the mean salary offered to students who are graduating from coastal state university this year is $24,215, with a standard deviation of $3712. A random sample of 80 coastal state students graduating this year has been selected. What is the probability that the mean salary offer for these 80 students is $24,250 or more?

Answers

Answer 1

Given that the mean and standard deviation of the population are $24,215 and $3712 respectively,

[tex]\begin{gathered} \mu=24215 \\ \sigma=3712 \end{gathered}[/tex]

The sample size taken is 80,

[tex]n=80[/tex]

Consider that the salary of students in the sample is assumed to follow Normal Distribution with mean and standard deviation as follows,

[tex]\begin{gathered} \mu_x=\mu\Rightarrow\mu_x=24215 \\ \sigma_x=\frac{\sigma}{\sqrt[]{n}}=\frac{3712}{\sqrt[]{80}}\approx415 \end{gathered}[/tex]

So the probability that the mean salary (X) is $24250 or more, is calculated as,

[tex]\begin{gathered} P(X\ge24250)=P(z\ge\frac{24250-24215}{415}) \\ P(X\ge24250)=P(z\ge0.084) \\ P(X\ge24250)=P(z\ge0)-P(0From the Standard Normal Distribution Table,[tex]\begin{gathered} \emptyset(0.08)=0.0319 \\ \emptyset(0.09)=0.0359 \end{gathered}[/tex]

So the approximate value for z=0.084 is,

[tex]\emptyset(0.084)=\frac{0.0319+0.0359}{2}=0.0339[/tex]

Substitute the value in the expression,

[tex]\begin{gathered} P(X\ge24250)=0.5-0.0339 \\ P(X\ge24250)=0.4661 \end{gathered}[/tex]

Thus, there is a 0.4661 probability that the mean salary offer for these 80 students is $24,250 or more.


Related Questions

Fill in the missing number to complete the linear equation that gives the rule for this tablex: 4, 5, 6, 7y: 32, 40, 48, 56y = ?x

Answers

according to the equation and information given we can see that the equation is in the form

[tex]y=kx[/tex]

in which k is the constant of proportionality

use one of the points to find the constant

[tex]\begin{gathered} 32=k(4) \\ k=\frac{32}{8} \\ k=8 \end{gathered}[/tex]

replace withone of the points to see if its true in all the points

[tex]\begin{gathered} 40=8\cdot5 \\ 40=40 \end{gathered}[/tex]

according to this the equation for the table will be

[tex]y=8x[/tex]

If the trend shown in the graph above continued into the next year, approximately how many sport utility vehicles were sold in 1999?

Answers

ANSWER :

EXPLANATION :

Find the volume of the figure. 6 cm. 6 cm. 1 8 cm. 10 cm. Volume of the prism cm3

Answers

Answer:

The volume of the pyramid is 144 cm³

Explanations:

The volume of a prism is given by the formula:

V = BH

where B is the base area

and H is the height

The base of the the pyramid is the lateral triangle, and the area is given by the formula:

B = 0.5 x b x h

b = 8 cm

h = 6 cm

B = 0.5 x 8 x 6

B = 24 cm²

The volume is then:

V = BH, where H = 6 cm

V = 24 x 6

V = 144 cm³

Find the midpoint for the line segment whose endpoints are (-10,11) and (-1,-15).

Answers

[tex]\begin{gathered} \text{the midpoint of a line segment with endpoints } \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ } \\ \text{has coordinates} \\ (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \\ So,\text{ if our points are (-10,11) and (-1,-15) then the midpoint is} \\ (\frac{-10+(-1)}{2},\frac{11+(-15)}{2})=(\frac{-11}{2},-\frac{4}{2}) \\ \\ \text{the midpoint is then } \\ (\frac{-11}{2},-2) \end{gathered}[/tex]

Answer:

( -11/2, -2)

Step-by-step explanation:

Finding the midpoint

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and then divide by 2

(-10+-1)/2 = -11/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and then divide by 2

(11+-15)/2 = -4/2 = -2

The  mid point is ( -11/2, -2)

given ABCD is congruent EFGH. solve for x. Round the answers to the nearest hundredth

Answers

As ABCD is congruent withEFGH, it means that both figures have the same mesarurements, even if their orientation is different.

