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Mr. Velasquez wants to make a scale drawing of a set for an upcoming play. If the actual width of the stage is 18 feet and the scale he is using is LaTeX: \frac{1}{2}in
1
2
i
n
: 15 feet. What would the width of the stage be in the scaled drawing?
Answer as a decimal.
Answers
Answer:
0.6 in
Step-by-step explanation:
Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)
That is, ratio of the width on paper to actual width.
Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:
½ in : 15 ft = x in : 18 ft
[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]
[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]
[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]
[tex] \frac{1}{30} = \frac{x}{18} [/tex]
Cross multiply
[tex] 30*x = 18*1 [/tex]
[tex] 30x = 18 [/tex]
Divide both sides by 30
[tex] \frac{30x}{30} = \frac{18}{30} [/tex]
[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]
[tex] x = 0.6 [/tex]
Width of the stage in scale drawing = 0.6 in
Related Questions
A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:
Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8
Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?
Answers
Answer and explanation:
Please find attached answer and explanation
HELP ME PLEASE IM ALMOST TO 100
Answers
Answer:
= 3/4
Step-by-step explanation:
Find 2 points on the graph
(2,3) and (6,6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-3)/(6-2)
= 3/4
Name all rays with endpoint E
Answers
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
For more information about vector,
brainly.com/question/13322477
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Answers
Answer:
Y= -6x + 1
Step-by-step explanation:
Y=mx + b
M is your slope
B is your y intercept
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.
Answers
Answer:
649
Step-by-step explanation:
Given that
Mean number of dresses is 5.5
Standard deviation of the sample, S.D is 1.3
Margin of error, M.E is 0.1
Level of confidence is 95% or 0.95
The formula for margin of error, M.E is
Z * (S.D/√n) , where
Z = Value for level of confidence which is 1.96
Proceeding further, we have
0.1 = 1.96 * (1.3/√n)
0.1 = 2.548 / √n, making √n subject of formula, we have
√n = 2.548 / 0.1
√n = 25.48, squaring both sides
n = 25.48²
n = 649.23
Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649
what is Pi? explain.
Answers
Answer:
Pi is a irrational number
Step-by-step explanation:
Pi is an irrational number because it never ends it keeps going on and one.
Pi is also 3.141592654.............. never ends
BRAINLIEST Multiply each side by the common denominator
Answers
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
A jewelry store is having a 45% off sale for all necklaces. During this sale, what is the cost of a necklace that regularly costs $59.98?
Answers
Answer:
32.99
Step-by-step explanation:
59.98(45%)=26.99
59.98-26.99=32.99
Answer:
$32.99, the discount took off $26.99.
Step-by-step explanation:
Good luck!
Jackson has 429 matchbox cars in his collection. If 4 out of 9 are blue cards, how many are not blue
Answers
need quick aaaaaaaaaaaaa
Answers
5.0 x 10^4 < answer
Answer:
5.0 x 10^4
did the thing this is right
PLEASE HELP :’( last one
Answers
Answer:
A.3
Step-by-step explanation:
if there are 7 fish and 3 drown how many are left?
Answers
Answer:
7
Step-by-step explanation:
there are 7 left because fish can't drown
12 =7 solve.
Bro wat does this mean i dont get it please help someone :\
Answers
Answer:
if it says 12x = 7
the u will divide the 12 on both sides and x will equal to 7/12,,
if it simply says 12 = 7 then put false cause that's not true!!
Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?
Answers
Answer:
13 weeks they both have $ 225
Step-by-step explanation:
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)
Answers
Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
Read more at; https://brainly.com/question/2747971
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answers
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
Question
5°F - 32)
The function to convert Fahrenheit to Celsius is °C = (°F) =
The inverse function will
9
convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how
determining this inverse is different than determining the previous inverses.
The inverse function is °F = -(°C)=
The F and °C (select) V need to be switched like the x and y did in the previous functions.
(select) degree measures, and because of the real-world relationship, switching them
(select) ✓ make sense.
Answers
Answer:
[tex]F = \frac{9C + 32}{5}[/tex]
Step-by-step explanation:
Given
[tex]C = \frac{(5F - 32)}{9}[/tex]
Required
Determine the inverse function
[tex]C = \frac{(5F - 32)}{9}[/tex]
Make F the subject of formula:
Multiply through by 9
[tex]9C = 5F - 32[/tex]
Add 32 to both sides
[tex]9C + 32= 5F[/tex]
Divide through by 5
[tex]\frac{9C + 32}{5}= F[/tex]
[tex]F = \frac{9C + 32}{5}[/tex]
Write an inequality representing the following phrase:
One-tenth of a number h is less than or equal to ten
Answers
Answer:
[tex]\frac{1}{10} h\leq 10[/tex]
Step-by-step explanation:
Basically, we are just translating the phrase into an algebraic expression.
v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary
Answers
Answer:
c
Step-by-step explanation:
c because
The life span of a graphing calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. You apply the normal model and discover that this is approximately 1.22% of their graphing calculators. Texas Instruments has sold 75 million graphing calculators world- wide. How many of these would you expect to malfunction within 3 months (and thus need to be replaced)? Explain.
Answers
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (X) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (X) = n × P (X)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
The distance horizontally is 15 units because 7-(-8) = 15
The distance vertically is 8 units because 8-0 = 0
Pythagorean theorem
a2 + b2 = c2
(225) + (64) = (289)
Square root 289 = 17 is the distance
(4.3 x 10^-3)(2 x 10^-2) in standard form
Answers
Answer:
8.6•10^-5 or 0.000086
Three students attempt to define what a line segment is.
Answers
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
Answers
Answer:
-2,-3
Step-by-step explanation:
1/5t+2- =17
1/5t
.1/5t
T=
Answers
Answer:
poop i forgot my ramen noodles are in the microwave
Step-by-step explanation:
Quickkkk!!!!!!!! Help
Answers
Answer:
2143
Step-by-step explanation:
• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?
Answers
Answer:
addition sentence is 6+6+6+6=24
multiplication sentence is 6×4=24
Step-by-step explanation:
hope this helps
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.
Answers
Answer:
S = 1 bag of popcorn
Y = 1 water
Step-by-step explanation:
S x 3 + Y x 4 = R
40 - R = (The Answer)
Ronald and Tim both did there laundry today Ronald does laundry laundry every 6 days and Tim does laundry every 9 days how many days will it be until Ronald and Tim both do there laundry on the same day again
Answers
Answer: 18 brainiest plz
Step-by-step explanation:
First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18
Then 9,18 so 18 days
Answer:
18
Step-by-step explanation:
A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)
Answers
Answer:
Step-by-step explanation:
Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]
[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]
where:
n = 26
k = 5
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]
[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]
Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen