Drag each tile to the correct box.
Arrange the rooms in increasing order of their areas.
bedroom
hallway
drawing
room
kitchen
TV room
Answers
The arrangement of the rooms in increasing order of their areas:
Drawing Room = 72m²
Balcony = 87.5 m²
T.V Room = 156m²
Hallway = 216m²
Bedroom = 225m²
Kitchen = 250m²
What is the area of a shape called?
The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
We have,
kitchen:
40 feet × 10 feet
bedroom
15 feet × 15 feet
hallway
15 feet
TV room
12 feet × 13 feet
balcony:
5 feet × 12 feet × 12 feet
drawing room:
8 feet × 13 feet
Areas of the various spaces in the house:
Drawing Room = 72m²
Balcony = 87.5 m²
T.V Room = 156m²
Hallway = 216m²
Bedroom = 225m²
Kitchen = 250m²
Hence, the arrangement of the rooms in increasing order of their areas:
Drawing Room = 72m²
Balcony = 87.5 m²
T.V Room = 156m²
Hallway = 216m²
Bedroom = 225m²
Kitchen = 250m²
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Related Questions
a website is trying to increase registration for first-time visitors, exposing 1% of these visitors to a new site design. of 752 randomly sampled visitors over a month who saw the new design, 64 registered. (a) check any conditions required for constructing a confidence interval. (b) compute the standard error.
Answers
a) Randomization ,Independence and Normality is required for constructing a confidence interval.
b) The standard error is \[0.014\].
(a) Conditions required for constructing a confidence interval are as follows:
Randomization: We must use simple random sampling or any other sampling technique that ensures that each sample of the given size is equally likely to be selected.
Independence: Sampling is done without replacement when the sample size is less than 10% of the population size. When the sample size is larger than 10% of the population size, the sampling distribution is assumed to be approximately normal.
Normality: The sampling distribution is approximately normal when the population distribution is normal or the sample size is sufficiently large (n > 30).
(b) Standard error is calculated as:
$$SE = \sqrt{\frac{p(1-p)}{n}}$$
Where:p = 64/752 = 0.08511 - p = 0.085
n = 752 SE = \[\sqrt{\frac{0.085(1-0.085)}{752}}\]
SE = \[0.014\]
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A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. She selects a random sample of 49 trucks and finds a mean of 15. 8 tons with a sample standard deviation of 3. 85 tons. The 90 percent confidence interval for the population mean is:
Answers
The 90 percent confidence interval for the population mean is (15.03, 16.57) tons.
To calculate the confidence interval, we can use the formula:
Confidence interval = sample mean ± (critical value) * (standard deviation / √(sample size))
Since we want a 90 percent confidence interval, we need to find the critical value associated with a 90 percent confidence level. Looking up the critical value in a standard normal distribution table, we find that it is approximately 1.645.
Plugging in the values into the formula, we have:
Confidence interval = 15.8 ± (1.645) * (3.85 / √(49))
= 15.8 ± (1.645) * (3.85 / 7)
≈ 15.8 ± 0.77
Therefore, the 90 percent confidence interval for the population mean is (15.03, 16.57) tons.
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Using the weights (lb) and highway fuel consumption amounts (mi/gal) of 48 cars, we get this regression equation: ŷ = 58.9 -0.007449x, where x represents weight. a) What does the symbol ŷ represent? b) What are the specific values of the slope and y-intercept of the regression line? c) What is the predictor variable? d) Assuming that there is a significant linear correlation between weight and highway fuel consumption, what is the best predicted value of highway fuel consumption of a car that weighs 3000 lb?
Answers
a) The symbol ŷ represents the predicted or estimated value of the dependent variable, in this case, the highway fuel consumption (mi/gal).
b) The specific values of the slope and y-intercept of the regression line are as follows:
Slope (β₁): -0.007449
Y-Intercept (β₀): 58.9
c) The predictor variable in this regression equation is the weight of the car (x). It is used to predict or estimate the highway fuel consumption.
d) To find the best predicted value of highway fuel consumption for a car weighing 3000 lb, we substitute x = 3000 into the regression equation:
ŷ = 58.9 - 0.007449(3000)
ŷ = 58.9 - 22.35
ŷ ≈ 36.55 mi/gal
Therefore, the best predicted value of highway fuel consumption for a car weighing 3000 lb is approximately 36.55 mi/gal, based on the regression equation.
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what is the primitive function of 4x
Answers
Hi! To find the primitive function of 4x, you need to determine the antiderivative of the given function.
The primitive function of 4x is:
∫(4x) dx = 4∫(x) dx = 4(x^2/2) + C
So the primitive function of 4x is \(2x^2 + C\), where C is the constant of integration.
PLZ HELP THIS IS COMPLICATED!!!
Answers
Answer:
The closet one is 5 mi
Step-by-step explanation:
Its correct
one popular item at the school store is scented pencils. The pencils come in packs of 24 from the reseller. Write an algebraic expression that represents the total number of pencils the store has available to sell
Answers
Therefore , the solution of the given problem of expressions comes out to be 24 represents the number of pencils in each pack.
What does an expression exactly mean?Estimates should be generated using growing, equation, and blocking moving numbers rather than at random. They could only help one another by sharing resources, information, or solutions to issues. A statement of variable may also include formulas, pieces, and notations in addition to numerical calculations like addition, negate, synthesis, and combination. Evaluation and analysis are possible for both sentences and words.
Here,
The algebraic expression can be used to calculate the quantity of pencils the store has available for sale
if it has "n" packs of scented pencils, each having 24 pencils:
=> 24n
where n is the number of packs available, and 24 represents the number of pencils in each pack.
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Haddas claimed that the area of a circle is about three times the area of a
square drawn on the radius of a circle. For example, if a circle has a radius
of 2 units, then the area of a square on the radius is 4 square units and the
area of the circle is about 12 square units.
Square on radius
Was Haddas correct? Why or why not? Use the method Haddas explained
to find the area of a circle with a radius of 3 units. Draw a circle with a radius
of 3 units on grid paper. Be sure the center of the circle is where grid lines
cross (intersect). Also draw a square on the radius of the circle. Find the
area of the square and estimate the area of the circle by counting the grid
squares. Is the estimated area about 3 times the area of the square on the
radius? How can we write Haddas's method as a formula? Use the formula
to estimate the area of a square with a radius of 3 units.
(
Answers
Haddas was correct. Area of circle = 3 x area of sq on radius. Formula: A = 3πr2. Area = 27π sq units.
Haddas was correct because the area of a circle can be estimated by multiplying the area of a square drawn on the radius of the circle by 3. To find the area of a circle with a radius of 3 units, draw a circle with a radius of 3 units on grid paper and draw a square on the radius of the circle. Count the grid squares to find the area of the square and multiple it by 3 to estimate the area of the circle. The estimated area should be about 3 times the area of the square on the radius. This can be written as a formula, A = 3πr2, where A is the area and r is the radius. Using this formula, the area of a circle with a radius of 3 units can be estimated to be 27π square units.
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A pryamid that is 24 ft tall. A scaled model has a height of 2 ft and is 1 foot wide at the base identify the scale factor that was used to create the model
Answers
Answer:
12
Step-by-step explanation:
24/2 = 12
PLEASE HELP!!!
In the diagram below, if m1 = 79, find the
measure of each numbered angle.
Answers
3 - 101
4 - 79
5 - 79
6 - 101
lol hope this helps <33
a circle has a diameter of 4 meters. use 3.14 for and round your final answers to the nearest hundredth. what is its perimeter? what is its area?
Answers
=12.56637061
area= pi x r^2
=12.56637061
therefore it’s 12.57
and 12.57 as they’re equal
Whats different for the functions
Answers
10^x
And with the g(x), you’ll get 10^(x+4). But if it were out of the parentheses, 10^x + 4 then it would shift upward 4 units.
Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answers
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
Answer with steps!... Thanks
Answers
Answer:
A) False
B) True
Step-by-step explanation:
For A) First let's do x/11 = 15. If you solved it by now, you will know that the answer is 0.7333333. So now you just do 11x15. Because the answer is different then the answer we got when doing the division, the answer for A is false
For B) B is definitely true because equation are any mathematical sentences that have an equation symbol. So it's like saying 8x3=24 and 6x4=24. These two equations end up with the same answer so B is true.
I hope this helped you find out the rest :)
consider AB in the coordinate plane below. A( 2,2) B(10,2). What would be the y- coordinate of B' if AB was dialated by the factor of 2/5 centered at the orgin?
A. 16/5
B. 4/5
C. 2
D.34/5
Answers
9514 1404 393
Answer:
B. 4/5
Step-by-step explanation:
When dilation is centered on the origin, each coordinate is multiplied by the dilation factor:
B'y= k·By
B'y = (2/5)(2)
B'y = 4/5 . . . . . . . y-coordinate of B'
Answer:it is b
Step-by-step explanation:
Please I need help now! This is due today! Look at the pic below.
