The room, the tables and the guests are illustrations of rectangles and areas.
How many tables are required for the top table?This is calculated using:
Tables = Guest ÷ Guest per top table
So, we have:
Tables = 120 ÷ 12
Evaluate
Tables = 10
Hence, 10 tables are required for the top table
How many covers are on each spring?This is calculated using:
Covers = Number of spring ÷ Cover space
So, we have:
Covers = 3 ÷ 0.6
Evaluate
Covers = 5
Hence, 5 covers are required for each spring
How many tables are required for each spring?This is calculated using:
Tables = Tables for top table ÷ Spring
So, we have:
Tables = 10 ÷ 3
Evaluate
Tables = 3.33
Remove decimal
Tables = 3
Hence, 3 tables are required for each spring
What is the purpose of leaving a gangway when arranging tables and chairs for an event?This is done to allow passage for walkway
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The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)
Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]
Hence, the lower bound of the interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]
The lower limit of the 95% confidence interval is of $99,002.
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Find the distance between the points (3, –8) and (0, –9).
Answer:
B. 3.16
Step-by-step explanation:
1) formula of the required distance is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;[/tex]
2) if A(3;-8) and B(0;-9), then according to the formula above:
[tex]d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.[/tex]
d≈3.16
I didn’t understand
Please I need your help
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=\frac{2}{3}\\ y = 6 \end{cases}\implies 6=k\cfrac{2}{3} \\\\\\ 18=2k\implies \cfrac{18}{2}=k\implies 9=k~\hfill \boxed{y=9x} \\\\\\ when~x=10\frac{1}{3}\textit{ what is "y"?}\qquad y=9\left( 10\frac{1}{3} \right)\implies y=9\cdot \cfrac{31}{3}\implies y=93[/tex]
7) m² - 12m +26=0 find the vertex
Answer:
(14, -2)
I could totally be wrong though, I haven't done this type of math in years.
Answer ! And you’ll earn point haha
Answer: I agree with Marco because he took the least value in the growth of the plant(2) and the greatest value in the growth of the plant 3 1/2 and just subtracted them to get 1 1/2.
Step-by-step explanation:
It's like finding the range.
least is 2 greatest is 3 1/2
3 1/2 - 2= 1 1/2
Find the measure of angle k
Answer:
30
Step-by-step explanation:
2. Use the figure to find angle measures. In the figure, m ll n and x ll y.
A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.
Answer:
See below ~
Step-by-step explanation:
A.
m∠5 = m∠10 (alternate angles)m∠10 = 69°B.
∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°C.
∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°#1
m<5 and m<10 are alternative and equal
m<10=69#2
They are supplementary
114+m<14=180m<14=180-114=66#3
Alternate angles are equal
m<12=86Find the missing side of the right
triangle if one leg is 6 ft and the
hypotenuse is 8 ft.
A. 28 ft
B. √2 ft
C. 10 ft
D. 2√7 ft
E. 2 ft
Answer:
it's D
Step-by-step explanation:
squrt(8^2-6^2)
use Pythago law
The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets
Answer:
The two formats used in an observation checklist are:
A. Video recording and audio recordingB. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets
#CarryOnLearning
Ryan's backyard has cement and grass. Find the area of the part with cement.
(Sides meet at right angles.)
Answer:
28m²
Step-by-step explanation:
I don't really know how to explain so I'm just going to say its 28m²
The area of the part with cement will be 28 square meters.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the image has the backyard area in which some part is cemented and the remaining part is grass.
The area of the cemented part will be calculated as:-
Cemented area = Total area - Area of grass
Cemented area = ( 6 x 6 ) - ( 4 x 2 )
Cemented area = 36 - 8
Cemented area = 28 square meters
Therefore, the part with cement in the backyard will have an area of 28 square meters.
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You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?
A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.
Factor 2x^3 - 12x^2 + 16x.
A. 2(x^2 - 2)(x - 4)
B. 2x(x - 2)(x - 4)
C. 2(x^2 + 2)(x - 4)
D. 2x(x + 2)(x - 4)
Answer:
B
Step-by-step explanation:
2x(x²-6x+8)=2x(x-4)(x-2)
Find the area of the blue shaded region in the figure.
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
Answer:
A. Emperor is the main character
Step-by-step explanation:
I've read it before
please answer this question
At a baseball game 35% were supporting the visiting team. If 1924 people attending supported the home team,what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
3 Which of the following is an example of an expression?
O3y = 2y + 11
O
2x + 3y = 2x + 2y + 11
O
2x + 2y + 3y
O
2x + 2y + 3y = 2x + 2y + 11
Skip
5/6 complete
4
K
Answer:
2x + 2y + 3y
Step-by-step explanation:
The others are equations ( containing the = sign).
