Answer:
a) Capacities : station 1 = 3.5 , station 2 = 3.5
Both stations have the same capacity
b) 3.5 ( it does not differ from a )
c) The value will double i.e. 3.5 * 2 = 7
Step-by-step explanation:
a) compute the capacity of each station and show if the line is balanced
for station 1
Units : 1 ,2 ,3, 4 ,5, 6
probabilities : 1/6 ( same value for all units )
for station 2
units : 3, 4
probabilities : 1/2 1/2
Capacity of station 1= ( 1/6 * 1 ) + ( 1/6 *2 ) + ( 1/6 *3) + (1/6 *4) + (1/6*5) + (1/6*6 )
= 3.5
Capacity of station 2 = ( 1/2 * 3 ) + ( 1/2 * 4 )
= 3.5
∴ both stations have the same capacity
B) Expected throughput of the line
= Min( capacity of station 1 , capacity of station 2 )
= 3.5 ( It does not differ from a )
C) When an additional identical machine is added to both stations the expected throughput of the line will be doubled
i.e. expected throughput = ( 3.5 ) * 2 = 7
Which expression represents the area in square centimeters of the new cup opening? Use A=2
Answer:
A = πx² - 2πx + π
Step-by-step explanation:
The area of the new cup opening :
We are given the area formula to use :
Area, A = πr²
r = Radius = x-1
Area = π(x - 1)²
A = π(x - 1)(x - 1)
A = π(x² - x - x + 1)
A =π(x² - 2x + 1)
A = πx² - 2πx + π
Hallar la ecuación de la recta (2,3) y (1,-2)
Answer:
[tex]y=5x-7[/tex]
Step-by-step explanation:
Find all solutions to the equation.
sin x = square root of three divided by two.
Answer:
x = 60°
Step-by-step explanation:
Special Angles :
sin = opposite divided by hypotenuse
opposite of angle 60° is square root of three
hypotenuse is two
Answer:
x=60+k.360 or x =120+k.360
Step-by-step explanation:
[tex]sin x = \frac{ \sqrt{3} }{2 \\ ?} [/tex][tex]ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360[/tex]k€zDebbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?
Answer:
Step-by-step explanation:
11 22 6 34 19
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 590(1.79)
Answer:
growth
79% rate of increase
Step-by-step explanation:
1.79 is > than 1
therefor growth
1.79 = 79% rate of increase
What type of number is 12/3
Choose all that apply.
Whole number
Integer
Rational
Irrational
Answer: Rational
Step-by-step explanation: bc
DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent
Answer:
The APR of the loan was 18.30%.
Step-by-step explanation:
Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:
3,000 = 100
(73.94 x 48) = X
3,000 = 100
3,549.12 = X
3,549.12 x 100 / 3,000 = X
354,912 / 3000 = X
118.30 = X
118.30 - 100 = 18.30
Therefore, the APR of the loan was 18.30%.
3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?
Answer:
t = -1
c = 6
s = 8.2 or 8 1/5 (same thing just different notation)
Step-by-step explanation:
3(t+4) = 9
3t + 12 = 9
3t = -3
t = -1
-(c-6) = 0
-c + 6 = 0
-c = -6
c = 6
-10(s+4) = -122
-10s - 40 = -122
-10s = -82
10s = 82
s = 82/10 = 8.2 or 8 2/10 or 8 1/5
Select the correct answer.
On the curve y= x^2+ 1 point Q has the coordinates (1.3.2.69). Estimate the slope of the curve at point Q by taking values very close to the x-
coordinate of Q.
OA 2.5
OB. 2.6
OC. 3.3
OD 5.2
Answer:
I think No B
if wrong correct me pls
have a great day
Mrs.Montana has five students namely:rodley,cristina,christian,elsa and made .Count all the letters in each name.In which of the following sets the order of the names least to greatest.
