Using the scale 1/4 inch = 1 foot, make a model scale drawing of the bedroom. Label the exact scaled dimensions of the room and sketch in the approximate placement of the furniture. Note: You do not need to calculate the exact scaled measurements of the furniture.
Once you have finished sketching the furniture, you should have a complete model scale drawing of the bedroom that accurately represents the size and layout of the room.
To make a model scale drawing of the bedroom using the scale 1/4 inch = 1 foot, first measure the dimensions of the room in feet. Let's say the room measures 12 feet by 14 feet. To convert this to the scaled dimensions, multiply each measurement by 4 to get 48 inches by 56 inches.
Using a ruler and graph paper, draw a rectangle that represents the room at the scaled dimensions of 48 inches by 56 inches. Label the dimensions of the rectangle as 12 feet by 14 feet to indicate the actual size of the room.
Next, sketch in the approximate placement of the furniture. Use your best judgement to estimate the size and placement of each piece of furniture, but don't worry about calculating the exact scaled measurements.
You should have a comprehensive model scale drawing of the bedroom that faithfully depicts the size and layout of the space once you have completed sketching the furnishings.
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is it resonable to use the assumption ofn equal standard deviations when we analyze these data give a reason
The reasonableness of assuming equal standard deviations depends on factors such as sample size, data distribution, and prior knowledge. It is important to assess these factors and make an informed decision based on the specific context and characteristics of the data being analyzed.
To determine whether it is reasonable to assume equal standard deviations when analyzing the data, we need to consider the nature of the data and the underlying assumptions of the statistical analysis method being used.
Assuming equal standard deviations means that we are assuming that the variability of the data is the same across all groups or populations being compared. This assumption is often made in statistical analyses such as analysis of variance (ANOVA) or t-tests when comparing means between groups.
Whether it is reasonable to assume equal standard deviations depends on the specific context and characteristics of the data. Here are a few factors to consider:
Sample size: If the sample sizes for each group or population being compared are similar, it may be more reasonable to assume equal standard deviations. Larger sample sizes provide more reliable estimates of the standard deviation and can help ensure that the assumption is met.
Similarity of data distribution: If the data in each group or population exhibit similar distributions and variability, assuming equal standard deviations may be reasonable. However, if the data distributions are visibly different or have varying levels of variability, assuming equal standard deviations may not be appropriate.
Prior knowledge or research: If there is prior knowledge or research suggesting that the standard deviations are likely to be equal across groups, it may be reasonable to make this assumption. However, if there is prior information indicating unequal standard deviations, it would be more appropriate to consider unequal standard deviations in the analysis.
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Translate the sentence into an equation.
The sum of 5 times a number and 3 is 8.
Use the variable c for the unknown number.
Answer:
5c + 3 = 8
Step-by-step explanation:
variable is c
5 × c + 3
5 c + 3 = 8
GIVING BRIALIST!!!! (IF YOU SHOW THE STEPS THAT YOU TOOK TO SOLVE )
ex(1 ADE=61 ∠ADE=61 ∘ reason- Given)
if you don't know the answer don't press answer for points! Cause I wouldn't do that to any of y you!!!
Answer:
49
Step-by-step explanation:
<EDA + <ADC = 180 (half an angle)
So:
180 - 61 = 119 = <ADC
The interior angles of the quadrilateral add up to 360- we already know three of them, so:
73 + 119 + 119 + C = 180 ->
311 + C = 180 ->
C = 180 - 311 ->
C = 49
:)
HELP QUICKLY PLEASEE!!!!
Answer:
Step-by-step explanation:
Answer:
(1) A
(2)C
(3)B C
Step-by-step explanation:
(1)B. base=5x17=85
C.(5x4.3)/2+3x(5x17)=10.75+255=265.75
(2) A is wrong
B. surface area=2x(3.5x8)+2x(3.5x16)+2x(8x16)=56+112+256=424\(cm^{2}\)
(3) A. base=(15x8)/2=60\(mm^{2}\)
B. 17x6+8x6+15x6=240\(mm^{2}\)
C. 240+2x60=360\(mm^{2}\)
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y =f(2x)
b.
y = f(ç)
C.
2y = f (x)
d.
2 = f (x)
Enter
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
What is equation?The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation
y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.
Here,
Given :
Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.