Then, you have that the angle in A is congruente with the angle in E, the angle B is congruent with the angle F, the angle C is congruent with the angle G, the angle D is congruent with the angle H.

[tex]\begin{gathered} \angle A=\angle E \\ \angle B=\angle F \\ \angle C=\angle G \\ \angle D=\angle H \end{gathered}[/tex]

Then:

[tex]3x^2-4x+10=16[/tex]

You solve the x from the equation above:

1. Equal the equation to 0

[tex]\begin{gathered} 3x^2-4x+10-16=0 \\ 3x^2-4x-6=0 \end{gathered}[/tex]

2. Use the quadratic equation:

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex][tex]\begin{gathered} x=\frac{-(-4)\pm\sqrt[]{(-4)^2-4(3)(-6)}}{2(3)} \\ x=\frac{4\pm\sqrt[]{16+72}}{6} \\ x=\frac{4\pm\sqrt[]{88}}{6} \\ x_1=\frac{4-\sqrt[]{88}}{6},x_2=\frac{4+\sqrt[]{88}}{6} \\ x_1=-0.896,x_2=2.230 \end{gathered}[/tex]

3. As you get two solutions for x. You need to prove which is the right solution:

with x1:

[tex]\begin{gathered} 3x^2-4x+10=16 \\ 3(-0.896^2)-4(-0.869)+10=16 \\ 11.17\ne16 \end{gathered}[/tex]

with x2:

[tex]\begin{gathered} 3x^2-4x+10=16 \\ 3(2.23^2)-4(2.23)+10=16 \\ 15.99\approx16 \end{gathered}[/tex]

As you can see the right solution is x2, because if you subtitute the x in the equation of the angle A that must be equal to 16, just the x2 gives an approximate value to 16.

Then, the solution for the x is x=2.23

Jane is attending physical therapy after knee surgery. She walked 9 3/4 miles over 3 days. How many miles is this per day? (Simplify the answer and write it as a mixed number.)

Answers

She walked 3 1/4 miles per day.

Given,

Jane walked 9 3/4 miles in the course of 3 days.

If we calculate this mixed number into a fraction,

We get:

9 3/4 miles = {(9×4)+3} / 4 miles

=39/4 miles.

So, Jane walks 39/4 miles in 3 days.

Therefore, in one day she walked:

(39/4 ÷ 3) miles

= 13/4 miles per day

Let's now convert this fraction into a mixed number:

when 13 is divided by 4 we get the remainder as 1 and the quotient as 3.

So, a mixed number is given by:

quotient remainder/divisor

Hence 13/4 = 3 1/4.

So, Jane walked 3 1/4 miles per day.

Learn more about mixed number at

https://brainly.com/question/21610929

Write the rate as fraction in simplest form 22 gallons of pest rifles for 8 acres of crops

Answers

Since the given rate is 22 gallons of pest for 8 acres of crops, then

We need to find how many acres per gallon

Then we will divide 22 acres by 8 gallons to find the rate

[tex]rate=\frac{22}{8}[/tex]

Divide up and down by 2 to simplify

[tex]\begin{gathered} rate=\frac{\frac{22}{2}}{\frac{8}{2}} \\ \\ rate=\frac{11}{4} \end{gathered}[/tex]

The answer is:

The rate is 11/4 gallon per acre (2 3/4)

FIND THE MEASURE OF EACH EXTERIOR ANGLE OF 40

Answers

Solution

The sum of exterior angles is 360º for any polygon

So then we can find the measure of the exterior angles like this:

360/40 = 9º

An object moves at a rate of 9,400 inches each week. How many feet does it move per minute?

Answers

To answer this question, we need to transform each of the values into the corresponding other units:

• Inches ---> Feet

,

• Week ---> minutes

And we also have here a ratio:

• Inches/week ---> Feet/minute.

Then we can proceed as follows:

Inches to Feet

We know that the conversion between inches and feet is:

[tex]1ft=12in[/tex]

Then

[tex]1in=\frac{1}{12}ft[/tex]

If we have 9,400 inches, then:

[tex]9400in=\frac{9400}{12}ft\Rightarrow9400in=783ft+\frac{1}{3}ft=783.33333333ft[/tex]Week to minutes

We know that:

[tex]1\text{hour}=60\min [/tex]

In one day we have 24 hours, then:

[tex]24\text{hours}=24\cdot60\min =1440\min [/tex]

Then we have 1440 minutes in a day. A week has 7 days. Therefore, we will have:

[tex]1440\frac{\min}{day}\cdot7days=10080\min [/tex]

Therefore, we have that there are 10,080 minutes in one week.

Now, to find the ratio of feet per minute, we need to divide:

[tex]\frac{783\frac{1}{3}ft}{10080\min}=0.0777116402116\frac{ft}{\min }[/tex]

In summary, we can say that the object moves:

[tex]0.0777116402116\frac{ft}{\min }[/tex]

into the

Give. ∆ABC Angle B = 42°, Angle C = 71° and BC = 22. Find AB and round your answer to nearest integer.

Answers

Let's make a diagram to visualize the problem.

First, let's find angle A.

[tex]\begin{gathered} A+B+C=180 \\ A+42+71=180 \\ A=180-71-42 \\ A=67 \end{gathered}[/tex]

Then, we use the law of sines to find AB.

[tex]\begin{gathered} \frac{AB}{\sin71}=\frac{BC}{\sin A} \\ \frac{AB}{\sin71}=\frac{22}{\sin 67} \\ AB=\frac{22\cdot\sin 71}{\sin 67} \\ AB\approx23 \end{gathered}[/tex]Therefore, AB is 23 units long, approximately.

Solve the following quadratic equation by factoring. If needed, write your answer as a fraction reduced to lowest terms

Answers

The given equation is

[tex]y^2-5y-36=0[/tex]

For solving it we will factorize the number 36 as 9 x 4 which on subtraction gives 5 and on multiplication gives 36.

Then, we have

[tex]\begin{gathered} y^2-(9-4)y-36=0 \\ y^2-9y+4y-36=0 \\ y(y-9)+4(y-9)=0 \\ (y-9)(y+4)=0 \\ y-9=0\text{ and y+4=0} \\ y=p\text{ and y=-4} \end{gathered}[/tex]

Hence, the values of y are 9 and -4.

Let f(x)= 1/x-2 and g(x)=5/x+2Find the following functions. Simplify your answers.F(g(x))=g(f(x))=

Answers

Answer: [tex]\begin{gathered} a)\text{ }f(g(x))\text{ = }\frac{x}{5} \\ \\ b)\text{ g\lparen f\lparen x\rparen\rparen = 5x - 8} \end{gathered}[/tex]

Explanation:

Given:

[tex]\begin{gathered} f(x)\text{ = }\frac{1}{x\text{ - 2}} \\ g(x)\text{ = }\frac{5}{x}\text{ + 2} \end{gathered}[/tex]

To find:

a) f(g(x)) b) g(f(x))

[tex]\begin{gathered} a)\text{ f\lparen g\lparen x\rparen\rparen: we will substitue x in f\lparen x\rparen with g\lparen x\rparen} \\ f(g(x))\text{ = }\frac{1}{(\frac{5}{x}+2)-2} \\ \\ f(g(x))\text{ = }\frac{1}{(\frac{5+2x}{x})-2} \\ \\ f(g(x))\text{ = }\frac{1}{(\frac{5+2x-2x}{x})}\text{ = }\frac{1}{\frac{5}{x}} \\ \\ f(g(x))\text{ = }\frac{x}{5} \end{gathered}[/tex][tex]\begin{gathered} b)\text{ g\lparen f\lparen x\rparen\rparen: we will substitue x in g\lparen x\rparen with f\lparen x\rparen} \\ g(f(x))\text{ = }\frac{5}{\frac{1}{x-2}}+2 \\ \\ g(f(x))\text{ = }\frac{5(x\text{ -2\rparen}}{1}+2 \\ \\ g(f(x))\text{ = }5(x\text{ -2\rparen}+2\text{ = 5x - 10 + 2} \\ \\ g(f(x))\text{ = 5x - 8} \end{gathered}[/tex]

64, 57, 50, 43, ... 50th term

Answers

For the next series, we will calculate its expression

[tex]v(n)=64-7(n-1)[/tex]

For n = 1

v = 64

For n = 2

v = 57

For n = 3

v = 50

For n = 50

v = -279

Evaluate the following expression.
1-4x (-3) +8 x (-3)

Answers

Answer:

-11

Step-by-step explanation:

1-4x(-3)+8x(-3)=

first you multiple

-4x(-3)=12

8x(-3)= -24

bring down the 1

1+12-24=

now we add

13-24=

then subtract and we get

-11

In the accompanying regular pentagonal prism, suppose that each base edge measures 7 in. and that the apothem of the base measures 4.8 in. The altitude of the prism measures 10 in.A regular pentagonal prism and a pentagon are shown side by side. The pentagon contains a labeled segment and angle.The prism contains a horizontal top and bottom and vertical sides. The front left face and front right face meet the bottom base at right angles.The pentagon is labeled "Base".A line segment starts in the center of the pentagon, travels down vertically, and ends at the edge. The segment is labeled a.The vertical segment forms a right angle with the edge.(a)Find the lateral area (in square inches) of the prism.in2(b)Find the total area (in square inches) of the prism.in2(c)Find the volume (in cubic inches) of the prism.in3

Answers

To determine the lateral area of the prism;

[tex]Lateral\text{ area=perimeter of the base}\times height[/tex][tex]Lateral\text{ area=5\lparen7\rparen }\times10=350in^2[/tex]

To determine total area of the prism;

[tex]Total\text{ area=2\lparen area of base\rparen+Lateral area}[/tex][tex]\begin{gathered} Total\text{ area of the prism=2\lparen}\frac{1}{2}\times perimeter\text{ of the base}\times apotherm\text{\rparen+350} \\ \end{gathered}[/tex][tex]\begin{gathered} Total\text{ area of the prism=2\lparen}\frac{1}{2}\times5(7)\times4.8\text{\rparen+380=168+350=518in}^2 \\ \end{gathered}[/tex]

To determine the volume of the prism;

[tex]Volume\text{ = base area }\times height[/tex][tex]Volume=\frac{1}{2}\times5(7)\times4.8\times10=840in^3[/tex]

Hence

An insurance company offers flood insurance to customers in a certain area. Suppose they charge $500 fora given plan. Based on historical data, there is a 1% probability that a customer with this plan suffers aflood, and in those cases, the average payout from the insurance company to the customer was $10,000.Here is a table that summarizes the possible outcomes from the company's perspective:EventFloodPayout Net gain (X)$10,000 -$9,500$0$500No floodLet X represent the company's net gain from one of these plans.Calculate the expected net gain E(X).E(X) =dollars

Answers

The given is a discrete random variable.

For a discrete random variable, the expected value is calculated by summing the product of the value of the random variable and its associated probability, taken over all of the values of the random variable.

It is given that the probability of a flood is 1%=0.01.

It follows that the probability of no flood is (100-1)%=99%.

Hence, the expected net gain is:

[tex]E(X)=0.01(-9500)+0.99(500)=-95+495=400[/tex]

Hence, the expected net gain is $400.

The expected net gain is E(X) = $400.

You deposit $5000 in an account earning 6% interest compounded continuously. How much will you have in the account in 5 years?

Answers

For us to determine how much the account will be in 5 years at compounded continuously, we will be using the following formula:

[tex]\text{ A = P}_0e^{rt}[/tex]

Where,

P = Principal amount (Initial Value)

A = Final amount (Future Value)

r = interest rate (in decimal)

t = time (in years)

e = mathematical constant approximately 2.7183

Given:

P = $5,000

r = 6% = 6/100 = 0.06

t = 5 years

We get,

[tex]\text{ A = P}_0e^{rt}[/tex][tex]\text{ A = (5,000)(2.7183)}^{(0.06)(5)}[/tex][tex]\text{ A = (5,000)(2.7183)}^{0.3}[/tex][tex]\text{ A = (5,000)(}1.34986151469)[/tex][tex]\text{ A = }6,749.30757343\text{ }\approx\text{ \$6,749.30}[/tex]

Therefore, in 5 years, at 6% compounded continuously, your account will be $6,749.30

write an equation in slope -intercept form for the line with y- intercept -1 and slope -3/2

Answers

The line equation in the slope -intercept form can be written as,

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y intercept.

