Answer:
The answer is 32.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
camille owns crunch code, a company that provides quick programming solutions. clients send projects to crunch via their web page and a programmer develops the needed code as quickly as possible. camille has five programmers, who do all of the coding. on average, a project arrives once every 4.8 hours, with a standard deviation of 6.00 hours. each project is assigned to one programmer and that programmer takes on average 19.2 hours to complete each project with a standard deviation of 19.2 hours. how many uncompleted projects does crunch code have in the system on average at any given time?
Therefore, on average, Crunch Code has approximately 4 uncompleted projects in the system at any given time.
To calculate the average number of uncompleted projects in the system at any given time, we need to use Little's Law, which states that the average number of entities (in this case, projects) in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.
Given:
Average arrival rate (λ) = 1 project every 4.8 hours
Average time spent in the system (W) = 19.2 hours
Using Little's Law, the average number of uncompleted projects (L) is given by:
L = λ * W
Substituting the values:
L = (1/4.8) * 19.2
= 0.208 * 19.2
≈ 3.9936
To know more about average,
https://brainly.com/question/27123974
#SPJ11
Find the slope of the line y = 5/9x + 7/2
Answer:
5/9 is your answer
Step-by-step explanation:
(x^2 + 5x + 2) – (5x^2 – x – 2) =
Answer:
\({ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2) }} \\ = { \tt{(1 - 5) {x}^{2} + (5 + 1)x + (2 + 2)}} \\ = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\ = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}\)
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old, Freda is 13 years old and Geoff is 18 years old.
How much should they each get?
There is grass growing on top of all the layers, yet there are remains of sea life below, how is that possible?
Need 6 and 7 done please and thank you
Answer:
black
black
Step-by-step explanation:
Write the coordinates of the vertices after a reflection over the line y=-5.
The coordinates of the vertices after a reflection over the line y = -5 is given as follows:
T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).
How to obtain the coordinates of the vertices after the reflection?The vertices of the original quadrilateral are given as follows:
T(-2,-5), U(2,-3), V(-2,-1), W(-3,-3).
The reflection line y = -5 is an horizontal line, meaning that after the reflection:
The x-coordinate remains constant.The y-coordinate will be equidistant to y = -5, however in an opposite direction.For example, the distance of the y-coordinate of the vertex U from -2 is of:
2 units above.
Then the y-coordinate of the vertex U' will be also 2 units from -5, just two units below, hence:
U'(2,-7).
Applying this rule for all the other vertices, they will be given as follows:
T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).
More can be learned about reflection at https://brainly.com/question/26642069
#SPJ1
A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the
bike is rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the
number of hours and y represent the total cost of the rental.
Use the key information above to find an equation that
represents this rental costs at the bike company. How much
would it cost someone to rent the same bike, with the same
fees, for 6 hours?
O $26
O $28
O $30
O $24
Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.
Now check your work:
(1 x 6) + 4 = 10
Answer:
They would pay $28.
Step-by-step explanation:
4 x 3 = 12, 22-12= 10. $10 is initial fee.
6 x 3 = 18, 18+10= 28. $28 for 6 hours
Calculate the volume of the prism shown below.
The volume of the prism shown can be found to be 64 cm ³.
How to find the volume of a rectangular prism ?To find the volume of a rectangular prism, you need to use the formula:
Volume = length x width x height
Where length, width, and height are the dimensions of the rectangular prism.
Given the rectangular prism shown, the volume would be :
= 8 x 2 x 4
= 16 x 4
= 64 cm ³
Find the out more on volume at https://brainly.com/question/12917973
#SPJ1
You and your friends Jamal and Carla decide to make some money during summer vacation by building and selling dog houses. To get the business started, Jamal contributes $25.55, and Carla contributes $34.45 to buy equipment and materials. You all agree that each person will earn the same amount of money after Jamal and Carla get back what they invested. Your business earns a total of $450. How much money does each person get at the end of the summer?
The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.
NK =
m
NL =
m
ML =
m
JM =
m
m
A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.
To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,
ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):
ML² = 20² + 20² - 2(20)(20)cos(50°)
ML² = 400 + 400 - 800cos(50°)
ML² ≈ 617.4
Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.
So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.
Learn more about the Law of Cosines at : https://brainly.com/question/30766161
#SPJ11
You deposit $2500 into a bank account that pays 7.5% annual interest, compounded continuously. Find
the amount in the account after 6 years?
Answer:
16,125
Step-by-step explanation:
a poll of $100$ eighth-grade students was conducted to determine the number of students who had a dog, a cat or a fish. the data showed that $50$ students had a dog, $40$ students had a cat, and $20$ students had a fish. further, $19$ students had only a dog and cat, $2$ students had only a cat and a fish, $3$ students had only a dog and a fish, and $12$ students had only a fish. how many students had none of these pets?
14 students had none of the pets mentioned in the problem.
Given Question is related to Sets and Function
By using the principle of inclusion-exclusion,
D = set of students who had a dog
C = set of students who had a cat
F = set of students who had a fish
Let's determine the sizes of the sets and their intersections:
|D| = 50
|C| = 40
|F| = 20
|D ∩ C| = 19
|C ∩ F| = 2
|D ∩ F| = 3
|D ∩ C ∩ F| = 0
|D ∪ C ∪ F| = ?
The size of the union of the sets as follows:
|D ∪ C ∪F| = |D| + |C| + |F| - |D ∩ C| - |C ∩ F| - |D ∩ F| + |D ∩ C ∩ F|
|D ∪ C ∪ F| = 50 + 40 + 20 - 19 - 2 - 3 + 0 = 86
Therefore, there were 86 students who had at least one of these pets.
To find the number of students who had none of these pets, we can subtract this number from the total number of students:
100 - 86 = 14
Therefore, 14 students had none of the pets mentioned in the problem.
To know more about Sets and Function here
https://brainly.com/question/31249554
#SPJ4
The perimeter of a square field is 900 m. Find its area.
Answer:
Given perimeter=900m
So each side = 900/4
= 225
as area of square = side^2
=225^2
=50,625 meters
evaluate the indefinite integral as an infinite series. x^2sin(x^2)
To evaluate the indefinite integral of x^2sin(x^2) as an infinite series, we can use the power series representation of the sine function:
sin(x) = Σ((-1)^n * x^(2n+1)) / (2n+1)!, where n = 0, 1, 2, ...
Now, we substitute x^2 into the sine function:
sin(x^2) = Σ((-1)^n * (x^2)^(2n+1)) / (2n+1)!
Now, we integrate x^2sin(x^2) with respect to x:
∫(x^2sin(x^2)) dx = ∫(x^2 * Σ((-1)^n * (x^2)^(2n+1)) / (2n+1)!) dx
We can move the summation outside the integral:
Σ((-1)^n * ∫(x^(4n+5)) / (2n+1)!) dx, where n = 0, 1, 2, ...
Now, we integrate the remaining term with respect to x:
∫(x^(4n+5)) dx = (x^(4n+6))/(4n+6) + C
So the indefinite integral as an infinite series is:
Σ((-1)^n * (x^(4n+6))/(4n+6)(2n+1)!) + C, where n = 0, 1, 2, ...
To know more about infinite series visit:
https://brainly.com/question/2371296
#SPJ11
Find the surface area of the rectangular pyramid.
1 = 12 ft, w = 8 ft, sh = 10 ft
a 194 ft²
b 182 ft²
c 272 ft²
d 296 ft²
Check it
In response to the stated question, we may state that As a result, the rectangular pyramid has a surface area of 296 ft2. 296 ft2 is the correct answer.
What is rectangle?In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle" at times. A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
To determine the surface area of a rectangular pyramid, first calculate the area of each face and then add them together.
Given the rectangular pyramid's dimensions:
Slant height= 10 ft base length (l) = 12 ft base width (w) = 8 foot
Then, calculate the area of the base. The area of the base is simply l w: because it is a rectangle.
Base area = \(12 ft x 8 ft = 96 ft^2\)
A triangle face's area equals 1/2 its base height, where base = w or l and height = sh.
\(1/2 *8 ft *10 ft = 40 ft^2\) area of the first triangle face
\(1/2 *12 ft *10 ft = 60 ft^2\)area of the second triangular face
Third triangular face area = \(1/2 *8 ft *10 ft = 40 ft^2\)
The area of the fourth triangular face is equal to \(1/2 *12 ft *10 ft = 60 ft^2.\)
Now put the areas of all the faces together to get the entire surface area:
Total surface area = base area + sum of all triangular face areas
Surface area total =\(96 ft^2 + (40 ft^2 + 60 ft^2 + 40 ft^2 + 60 ft^2)\)
296 ft2 total surface area
As a result, the rectangular pyramid has a surface area of 296 ft2.
296 ft2 is the correct answer.
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ1
Find the solution to the system of equations
Answer:
x = 2, y = 0
Step-by-step explanation:
Given the 2 equations
8x - 4y = 16 → (1)
8x + 4y = 16 → (2)
Add the 2 equations term by term to eliminate y
16x + 0 = 32
16x = 32 ( divide both sides by 16 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
8(2) + 4y = 16
16 + 4y = 16 ( subtract 16 from both sides )
4y = 0 , then
y = 0
Can someone plss help me with this!!
Answer:
f(3) = -11, f(-7) = 19
Step-by-step explanation:
f(x) = -3x -2
1.
f(3) is the f(x) when x = 3 so where we see x in the equation we write 3 and calculate
f(3) = -3(3) -2 = -9 -2 = -11
2.
f(-7) = f( x= -7) = -3(-7) -2 = 21 -2 = 19
Answer: 1) f(3)= -11 and 2) f(-7)= 19
Step-by-step explanation: f(x) means 'function of x' or just to replace x with the desired value. For example, f(3) just means x=3. Following below is written proof.
one of the most pieces of information with a var is whether each estimated coefficient for the lags are statistically significant (t-tests) true false
False, one of the most pieces of information with a var is whether each estimated coefficient for the lags is statistically significant (t-tests)
Statistical test (t-test)A statistical test called a t-test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment truly affects the population of interest or whether two groups differ from one another.
To know more about the T-test visit here:
https://brainly.com/question/17438355
#SPJ4
please help will mark brainlest!!
Answer:
11
Step-by-step explanation:
The angles will equal 180.
Thus, the equation is 9x-5+6x+20=180.
15x+15=180.
15x=165.
divide by 15 on both sides, x = 11.
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
click the red heart button to give thanks :) happy holidays
Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
convert y=-2x into standard form
what is .9 repeating as a fraction
There is no answer to this because:
Any digit repeating like that would usually be ?/9
Example: 0.1 repeating = 1/9
0.2 repeating = 2/9
0.8 repeating = 8/9
But 0.9 repeating? There should not be a fraction for that.
If you want to round up to 1, you can.
C Solve for x. 8x-4 60°
Answer:
8
Step-by-step explanation:
8x - 4 = 60
8x = 60 + 4
x = 64/8
x = 8
which of the following is the missing value in the table above?
Answer:
Answer is A 216
Step-by-step explanation:
252×6=1512
1512÷7=216
PLEASE HELP!! Please answer
Answer:
O x = 75, y = 68 (second option)
Step-by-step explanation:
74° = (x - 1)°
x - 1 = 74
x = 74 + 1
x = 75
40° + (y - 2)° + 74° = 180°
y - 2 = 180 - 40 - 74
y - 2 = 66
y = 66 + 2
y = 68
Answer:
Refer to the attachment
the graph represents the number of different tacos ordered for an office lunch. in total, how many tacos were ordered?
Answer:
do you have the graph to solve it?
An Arena seats 7,044 people. For an event at the arena tickets cost $36. If all the tickets are sold, how much money will be made?
$253584
Explanation
to solve this we need to use multiplication, so
total money= 36 times 7044, or 7044 times 36
\(\text{Total money= number of seats}\cdot\text{ cost of ticket}\)then, replace
\(\begin{gathered} \text{Total money= number of seats}\cdot\text{ cost of ticket} \\ \text{Total money=7044 people}\cdot\text{ 3}\frac{\text{ \$}}{\text{person}} \\ \text{Total money= \$ 253,584} \end{gathered}\)hence, the answer is
$253584
I hope this helps you
solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
Learn more about equation
brainly.com/question/29657983
#SPJ11
.........
........
........
Answer:
1 yellow would be 1/4, 2 red would be 1/8, 3 blue would be 1/4, and 4 green would be 3/8. please mark me brainliest by perssing or clicking the crown it would help me out.
Step-by-step explanation: