 can be simplified to x=6. Then, 2x + 6, you can divide the whole equation resulting in x+3=0, simplify this and you get x=-3. YES

It is not B because, while x+3=0 results in a zero of -3, 6x-1 can be simplified to be divided by 6. When we do this we get x-1/6=0, which is not equivalent to 6. NO

It is not C because, while x-6=0 results in a zero of 6, -3x can be simplified with the zero product property to get -3x=0 then dividing -3 by 0 giving you 0 which is not equivalent to one. NO

What is the maximum value of the equation y=-x^2 -x+6

1.) 1/2
2.)6 1/4
3.) -1/2
4.)5 1/4

Answers

Answer:

1) 1/2

Step-by-step explanation:

An office building has a cement block under its dumpster. The pad has an area of 108 square feet. The dumpster is 9 ft long and 8 ft wide. What is the most likely perimeter of the cement pad

Answers

Answer:

Most likely Perimeter of the pad is 42 ft.

Step-by-step explanation:

Area of the Cement pad = 108 feet²

Length of the dumpster = 9 ft

Width of the dumpster = 8 ft

Cement pad surface is greater than dumpster to hold it.

Area of pad = 108 ft²

length × width = 108

we choose length and width such that they are greater than length and width of the dumpster.

So, length of the pad = 12 ft

Width of the pad = 9 ft

Thus, Perimeter = 2 × (length +  width) = 2 × ( 12 + 9 ) = 2 × 21 = 42 ft

Therefore, Most likely Perimeter of the pad is 42 ft.

Please help with this !!

Answers

Answer:

A

Step-by-step explanation:

The graph of the parabola has no points of intersection with the real x- axis

and therefore has no real solutions

Complex roots occur in conjugate pairs so cannot be C

The solution would be 2 complex roots → A

Answer:

A

Step-by-step explanation:

The graph has no intersection with x-axis therefore has no real roots.

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:

Answers

Answer:

a = 6

x^2 + 6x is equal to x(x+6)

b=2

Denominator and numerator of the first term are multiplied by x. 

c=6

Second term is multiplied by (x-6)/(x-6)

d=2

Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term

e=6

In the same way as d is carried over from b, e is carried over from c. 

f = 6

2x - x + 6 = x + 6

g = 1 

We factor out the (x+6) from the numerator and denominator.

Answer:

a= 6

b= 2

c= 6

d= 2

e= 6

f= 6

g= 1

Step-by-step explanation:

i like math

what is the approximate value of tan B?

Answers

For this case we have that by definition of trigonometric relations of rectangular triangles, that the tangent of an angle is given by the opposite leg to the angle on the leg adjacent to the angle. So:

[tex]tg (B) = \frac {16} {7}\\tg (B) = 2.2857[/tex]

Rounding the value we have 2.29

Answer:

Option D

ANSWER

D 2.29

EXPLANATION

The tangent ratio, is the ratio of the opposite side to the adjacent side.

The side adjacent to angle B is 7 units.

The side opposite to angle B is 16 units.

This implies that:

[tex] \tan(B) = \frac{16}{7} [/tex]

[tex]\tan(B) =2.29[/tex]

The correct answer is D.

Identify the diameter of the disc. HELP ASAP!!

Answers

Answer:

Its 9 1/16

Step-by-step explanation:

I guessed and got it right. I just knew it wasn't 9 and the two 16 answers didn't make sense, lol. In the future I think just go with the one closest (but not exact) to the shown thingy, not sure tho?

Update:

Im silly. Solve it like this:

AE*EB=CEtimesED

so 9 which is 4.5*2 would be 4.5*4.5

thats 20.25

20.25/4(the radius)

is 5.06.

That plus 4 is the diameter, lol.

so it rounds to 9 1/16

Look at the two circles below . They share a center point . The larger circle has a radius of 10 inches . The distance between the smaller circle and the larger circle is 2 inches . Which best represents the shaded area between the two circles

Answers

Answer:

π(10 in)² - π(8 in)²  

Step-by-step explanation:

Area between the two circles=

   Area of larger circle   less  area of smaller circle, or

          π(10 in)² - π(8 in)²         Since the difference in the radii of the

                                                 two circles is 2, that means the smaller

                                                  circle has radius 10 - 2, or 8 (inches)

Next time, please share the answer choices.  Thank you.

Final answer:

To find the shaded area between the two circles, subtract the area of the smaller circle from the area of the larger circle. The area of a circle is calculated using the formula A = πr^2. By finding the radius of the smaller circle, we can calculate its area and subtract from the larger circle's area to find the shaded area.

Explanation:

The shaded area between the two circles can be found by subtracting the area of the smaller circle from the area of the larger circle. The radius of the larger circle is given as 10 inches and the distance between the two circles is given as 2 inches. To find the area of the shaded region, we first need to find the radius of the smaller circle. Since the distance between the two circles is equal to the sum of their radii, the radius of the smaller circle is 10 inches - 2 inches = 8 inches.

The area of the larger circle is calculated using the formula A = πr^2, where r is the radius. Therefore, the area of the larger circle is A = π(10 inches)^2 = 100π square inches.

The area of the smaller circle is calculated in the same way, using the radius of 8 inches. Therefore, the area of the smaller circle is A = π(8 inches)^2 = 64π square inches.

To find the shaded area, we subtract the area of the smaller circle from the area of the larger circle: 100π square inches - 64π square inches = 36π square inches.

Each edge of a wooden cube is 4 centimeters long. The cube has a density of 0.59 g/cm3 . What is the mass of the wooden cube?

Answers

Answer:

37.76

Step-by-step explanation:

(What we know)

V = 4*4*4 = 64

Density = 0.59

___________________

Density = Mass/Volume

Mass = (Density)(Volume)

So

Mass = (0.59)(64)

or

Mass = .59 * 64

Mass = 37.76

_____________________________

So the answer would be 37.76

Hope this helps, if you see an error please correct me.

A jar contains only black and white marbles. When one marble is drawn at random, the probability that it is white is 1/3. After 20 black marbles were added to the jar, the probability of drawing a white was 1/5. How many marbles were in the jar originally?

Answers

there are 30 marbles in the jar originally

question 70 true or false

Answers

Answer:

true

Step-by-step explanation:

For this case we have that by definition:

[tex]Sin (90) = 1\\Cos (90) = 0[/tex]

Now, the tangent of 90 is given by:

[tex]tg (90) = \frac {Sin (90)} {Cos {90}} = \frac {1} {0}[/tex]

Thus, it is observed that the tangent of 90 degrees is not defined.  Is obtained ∞.

Similarly:

[tex]Sin (-90) = - 1\\Cos (-90) = 0[/tex]

Now, the tangent of -90 is given by:

[tex]tg (-90) = \frac {Sin (-90)} {Cos {-90}} = \frac {-1} {0}[/tex]

Thus, it is observed that the tangent of -90 degrees is not defined.

Answer:

False

On Orca Beach, the high tide is 2 meters and only occurs at 12 a.m. and 12 p.m. The low tide is 0.8 meter and only occurs at 6 a.m. and 6 p.m. Which function models the height of the tide t hours after 12 a.m.?

Choices:

1. h(t)=2cos(πt/3)+0.8

2. h(t)=0.6cos (πt/6) + 1.4

3. 0.6sin(πt/6) + 1.4

4. 1.4sin (πt/3) + 2

Answers

Answer:

  2.  h(t)=0.6cos (πt/6) + 1.4

Step-by-step explanation:

The average water level is (2 +0.8)/2 = 1.4, so this is the offset that is added to the sine or cosine function. That eliminates choices 1 and 4.

The high tide occurs when t=0 (at 12 AM), so eliminating choice 3.

The function that models the height of the tide t hours after 12 AM is ...

  h(t)=0.6cos (πt/6) + 1.4

Final answer:

The height of the tide t hours after 12 a.m. at Orca Beach can be modeled by the function h(t)=0.6cos(πt/6)+1.4, which is choice 2 among the given options. This function correctly represents the amplitude and timing of the high and low tides with the period of 12 hours between each high tide.

Explanation:

The question is asking to find a function that models the height of the tide at Orca Beach t hours after 12 a.m. Given that the high tide of 2 meters occurs at 12 a.m. and 12 p.m., and the low tide of 0.8 meter occurs at 6 a.m. and 6 p.m., we're looking for a trigonometric function with a period that corresponds to the tidal cycle of 12 hours. The amplitude of the tide would be half the difference between the high and low tides, and the vertical shift would position the midline of the oscillation at the average of the high and low tides.

First, we calculate the amplitude (A) as half the difference between the high and low tide heights:

A = (2 - 0.8) / 2 = 0.6 meters

Next, we calculate the vertical shift (D) as the average of the high and low tide heights:

D = (2 + 0.8) / 2 = 1.4 meters

Now, knowing that the period (T) of the tide is 12 hours, we can use the cosine function, as it starts at the maximum value at t=0, corresponding to the high tide at 12 a.m. The function representing the tide's height h(t) can be modeled as:

h(t)=Acos(Bt)+D

Where B is the frequency, calculated as B = 2π / T.