Given,

m = -3/2 and b = -1, therefore we can write the equation as,

[tex]y=-\frac{3}{2}x-1[/tex]

The equation is, y =(-3/2)x-1.

50 points.
Daisy is a botanist who works for a garden that many tourists visit. The function f(s) = 3s + 30 represents the number of flowers that bloomed, where s is the number of seeds she planted. The function s(w) = 12w represents the number of seeds she plants per week, where w represents the number of weeks.

Part A: Write a composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks.

Part B: What are the units of measurement for the composite function in Part A?

Part C: Evaluate the composite function in Part A for 36 weeks.

Answers

From the situation described in this problem, it is found that:

A. The composite function is: f(s(w)) = 36w + 30.

B. The unit of measurement of the composite function is: flowers.

C. After 36 weeks, Daisy can expect to bloom 1326 flowers.

Composite function

For a composite function, the output of the inner function serves as the input of the outer function.

In the context of this problem, the functions are given as follows:

f(s) = 3s + 30.s(w) = 12w.

Hence the composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks is:

f(s(w)) = f(12w) = 3(12w) + 30 = 36w + 30.

The unit of measurement of the composite function is the unit of the outer function, which is flowers.

After 36 weeks, the number of flowers that Daisy can expect to bloom is given as follows:

f(s(36)) = 36(36) + 30 = 1326 flowers.

More can be learned about composite functions at https://brainly.com/question/10687170

#SPJ1

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (-5.3, 1). The finishing point will be at(1, -5.3). Quadranto Quadrant P Quadrant Quadrants Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points) Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are d. (4 points)

Answers

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (-5.3, 1). The finishing point will be at(1, -5.3). Quadranto Quadrant P Quadrant Quadrants Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points) Part B: A checkpoint will be at (5.3, 1). In at least two sentences, describe the difference between the coordinates of the starting point and the checkpoint, and explain how the points are d. (4 points)​

Part A

we have

starting point of the race is (-5.3, 1)

the x-coordinate is negative and the y coordinate is ;positive

that means-------> is located on quadrant Q

finishing point is (5,3, 1)

x-coordinate is postive and y coordinate is positive

that means -----> is located on Quadrant P

Answer:

Step-by-step explanation:

part A

A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship? 40x + 657 $ 2.400 rty < 45 C) | 40r + 657 $ 45 | x + y < 2.400 B) [xu y < 2.100 40x + 657 $ 2.400 xl y < 1

Answers

Let:

x = number of 40-pound boxes

y = number of 65-pound boxes

The forklift can carry up to either 45 boxes

This means:

[tex]x+y\leq45[/tex]

The forklift can carry up a weight of 2,400 pounds:

This means:

[tex]40x+65y\leq2400[/tex]

An actor invests some money at 7%, and $24000 more than three times the amount at 11%. The total annual interest earned from the investment is $27040. How much did he invest at each amount? Use the six-step method.

Answers

0.07x+0.11(3x+24000)=27040

we will solve for x

x=61,000 [ investment at 7%]

Investment at 11% = 3x + 24000

= 3(61000)+24000

= 207000 [ investment at 11%]

What is the area of a rectangle with vertices
(-1, -4), (-1, 6), (3, 6), and (3, -4)?
* 16 square units
24 square units
O 36 square units
40 square units

Answers

The most appropriate choice for distance formula will be given by Area of rectangle is 40 sq units

What is distance formula?

Distance formula is used to find the distance between two points.

Let A and B be two points with coordinate [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] respectively

Distance between A and B = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

Here,

Let A = (-1 , -4), B = (-1, 6), C = (3, 6) and D = (3, -4)

Length of AB =

[tex]\sqrt{((-1)-(-1))^2 + (-4-6)^2}\\\sqrt{100}\\10 units[/tex]

Length of BC =

[tex]\sqrt{((-1)-3)^2 + (6-6)^2}\\\sqrt{16}\\4 units[/tex]

Length of rectangle = 10 units

Breadth of rectangle = 4 units

Area of rectangle = [tex]10 \times 4[/tex] = 40 sq units

Fourth option is correct

To learn more about distance formula, refer to the link
https://brainly.com/question/661229
#SPJ13

how do i find the sale price?if original price is $77.00markdown is 32%

Answers

The markdown price can be calculated as,

[tex]\begin{gathered} \text{Markdown price}=\frac{Markdown\text{ Percent}}{100}\times Original\text{ price} \\ \text{Markdown price}=\frac{32}{100}\times77 \\ \text{Markdown price}=24.64 \end{gathered}[/tex]

Now, the sale price is,

[tex]\begin{gathered} \text{Sale price=Original price -markdown price} \\ \text{Sale price=}=77-24.64 \\ \text{Sale price=}52.36 \end{gathered}[/tex]

Therefore, the sale price is $52.36.

Trying to solve this problem kind of having a hard time

Answers

Future Value of an Investment

The formula to calculate the future value (FV) of an investment P for t years at a rate r is:

[tex]FV=P\mleft(1+\frac{r}{m}\mright)^{m\cdot t}[/tex]

Where m is the number of compounding periods per year.

Leyla needs FV = $7000 for a future project. She can invest P = $5000 now at an annual rate of r = 10.5% = 0.105 compunded monthly. This means m = 12.

It's required to find the time required for her to have enough money for her project.

Substituting:

[tex]\begin{gathered} 7000=5000(1+\frac{0.105}{12})^{12t} \\ \text{Calculating:} \\ 7000=5000(1.00875)^{12t} \end{gathered}[/tex]

Dividing by 5000:

[tex]\frac{7000}{5000}=(1.00875)^{12t}=1.4[/tex]

Taking natural logarithms:

[tex]\begin{gathered} \ln (1.00875)^{12t}=\ln 1.4 \\ \text{Operating:} \\ 12t\ln (1.00875)^{}=\ln 1.4 \\ \text{Solving for t:} \\ t=\frac{\ln 1.4}{12\ln (1.00875)^{}} \\ t=3.22 \end{gathered}[/tex]

It will take 3.22 years for Leila to have $7000

An earthquake in California measured 3.6 on the Richter scale. Use the formula R=log(A/Ao) to determine approximately how many times stronger the wave amplitude of the earthquake was than .

Answers

The correct option regarding how many times stronger the wave amplitude of the earthquake was than the standard wave Ao is given by:

A = 3981Ao.

Ratio of A and Ao

To find the ratio of A and Ao, measuring how many times a earthquake measuring R in the Richter scale was than Ao, we have to solve the following logarithmic function:

R=log(A/Ao)

The power of 10 in inverse to the logarithm, hence it is applied to both sides of the expression, as follows:

10^R = 10^log(A/Ao).

Since they are inverses, we can remove the power and the logarithm as follows:

A/Ao = 10^R

Hence the formula for how many times stronger and earthquake is than Ao is given as follows:

A = 10^R Ao

In this problem, the Richter measure of the earthquake was of:

R = 3.6.

Hence the ratio is:

A = 10^(3.6)Ao

A = 3981Ao.

Missing information

The problems asks how many times stronger the earthquake was than Ao.

Learn more about logarithmic functions at https://brainly.com/question/14379331

#SPJ1



4. A pool measuring 24 feet by 16 feet is
surrounded by a uniform path of width x feet.
The total enclosed area is 768 ft².
Find x, the width of the path.

Answers

The width of the path, x, is 48 feet

How to determine the parameters

The formula for determining the area of a rectangle is expressed as;

Area = lw

Where;

l is the length of the given rectanglew is the width of the given rectangle

From the image shown and the information given, we can see that;

The width is given as = x

The area of the rectangle =  768 ft²

The length of the rectangle = 16

Now, substitute the values, we have;

768 = 16x

Make 'x' the subject of formula by dividing both sides by its coefficient, we have;

768/16 = 16x/16

Find the quotient

x = 48 feet

But, we have;

Width = x = 48 feet

Hence, the value is 48 feet

Learn more about area here:

https://brainly.com/question/25292087

#SPJ1

[tex](3 {s}^{2} +9s + 3) - ( {6}s + 1)[/tex]Add and subtract polynomialsFor this one we're doin subtract!!!!

Answers

Given data:

The given expression is (3 s^2 +9s + 3) - ( 6s + 1).

The given expression can be written as,

[tex](3s^2+9s+3)-(6s+1)=3s^2+3s+2[/tex]

Thus, the simplification of the given expression is 3s^2 +3s +2.

Which linear inequality is represented by the graph?1. y≤ 2x+42. y≤ x+33. y²x+34. y≥ 2x+3

Answers

Given a graph represented a linear inequality.

First, we will find the equation of the shown line.

As shown, the line passes through the points (0, 3) and (2, 4)

the general equation of the line in the slope-intercept form will be:

[tex]y=mx+b[/tex]

Where (m) is the slope and (b) is the y-intercept

b = y-intercept = 3

We will find the slope as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-3}{2-0}=\frac{1}{2}[/tex]

So, the equation of the line will be:

[tex]y=\frac{1}{2}x+3[/tex]

As shown, the point (0, 0) lying in the area of the solution

So, the linear inequality will be as follows:

[tex]y\leq\frac{1}{2}x+3[/tex]

MEASUREMENT Choosing metric measurement units Fill in the blanks below with the correct units. (a) Amanda bought a candy bar. Its mass was about 50 ? (b) A dollar bill is about 15 ? long (c) The can of soda held about 350 .

Answers

Explanation

We are asked to fill in the missing blanks

Part 1

The weight of a Candy bar is in grams

So the answer will be

Amanda bought a candy bar. Its mass was about 50 grams

Part 2

A dollar bill should be about 15 centimeters

Therefore, the answer is

A dollar bill is about 15 centimeters long

Part 3

A can of soda should a capacity in mililiters

Therefore, the answer will be

The can of soda held about 350 mililiters

Other Questions
Explain how social and economic groups (the work-ing class, middle class, and upper class) experiencedcity life and culture similarly and differently.Respond in at least three sentences. upstream activities in the value chain are concerned, in part, with group of answer choices the support activities. input logistics. the primary activities. after market service. what is the purpose of completing a job application form or sending a resume and a cover letter? The process of aggregating prospective buyers into groups with common needs that will respond similarly to a marketing action is called ______. Which geographic feature allowed the Mid-Atlantic colonies to have a longer growing season than the New England colonies? Which kitchen equipment is usually a heavy oval or rectangular pan, often comes with a wire rack, and is used to cook large cuts of meat or poultry?. rebecca siddoway own and operate country candies. siddoway specializes in making rich, creamy toffees that she packages in attractive gift boxes and sells through the mail. what would be the advantage to siddoway if she decides to incorporate her business? What could happen if the global temperature rises just a few degrees? a machine has a efficiency of 20%, find the input work if the output work is 140 J 1. Completa usando un verbo en presente de indicativo.1. (trabajar) Yo2. (hablar) tu3. (tomar) el4. (necesitar) nosotros5. (escuchar) vosotros,6. (preparar) ellos_7. (escuchar) Yoen una oficinapor telfono.las aspirinas con agua.un automvil.a msica.los refrescos.a msica. According to claude steele, how can teachers combat the effects of stereotype threat in the classroom?. In the figure shown, what is mzA? Explain.57; AABC is an isosceles triangle with base angles A and C. m2A = mc.B. 66; AABC is an isosceles triangle with base angles B and C. m2B = m_C = 57, and m2A + m2B + m2 = 180.C. 57. AABC is an equilateral triangle. a(n) is the difference between how much of an input was actually used and how much should have been used and is stated in dollar terms using the standard price of the input. What are your thoughts on the ted bundy case? do you agree with the decision of killing him? What are your thoughts on Miranda v Arizona? which of the following accurately describes culture and organizations?multiple choiceorganizations have unique cultures that influence how their members operate.culture exists only outside of an organization, not within it.organizations always rely on cues from pop culture in creating an environment.organizational culture really only shows itself at social events like company picnics. Toms car has 11 1/9 gallons of gas. If he uses 3/8 of the gas, how much gas does the car have left? Which viewpoint is shared by the authors of Make Your Own Microscope and Stick to Real Microscopes? How does Captain Keller treat his two children, Helen and James? Why do you think he treats them differently? The united states found it difficult to remain neutral during the first three years of world war i because of its desire to . Triangle ABC is translated T(x,y) --> (x + 2, y - 3). What are the coordinates of the image of triangle ABC after this translation?