ARodley,cristina,Christian,mae,elsa
Bcristina,Christian elsa mae rodley
c Mae elsa rodley cristina Christian
D Christian Cristina rodley mae elsa
Answer:
C
Step-by-step explanation:
Mae, Elsa, Rodley, Cristina, Christian
find the equation of line parallel to y=-2x+1 and passing through the point (2,4)
Answer:
[tex]y=-2x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slopes1) Determine the slope (m)
[tex]y=-2x+1[/tex]
The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-2x+b[/tex]
Plug in the given point (2,4) to solve for b
[tex]4=-2(2)+b\\4=-4+b[/tex]
Add 4 to both sides to isolate b
[tex]4+4=-4+b+4\\8=b[/tex]
Therefore, the y-intercept of the line is 8. Plug this back into [tex]y=-2x+b[/tex]:
[tex]y=-2x+8[/tex]
I hope this helps!
What is the distance between the points?
Answer:
[tex] \sqrt{113} [/tex]
Step-by-step explanation:
To find the distance between the two points, apply the distance formula given as:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] (-4, -5) = (x_1, y_1) [/tex]
[tex] (4, 2) = (x_2, y_2) [/tex]
Plug in the values
[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]
[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]
[tex] d = \sqrt{64 + 49} [/tex]
[tex] d = \sqrt{113} [/tex]
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: Determine the distance between (-4, -5) and (4, 2).
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-4, -5)[/tex][tex]\sf (x_2, y_2) = (4, 2)[/tex]Substitute the given values into the distance formula and solve for d:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf d = \sqrt{[4 - (-4)]^2 + [2 - (-5)]^2}[/tex][tex]\sf d = \sqrt{(8)^2 + (7)^2}[/tex][tex]\sf d = \sqrt{64 + 49}[/tex][tex]\bold{d = \sqrt{113} \approx 10.6 \: units}[/tex]Therefore, the distance between two points is [tex]\sqrt{113}[/tex] or 10.6 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437
Please help I have gotten through every problem except this one!
Answer:
Step-by-step explanation:
BUG is 30 degrees more than GUY
So that means if <GUY = x
< BUG = <GUY + 30
Together they make 180 degrees
<BUG + <GUY = 180 Substitute for <BUG
<GUY + 30 <GUY = 180 Combine
2*<GUY + 30 = 180 Subtract 30 from both sides
2*<GUY = 150 Divide by 2
<GUY = 150/2
<GUY = 75
<BUG = 75 + 30
<BUG = 105
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$ per comic?
Answer:
$0.25
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given m||n, find the value of x and y
Hope this might help you (•.•) :)
Question 1 of 10
The number √3 goes on forever with no repeating pattern; therefore, it is
rational.
A. True
B. False
SUBMIT
Answer:
False
Step-by-step explanation:
Rational number :
A rational number is a number which can be represent as p/q of two integers where q is not equal to zero
Example: 2/3
[tex]\sqrt{3}[/tex] = 17320508075........ and it keeps extending. Since it does not terminate or repeated after the decimal point.
Therefore [tex]\sqrt{3}[/tex] is an irritational number,
Hence given statement is FALSE
Identify the outliers of the data set. Then determine if the outlier increases or decreases the value of the mean.
35, 42, 76, 38, 41, 32, 38, 36, 34, 42, 37
A: 76; decreases
B: 32; decreases
C: 32; increases
D: 76; increases
========================================================
Explanation:
The main group or cluster of values spans from 32 to 42 (inclusive).
Then off on its own is the value 76, which we consider an outlier. This value is fairly far from the group. As a rule, large outliers pull on the arithmetic mean to make it larger than it should be. Think of it like the outlier pulling on the mean as if it was done through a magnet or gravitational pull.
Similarly, small outliers pull the mean to the left to make it smaller than it should be. We don't have any small outliers in this case.
--------------
Let's consider the set
A = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 46}
where I've sorted the values and I replaced 76 with 46.
Computing the mean of set A gets us
(32+34+35+36+37+38+38+41+42+42+46)/11 = 38.27 approximately
--------------
Now let's form this set
B = {32, 34, 35, 36, 37, 38, 38, 41, 42, 42, 76}
which is the original set your teacher gave you. It's nearly identical to set A, except that the 46 is now 76 again.
Compute the mean of set B
(32+34+35+36+37+38+38+41+42+42+76)/11 = 41
---------------
Set A has a mean of roughly 38.72 and set B has a mean of 41. We see that the mean has increased.
z is a standard normal random variable. The P (1.41 < z < 2.85) equals a.0.4978 b.0.0771 c.0.9185 d.0.4207
Answer:
[tex]P (1.41 < z < 2.85) = 0.0771[/tex]
Step-by-step explanation:
Required
[tex]P (1.41 < z < 2.85)[/tex]
This is calculated as:
[tex]P (1.41 < z < 2.85) = P(z < 2.85) - P(z < 1.41)[/tex]
From z probabilities:
[tex]P(z < 2.85) = 0.99781[/tex]
[tex]P(z < 1.41) = 0.92073[/tex]
So, we have:
[tex]P (1.41 < z < 2.85) = 0.99781 - 0.92073[/tex]
[tex]P (1.41 < z < 2.85) = 0.07708[/tex]
Approximate
[tex]P (1.41 < z < 2.85) = 0.0771[/tex]
f(a)=|x-6|-|x+5|
evaluate
What is the relative maximum point for the function shown on the graph?
A)(0, -1)
B)(-3,0)
C(-2,-5)
D)(2,5)
Helpppp plzzz
Answer:
A) (0, -1)
Step-by-step explanation:
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)
(0, -1)
Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of?
Answer:
The possible number that Hall could be thinking of is 144.
Step-by-step explanation:
Difference between 17 and the square root of my mystery number
This is represented by:
[tex]17 - \sqrt{x}[/tex]
is 5
Then:
[tex]17 - \sqrt{x} = 5[/tex]
What are two possible numbers that Hall could be thinking of?
We have to solve the equation, for x. So
[tex]17 - \sqrt{x} = 5[/tex]
[tex]\sqrt{x} = 12[/tex]
[tex](\sqrt{x})^2 = (12)^2[/tex]
[tex]x = 144[/tex]
The possible number that Hall could be thinking of is 144.
determine the general term of this sequence 2;10;18;26;.........;394
Answer:
Tn=8n-6
Step-by-step explanation:
this is arithmetic sequence so first we check our difference by saying
T2-T1=T3-T2
10-2=18-10
so difference =8 nd a=2
Formula for arithmetic is Tn=a + (n-1)d
then substitute Tn=2 + (n-1)(8)
Tn=2 + 8n-8
Tn=8n-6
Please help kdkeoeieiei
Answer:
NEGATIVE
Step-by-step explanation:
Answer:
positive
Step-by-step explanation:
positive
on a certain map, 3/4 inch represents a distance of 150 miles. what distance d, in terms of x, is represented by x inches on the map
Answer:
x=80
Step-by-step explanation:
what is the area of a rectangular driveway measuring 20 feet long and 15 feet wide?
Answer:
300 square feet
Step-by-step explanation:
Area is found by multiplying the length and width of a surface
If the profits in your consulting business increase by 6% one year and decrease by 3% the following year, your profits are up by 3% over two years
Answer:
its 1.388 p
Step-by-step explanation:
i hope this helps
what is 7x+3y=9 in y-intercept form?
Answer:
y = -2 1/3+3
Step-by-step explanation:
-Subtract 7x from each side of equation
-divide by 3 on each side
7x+3y = 9
3y = -7x+9
y = -7/3+3
:) ur welcome
100 Brainly points!!!!
In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.
Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•
& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).
Answer:
Point A’ is at (-2,-2)
& point D' is at (4,-2)
Step-by-step explanation:
Point A’ => (-1×2, -1×2) => (-2 , -2)
Point D' => (2×2 , -1×2) => (4 , -2)
A is at (-1,-1)
So A' is at
2(-1,-1)(-2,-2)D is at
(2,-1)D' is at.
2(2,-1)(4,-2)Simplify (5 square root 2 - 1 ) ^2
Answer:
576
Step-by-step explanation:
5 square root 2 is 25
25 minus 1 is 24
24 square root 2 is 576
Answer:
25
Step-by-step explanation:
[tex](5\sqrt{(2-1)} ^{2}[/tex]
[tex](5\sqrt{1}) ^{2}[/tex]
Tính I = tích phân ( x^2 - 3xy) dx + ( x-y) dy với đường cung định hướng AB là ve tẻ nối điểm A ( 2,3 ) và B ( 1 , 1 )
