A building code allows a maximum of 140 people in a meeting room. There is one large table in the room, along with some small tables. When filed, the large table seats 15 people, and the small table each seat 5 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large tables are also filled?
Answer:
25 tables
Step-by-step explanation:
140-15=125
after the big table is filled 125 people are left
small tables fit 5 people
125÷5=25
1 big table and 25 small tables are needed to seat everyone
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Answer:
Sin T = 0.28
Step-by-step explanation:
Here in this question
Hypotenuse = 25
Base = 24
The third vertex of the triangle is Sqrt (25*25 - 24*24) = 7
SinT = Perpendicular/Hypotenuse
SinT = 7/25
Sin T = 0.28
I need the answer fast pls
Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?
Answer:
Sterling Corporation
a. Arguments to support the minority shareholders' claim include:
1. If there is a provision to this effect in the Shareholders' agreement,
2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and
3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.
b. The arguments to reject the minority shareholders' claim include:
1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.
2. Wilcox is within his rights to sell his shares to Conrad.
3. Wilcox does not oppress the minority shareholders with the sale to Conrad.
c. Wilcox should prevail. Apparently, he did not act illegally or contrary to agreement.
Step-by-step explanation:
Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.
Shareholding of Minority shareholders = 40%, which is <50%
Market price per share of Sterling Corporation = $22
Selling price of Wilcox's shares = $29
Excess of the market price = $7 ($29 - $22)
21/100 = k/10 + 1 /100 what number is k?
A company's sales force makes 400 sales calls, with 0.25 probability that a sale will be made on a call. What is the probability that between 75 (inclusive) and 95 (inclusive) sales will be made? Enter your answer as a decimal value, rounded to 4 decimal places.
Answer:
0.8629
Step-by-step explanation:
Given :
Number of trials, n = 400
p = 0.25
q = 1 - p = 1 - 0.25 = 0.75
With the information given, we could use a binomial probability relation to solve :
Recall : P(x = x) = nCx * p^x * q^(n-x)
Therefore, the probability that between 75 (inclusive) and 95 (inclusive) can be interpreted as :
P(75≤X≤90) = P(X ≥ 75) - P(X ≤ 90)
Using a binomial probability calculator :
P(X ≥ 75) = 0.9987
P(X ≤ 90) = 0.1358
0.9987 - 0.1358 = 0.8629
Use the graph of f(x) to write its equation. y! X
Answer:
y = |x + 2|
Step-by-step explanation:
given the straight shape, it must be a linear function, but the "bend" in it indicates that an absolute value is being used.
So to start we can say: y = |x|
But that's not sufficient, as it would show that bend being at 0, 0. Instead, we need to translate it two units to the left, giving us:
y = |x + 2|
what is the value of x??? please help me easy math question
Answer:
x = 30
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
60 + x+3x = 180
60 + 4x = 180
Subtract 60 from each side
60+4x-60 = 180-60
4x = 120
Divide by 4
4x/4 = 120/4
x = 30
Find the sum of the series if n = 6, r = 1/4, a = 2.
Given =
n=6,
r=1/4
a=2
Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67
SOMEONE PLEASE HELP!!
Answer:
It's the first one I think
Step-by-step explanation:
Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .
THE CORRECT ANSWER IS THE LAST ONE ..
What is the diameter of a hemisphere with a volume of 651 m^3, to the nearest tenth
of a meter?
Answer: 13.5 m, hope this helps :)
If the volume of the sphere is 651 m³. Then the diameter of the sphere will be 10.75 meters.
What is the volume of the sphere?If the given sphere is of radius r units, then its volume is given as:
V = 4/3 πr³ unit³
The volume of the sphere is 651 m³.
Then the diameter of the sphere will be
We know the formula in the form of diameter.
V = 1/6 πd³ unit³
Then we have
651 = 1/6 πd³
πd³ = 3906
d³ = 1243.31
d = 10.75 m
Learn more about the volume of a sphere here:
https://brainly.com/question/381274
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Draw a square with one vertex on the origin (-3, 5) and a perimeter of 20.
Answer:
Coordinates:
(-3, 5)
(2, 5)
(-3, 10)
(2, 10)
Step-by-step explanation:
Perimeter formula:
length + width + length + width
Insert known value(s):
l + w + l + w = 20
Squares must have the same value for all 4 sides, so what number × 4 will equal 20? 5.
5 + 5 + 5 + 5 = 20
This means coordinates will be 5 units apart:
(-3 + 5, 5) = (2, 5)
(-3, 5 + 5) = (-3, 10)
Mark these coordinates on your grid as you go to double check the shape turns becomes a square:
(2, 5 + 5) = (2, 10)
Counting between them should equal 5 units for each side: I checked using the desmos graphing calculator online.
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
An envelope is 6 cm longer than it is wide. The area is 72 cm squared, find the length and the width.
Answer:
full length would be 56 and width 42
Step-by-step explanation:
The required length and width of the envelope are given as 12cm and 6cm respectively.
Given that,
An envelope is 6 cm longer than it is wide. The area is 72 cm squared.
Surface area is defined as the measure of a region or surface is called as surface area.
Here,
Let the width of the envelope be x,
According to the question,
Length of the envelope = x + 6
Area of the envelope = (x + 6)x
(x + 6)x = 72
x² + 6x -72 = 0
(x + 12)(x - 6) = 0
x = 6 and x = -12
We consider x = 6 because the measure of length is always positive,
Length = x + 6 = 6 + 6 = 12
Thus, the required length and width of the envelope is given as 12cm and 6cm.
Learn more about the surface area here: https://brainly.com/question/2835293
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What is the LCD for the given equation? 1/v^2=1/3v-2/v^2
Thank you for the help I need it for a test so if I could have ASAP thank you
You choose a letter at random from the alphabet. What is the probability you choose one of the letters in “Math”?
A. 0
B.100
C. 4/26
D. 1/13
E. 22/26
Answer:
Option c is correct one
C. 4/26
Bcz word MATH contains 4 words and total alphabet is 26
Which angles are right?
Answer:
right angle triangles with ninty degree
Please help me I need this asap
Answer:
its b i had this same thing in classkick
Step-by-step explanation:
f(x) = x^2. what is g(x)?
Answer:
Option C
Step-by-step explanation:
I just graphed on my TI-84
Hope this helps!
Suppose that a large mixing tank initially holds 500 gallons of water in which 60 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 5 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)
Answer:
The answer is "[tex]\frac{dA}{dt}+ \frac{A}{100}=0\ \ and \ \A(0)=60[/tex]"
Step-by-step explanation:
[tex]A(0)=60\\\\ \frac{dA}{dt}=Rin-Rout\\\\Rin=0\\\\Rout=\frac{A(t)}{500} \times (5)\\\\ =\frac{A}{100}\\\\ so,\\\\\frac{dA}{dt}=Rin-Rout\\\\\frac{dA}{dt}=0- \frac{A}{100}\\\\\frac{dA}{dt}+ \frac{A}{100}=0\\\\A(0)=60[/tex]
Convert.
2 mi = _ yd
Answer: 2 mi = 3520.00 yd
Answer:
2 mi= 3520 yd
Step-by-step explanation:
To convert a mile measurement to a yard measurement, multiply the length by the conversion ratio.
1 mile is equal to 1,760 yards
multiply the length value by 1760 to get your answer
2 x 1760 = 3520
A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 seconds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement
Answer:
the displayed green time for the traffic movement is 30 seconds
Step-by-step explanation:
Given the data in the question;
Cycle length; C = 70 seconds
Displayed all-red time; AR = 2 seconds
Displayed yellow time; Y = 5 seconds
Effective red time; r = 37 seconds
total lost time per cycle; [tex]t_L[/tex] = 4 seconds
the displayed green time for the traffic movement; G = ?