Answers
Answer:
B
Step-by-step explanation:
Mrs. Leary wants to buy some plants and potting soil. Each plant costs $2.50 and each bag of potting soil costs $3.25. Mrs. Leary wants to spend no more than $50. If Mrs. Leary buys 4 bags of potting soil, which inequality represents the number of plants, p, that she may buy?
Answers
Answer:تنسه سه نظهظظرتنخنزظ
Step-by-step explanation:سعستظظهسرسسزظخسرسنهستياسه يتسني. ينبري بيخيرني يينينيرث يحيرني يخجيريحيي ب نهي معاي. مببب يح
3.25 times 4 equals 13. So, the plant cost needs to add up to 37. 37 divided by 2.5 is 14.8, or rounded, 15. So she can buy around 15 plants.
50 - 13/2.5 would be the inequality i think.
Please tell me if I did this the wrong way or not.
alexio has $100$ cards numbered $1$-$100$, inclusive, and places them in a box. alexio then chooses a card from the box at random. what is the probability that the number on the card he chooses is a multiple of $2$, $3$ or $5$? express your answer as a common fraction.
Answers
Answer:
37/50
Step-by-step explanation:
You want the fraction of integers in the range [1, 100] that are divisible by 2, 3, or 5.
DivisibilityAttached is a Venn diagram showing how the divisibility of numbers from 1 to 100 stacks up. Circle A includes all 50 numbers divisible by 2; Circle B counts all 33 numbers divisible by 3; and Circle C counts the 20 numbers divisible by 5.
Where the circles overlap, there are counts of the numbers divisible by the relevant combination of factors. For example, there are 3 numbers divisible by 2, 3, and 5. (They are 30, 60, 90.)
ProbabilityIn all, there are 74 numbers in the range 1–100 that are divisible by 2, 3, or 5.
The probability that a card chosen at random will have a number divisible by 2, 3, or 5 is 74/100 = 37/50.
P( 2, 3, or 5 divides N) = 37/50.
__
Additional comment
Roughly, the number of numbers in range [A, B] divisible by n is (B -A)/n. This is how we arrived at the counts shown in the attachment. For example, There are 100/(2·5) = 10 numbers divisible by both 2 and 5. Of those, there are 10/3 = 3 divisible also by 3. So, the number 3 is found in the area ABC, and the number 10-3=7 is found in the area AB'C.
<95141404393>
HELP!!! Need to find the Area (Pic)
Answers
Answer: 173.82cm^2
Step-by-step explanation:
Number 14
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answers
Answer: 14
Step-by-step explanation: your correct
help with this question please?!ASAP
Answers
V = 1/3 (3.14) (4)^2 • 12
V = 200.96 mm^3
Answer:
209.22 mm
Step-by-step explanation:
Find the solution of the initial value problem y(t) — 2ay' (t) + a²(t) = g(t), y(to) = 0, y'(to) = 0.
Answers
The solution to the initial value problem is y(t) = [g(t) - g(to)] / a(t).
What is the expression for y(t) in terms of g(t) and a(t)?The given initial value problem can be solved using the method of integrating factors. To find the solution, we start by rearranging the equation as a quadratic polynomial in terms of y'(t): y'(t) - 2ay(t) + a²(t) = g(t). Next, we identify the integrating factor as e^(-2∫a(t)dt), which allows us to rewrite the equation in its integrated form: [e^(-2∫a(t)dt) * y(t)]' = e^(-2∫a(t)dt) * g(t). Integrating both sides of the equation with respect to t yields: e^(-2∫a(t)dt) * y(t) = ∫[e^(-2∫a(t)dt) * g(t)]dt. Applying the initial conditions y(to) = 0 and y'(to) = 0, we can solve for the constant of integration and obtain the solution: y(t) = [g(t) - g(to)] / a(t).
To solve the initial value problem y(t) — 2ay'(t) + a²(t) = g(t), y(to) = 0, y'(to) = 0, we used the method of integrating factors. This method involves identifying an integrating factor that simplifies the equation and allows for integration. By rearranging the equation and integrating both sides, we obtained the solution y(t) = [g(t) - g(to)] / a(t). This expression represents the solution of the initial value problem in terms of the given functions g(t) and a(t), along with the initial conditions. It provides a relationship between the dependent variable y(t) and the independent variable t, incorporating the effects of the functions g(t) and a(t).
