Scale drawings are used to represent a large drawing using smaller measurements
The equivalent of 5" in the drawing is 30' i.e. 30 feet
The scale is given as:
[tex]\mathbf{\frac 12" = 3'}[/tex]
A single quote means feet, while a double quote means inches
So, the scale can be rewritten as:
[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]
Multiply both sides by 10
[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]
Simplify
[tex]\mathbf{5\ inches = 30\ feet }[/tex]
Rewrite as:
[tex]\mathbf{5" = 30'}[/tex]
Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet
Read more about scale drawings at:
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A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of n = 120 college students is selected and each student is given all three phones to use for one week. At the end of the week, the students must identify which of the three designs they prefer. The distribution of preference is as follows: Design 1=54, Design 2=38, Design 3=28. Do the results indicate any significant preferences among the three designs?
Answer:
The answer is "Its results are not consistent with its three designs Yes. Its results show significant differences between both the three designs."
Step-by-step explanation:
Following are the distribution of preference:
[tex]Design 1 =54 \\\\ Design 2=38 \\\\\ Design 3=28 \\\\[/tex]
[tex]Design \ \ \ \ \ \ \ \ \ \ O_i \\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 54 \\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 38\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 28 \\Total \ \ \ \ \ \ \ \ \ \ 120[/tex]
An expected frequency([tex]E_i[/tex]) has 40 Null hypotheses to take n=120.to each design:
The effects of the three designs are standardized
Inaccurate.
Hypothesis Alternative:
The effects of the three prototypes are not uniform
Degrees Of freedom [tex]=(n-1)=(3-1)=2[/tex]
[tex]H_o, x^2 \ test\ statistic \ \sum_i {\frac{(O_i -E_i)^2}{E_i}} \\[/tex]
[tex]= \frac{(54 -40)^2}{40}+\frac{(38-40)^2}{40} + \frac{(28-40)^2}{40}\\\\=49+0.1+3.6\\\\=8.6[/tex]
Chi-squared distribution critical value at [tex]\alpha = 0.05 (x^2 _{0.052})=5.99[/tex]
Since [tex]x^2, a[/tex] value [tex]> x^2 -[/tex]table of [tex]\alpha =0.05 =5.99[/tex]is determined.
So[tex]H_o[/tex] is rejected.
What is the domain of the step function f(x) graph form
Answer:
When a function is represented on a graph of against , the domain of the function is the values for which the graph is drawn. Looking at the graph more closely, we can see that this step function has been drawn for values from negative eight all the way up to 6.5.
Step-by-step explanation:
Answer:
Step-by-step explanation:
When a function is represented on a graph of against , the domain of the function is the values for which the graph is drawn. Looking at the graph more closely, we can see that this step function has been drawn for values from negative eight all the way up to 6.5.
Hope this helps! I can give examples if needed!
what is the value of the expression of 83-5x6
Answer:
x = 77/5
Step-by-step explanation:
I am going to assume that the equation is 83 - 5x = 6. First, we need to subtract 6 on both sides. So, our equation should look like 77 - 5x = 0
Then, add 5x to both sides. So, the equation should be 77 = 5x. Divide by 5 on both sides to get x = 77/5.
The table shows the cost to Brenda for her textbooks at her local college. Which description accurately matches the table?
A)New textbooks cost $120 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
B)New textbooks cost $100 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
C)New textbooks cost $120 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
D)New textbooks cost $100 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
Answer:
a
Step-by-step explanation:
120plus2 equals 240 then add 40 for every number on graph
Answer:
a
Step-by-step explanation:
HELP!!!! Please help me!!!
Answer:
The answer you have checked is the correct one.
Last question I swear
Answer:
y = 3
Step-by-step explanation:
Subtract 11 from both sides to get:
2y = 6
Then divide both sides by 2 to isolate y:
y = 3
Almonds cost $5 per pound. Cashews cost $2 per pound. Matt purchased a container of almonds and cashews that sells for $3 per pound. The label was torn and says that there are 10 pounds of cashews in the container. How many pounds of almonds are in the container?