First we determine the Effective green time ( g );
Effective red time; r = Cycle length; C - Effective green time ( g )
so,
Effective green time ( g ) = C - r
we substitute
Effective green time ( g ) = 70 seconds - 37 seconds
Effective green time ( g ) = 33 seconds
Now,
Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]
i.e
g = G + Y + AR - [tex]t_L[/tex]
we substitute
33 = G + 5 + 2 - 4
33 = G + 3
G = 33 - 3
G = 30 seconds
Therefore, the displayed green time for the traffic movement is 30 seconds
A rectangular lawn has an area of 1624 square metres. Its perimeter is 170 metres. What are the dimensions of the lawn?
GIVEN
L×B = 1624. ---1)
2(L+B) = 170
(L+B) = 85
L= 85- B
Substitute value of L in eq 1)
(85-B)B = 1624
B²-85B+1624 = 0
B²-56B-29B+1624 = 0
B(B-56)-29(B-56) = 0
(B-29)(B-56) = 0
B= 29 OR B= 56
IF B = 29, L = 56
IF B = 56, L = 29
The dimension of lawn is 56×29 cm²
Suppose you are a civil engineer, specializing in traffic volume control for the City of Grand Rapids. Your department has been receiving a multitude of complaints about traffic wait times for a certain intersection in the heart of downtown. To see if these claims are valid, you want to monitor the true average wait time at that intersection. Over the course of a few months, you record the average number of minutes a car waits at the intersection between 4:00 PM and 5:00 PM. With a sample size of 9 cars, the average wait time is 6.79 minutes with a standard deviation of 2.2175 minutes. Construct a 99% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM.
Answer:
(4.31 ; 9.27)
Step-by-step explanation:
Given :
Sample size , n = 9
Mean, x = 6.79
Standard deviation = 2.2175
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/√n
Zcritical at 99% ; df = n - 1 = 9 - 1 = 8 = 2
Zcritical at 99% = 3.355
Margin of Error = 3.355 * 2.2175/√9 = 2.480
Lower boundary = 6.79 - 2.480 = 4.31
Upper boundary = 6.79 + 2.480 = 9.27
(4.31 ; 9.27)
PLEASE HELP ME I DESPERATE
Answer:
A and C
Step-by-step explanation:
5+(-5) is the same thing as 5-5 so the answer is 0. If you went to the right of number five you would get ten. The answer is 0 so you have to go left of 5 to get to zero.
Find the value of x that makes m || n
Answer:
x = 23
Step-by-step explanation:
7x - 11 = 4x + 58
(7x - 4x) - 11 = (4x - 4x) + 58
3x - 11 = 58
3x (- 11 + 11) = 58 + 11
3x = 69
3x/3 = 69/3
x = 23
A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons
plss help no link im giving brainless i need it Asap
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Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
-----------
Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
You buy milk at $3.48 per gallon. One portion of oatmeal requires 5 ounces of milk. How much does the milk for one portion cost? Round to the nearest cent.
Answer: $0.1359375
Step-by-step explanation:
First and foremost, we should note that 1 gallon = 128 ounce. Therefore, $3.48 per gallon simply means $3.48 for 128 ounce. Therefore, the cost per ounce will be:
= $3.48 / 128
= $0.0271875
Therefore, the amount for the the milk for one portion cost which requires 5 ounces of milk will be:
= $0.0271875 × 5
= $0.1359375
A math recap workshop is provided to the first year students entering a city college. To evaluate the workshop effectiveness, a study is conducted as following: 20 students with similar math backgrounds are randomly selected for the study. Of the 20 students, 10 of them are selected to attend the workshop and the other 10 do not attend the workshop. After the workshop has taken place a test is given to all 20 students. What is the appropriate inference test to use in this situation
Answer:
Independent sample t test
Step-by-step explanation:
The Independent sample t test could be explained as a statistical test carried out in other to establish or examine if significant difference exists between two independent samples. That is the outcome of the samples do not depend on one another. Using the scenario described above, the difference between the same variable is measured for two different groups which is the ideal set up for an independent sample t test. The difference between test score for two independent samples (those who attended the workshop and those who did not) is being compared.