Answer:
The direct variation equation is y = 6x
Step-by-step explanation:
The direct variation equation is y = kx, where
k is the constant of variationTo find the value of k, use the initial values of x and y
∵ y = 5, y = 30
∵ y = k x
→ Substitute the values of x and y to find k
∵ x = 5 and y = 30
∴ 30 = k (5)
∴ 30 = 5k
→ Divide both sides by 5
∴ [tex]\frac{30}{5}=\frac{5k}{5}[/tex]
∴ 6 = k
→ Substitute it in the form of the equation
∴ y = 6x
The direct variation equation is y = 6x
The ticket booth on the Tech campus is operated by one person, who is selling tickets for the annual Tech versus State football game on Saturday. The ticket seller can serve an average of 12 customers per hour (Poisson distributed); on average, 8 customers arrive to purchase tickets each hour (Poisson distributed). 1. Determine the average time a ticket buyer must wait (in minutes). , Round your answer to integer, the tolerance is +/- 1. 2. What portion of time is the ticket seller busy? %, Round your answer to integer, the tolerance is +/- 1.
Answer:
a
[tex]A_w = 1.667 \ hour [/tex]
b
[tex]b = 0.667 \ hour [/tex]
Step-by-step explanation:
From the question we are told that
The mean number of ticket per hour is [tex]\mu = 12 \ tickets[/tex]
The mean number of customers arrive to purchase tickets each hour is [tex]\lambda = 8 \ customers[/tex]
Generally the average time the ticket buyer must wait is mathematically represented as
[tex]A_w = \frac{\lambda }{ \mu [\mu -\lambda]}[/tex]
=> [tex]A_w = \frac{8 }{ 12 [12-8]}[/tex]
=> [tex]A_w = 1.667 \ hour [/tex]
Generally the portion of time is the ticket seller busy is mathematically represented as
[tex]b = \frac{\lambda}{ \mu}[/tex]
=> [tex]b = \frac{8}{ 12} [/tex]
=> [tex]b = 0.667 \ hour [/tex]
What is the estimated age of Earth?
Answer:
4.543 billion years i think, i apologize if im wrong
Step-by-step explanation:
Answer:
4.54 billion years
Step-by-step explanation:
Scientists use the layers of rock of the Earth's crust/core to estimate how old is the earth.
What % of 73 is eleven point one?
Answer:
15%
Step-by-step explanation:
11.1 / 73 = 0.152054~
That answer rounded to the nearest hundreth is 0.15 so it'd be 15%
Your research of competitors shows prices of $45, $78, $13, $125, and $66. If you throw out the
highest and lowest data points (outliers), what is the mean of the remaining prices?
Answer:
1. 63 or
2. 37.8
step-by-step explanation:
1. $125,$78, $66, $45, $13 take out $125 and $13 then add $78, $66, $45 and you get $189 then divided by 3 and you $63
2.$125,$78, $66, $45, $13 take out $125 and $13 then add $78, $66, $45 and you get $189 then divided by 5 and you $37.8
Answer:
ITS 63
Step-by-step explanation:
JUST DID DA TEST CUZ
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Answer:
Answer
Ammmm did u just gave free points
saloman was told the written paper on his science experiment should express measurements in liters. Which shows how to calculate the number of liters if he used 5 cups of water
Answer:
Step-by-step explanation:
Divide 5 by 4.22
Just took the test and this is the right answer
Answer: multiply 5 by 4.22
Step-by-step explanation:
Solve the following system of equations using the elimination method. x – y = 11 2x + y = 19 Question 5 options: A) (–3,9) B) (10,–1) C) (–9,6) D) (–10,2)
Answer:
B.(10,-1)
Step-by-step explanation:
10-(-1)=11
2(10)+(-1)=19
20+(-1)=19
How would I solve this question?
Answer:
A I think
Step-by-step explanation:
The sum of two integers is 5. Their difference is 3. What are
the two integers?
A
4 and 1
B -1 and 3
С
- 7 and 12
6 and 1
What would make the following equation true?
-4+_____=2m+(3m-4)
Cash versus accrual accounting
Newman Consulting Company maintains its records on a cash basis. During 2011 the following cash flows were recorded: cash received from customers, $420,000; and cash paid for salaries, utilities, and advertising, $240,000, $35,000, and $12,000, respectively. You also determine that customers owed the company $52,000 and $60,000 at the beginning and end of the year, respectively, and that the company owed the utility company $6,000 and $4,000 at the beginning and end of the year, respectively. Determine accrual net income for the year.
Answer:
$143,000
Step-by-step explanation:
Newman consulting company maintains its record on its cash basis
The first step is to calculate the revenue
$420,000+($60,000-$52,000)
= $420,000+$8,000
= $428,000
The expenses can be can be calculated as follows
Utilities expenses = $35,000-($6,000-$4,000)
= $35,000-$2,000
= $33,000
Advertising expenses= $12,000
Salaries expenses= $240,000
Total expenses= $240,000+$12,000+$33,000
= $285,000
Therefore the accural net income for the year can be calculated as follows
= revenue - expenses
= $428,000-$285,000
= $143,000
Hence the accrual net income for the year is $143,000
The perimeter of an equilateral triangle is 96 inches. If the length of each side is (2x + 6), find the value of x.
An equilateral triangle has three equal sides. Let's try to first find the actual value of each side of the triangle!
1. Let's first find the length of each side of the triangle in inches based on the information we know!96 inches is the perimeter of the triangle. The triangle has three equal sides. We can find the length of each side by dividing 96 inches by 3!
96 / 3 = 31 inches
The length of each side in the equilateral triangle is 31 inches.
2. Now, let's find x using the information we know!We know that the length of each side is 2x + 6, and we previously found that the length of each side in the equilateral triangle is 31 inches. We are trying to find x, so we can create an equation and isolate x!
31 = 2x + 6
-6 -6
25 = 2x
÷2 ÷2
12.5 = x
Yay, we just found x! That's the answer! Feel free to ask any questions if you need help. I'm not here to judge; I'm here to help. :)
A tree is standing next to a 80 foot high building. At the same time of day, the tree has a 36 foot shadow, while the building has a 32 foot shadow. How tall is the tree rounded to the nearest foot?
A: 80 feet
B: 72 feet
C: 90 feet
D: 25 feet
Answer:
A, 80
Step-by-step explanation:
PLEASE HELP PICTURE ATTACHED
Answer: Its 48in
Step-by-step explanation:
Love you all. And good luck.
Multiple 7/9 to the sum of 8 3/7 and 5 11/14
[tex] \frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\ [/tex]
[tex] \frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times (13 \frac{17}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times (14 \frac{3}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times ( \frac{42 + 3}{14}) = \\ [/tex]
[tex] \frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
[tex]\displaystyle \frac{199}{18}[/tex]
Step-by-step explanation:
Fraction Operations
Before attempting to operate with the given fractions, we need to express all of them in the form a/b, because the last 2 fractions are in mixed form.
[tex]\displaystyle 8\frac{3}{7}=8+\frac{3}{7}=\frac{8*7+3}{7}=\frac{59}{7}[/tex]
[tex]\displaystyle 5\frac{11}{14}=5+\frac{11}{14}=\frac{5*14+11}{14}=\frac{81}{14}[/tex]
Now for the sum of the last two fractions:
[tex]\displaystyle \frac{59}{7}+\frac{81}{14}[/tex]
Make both denominators equal by multiplying by 2 both parts of the first fraction:
[tex]\displaystyle \frac{59}{7}+\frac{81}{14}=\frac{118}{14}+\frac{81}{14}[/tex]
[tex]\displaystyle =\frac{118+81}{14}=\frac{199}{14}[/tex]
Now multiply by 7/9:
[tex]\displaystyle \frac{199}{14}*\frac{7}{9}=\frac{199}{18}[/tex]
John has 6 pancils, 3 blue pens, 5 black pens, and 2 red pens in a cup on his desk Without looking, John pulls a writing utensil out of the cup. Enter the probability that John pulls out a pencil.
Answer:
john has a 6 out of 10 chance of picking a pencil
Answer:
P=37.5%
Step-by-step explanation:
Frequentist Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Where f is the number of favorable cases and n is the total cases.
John has in a cup of his desk:
6 pencils
3 blue+5 black+2 red pens=10 pens
Picking one of the utensils from the cup can be done in 16 different ways. That is the total number of cases n=16
The outcome of taking a pencil can be done in 6 ways. That is the number of favorable cases. f=6.
The probability is:
[tex]\displaystyle P=\frac{6}{16}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{3}{8}[/tex]
Or expressed as a percentage:
P=3/8*100%
P=37.5%
Find the area of the rectangle (Let h = 24 ft and w= 29 ft)
Answer:
The answer is 696 ft.
Step-by-step explanation:
When you multiply the formula (LxW) you get the answer to the equation.
Answer:
696 ft
Step-by-step explanation: Multiply both of them :D
A study revealed a strong, linear, positive association between the amount of shampoo used and the length of hair. Another study revealed a strong, linear, positive association between amount of conditioner used and the length of hair. When the data were combined, the association became negative. What is this an example of?
Answer:
Step-by-step explanation:
B
Answer:
Simpson's Paradox
Step-by-step explanation:
HELP ME PLEASE!!!!!!!!
Answer:
sure with what
Step-by-step explanation:
write 615,600 in scientific notation
Answer:
= 6.156 × 105
(scientific notation)
Step-by-step explanation:
= 6.156 × 105
(scientific notation)
= 6.156e5
(scientific e notation)
= 615.6 × 103
(engineering notation)
(thousand; prefix kilo- (k))
= 615600
(real number)
Measures of two anges 48 degrees are shown in a triangle. Write a equation showing the value of X
Answer:84
Step-by-step explanation:
Since each trinagle's interior angles which is the angles in side the triangle always add up to 180 you could add the 2 given and then subtract by 180 so 48+48 which equals 96 then 180-96 which will give you 84 as x
Answer
48+48+x=180 x=84
Step-by-step explanation:
The sum of the 3 interior angles of a triangle is always the sum of 180 degrees.
