Answer:
Probability [No customers in system] = 0.375Customers waiting for service = 25/24Average time customer wait = 1.25/1.5May be waitPer customer average time = 1.33 (Approx)Step-by-step explanation:
Given:
Arrival rate λ = 1.25 min
Mean μ = 2
Computation:
(a) Probability [No customers in system]
Probability [No customers in system] = 1-[λ/μ]
Probability [No customers in system] = 1-[1.25/2]
Probability [No customers in system] = 0.375
(b) Customers waiting for service
Customers waiting for service = λ²/ [μ(μ-λ)]
Customers waiting for service = 1.25²/ [2(2-1.25)]
Customers waiting for service = 25/24
(c) Average time customer wait
Average time customer wait = λ / [μ(μ-λ)]
Average time customer wait = 1.25/ [2(2-1.25)]
Average time customer wait = 1.25/1.5
(d) May be wait because Customers waiting for service = 25/24
(e) Per customer average time
Per customer average time = 1/(μ-λ)
Per customer average time = 1/(2-1.25)
Per customer average time = 1.33 (Approx)
Need help geometric sequences see pic for details
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.
What is the domain of the function graphed below? Hurry pls I’m being timed
Plz Help me find the linear equation!!!!!!!!
Answer:
you need to show or tell us the problem for us to be able to help you
Step-by-step explanation:
:/
Answer:
um
Step-by-step explanation:
can u show us the question bc we can't help if there's no question
when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer
Four inches every four and a half pounds
The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
What is average?It is a measure of how much the function changes per unit, on average, over the given interval.
We have,
5 pounds loaded on a spring:
The length of the spring is 6 inches.
9 pounds loaded on a spring:
The length of the spring is 8 inches.
The average rate of change in the length of the spring as the load varies:
= (8 - 6) / (9 - 5)
= 2 / 4
= 1 / 2
= 0.5 inches per pound
Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
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there were 60 people in the town's first annual parade. That number has been growing by about 5% each year. predict the number of people in the towns 25th annual parade
The number of people in the 25th annual parade in the town, can be found to be 203 people
How to find the number of people?The number of people that attend the town parade, has been increasing by 5% each year since the first year. In that first annual parade, 60 people showed up.
The number of people in the 25th parade can be found by the formula:
= Number of people in first parade x ( 1 + growth rate) ^ number of years
= 60 x ( 1 + 5% ) ²⁵
= 60 x 3.3863549408993848167083336666837
= 203 people
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11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6
The given expression is :
1:2=3:x
To find,
The value of x.
Solution,
The ratio of LHS is 1:2 or 1/2
It should be same as in RHS.
If x = 6,
Then the ratio becomes :
1:2 = 3:6
or
1:2 = 1:2
Hence, the value of x = 6.
Which transformation from the graph of a function f(x) describes the graph of 5f(x)
Answer:
Dilation
Step-by-step explanation:
Given
Main function: f(x)
Resulting function: 5f(x)
Required
Which transformation exists between both functions
The general explanation is that:
When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).
Mathematically, if the following relationship exists between f(x) and g(x)
g(x) = k.f(x)
Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio
In this case:
g(x) = 5f(x)
So, the transformation that answers the question is dilation.
Answer: vertical | stretch | left
Step-by-step explanation:
your statement balance is 600.00 You have an outstanding checks for
125.00 and 175.00. an outstanding debit for 200.00. You also have an
outstanding deposit of 400.00. What is your adjusted balance? *
A.575.00
B.500.00
C.400.00
D.625.00
Answer:
B
Step-by-step explanation:
600+125+175=900-400(deposit)=500
or
600-125-175-300-200=100+400=500
Brainliest Please :)
We want to find the zeros of this polynomial:
p(x) = (2x2 – 9x + 7)(x - 2)
Answer:
Step-by-step explanation: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p*(x)-((2*x^2-9*x+7)*(x-2))=0
STEP
1
:
Equation at the end of step 1
px - (((2x2 - 9x) + 7) • (x - 2)) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2-9x+7
The first term is, 2x2 its coefficient is 2 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 2 • 7 = 14
Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is -9 .
-14 + -1 = -15
-7 + -2 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -2
2x2 - 7x - 2x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (2x-7)
Which is the desired factorization
Equation at the end of step
2
:
px - (2x - 7) • (x - 1) • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
px - 2x3 + 13x2 - 25x + 14 = 0
STEP
4
:
Solving a Single Variable Equation:
4.1 Solve px-2x3+13x2-25x+14 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
Supplement : Solving Quadratic Equation Directly
Solving 2x2-9x+7 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = 2x2-9x+7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.2500
Plugging into the parabola formula 2.2500 for x we can calculate the y -coordinate :
y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 + 7.0
or y = -3.125
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 2x2-9x+7
Axis of Symmetry (dashed) {x}={ 2.25}
Vertex at {x,y} = { 2.25,-3.12}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 3.50, 0.00}
3 Solving 2x2-9x+7 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 2
B = -9
C = 7
Accordingly, B2 - 4AC =
81 - 56 =
25
Applying the quadratic formula :
9 ± √ 25
x = —————
4
Can √ 25 be simplified ?
Yes! The prime factorization of 25 is
5•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 25 = √ 5•5 =
± 5 • √ 1 =
± 5
So now we are looking at:
x = ( 9 ± 5) / 4
Two real solutions:
x =(9+√25)/4=(9+5)/4= 3.500
or:
x =(9-√25)/4=(9-5)/4= 1.000
y=-|x+3| domain and range
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
−k+2(−2k−5) please help me
Answer:
-5k - 10
Step-by-step explanation:
-k + 2 (-2k - 5)
-k - 4k - 10
-5k - 10
Answer:
-K+2(-2K-5)
-K-2K-10
-3K=10
K= 10÷(-3)
K=-3.333333
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
Because 5/8×18 is 11 1/4
Answer:
what he said
Step-by-step explanation:
If there are 14 boys and 28 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:pop
Step-by-step explanation:
Answer:
14:28
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$140 for 13 ft2
the unit rate is:
answers please this is very hard :))
Answer:
1. you dont add before you multiply
2 they didnt do the parenthesis first...which was their mistake
Step-by-step explanation:
write the equation for the line that is parallel to y=2/3x-5 and goes through the point (-12/2)
Answer:
I put the equation into Point-Slope Form and got:
y - 2 = 2/3(x + (-12))
Distribute the 3 to the numbers on the left:
3y - 6 = 2(x - 12)
Multiply the Parenthesis by 2:
3y - 6 = 2x - 24
Add 6 to the right side:
3y = 2x - 18
Divide both sides by 3:
y = 2/3x - 6 is the answer :)
Best answer gets brainliest. How do I find X?
Answer:
x=10
Step-by-step explanation:
add al the numbers that are alike so xes with xes blah blah
17x+10=180
-10 both sides
17x=170
divide 17 both sides
check
5(10)=50-1=49
80+5=85
40+6=46
49+85+46=180
I need help guys please help
the basement of a building is 40 feet below ground level . the elevator rises of 5 feet per second . you enter the elevator in the basement write an equation that represents the height y (in feet) of the elevator
Answer:
y=5x-40
Step-by-step explanation:
It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Answer: 0.643
Step-by-step explanation:
There are 300 people and 193 were female.
The sample portion that is female is therefore;
= 193/300
= 0.643
Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
A coordinate plane is shown. There is a point at 7, 5 labeled Player 2. There is a point at negative 7, 5 labeled Player 1.
Which statement best describes the relationship between the positions of the two players? (4 points)
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Given:
Player 1 is at (-7,5).
Player 2 is at (7,5).
To find:
The relationship between the positions of the two players.
Solution:
The two points are (-7,5) and (7,5).
Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.
The transformation is defined as
[tex](x,y)\to (-x,y)[/tex]
It means, the points are mirror image of each other with respect to y-axis.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Therefore, the correct option is C.
Which equation has all real numbers as solutions?
