A rectangular garden measures 26ft by 37ft. Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path. Be sure to include the correct unit in your answer.

Answers

Answer 1
With the 2 ft extra border the garden measure 28x39 = 1092
Without the border. 26x37= 962

1092-962 = 130

The area of this path is 130 squared feet

Related Questions

Tom went to a car show over the weekend. he saw 5 blue cars, 2 white trucks, and 10 black cars. what is the ratio of black cars to all motor vehicles.

please help please please please please please.​

Answers

Answer:41

Step-by-step explanation:the week end is three days and he saw 5 blue car and 2 white car and 10 black car multiple 5 times 3 and = 15 now multiple 2 times 3 = 6 then add 15 and 6 and 10

Answer:

I think it is 10:17 the ratio

please help asap
photo attached
choices are
A. -8
B. -6
C. 0
D. 22

Answers

I think it is b!!!!!!

A student researcher compares the ages of cars owned by students and cars owned by faculty at a local state college. A sample of 263 cars owned by students had an average age of 7.25 years. A sample of 291 cars owned by faculty had an average age of 7.12 years. Assume that the population standard deviation for cars owned by students is 3.77 years, while the population standard deviation for cars owned by faculty is 2.99 years. Determine the 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty. Step 1 of 3: Find the point estimate for the true difference between the population means.

Answers

Answer:

The point estimate for the true difference between the population means is 0.13.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Step-by-step explanation:

To solve this question, before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When we subtract two normal variables, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.

A sample of 263 cars owned by students had an average age of 7.25 years. The population standard deviation for cars owned by students is 3.77 years.

This means that:

[tex]\mu_s = 7.25, \sigma_s = 3.77, n = 263, s_s = \frac{3.77}{\sqrt{263}} = 0.2325[/tex]

A sample of 291 cars owned by faculty had an average age of 7.12 years. The population standard deviation for cars owned by faculty is 2.99 years.

This means that:

[tex]\mu_f = 7.12, \sigma_f = 2.99, n = 291, s_f = \frac{2.99}{\sqrt{291}} = 0.1753[/tex]

Difference between the true mean ages for cars owned by students and faculty.

Distribution s - f. So

[tex]\mu = \mu_s - \mu_f = 7.25 - 7.12 = 0.13[/tex]

This is also the point estimate for the true difference between the population means.

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2325^2+0.1753^2} = 0.2912[/tex]

90% confidence interval for the difference:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = zs = 1.645*0.2912 = 0.48[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 0.13 - 0.48 = -0.35 years

The upper end of the interval is the sample mean added to M. So it is 0.13 + 0.48 = 0.61 years.

The 90% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -0.35 years and 0.61 years.

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.

Answers

9514 1404 393

Answer:

  968

Step-by-step explanation:

The area of the top and sides is given by the formula ...

  A = LW +2H(L +W)

  A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)

  A = (360 +16(38)) cm² = 968 cm²

Since the tiles are 1 cm², 968 tiles are needed.

sin 0
4. Find tan0 .
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

Justin recently drove to visit his parents who live 300 miles away. On his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 10 hours driving, find the two rates.

Answers

Answer:

x=1

Step-by-step explanation:

The steps to simplify the expression 5÷1 over 100 times-0.7 times -20 oh shown below with one missing step which is the missing step

Answers

Answer:

i did it 4 times and the answer is D

Step-by-step explanation:

Answer:

Option D) is Correct

Step-by-step explanation:

I took the test on T4L and got it right.

help please :((( this is the last math problem

Answers

Answer:

11.53 degrees.

Step-by-step explanation:

ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53

Answer:

11.5396°

Step-by-step explanation:

Please see the attached image

We can do sin(x)=2/10, which simplifies to sin(x)=1/5

To get x by itself do [tex]x=sin^{-1}[/tex](1/5) which ≈11.5396°

The graph represents the number y of attendees to a market research conference after x years.
Write an exponential function that represents the number of attendees to the conference.

Answers

Ok, I hope im right. (Others correct me if im not. But when I worked out this problem I got y is approximatly 4,882 attendees after 6 years.

Gathering info from the graph I created a table

(0,20) , (1,30) , (2,45), ...

I found the difference between the points listed. For example, 30÷20 is 1.5. So, each point is multiplied times 1.5 to continue the sequence.

Use the equation: y=a(1+r)^t

Remember what each variable stands for. That way you can plug in the correct information

Continuing..

y=a(1+r)^t

y=20(1+1.5)^t ; combine like terms

y=20(2.5)^t

b) Plug in the # of years. 6 in our case, everywhere you see a t

y=20(2.5)^6

y is approximately equal to 4882.8125

Round because we can only have whole numbers. we're talking about people.

I hope I got this right. But, if not, I tried

A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?

Answers

Distance travelled = speed x time
If we call the speed of the slower train S and the speed of the faster train F then
S x 6 hours = F x 2 = (S + 124) x 2
6S = 2S + 248
4S = 248
S = 62
So the slow train is travelling at 62mph and the fast train at 186mph

Find the difference: (6a + 6) - (3x - 2) - (2a + 4)

Answers

Answer:

4 a − 3 x + 4

Step-by-step explanation:

I just simplified everything together to get this answer.

Hope that this helped! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

solve x + 1 > 3. graph the solution. can someone help me out??

Answers

Answer:

x>2

Step-by-step explanation:

x+1>3

x>3-1

x>2

I hope this helps

2(a+b)+ 4m(a+b) factor out the greatest common factor​

Answers

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

[tex]gcf = 2(a + b)[/tex]

Factor out the GCF.

[tex]2(a + b)( \frac{2(a + b)}{2(a + b)} + \frac{4m(a + b)}{2(a + b)} [/tex]

now, Simplify each term in parentheses.

[tex]2(a + b)(1 + 2m)[/tex]

hence, if we factor out the GCF (greatest common factor), we get the answer 2 (a + b) (1 + 2m).

find the the ratio write the answer as a fraction and as a decimal rounded to four decimal places.​

Answers

Answer:

7 degrees

Step-by-step explanation:

It has a right angle and it's a triangle so the angle is a complementary angle so the total for the angle is 90 degrees.

So then you add 39 + 44 and get 83

So, 90 - 83 +7

So your total is 7 degrees

¿Cual es el diámetro del círculo que se puede trazar con un compás cuyo brazos miden 10 cm y forman un ángulo 34?

Answers

Answer:

Sorry that it is in english.

Step-by-step explanation:

The arms of the compass mesure the radius.

[tex]r=10\\2r=diamater (d)\\2*10=d\\20=d[/tex]

Can anyone help please???!?!?

Answers

Answer:

The third choice 2(a^3+3a^2h+3ah^2+h^3)

Step-by-step explanation:

f(a+h)=2(a+h)^3

A population of values has a normal distribution with u = 69.4 and o = 18.9. You intend to draw a random
sample of size n = 185. Please show your answers as numbers accurate to 4 decimal places.
Find the probability that a single randomly selected value is between 65.9 and 68.8.
P(65.9 < X < 68.8) =
Find the probability that a sample of size n = 185 is randomly selected with a mean between 65.9 and 68.8.
P(65.9 < < 68.8) =

Answers

Answer:

234

Step-by-step explanation:

For whole numbers between 1 and 1001, inclusive, let m be the sum of odd numbers and n be the sum of even numbers. What is the value of m−n?

Answers

Answer:

m - n = 501

Step-by-step explanation:

Remark

The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.

equation

l = a + (n - 1)*d

Solution even

l = 1000

a = 2

d = 2

1000 = 2 + (n - 1)*2

998/2 = (n - 1) * 2 / 2

499 =  n - 1

n = 500

Solution odd

l = 1001

a = 1

d = 2

1001 = 1 + (n - 1)*2

1000 =  (n - 1)*2

1000/2 =  (n - 1)2/2

500 =  n - 1

501 = n

Sum Even of even numbers from 1 to 1001

Givens

a = 2

n = 500

l = 1000

Equation

Sum = (a + l ) * n / 2

Solution

Sum = (2 + 1000)*500/2

Sum = 1002 * 250

Sum = 250500

Sum of Odd numbers from 1 to 1001

a = 1

l = 1001

n = 501

Equation

sum = (a + l)*n/2

sum = (1 + 1001) * 501

sum = (1002)*501 / 2

Sum =  251001

Answer

m - n = 251001 - 250500 = 501

I will vote Brainliest to whoever gets it right.
(It's not 2)


4 = a - 6​

Answers

Answer:

its 10

Step-by-step explanation:

add the numbers, 4 and 6 where you'll get 10

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost her to send 6 small packages
and 7 large packages?

Answers

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

a motorbike has been marked down by 38% to $130000.what is the original price?

Answers

Answer:

49400

Step-by-step explanation:

Answer:

so 38 % of 130000 = 49,400

so now after loss it's original price will be 130000-49400(38%)

=$800600

For the right triangles below, find the exact values of the side lengths b and a. If necessary, write your responses in simplified radical form. 300 Х X 5 ? 459 5 4= 45° 60 3 ​

Answers

Answer:

who knows

Step-by-step explanation:

Help and no links plzz

Answers

Answer:

20

Step-by-step explanation:

2 1/2 = 5/2

(5/2)/(1/8) = 20

What is the surface area of the cube shown? 6.5cm 6.5cm

Answers

Answer:

SA = 253.5 cm

Step-by-step explanation:

SA = 6a^2

SA = 6(6.5)^2

SA = 6(42.25)

SA = 253.50 cm

18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her $9 per hour. Write an equation for the total cost Cif Emma rents the car for h hours. If Emma has budgeted $250 for the rental cars, how many hours can she rent the car? Assume the car cannot be rented for part of an hour.​

Answers

Step-by-step explanation:

Let h be the number of hours.

Total Cost = Fixed Costs + Variable Cost

= Initial Fee + Hourly Charge

= 75 + 9h

Given,

[tex]75 + 9h = 250 \\ 9h = 250 - 75 \\ 9h = 175 \\ h = 175 \div 9 \\ = 19 \frac{4}{9} hr[/tex]

Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.

“Snoqualmie” is a name shared by a waterfall and a tribe of Native Americans. In a study of the cultural importance of the waterfall, two groups of the Snoqualmie tribe were randomly surveyed. One group consisted of Snoqualmie members living less than 25 miles from the waterfall. Another group consisted of Snoqualmie members living more than 25 miles from the waterfall. The researchers asked each member to rate the cultural importance of the waterfall as low, medium, or high. Data from the study are presented in the following table.

Answers

Answer: E ( (17)(50)/88 )

Step-by-step explanation:

(Row total * column total) / table total

27 campers ate 567 pancakes during a week−long trip. If each camper ate the same amount, how many pancakes did each camper eat?

Answers

Answer:

23.6

Step-by-step explanation:

The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2).

Weekly Gross Revenue Television Advertising Newspaper Advertising
() () ()
97 5.0 2.5
90 2.0 2.0
96 5.0 2.5
93 3.5 2.5
95 3.0 4.3
95 4.5 2.3
94 2.5 5.2
94 3.0 2.5

The estimated regression equation was:_______

Answers

Answer:

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

Step-by-step explanation:

Given the data:

Weekly Gross Revenue (Y) :

97

90

96

93

95

95

94

94

Television Advertising (X1) :

5

2

5

3.5

3

4.5

2.5

3

Newspaper Advertising (X2) :

2.5

2

2.5

2.5

4.3

2.3

5.2

2.5

The regression equation obtained using a multiple regression calculator is :

ŷ = 1.85057X1 + 0.9688X2 + 84.77516

x1 and x2 are the predictor variables

y is the predicted variable (Weekly Gross Revenue).

Slope x1 = 1.85057

Slope x2 = 0.9688

Intercept = 84.77516

The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.


A) Define the variables.


B) Write a systems of equations for the situation.


C) Graph the system.

Answers

Answer:

C

Step-by-step explanation:

Hope this help and have a nice day

The width of a rectangle is 2 3/8 inches. The rectangle is 1 3/4 inches longer than it is wide Find the Length of the rectangle and preimeter of the rectangle

Answers

Answer:

We need to find length and width.  To find two unknowns we need two equations.

P = 2L + 2W = 34

L = W + 3

34 = 2(W + 3) + 2W

34 = 2W + 6 + 2W

28 = 4W

W = 7

L = 7 + 3 = 10

The length is 10 inches and the width is 7 inches.

Step-by-step explanation:

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