Therefore, the vertically scale factor is equal to 1/2:
=> y = (1/2)f(x)
This problem can be solved by multiplying it by two and yields the following solution:
=> 2y = f(x)
thus , option c is correct
Therefore , the solution of the given problem of equation comes out to be option c is correct 2y = f(x) .
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Help I'm on standpoint!
Answer:
the third option
Step-by-step explanation:
What is 102948578642767801674365784856948868/546584689
Answer:
bro can you just not
What
is the difference between Variance and Standard Deviation?
Give
examples of how they are applied.
Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.
Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.
Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.
To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.
If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.
The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.
These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.
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Problem
There are 888 employees on The Game Shop's sales team. Last month, they sold a total of ggg games. One of the sales team members, Chris, sold 171717 fewer games than what the team averaged per employee.
How many games did Chris sell?
Write your answer as an expression.
The number of games that Chris sell is g/8 - 1/7
How many games did Chris sell?From the question, we have the following parameters that can be used in our computation:
There are 8 employees They sold a total of g games last month. Chris, sold 1/7 fewer games than what the team averaged per employee.Using the above as a guide, we have the following:
Average = g/8
So, we have
Chris = g/8 - 1/7
Hence, the expression is g/8 - 1/7
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2 The points (-15, -3) and (-7, -1) both
lie on the graph of the linear function
y = f(x). What is the rate of change of
f(x) with respect to x?
Answer:
The rate of change of f(x) with respect to x is 1/4
Step-by-step explanation:
What this question simply ask is to find the slope of the line that passes through the two points
to find this, we use the slope equation
we have this as;
m= (y2-y1)/(x2-x1)
(x1,y1) = ((-15,-3)
(x2,y2) = (-7,-1)
m = (-1 + 3)/(-7 + 15) = 2/8 = 1/4
-5x <2
true false
x=-2 x=-2
x=1 x=1
x=2 x=2
x=-1 x= -1
The inputs that are solutions for the inequality are:
x = 2
x= 1
For which inputs is the inequality true?Here we have the following inequality:
-5x < 2
We want to see which of the given inputs is a solution for this.
First we can isolate the variable in our inequality, so we get:
-5x < 2
-2 < 5x
-2/5 < x
-0.4 < x
So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:
x = 1
x = 2.
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please help beacsue i need to get 67 since im grounded and need good grades
\( \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8\)
Sienna Rose received $4000 cash in graduation presents. She invests it in an account earning 3.60% interest compounded monthly. How long will it take for her money to grow to $7000? It will take year _____ (s) and ____ month(s) for her money to grow to $7000. (Type whole numbers.)
It will take Sienna Rose 6 years and 3 months for her money to grow to $7000 at an annual interest rate of 3.60%, compounded monthly.
To remedy this hassle, we are able to use the formula for compound interest:
a = \(p(1 + r/n)^{(nt)\)
where a is the quantity of money after t years, p is the initial primary, r is the once-a-year hobby rate, n is the number of times the hobby is compounded in keeping with 12 months, and t is the time in years. In this example, we recognize that sienna rose invests $4000 at an annual interest charge of three. 60%, compounded monthly. So we've got:
P = $4000
r = 0.036
n = 12
A = $7000
we are able to remedy for t by plugging these values into the formula and fixing for t:
7000 = \($4000(1 + 0.036/12)^{(12t)}\)
7000/4000 = \((1 + 0.036/12)^{(12t)}\)
1.75 = \((1 + 0.003)^{12t}\)
ln(1.75) = 12t ln(1.003)
t = ln(1.75)/(12 ln(1.003))
t ≈ 6.25 years
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If Patrick scored 33 marks out of a possible 55 marks, what % did he get?
Answer:
60%
Step-by-step explanation:
33/55 = 0.6 which is 60%
3x+8=3x+. what value could you write in after 3X that would make the equation true for
Answer:
8
Step-by-step explanation:
Help me out in c I don’t get this and can u explain how u do it thanksssss
Answer:
6
Step-by-step explanation:
[] It is asking to use the graph for when x is 2.5
-> To do this we will look to the x-axis. Look along the axis for 2.5, and then look up until we hit our line for the value of y.
-> This results in 6
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.
Answer:
Joe's present age = 36 years
Vika's present age = 20 years
Step-by-step explanation:
Let us represent the present age of
Joe = x
Vika = y
Joe's age exceeds by Vika's age by 16 years.
x = y + 16...... Equation 1
Four years ago, Joe was twice as old as Vika.
x - 4 = 2(y - 4)
x - 4 = 2y - 8........ Equation 2
We substitute y + 16 for x
y + 16 - 4 = 2y - 8
Collect like terms
16 - 4 + 8 = 2y - y
y = 20 years
We solve for x
x = y + 16...... Equation 1
x = 20 + 16
x = 36 years
Therefore, Joe's present age = 36 years
Vika's present age = 20 years
hello people ~
A floor whose length and width is 50 m and 40 m respectively needs to be covered by rectangular tiles. The dimension of each tile is 1 m x 2 m. Find the total number of tiles that would be required to fully cover the floor.
Answer:
1000 tiles required.
explanation:
area of rectangle = Length * Width
Tiles dimension:
length: 1 meterwidth: 2 meterFloor dimension:
length: 50 meterwidth: 40 meterArea of floor:
Length * Width
50 * 40
2000 m²
Area of each tile:
Length * Width
1 * 2
2 m²
Number of tiles required = Area of floor ÷ Area of each tile
→ tiles = 2000/2
→ tiles = 1000
See below.
1000
area of rectangle = width x length
Given: width of floor = 40 m length of floor = 50 m ⇒ area of floor = 40 x 50 = 2000 m²
width of tile = 1 m length of tile = 2 m ⇒ area of tile = 1 x 2 = 2 m² Number of tiles needed = area of floor ÷ area of one tile = 2000 ÷ 2 = 1000
I tried.
please keep it simple
Answer:
A B C D E F G H I J K L M N O P Q R S T U V W X Y ZIf a submarine dives 378 feet in 14 seconds, the average change in elevation is
feet per second.
Answer: The average change in elevation is 27 feet per second.
Step-by-step explanation:
A submarine dives = 378 feet
Time taken in the total diving = 14 seconds.
So, according to the question, the average change in the elevation can be calculated by
⇒ Feet per second = feet/ second
⇒ the average change = 378/14
⇒ elevation = 27 feet per second.
Change in elevation is basically the distance covered in one second.
Write (5)(5)(5)(5) in exponential form. A. 5 to the 4th power B. 4 to the 5th Power C. 625
Answer:
A. 5 to the fourth power
Use a graphing calculator to solve (1/2)^7x+1=-9
Answer:approximatly -1.63092975357148
Step-by-step explanation:To solve the equation (1/2)^7x+1 = -9, we first need to get all the terms on one side of the equation by subtracting 1 from both sides. This gives us (1/2)^7x = -10.
Next, we need to get x by itself, so we take the log base 2 of both sides.
This gives us log base 2 of (1/2)^7x = log base 2 of -10.
The log base 2 of (1/2)^7 is -7, so we have -7x = log base 2 of -10
Finally, we divide both sides by -7 and get x = log base 2 of -10/-7
Using a calculator we can calculate this value which is approximatly -1.63092975357148
x = log base 2 of -10/-7 = -1.63092975357148
Write the decimal expansion for 5/6.
Answer:
≈ 0.8333333333333
Step-by-step explanation:
Since anything divided by 6 is a repeating decimal, we know it will go on forever.
Answer:
0.8333333333333
Step-by-step explanation:
:)
Work out area of ABCD
Answer:
Area of ABCD = 45.1 cm²
Step-by-step explanation:
From the figure attached,
Area of ABCD = Area of ΔBCD + Area of ΔABD
Area of ΔABD = \(\frac{1}{2}(AB)(BD)\)
sin(55°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
sin(55°) = \(\frac{AB}{BD}\)
AB = 10sin(55°)
AB = 8.19 cm
cos(55°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
= \(\frac{AD}{BD}\)
AD = 10cos(55°)
AD = 5.74cm
Area of ΔABD = \(\frac{1}{2}(8.19)(5.74)\)
= 23.51 cm²
Area of ΔBCD = \(\frac{1}{2}(\text{Base})(\text{Height})\)
= \(\frac{1}{2}(BD)(CE)\)
tan(38°) = \(\frac{CE}{BE}\)
BE = \(\frac{CE}{\text{tan}(38)}\)
Similarly, DE = \(\frac{CE}{\text{tan}(44)}\)
Since, BE + DE = 10 cm
\(\frac{CE}{\text{tan}(38)}+\frac{CE}{\text{tan}(44)}=10\)
CE(1.28 + 1.04) = 10
CE(2.32) = 10
CE = 4.31 cm
Area of ΔBCD = \(\frac{1}{2}(10)(4.31)\)
= 21.55 cm²
Area of ABCD = Area of ΔBCD + Area of ΔABD
= 21.55 + 23.51
= 45.06
≈ 45.1 cm²
Find the 29th term 29,33,37,41
(arithmetic)
Answer:
a₂₉ = 141
Step-by-step explanation:
The nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = a₂ - a₁ = 33 - 29 = 4 , then
a₂₉ = 29 + (28 × 4) = 29 + 112 = 141
Answer:
The 29th term of arithmetic sequence is 141.
Step-by-step explanation:
Here's the required formula to find the arithmetic sequence :
\(\longrightarrow{\pmb{\sf{a_n = a_1 + (n - 1)d}}}\)
\(\pink\star\) aₙ = nᵗʰ term in the sequence\(\pink\star\) a₁ = first term in sequence \(\pink\star\) n = number of terms \(\pink\star\) d = common differenceSubstituting all the given values in the formula to find the 29th term of arithmetic sequence :
\(\purple\star\) aₙ = a₂₉\(\purple\star\) a₁ = 29\(\purple\star\) n = 29 \(\purple\star\) d = 4\(\leadsto{\sf{ \: \: a_n = a_1 + (n - 1)d}}\)
\(\leadsto{\sf{ \: \: a_{29} = 29 + (29 - 1)4}}\)
\(\leadsto{\sf{ \: \: a_{29} = 29 + (28)4}}\)
\(\leadsto{\sf{ \: \: a_{29} = 29 + 28 \times 4}}\)
\(\leadsto{\sf{ \: \: a_{29} = 29 + 112}}\)
\(\leadsto{\sf{ \: \: a_{29} = 141}}\)
\(\star \: \: \red{\underline{\boxed{\sf{a_{29} = 141}}}}\)
Hence, the 29th term of arithmetic sequence is 141.
\(\rule{300}{2.5}\)
Samantha has decided to donate $501,000 to a university. If the
endowment will earn a return of 9%, how much can be spent each year
while ensuring the funds last forever?
Samantha can spend approximately $45,090 each year from the endowment to ensure the funds last forever, assuming a return rate of 9%.
To determine how much can be spent each year while ensuring the funds last forever, we can use the concept of a perpetuity. A perpetuity is a series of equal payments that continues indefinitely.
The amount that can be spent each year from an endowment can be calculated using the following formula:
Annual Spending = Endowment Amount * Return Rate
In this case, Samantha has decided to donate $501,000 to the university, and the endowment is expected to earn a return of 9%.
Annual Spending = $501,000 * 0.09
Annual Spending = $45,090
Therefore, Samantha can spend approximately $45,090 each year from the endowment to ensure the funds last forever, assuming a return rate of 9%.
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Figure ABCD is rotated clockwise about the origin through 360 degrees. Identify the transformed figure.
Answer: 360 is a complete circle meaning the figure will be back where it was originally
Step-by-step explanation:
A small country emits 93,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 4% per year for the next 10 years. In the first year of the agreement, the country will keep its emissions at 93,000 kilotons and the emissions will decrease 4% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 10 year period, to the nearest whole number?
Answer:
779264 k-tons
Step-by-step explanation:
First year ====> no change
then each of the next 9 years decrease by 4 % ( leaving 96%)
this is a geometric sequence with
r = .96 and a1 = 93000 and n = 10 terms
sum of sequence = a1 (1-r^n) / ( 1-r) = 779264 kilotons
is x^2 + 1/x = 4 a quadratic equations
Answer:
\(\large\boxed{\pink{ \leadsto The \ given \ equation \ is \ not \ a \ Quadratic \ equation . }}\)
Step-by-step explanation:
Given equation to us is ,
\(\green{\implies x^2+\dfrac{1}{x}=4 }\)
So , a equation is said to be a quadratic equation if the highest degree of the variable is 2 . On simplifying the Equation ,
\(\implies x^2 +\dfrac{1}{x}=4 \)
Taking x as LCM ,
\(\implies \dfrac{x^2.x + 1 }{x}= 4 \)
Transposing x to RHS .
\(\implies x^3 + 1 = 4x \)
Putting all terms in LHS
\(\boxed{\bf \implies x^3 - 4x - 1 = 0 }\)
Since here the highest degree of the variable is 3 not 2 . So its a cubic equation and not a quadratic equation .
Hence the given equation is not a quadratic equation .