HELLLPP
Answer:
The last answer D
Step-by-step explanation:
Hope this helps. :) :D
The equation 3y + 1 = 3y + 1 has all real numbers as solutions becasuse 0 = 0 true for all real numbers option (D) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The first equation:
3y = 3y + 1
0 = 1 (false)
The second equation:
3y = 3
y = 1 (one real solution)
The third equation:
3y = 0
y = 0 (one real solution)
The fourth equation:
3y + 1 = 3y + 1
0 = 0 (infinitely solution)
Thus, the equation 3y + 1 = 3y + 1 has all real numbers as solutions becasuse 0 = 0 true for all real numbers option (D) is correct.
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Jimmy and Chris go to Chick-fill-A. Jimmy orders 2 chicken sandwhiches and 5 cookies and pays
$17. Chris orders 3 chicken sandwiches and 2 cookies and pays $20. How much does a chicken
sandwich cost?
Answer:
A sandwich costs $6
write the following in the form Ax^2+Bx+C=y
Answer:
13). y = x² + 6x + 8
14). y = 2x² + 8x - 12
Step-by-step explanation:
13). Vertex form of a parabola is given by,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Equation of a parabola with vertex (-3, -1) will be,
y = a(x + 3)² - 1
Since, y-intercept of the parabola is y = 8
In other words, parabola is passing through (0, 8)
8 = a(0 + 3)² - 1
8 = 9a - 1
9a = 9
a = 1
Therefore, equation of the parabola will be,
y = (x + 3)² - 1
y = x² + 6x + 9 - 1
y = x² + 6x + 8
14). Equation of a parabola with vertex (-2, -20)
y = a(x + 2)² - 20
Since, y-intercept of the parabola is (0, -12),
-12 = a(0 + 2)² - 20
-12 + 20 = 4a
4a = 8
a = 2
Therefore, equation of the parabola will be,
y = 2(x + 2)² - 20
y = 2(x² + 4x + 4) - 20
y = 2x² + 8x + 8 - 20
y = 2x² + 8x - 12
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5 12% of the selling price.
a. How much commission will the salesperson earn by selling a couch for $495? Round to the nearest cent.
given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds
Answer:107.2
Step-by-step explanation:
Answer:
107.2
Step-by-step explanation:
6 x 16 = 96
.7 x 16 = 11.2
add them to get 107.2
Look at the image below and please tell me where to place the points.
There is no image posted though?
Answer: there is no image though
Step-by-step explanation:
A pack of cardinal flower seeds costs $4,and a pack of petunia flower seeds costs$2.50. You buy the same number of packs of each type of flower and spend $39. How many packs of each do you buy?
Answer:
6 packs of each
Step-by-step explanation:
$4+$2.50=$6.50
39/6.5=6
Answer:
6
Step-by-step explanation:
4x + 2.50x = 39
6.50x = 39
x = 6
Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are nequals6 trials, each with probability of success (correct) given by pequals0.2. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.
Answer:
0.2 +-4
Step-by-step explanation:
The required probability is 0.8826 that the number x of correct answers is fewer than 4.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are n equals 6 trials, each with a probability of success (correct) given by p equals 0.2.
This is a direct application of Binomial distribution with sample size (n) = 6 and P(success) = p = 0.35
Let X be a Binomial random variable.
X ~ Binomial (n = 6, p = 0.35)
We have to determine, P(X < 4)
Using Excel we discover this probability,
⇒ P(X < 4) = P(X ≤ 3) = BINOMDIST (3, 6, 0.35, 1) = 0.8826
⇒ P(X < 4) = 0.8826
Therefore, the required probability is 0.8826
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The HCF of two numbers is 20. The LCM of both numbers is a multiple of 14. One number is greater than the other, work out the smallest possible numbers
Answer:
20
Step-by-step explanation:
Given that the HCF of two numbers is 20 and the LCM of both numbers is a multiple of 14.
So, the LCM of both numbers = 14n where n can be any natural number.
As HCF of two numbers is always smaller than or equal to the smallest number among both the numbers.
Here, the HCF of two numbers is 20, so the smallest number is greater than of equal to 20.
Hence, the smallest possible number is 20.