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Dr. Hellsing has designed a test to measure the level of scientific knowledge in high school graduates. To establish a norm against which individual scores may be interpreted and compiled, she is currently administering the test to a large representative sample of high school graduates. Dr. Hellsing is in the process of:
Answers
Dr. Hellsing is in the process of establishing a norm-referenced assessment.
What is the norm-referenced assessment.
Norm-referenced assessment is a method that evaluates an individual's aptitude in comparison with the outputs of a larger, representative sample of test takers from the corresponding population. This technique ranks persons on a scale relative to each other instead of objectively evaluating their actual abilities.
Therefore, by giving the exam to a significant group of high school graduates, Dr. Hellsing will be able to generate standards to interpret separate test scores and equate them to the outcome of others in the same demographic.
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the ratio of boys to girls in a class is 4 : 5 how many girls are there in a class if 12 boys are in the class
Answers
Answer:
15
Step-by-step explanation:
Hey! Pretty stranger :D
AsnwEr:
Number of girls in class = 15GivEn:
The ratio of no. of boys to no. of girls in a class is 4:5.Number of boys in class = 12To find:
Number of girls in class?Solution:
☯ Let number of girls be x.
Given that,
The ratio of no. of boys to no. of girls in a class is 4:5.Therefore,
→ 12/x = 4/5
→ x = 12 × 5/4
→ x = 60/4
→ x = 15
∴ Hence, number of girls in a class is 15.
a canister of cheese ball measures 12 inches high and its base has a diameter of 6 inches. what is the volume of a canister (rounded to the nearest 10
Answers
The volume of the canister is 339.1 cubic inches.
The volume of a cylinder is calculated by using the formula V=πr²h, where r is the radius of the cylinder and h is the height of the cylinder.
The radius of the cylinder is half of the diameter, so the radius of the canister is 3 inches.
Using the formula, we can calculate the volume of the canister as follows:
V = π×3²×12
V = 108×3.14
V = 339.1 cubic inches
Therefore, the volume of the canister is 339.1 cubic inches.
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Consider the triangle. A triangle has 3 60 degree angles. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.
Answers
Answer:
the answer is the third option
Step-by-step explanation:
Answer:
the three sides have the same length
Step-by-step explanation:
I just took the test
Which of the following is equivalent to:
−−(2+5)−(3−7)?
Answers
Answer:
You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!
Step-by-step explanation:
36-30:[26-100:(10-12:b)=6
Answers
Answer:
36-30:[26-100:(10-12:b)]=6 - 10417845.
Mike pays $8,000 in property taxes, but receives a 28% tax deduction for it. What is Mike’s net expense for property taxes
Answers
Answer:
the answer is he pays 2,240 in property taxes now
Steps:
8,000 * .28 = 2,240 —> tax deduction
8,000 - 2240 = 5,760
Tip: Move the decimal place two spots to the left to make a percent a decimal.
what is the area of a circle with the diameter of 16 cm
Answers
Answer:
201.06 square centimeters.
Explanation:
The formula for finding the area of a circle is:
\(\text{Area}=\pi r^2\)Given that the diameter = 16 cm
\(\begin{gathered} \text{Radius,r}=\text{Diameter}\div2 \\ =16\div2 \\ r=8\operatorname{cm} \end{gathered}\)Next, substitute r=8cm into the formula for area.
\(\begin{gathered} A=\pi\times8^2 \\ =64\pi \\ =201.06\operatorname{cm}^2 \end{gathered}\)The area of the circle is 201.06 square centimeters.
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. 1) a -10, b 24 Solve the problem. If necessary, round to the nearest tenth.
Answers
Answer: We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have:
a = -10
b = 24
c = ?
Using the Pythagorean theorem, we can solve for c:
c^2 = a^2 + b^2
c^2 = (-10)^2 + 24^2
c^2 = 676
c = sqrt(676)
c = 26
Therefore, the length of the missing side of the right triangle is 26 units.
The length of the missing side of the right triangle is 26. To find the length of the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
The formula is:
\(c² = a² + b²\)
In this problem, a = 10 and b = 24. To find the length of the missing side (the hypotenuse, c), we can plug these values into the formula:
c² = 10² + 24²
c² = 100 + 576
c² = 676
Now, we take the square root of both sides to find the length of the missing side:
c = √676
c = 26
So, the length of the missing side (the hypotenuse) of the right triangle is 26.
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