3. You have decided to wallpaper your rectangular bedroom. The dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 i
2 answers:
Answer:
Correct answer is B. 5Rolls
Step-by-step explanation:
- First you have to put all values in same unit of measurement,
- knowing that 1 foot=12 inches, we apply 3 rule:
12 inches is 1 feet
6 inches is 6/12 feet= 0,5 feet.
12 inches is 1 foot
30 inches is 30/12 feet=2,5feet.
2. Second,you have to calculate the total surface where you will wallpaper.
So you have to calculate the dimension of 2 different rectangles and substract the surfaces that you don't have to wallppaper (door and windows).
- Let's calculate the surface of the rectancles. Let's put all units in feets.
3. Now we have to calculate the area to substract from the total area, since you will not wallpaper the door and windows:
4. Total area to wallpaper is Total surface of the room minus door and windows surface:
5. Now you have to add 10% waste to the calculated surface:
6. So, you have the real area that will wallpaper considering 10% waste, it is 326.23 square feet. To calculate how many rolls you will need, you have to calculate the surface that each roll covers and then divide total surface by roll surface.
7. As the number of rolls is not integer you have to round, then the answer is you will need 5 rolls of wallpaper.
Answer:
B. 5 rolls
Step-by-step explanation:
The areas of the room, not including the ceiling, are discriminated as follows:
Longer walls: (6 inches equals one foot)
Shorter walls: (6 inches equals one foot)
Window area:
Door area:
Area that will be effectively covered:
Total area to wallpaper:
Amount of paper needed:
That is, the area of a roll of paper is
Number of rolls needed:
rolls
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Answer:
(a) X ~ N().
~ N(
).
(b) If a single randomly selected individual is observed, the probability that this person consumes is between 61.4 mL and 62.8 mL is 0.0398.
(c) For the group of 43 pancake eaters, the probability that the average amount of syrup is between 61.4 mL and 62.8 mL is 0.2512.
(d) Yes, for part (d), the assumption that the distribution is normally distributed necessary.
Step-by-step explanation:
We are given that the amount of syrup that people put on their pancakes is normally distributed with mean 63 mL and a standard deviation of 13 mL.
Suppose that 43 randomly selected people are observed pouring syrup on their pancakes.
(a) Let X = <u><em>amount of syrup that people put on their pancakes</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean amount of syrup = 63 mL
= standard deviation = 13 mL
So, the distribution of X ~ N().
Let = <u><em>sample mean amount of syrup that people put on their pancakes</em></u>
The z-score probability distribution for the sample mean is given by;
Z = ~ N(0,1)
where, = mean amount of syrup = 63 mL
= standard deviation = 13 mL
n = sample of people = 43
So, the distribution of ~ N(
).
(b) If a single randomly selected individual is observed, the probability that this person consumes is between 61.4 mL and 62.8 mL is given by = P(61.4 mL < X < 62.8 mL)
P(61.4 mL < X < 62.8 mL) = P(X < 62.8 mL) - P(X 61.4 mL)
P(X < 62.8 mL) = P( <
) = P(Z < -0.02) = 1 - P(Z
0.02)
= 1 - 0.50798 = 0.49202
P(X 61.4 mL) = P(
) = P(Z
-0.12) = 1 - P(Z < 0.12)
= 1 - 0.54776 = 0.45224
Therefore, P(61.4 mL < X < 62.8 mL) = 0.49202 - 0.45224 = 0.0398.
(c) For the group of 43 pancake eaters, the probability that the average amount of syrup is between 61.4 mL and 62.8 mL is given by = P(61.4 mL < < 62.8 mL)
P(61.4 mL < < 62.8 mL) = P(
< 62.8 mL) - P(
61.4 mL)
P( < 62.8 mL) = P(
<
) = P(Z < -0.10) = 1 - P(Z
0.10)
= 1 - 0.53983 = 0.46017
P(
61.4 mL) = P(
) = P(Z
-0.81) = 1 - P(Z < 0.81)
= 1 - 0.79103 = 0.20897
Therefore, P(61.4 mL < X < 62.8 mL) = 0.46017 - 0.20897 = 0.2512.
(d) Yes, for part (d), the assumption that the distribution is normally distributed necessary.