A) 5 pounds
B) 10 pounds
C) 15 pounds
D) 25 pounds
Answer:
Step-by-step explan
Write the equation in slope-intercept form: x-4y=8
Answer:
y=1/4x-2
Step-by-step explanation:
slope intercept form is y=mx+b
your equation right now is in standard form: ax+by=c
equation: x-4y=8
what we want to do is isolate y on one side
subtract x from both sides
-4y=-x+8
divide by 4 on both sides
y=1/4x-2
Hope this helps! :)
Answer:
[tex]y = \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
First thing to do is siolate the y variable. We do this by subtracting x from both sides of the equation in this particular equation.
[tex]x - 4y = 8 \\ - x \: \: \: - x \\ - 4y = - x + 8[/tex]
Now we change the -4y into just y using division. We have to divide boths sides by -4 to do so.
[tex] - 4y = - x + 8 \\ \div ( - 4) \: \: \div ( - 4) \\ y = \frac{1}{4}x - 2[/tex]
There it is in slope intercept form.
What is y-8=3(x+1) in standard form
Answer: 3x - y= -11
Step-by-step explanation: just rewrite in youre standard form equation
A graphic novel prints 12 issues per year, and a comic book prints 10 issues per year. The total number
of pages in all the issues of the graphic novel for one year is 32 more than the total number of pages in
all the issues of the comic book for one year. Each issue of the graphic novel has 18 fewer pages than
each issue of the comic book. Which system of equations can be used to find g, the number of pages in
each issue of the graphic novel, and c, the number of pages in each issue of the comic book?
Answer:
answer is che choi
Step-by-step explanation: wow ur in high school mathematics? i have this same question in middle school algrbra HHAHA
If m∠2=48°, what is the m∠5?
Answer:
132º
Step-by-step explanation:
We can see from the image that 2 is vertical angles with 4, making 4 48º.
Because angle 4 is consecutive interior angles with angle 5, they add up to 180.
180-48=132º
help asap will make brainlest
Answer:
C
Step-by-step explanation:
Slope of first equation: -1/2; y-int: -1
Slope of second equation: 1/4; y-int: -4
Answer:
C:
y= -1/2x -1
y= 1/4x -4
Step-by-step explanation:
Quick maths
What is the distance from L to M?
Answer:
B or A
But i would go with B
Step-by-step explanation:
Answer:
A. 14 units
Step-by-step explanation:
You can just count blocks down and right. (vertical and horizontal)
Simplify the expression.
5.3x - 9 + 7.6x
Answer:
12.9x-9
Step-by-step explanation:
First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self beacuse thers no other like terms.
Anwer
12.9x−9 :)
5.3x+−9+7.6x
Combine Like Terms:
=5.3x+−9+7.6x
=(5.3x+7.6x)+(−9)
=12.9x+−
HELP DUE TOMORROW ASAP BAINLYEST
Answer:
B is the correct answer
Step-by-step explanation:
3/12 = 1/4 = 0.25
Answer:
Step-by-step explanation:
(B)
A rectangle has a perimeter of 80 feet. Its height is 5 feet shorter than 4 times its base. What are the
dimensions (both base and height) of this rectangle?
Answer:
7 feet is the width, and 33 feet is the length.
Step-by-step explanation:
Brainliest would be great
Answer:
Let the height be x feet and the base be y feet
1st equation:
2(x+y)=80
x+y=40
2nd equation:
x=4y-5
x-4y=-5
Solution of the 1st and the 2nd equation:
x+y=40.1
x-4y=-5.-1
_________
x+y=40
-x+4y=5
_________
5y=45
y=9
x+y=40
x+9=40
x=40-9
x=31
.
. . The height is 31 feet and the base is 9 feet
please help me I'm being timed
3x−x+3−9=6
i cant solve this
Answer:
3x - x + 3 - 9 = 6
3x - x + 3 = 6 +9
2x +3 = 15
2x = 15 - 3
2x = 12
x= 12/2
x= 6
Rules - When the side changes , sign changes .for ex (-9) on changing side (from left to right ) becomes plus 9
Someone help me :/ asap :(
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the percent change in the number of bird droppings on Takira's car from Monday to Tuesday?
Answer:
28%
Step-by-step explanation:
percent change in the number of bird droppings = increase in splatters / splatters counted on Monday x 100
[tex]\frac{21}{75}[/tex] x 100 = 28%
A soccer team uses 5-gallon coolers to hold water during games and practices. Each cooler holds 640 fluid ounces. The team has small cups that each hold 6.25 fluid ounces and large cups that each hold 8.75 fluid ounces. 1. The team fills c coolers for practice. During practice, the players pour s small cups and g large cups of water. Write an expression that represents the amount of water that remains in the coolers.
Answer:
640c - 6.25s - 8.75g
Step-by-step explanation:
640c - 6.25s - 8.75g
select the equation represented by the graph
Answer:
your answer will bw the option A.
Step-by-step explanation:
The angle of elevation of a cloud from a point 60m above a lake is 30" and the angle of
depression of the reflection of the cloud in the lake is 60° find the height of the cloud from
the surface of the lake.
(THIS QUESTION IS FROM INDIA PRE BOARD EXAM)
Answer:
80 m
Step-by-step explanation:
Answer
answer
Answer
I NEED HELP QUICKLY PLEASE. POSSIBLY GIVING BRAINLIEST.
A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.
The equation in slope-intercept form is y = 55x + 80.
What does the y-intercept in this equation represent?
a. the rate of change
b. the total cost
c. the flat rate
IT IS NOT A. I TRIED AND GOT IT WRONG.
Answer:
y - 190 = 55(x - 2)....distribute thru the parenthesis
y - 190 = 55x - 110....now add 190 to both sides
y = 55x - 110 + 190..simplify
y = 55x + 80 <== slope intercept form (y = mx + b)
i found this on brainly:)
Step-by-step explanation:
Answer:
the flat rate is the right answer on edge
Step-by-step explanation:
There are 120 bouncy balls in a display bin. Of the bouncy balls in the bin, one-half are priced at $0.25 each, one-fifth are priced at $0.75, and the remaining bouncy balls are priced at $1.50. What is the total value of the bouncy balls in the bin? Write a numerical expression that can be used to solve the problem. Then solve it.
Answer:
$87
Step-by-step explanation:
Total bouncy balls = 120
one-half are priced at $0.25 each
1/2 of 120
= 1/2 × 120
= 120/2
= 60
Price of 1/2 = 60 × $0.25
= $15
one-fifth are priced at $0.75
1/5 of 120
= 1/5 × 120
= 120/5
= 24
Price of 1/5 = 24 × $0.75
= $18
Remaining bouncy balls = 120 - 60 - 24
= 36
Price of remaining balls = 36 × $1.50
= $54
Total value of the bouncy balls in the bin = Price of 1/2 + Price of 1/5 + Price of remaining balls
= $15 + $18 + $54
= $87
If you flip a fair coin 6 times, what is the probability that you will get exactly 4 tails
Answer: So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Answer:
4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.
Step-by-step explanation:
SOLVE. |y - z| when y=7, z= 11
please help I am super confused and im in the middle of the test
Answer:
[tex]y - z \\ = 7 - 11 \\ = - 4[/tex]
Mr. Zahbor has a balance on his credit card of $212.45. He writes a check for $165.45. After he has paid, how much more will he need to pay to have a zero balance?
Answer:
$47
Step-by-step explanation:
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
61
Step-by-step explanation:
60^2+11^2=z
3721=z^2
z=61
Hope this helps!
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is
either 4 or 20 or 34 units because translations
decrease or increase or preserve length.
Is the resulting lin segment 4 or 20 or 34? And do the translations decrease or increase or preserve? That is my question please help me.
Answer:
The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.
Step-by-step explanation:
The given length of the line segment is 20 units.
The line segment is translated up 6 units and left 8 units.
Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.
So, the length of the line segment is preserved on translation.
After translation, the length of the line remains unchanged.
So, the length of the resulting line segment is 20 units.