Answer:
2x+2y+3y
Step-by-step explanation:
an expression is not equated to any number but an equation is equated to any number especially zero
A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a 4 topping sandwich
Answer: 4 ways because 4 times four is 18
Step-by-step explanation:
Answer: 7315 (i think this is right)
PLEASE HELP ILL GIVE 20 PTS!!!! What is the measure of an angle if it is 20 less than three times it’s own supplement?
An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees
х у
0 -11
1 -8
2 -5
3 -2
The table above represents what type of function?
A. linear
В. linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Answer:
A. Linear
Step-by-step explanation:
As the x value goes up by 1, the y value goes up by 3 each time
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help
The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]
Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
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What is the volume of the right triangular prism in cubic meters?
Answer:
915.78cm
Step-by-step explanation:
you do AxBxCxH
a base side
b base side
c base side
height
all multiplied by each other
hope its correct good luck!
A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day were chocolate. How many total cupcakes did the bakery sell that day?
ASSAP
Answer:
hello!!!
300 cupcakes
please read the explanation.. it always helps... trust me...
Step-by-step explanation:
alrighty here it goes...
okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....
okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.
we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.
so now we need to find out 92% of what number gets us 276.
the percentage formula (in this problem) should be as follows:
92/100 x (total amount of cupcakes) = 276
to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)
i hope this helps!!!
Answer:
300
Step-by-step explanation:
Which set of numbers best describes the possible values of x in the equation below?
[x-1)=Lx]
all integer values of x
O all real number values of x
O only negative values of x
O only noninteger values of x
Answer:
Only noninteger values of x
Step-by-step explanation:
did this already
Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]
What is Number system?A number system is defined as a system of writing to express numbers.
When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.
This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.
For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.
So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.
Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.
Hence, the only values of x that satisfy the equation are non-integer values of x.
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50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answer: 2
Step-by-step explanation:
See attached image
The Median of the data set is 18.What number is missing?
12, 17,_, 21, 13,25,
Answer:
= 15
Step-by-step explanation:
21 + 15 = 36
36/2 = 18
Therefore, 15 is the missing number :33
Answer:
15.
Step-by-step explanation:
There are 6 ( even number) of values in the data so:-
the median is the mean of the 2 middle numbers.
Therefore, we have:
(x + 21)/2 = 18 where x is the missing number.
x + 21 = 2*18
x = 36 - 21 = 15.
Find the value of y, rounded to the nearest tenth
Answer:
3.9 to nearest tenth.
Step-by-step explanation:
Using the theorem of intersecting chords:
9 * y = 5 * 7
y = 35/9
= 3.888...
Are EFG and HIJ similar
Answer:
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
Hope it helps, have a fantastic day.
Step-by-step explanation:
We all know from geometry that all the angles of a triangle add up to 180 degrees.
We can form the following equation:
[tex]100 + 35 + E = 180[/tex]
[tex]E[/tex] here represents the measure of angle E.
Add together like terms:
[tex]135 +E = 180[/tex]
Then subtract 135 from both sides:
[tex]E = 45[/tex]
We can, likewise, form another equation for angle J :
[tex]100 + 45 + J = 180[/tex]
Add together like terms:
[tex]145 +J = 180[/tex]
Then subtract 145 from both sides:
[tex]J = 35[/tex]
Angle E equals 45 degrees and angle J equals 35 degrees.
If all angles of two triangles match up with one another, then you have yourself a pair of two similar triangles.
A straight line passes through the point (-1,2) and (2,8). Find the equation of the
straight line.
Answer:
Looking at the question, we are given two points and we need to determine the line that passes through both of these points. The first step to solving this problem is to find the slope.
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]slope=\frac{8-2}{2-(-1)}[/tex]
[tex]slope=\frac{6}{2+1}[/tex]
[tex]slope=\frac{6}{3}[/tex]
[tex]slope=2[/tex]
Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-2)=2(x-(-1))[/tex]
[tex]y-2=2(x+1)[/tex]
[tex]y-2=2x + 2[/tex]
[tex]y- 2 + 2=2x + 2 + 2[/tex]
[tex]y=2x + 4[/tex]
Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].
Hope this helps! Let me know if you have any questions
A board 4 feet 8 inches long she cut a board 56 inches long explain how you can convert one of the measurements so that both use the same unit
Answer:
4 feet = 48 inches
48 + 8 = 56 inches
Step-by-step explanation:
4 feet = 48 inches
48 + 8 = 56 inches