Since the tide has a 12-hour period, we plug T = 12 into B:

B = 2π / 12 = π / 6

So the function that models the height of the tide t hours after 12 a.m. with the correct amplitude, frequency, and vertical shift is:

h(t)=0.6cos(πt/6)+1.4

Therefore, the correct choice from the options provided is:

Choice 2: h(t)=0.6cos (πt/6) + 1.4

Find an equation equivalent to r=5/1+cos0 in rectangular coordinates

A. x^2=25-10y
B. X^2=10y-25
C.y^2=10x-25
C. Y^2= 25-10x

Answers

[tex]r=\dfrac5{1+\cos\theta}\implies r(1+\cos\theta)=5\implies r+r\cos\theta=5[/tex]

In converting between polar and rectangular coordinates, we take

[tex]x^2+y^2=r^2\implies r=\sqrt{x^2+y^2}[/tex]

[tex]x=r\cos\theta[/tex]

so that the equation becomes

[tex]\sqrt{x^2+y^2}+x=5[/tex]

which we can rewrite as

[tex]\sqrt{x^2+y^2}=5-x[/tex]

[tex]x^2+y^2=(5-x)^2[/tex]

[tex]x^2+y^2=25-10x+x^2[/tex]

[tex]\implies\boxed{y^2=25-10x}[/tex]

so the answer is C.

In the game Yahtzee, players roll five dice. There are 13 rounds per game. In each round, each player can roll the dice up to three times. In a player's first roll of each round, he or she rolls all five dice. The second and third rolls, the player can choose to roll any subset of the dice again (any or all the dice). Yahtzee is a bit like poker with dice. An especially valuable roll is 5 of a kind (all 5 dice show the same number of spots), called a Yahtzee. The next two questions are about Yahtzee. Problem 3 The chance of rolling a Yahtzee (5 of a kind) on the first roll of a turn is closest to

Answers

Answer: 13

Step-by-step explanation: because I have the whole bookanswer duh

There are 17 people in an office with 5 different phone lines. If all the lines begin to ring at once, how many groups of 5 people can answer these lines?

Answers

Answer:

6188 different combinations of people

Step-by-step explanation:

This is a combination problem since it does not matter the order of people that answer the phones.  The combination looks like this:

₁₇C₅ = [tex]\frac{17!}{5!(17-5)!}[/tex]

This expands to

[tex]\frac{17*16*15*14*13*12!}{5*4*3*2*1(12!)}[/tex]

The 12! cancels out in the top and bottom so the remaining multiplication leaves you with

₁₇C₅ = [tex]\frac{742560}{120}[/tex]

which divides to 6188

Final answer:

The number of groups of 5 people that can be selected from a total of 17 to answer 5 different phone lines is 6188. This is a combinatorics problem calculated using the combinations formula.

Explanation:

The question is asking us to determine how many groups of 5 people out of 17 people can answer the 5 different phone lines in an office. This problem is a combination problem in mathematics, particularly in combinatorics. Combinations refer to the selection of items without regard for the order in which they are arranged.

Here, we are selecting groups of 5 people out of 17 to answer the phone lines. The formula for combinations is C(n, r) = n! / r!(n-r)!, where n is the total number of items, r is the items to be selected, and '!' denotes the factorial.

Substituting our values into the formula, we get C(17, 5) = 17! / 5!(17-5)!. When we calculate this, the answer we obtain is 6188. Therefore, there are 6188 ways to form groups of 5 out of 17 people to answer the phone lines.

Learn more about Combinations here:

https://brainly.com/question/39347572

#SPJ3

The area of a square is A = s?, where s is the length of one side of the square. What is the side length s for each square?

Answers

Answer:

s = +√A

Step-by-step explanation:

Start with the area formula, A = s².  Solve this for the side length, s, as follows:

s = +√A

In words, if you're given the area of a square, find the square root of this area to determine the side length.



You need to repaint the floor and inside wall of your circular swimming pool. It has a diameter of 16 feet and a depth of 5 feet. What is the surface area that needs to be repainted? (Use 3.14 for π.)

1,055.04 ft 2

251.2 ft 2

401.92 ft 2

452.16 ft 2

Answers

Answer:

452.16 ft²

Step-by-step explanation:

The surface area is the area of the cylindrical wall plus the area of the circular floor.

A = 2πrh + πr²

h = 5.  The radius is half the diameter, so r = 8.

A = 2π(8)(5) + π(8)²

A = 144π

A ≈ 452.16 ft²

Answer:

A ≈ 452.16 ft mark me brainy plz!

Step-by-step explanation:

The surface area is the area of the cylindrical wall plus the area of the circular floor.

A = 2πrh + πr²

h = 5.  The radius is half the diameter, so r = 8.

A = 2π(8)(5) + π(8)²

A = 144π

A ≈ 452.16 ft²



Problem

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, space, c, m.

What is the area AAA of the circular cross section of this pipe?

Give your answer in terms of pi.

Answers

Answer:

The area of the circular cross section of the pipe is [tex]100\pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the circle (cross section of the pipe) is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=20/2=10\ cm[/tex] ----> the radius is half the diameter

substitute

[tex]A=\pi (10)^{2}[/tex]

[tex]A=100\pi\ cm^{2}[/tex]

Question 1 Post Math

Answers

ANSWER

Yes, k=-3 and y=-3x

EXPLANATION

Let's assume y varies directly as x.

Then, we can write the equation:

y=kx

From the table, when x=1, y=3

Substitute these values to obtain;

3=-k

This implies

k=-3

The equation now becomes:

y=-3x

We check for a second point to see if it satisfy the equation.

When x=5,y=-15

-15=-3(5)

-15=-15

Hence the relation represent a direct variation.

The profit a company earns every month depends of the amount of the product sold, p, for $855 each and the amount spent in rent,utilities and other expenses, which always totals to $6,780. The CEO of the company earns 15% of this profit. How much does the CEO earn if the company sells 250 products in a given month?

Answers

Answer:

$31,045.50

Step-by-step explanation:

Revenue from sales = ($855/item)p

Expenses:  $6,780

Revenue if p = 250 is R(250) = ($855/item)(250 items) = $213,750

Subtracting expenses, we get a profit of $206,970.

The CEO of the company earns 15% of this profit, or:

0.15($206,970) = $31,045.50

In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.

Answers

In both cases,

[tex]AB^2=AD^2[/tex]

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

[tex](4x+7)^2=(6x-3)^2[/tex]

[tex]16x^2+56x+49=36x^2-36x+9[/tex]

[tex]20x^2-92x-40=0[/tex]

[tex]5x^2-23x-10=0[/tex]

[tex](5x+2)(x-5)=0\implies\boxed{x=5}[/tex]

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

[tex](4x^2-18x-10)^2=(x^2+x+4)^2[/tex]

[tex]16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16[/tex]

[tex]15x^4-146x^3+235x^2+352x+84=0[/tex]

[tex](x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}[/tex]

(again, omit the solutions that would give a negative length for either AB or AD)

The value of x for first figure is x = 5 and for second x = 7 and -2/3.

What is the property of tangent?

The property of tangent is that "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

1. The value of x using the above tangent property.

BA = AD

4x + 7 = 6x -3

4x - 6x = -3 -7

-2x = -10

x = -10/-2

x = 5

2. The value of x using the above tangent property.

BA = AD

[tex]\rm 4x^2-18x-10=x^2+x+4\\\\4x^2-18x-10-x^2-x-4=0\\\\3x^2-19x-14=0\\\\x =\dfrac{-(-19)\pm\sqrt{(-19)^2-4\times 3\times -14} }{2\times 3}\\\\x =\dfrac{19\pm\sqrt{361+168} }{6}\\\\x =\dfrac{19\pm\sqrt{529} }{6}\\\\x =\dfrac{19+23 }{6}, \ x =\dfrac{19-\ 23}{6}\\\\x =\dfrac{42}{6} , \ x =\dfrac{-4}{6}\\\\x=7, \ x=\dfrac{-2}{3}[/tex]

Hence, the value of x for first figure is x = 5 and for second x = 7 and -2/3.

Learn more about tangent here;

https://brainly.com/question/15571062

#SPJ2

Troy is making a flag shaped like a square. Each side measures 12 inches. He wants to add ribbon along the edges. He has 36 inches of ribbon. Does he have enough ribbon?

Answers

Answer:

no he needs 12 more

Step-by-step explanation:

Please help me please !!!!!

Answers

Answer:

215.6 m²

Step-by-step explanation:

The area (A) of the polygon is

A = [tex]\frac{1}{2}[/tex] × perimeter × apothem

perimeter = 7 × 7.7 = 53.9 m, so

A = 0.5 × 53.9 × 8 = 215.6

The area of regular polygon with 7 sides is 215.6 m².

What is Polygon?

Polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.

Here, the area (A) of the polygon is

A =  1/2 × perimeter × apothem

perimeter = length X width

                   = 7 × 7.7

                   = 53.9 m,

so, A = 0.5 × 53.9 × 8

         = 215.6 m²

Thus, the area of regular polygon with 7 sides is 215.6 m².

Learn more about Polygon from:

https://brainly.com/question/17756657

#SPJ2

Which second-degree polynomial function f (x) has a lead coefficient of 4 and roots 5 and 2?

Answers

Answer:

The second degree polynomial is f(x) = 4x² - 28x + 40

Step-by-step explanation:

* Lets revise the general form of the second-degree polynomial

- The general form of the second degree polynomial is

 f(x) = ax² + bx + c, where a , b , c are constant

- The highest power of the variable that occurs in the polynomial

 is called the degree of a polynomial.

- The leading term is the term with the highest power, and its

 coefficient is called the leading coefficient.

- The leading coefficient is the coefficient of x²

∴ a = 4

∴ f(x) = 4x² + bx + c

- The roots of a polynomial are also called its zeroes, because

 the roots are the x values at which the function equals zero

∴ When f(x) = 0, the values of x are 5 and 2

* To find the value of b and c substitute the values of x in f(x) = 0

- At x = 5

∵ 4(5)² + b(5) + c = 0 ⇒ simplify it

∴ 100 + 5b + c = 0 ⇒ subtract 100 from both sides

∴ 5b + c = -100 ⇒ (1)

- At x = 2

∵ 4(2)² + b(2) + c = 0 ⇒ simplify it

∴ 16 + 2b + c = 0 ⇒ subtract 16 from both sides

∴ 2b + c = -16 ⇒ (2)

- Subtract (2) from (1)

∴ 3b = -84 ⇒ divide both sides by 3

∴ b = -28

- Substitute the value of b in (1) or (2) to find c

∵ 2(-28) + c = -16

∴ -56 + c = -16 ⇒ add 56 to both sides

∴ c = 40

∴ f(x) = 4x² - 28x + 40

* The second degree polynomial is f(x) = 4x² - 28x + 40

Answer:

d

Step-by-step explanation:

Chance has hired a construction crew to renovate his kitchen. They charge $3.92 per square foot for materials and $124.26 per day of labor. Chance spent $3,233.54 on the renovation. If the number of square feet is 269 more than the number of days it took for the renovation, how long did the renovation take?

A. 20 days

B. 17 days

C. 3 days

D. 15 days

Please show your work so I can understand how you got the answer. :)

Answers

Answer:

  B.  17 days

Step-by-step explanation:

We want to know how many days it took, so it is convenient to define the variable x as the number of days. Then the number of square feet is (x+269) and the total cost is ...

  124.26x +3.92(x+269) = 3233.54

  128.18x + 1054.48 = 3233.54 . . . . . . . . simplify

  128.18x = 2179.06 . . . . . . . . . . . . . . . . . . subtract 1054.48

  2179.06/128.18 = x = 17 . . . . . . . . . . . . . divide by the coefficient of x

The renovation took 17 days.

Final answer:

For solving the problem, we first divide the question into two equations, and then substitute and solve the equations. The renovation took around 17 days that is option B)

Explanation:

This is a system of equations problems in Mathematics. Let's denote the number of days as 'd' and the square footage as 'f'. According to the problem, we know that:

1. Costs of materials + Costs of labor = Total spent

$3.92f + $124.26d = $3233.54

2. The square footage is 269 more than the number of days. So:

'f = d + 269'

We can replace 'f' from the second equation with the first one: $3.92(d + 269) + $124.26d = $3233.54. Simplifying this, we get $1052.48 + $4.93d = $3233.54, and solving for 'd', we get 'd' approximately equal to 17 days, so the answer is (B).

Learn more about Systems of Equations here:

https://brainly.com/question/21620502

#SPJ3

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is the approximate volume of the tube? Round to the nearest whole cubic centimeter. 1

Answers

if it has a diameter of 8 units, then its radius is half that, or 4.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=20 \end{cases}\implies V=\pi (4)^2(20)\implies V=320\pi \\\\\\ V\approx 1005.309649148733\implies \stackrel{\textit{rounded up}}{V=1005}[/tex]

Final answer:

To calculate the volume of a cylindrical cardboard tube, the formula V = πr²h is used with a given diameter of 8 cm (radius of 4 cm) and a height of 20 cm. After computation, the approximate volume is 1005 cm³, rounded to the nearest whole number.

Explanation:

To find the volume of the cylindrical cardboard tube, we need to first understand the volume formula for a cylinder, which is V = πr²h. The radius is half of the diameter, so for this tube, the radius (r) is 4 centimeters (8 cm diameter / 2). The height (h) of the cylinder is given as 20 centimeters.

Now, we can plug in these values to find the volume:

V = π × (4 cm)² × 20 cmV = π × 16 cm² × 20 cmV = π × 320 cm³V = 3.142 × 320 cm³V ≈ 1005 cm³ (rounded to the nearest whole number)

Therefore, the approximate volume of the tube is 1005 cubic centimeters when rounded to the nearest whole cubic centimeter.

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 100 seconds. What is her average velocity?

Answers

Answers:0m/s

Step-by-step explanation: once she has completed one lap, displacement is 0, therefore her velocity is 0m/s

The average velocity of her is zero.

Average velocity;

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.

Given

A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m.

She completes one lap in 100 seconds.

The formula is used to find average velocity is;

[tex]\rm Average \ velocity=\dfrac{Change \ in \ displacement }{Change \ in \ time \ interval}[/tex]

Here, the runner displacement is zero.

Therefore,

[tex]\rm Average \ velocity=\dfrac{Change \ in \ displacement }{Change \ in \ time \ interval}\\\\\rm Average \ velocity=\dfrac{0 }{100}\\\\\rm Average \ velocity=0[/tex]

Hence, the average velocity of her is zero.

To know more about average velocity click the link given below.

https://brainly.com/question/21633104

which is more 45g or 45ml?

Answers

For water 1 gram = 1 ml.

This means 45 grams are equal to 45 ml's.

Neither one is greater than the other one as they are equal.

The problem doesn't state what is being measured, so the answer could be different depending on the density of the product being measured.

Other Questions
What are the domain and range of f(x) = (1/6)x + 2? domain: ; range: {y | y > 0} domain: ; range: {y | y > 2} domain: {x | x is a real number}; range: {y | y > 2} domain: {x | x is a real number}; range: {y | y > 2} What is the measure of T____la calculadora para ser contadora.EscribirHablarnCocinarUsarsTrabajaremos a quadrilateral PQRS is inscribed in a circle as shown below: what is the measure of the angle Q Choose all the answers that apply.Mushrooms are heterotrophic organisms in the Fungi kingdom. Mushroomsare plantsmake their own food using photosynthesisare eukaryotesare prokaryotesare unicellular Which room of a house is shown in the picture Find the 18th term of the sequence 5, 8, 11, 14, 17... Sheree drew this model of a tent. It is in the shape of a triangular prism. How many square inches of fabric are needed to make this model tent?144 square inches240 square inches264 square inches274 square inches In peas, the allele for green pods is dominant over the allele for yellow pods. Also, the allele for tall stem length is dominant over that for short stem length. These genes are unlinked. A pure breeding tall pea plant with green pods is crossed with a short pea plant with yellow pods. Write the genotypes of the pea plants and their gametes in the P, F1, and F2 generations. Draw the chromosomes. Use a Punnett square to figure out the phenotypic ratios (the proportion of pea plants with a given phenotype) in the F2 generation. Simplify the expression -2(p+4) what is one clue that lets you know that a math problem requires you to do a two steps multi problem? 1. Evaluate.7b, for b= 5 Art homework... Topic: What makes you and others happy? What should I draw? Suppose a rock on Earth is dropped in a vacuum and has an initial speed of 0 m/s. What is the rock's speed after 2 seconds, in m/s? How did the government restrict immigration in the 1920s? Why did Congress pass the Indian Removal Act in 1830?to move Indian tribes west of the Mississippi River so white settlers could take their landto move Indian tribes out of the path of the transcontinental railroadto move Indian tribes off the Great Plains before they killed all the buffalo herdsto move Indian tribes to Canadian territory so they could hunt freely Some argued that if the united states failed to expand its economy overseas select one:a. the nation would be taken over by more powerful nations.b. the united states would no longer have a frontier of its own for expansion.c. the united states would decline just like the roman empire.d. all of the above Which statement correctly describes measuring with a graduated cylinder? What is the "bottle dance?"a dance made for little children onlya typical dance where women put a bottle over their heads while they are dancinga dance only for mena version of the European Polka The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radius of the inscribed circle. Steam Workshop Downloader