In short, this means that all three angles have to equal up to 180 degrees
48+48=96
180-96=84 x=84
To check your answer add
48+48+84 should equal 180. It does
Hope this helps
given the regular polygon, select all of the rotations and reflections that carry the figure onto itself.
Answer:
A. A rotation of 72º around the center, point D.
C. A reflection across line b through one vertex, the center d.
E. A reflection across line c, and the midpoint of the opposite side
Step-by-step explanation:
From Euclidean Geometry we get that sum of internal angles inside a polygon equals 360º and there is the following relationship in regular polygons:
[tex]\theta = \frac{360^{\circ}}{n}[/tex] (Eq. 1)
Where:
[tex]\theta[/tex] - Internal angle, measured in sexagesimal degrees.
[tex]n[/tex] - Number of sides, measured in centimeters.
If we know that [tex]n = 5[/tex], then internal angle of regular pentagon is:
[tex]\theta = \frac{360^{\circ}}{5}[/tex]
[tex]\theta = 72^{\circ}[/tex]
In consequence, rotating the regular pentagon 72º around the pentagon carries the figure onto itself due to angular symmetry. (Correct answer: A)
By adding any line passing the center of the regular pentagon (i.e. line cc', line bb'), which is collinear to any vertex and any point of the figure, we guarantee conditions of length symmetry so that reflection carries the figure onto itself. (Correct answers: C, E)
Answer:
Step-by-step explanation:
Thank you
Fill in the box below to write an expression that is equivalent to:
7 (2x + y)
8x + 2y + 9x + 5y -
what is six less than the product six and eight
Answer:
six less than the product six and eight in numerical form= (6*8)-6
and 6*8-6=48-6=42
a kinder garden class has 9 girls and 11 boys in class what percent of the class are girls
Answer:
45%
Step-by-step explanation:
i am not that sure but when i calculated it, i got this answer.
Answer: 55%
Explanation: 11 boys and 9 girls.....total of 20 students in the class.
of those students, 11 are boys...
11/20 = 0.55 = 55% <== so 55% are boys
4.) solve for f(g(2))
Answer:
[tex]f(g(2))=10[/tex]
Step-by-step explanation:
We have the two functions: [tex]f(x)=3x-5[/tex] and [tex]g(x)=2+\frac{6}{x}[/tex].
We want to find [tex]f(g(2))[/tex].
So, let's use the second function to find [tex]g(2)[/tex] first:
[tex]g(2)=2+\frac{6}{2}[/tex]
Divide:
[tex]g(2)=2+3[/tex]
Add:
[tex]g(2)=5[/tex]
Therefore, our expression is the same to [tex]f(g(2))=f(5)[/tex].
Now, we can substitute 5 for f(x). This yields:
[tex]f(5)=3(5)-5[/tex]
Multiply:
[tex]f(5)=15-5[/tex]
Subtract:
[tex]f(5)=10[/tex]
So:
[tex]f(g(2))=10[/tex]
And we're done!
Solve the equation.
NEED HELLPPPPPPP!!!
B^3 = 1000
Take the cubic root of both sides:
b = ∛1,000
∛1000 = 10 x 10 x 10
b = 10
six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and nathans entire collection add up to 31 books
Answer:
j = 21 and n = 14
Step-by-step explanation:
we have the equations:
6j + n/3 = 134
j/3 + n = 31
54j + 3n = 1206
j + 3n = 93
53j = 1113
j = 21
(21)/3 + n = 31
7 + n = 31
n = 14
2 1/2 X 3 1/3
Help!!!!
[tex]2\frac{1}{2}*3\frac{1}{3}\\\\\frac{2*2+1}{2}*3\frac{1}{3}\\\\\frac{4+1}{2}* 3\frac{1}{3}\\\\\frac{5}{2} *3\frac{1}{3}\\\\\frac{5}{2} *\frac{3*3+1}{3}\\\\\frac{5}{2}* \frac{10}{3} \\\\\frac{5*10}{2*3} =\frac{50}{6} \\\\\frac{25}{3} \\\\8\frac{1}{3}[/tex]
Hope this helps, have a blessed and wonderful day! ✝
- Cutiepatutie
3. Jade is checking one of her zeros to a quadratic function. Her steps are shown. What must be true of this value?
Check = 2
0= (2)2 – 2(2) – 3
0= 4 - 4 - 3
0 -3
Answer:
Option C: since a false statement resulted, it means x = 2 is not a zero.
Step-by-step explanation:
We are told that She is checking the zeros of her quadratic function.
Now the zeros of a quadratic function f(x) are values of that make f(x) = 0. In order words they are basically the roots of the function or the x-intercept.
Now, she has tried x = 2 into her quadratic equation and it didn't yield zero.
Since it yielded -3 and not 0, it means 2 is not a zero of the quadratic function.