1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veronika [31]
3 years ago
7

Dakota’s parents are creating her practice ballet studio and want to install baseboards around the perimeter of the rectangular

room with sides measuring 13 feet 8 inches and 12 feet 3 inches.
1. Estimate the perimeter of the room and explain how you got the estimate.


2. Write the dimensions of the room as mixed numbers. Remember 1 foot = 12 inches. What does the fractional part of each mixed number represent?


3. Find the perimeter of the room. Show your work.


4. How does your result from part 3 compare to your estimate in part 1?


5. The baseboard will not go across the doorway of the room which is 2 ¼ feet wide.
a. Taking into account the doorway, calculate the new length of baseboard needed for the room.



b. The hardware store sells the baseboards in 8 foot lengths. How many boards need to be purchased to install new baseboards in the room?
Mathematics
1 answer:
kherson [118]3 years ago
4 0

1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.


You might be interested in
1 minute is equal to 60 seconds. How many seconds are in 4 minutes, 14 seconds?
Svet_ta [14]

Answer:

254 seconds

Step-by-step explanation:

If 1 minute = 60 second

then

60 x 4 = 240 second

then add 14

240 + 14 = 254

Therefore, there are 254 second in 4 minutes and 14 seconds

7 0
3 years ago
Read 2 more answers
What is 8x2/5? (Plz answer fast)
Basile [38]

Answer:

fraction: 3 1/5  

Step-by-step explanation:

6 0
3 years ago
Help me on isosceles and equilateral triangles problems. Find the value of x in the triangle shown below.​
trapecia [35]

Answer:

  x° = 61°

Step-by-step explanation:

Both of the "unknown" angles in the triangle are equal, since their opposite sides have equal lengths. (The triangle is isosceles.) The sum of angles in a triangle is 180°, so we have ...

  58° + x° + x° = 180°

  2x° = 122° . . . . subtract 58°, collect terms

  x° = 61° . . . . . . . divide by 2

3 0
3 years ago
2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider
Maurinko [17]

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62\overline 6

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

\hat p = \dfrac{x}{n}

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, \hat p = 376/600 = 0.62\overline 6

c. The confidence interval for a proportion is given as follows

CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Therefore, we get;

CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

MOE_\gamma = z_\gamma  \times \sqrt{\dfrac{\sigma ^2}{n} }

Where;

MOE_\gamma = Margin of error at a given level of confidence

z_\gamma = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

6 0
2 years ago
kara is jogging on a track that is 1500 feet. she can do one lap in 4 minutes. find karas speed in feet per minute
adelina 88 [10]
I think the answer is 600p
5 0
3 years ago
Other questions:
  • How to do this question
    10·1 answer
  • What are the focus and directrix of the parabola that is the graph of the function f(x)=x²?
    14·1 answer
  • Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkboo
    13·2 answers
  • I need some help with geometry.
    7·2 answers
  • The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what w
    7·1 answer
  • Help look at the pic
    6·2 answers
  • James has $120 in his savings account and plans to save 5x each month for 6 months. The expression 56x + 120 represents the tota
    13·1 answer
  • Sam opened a money-market account that pays 2% simple interest. He started the account with $7,000 and made no further
    15·1 answer
  • Whoever answers I’ll mark brainliest
    11·2 answers
  • (a²-4) (9-b²) +24ab algebraic factorization​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!