1. The area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.
2. The area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.
3. The area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.
To find the area under the standard normal curve using the z-table, you need to locate the corresponding z-scores and subtract the areas.
Between z=0 and z=0.68:
From the z-table, the area to the left of z=0 is 0.5000, and the area to the left of z=0.68 is 0.7517.
Therefore, the area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.
Between z=-0.46 and z=0:
From the z-table, the area to the left of z=-0.46 is 0.3222, and the area to the left of z=0 is 0.5000.
Therefore, the area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.
Between z=-0.34 and z=0.68:
From the z-table, the area to the left of z=-0.34 is 0.3669, and the area to the left of z=0.68 is 0.7517.
Therefore, the area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.
Note: The z-table provides the area to the left of the given z-score. To find the area between two z-scores, you need to subtract the areas corresponding to those z-scores.
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C an you simplify 5^-8 x 5^4
Answer:
1/625
Step-by-step explanation:
Exponent Rule: [tex](b^m)(b^n) = b^{m+n}[/tex]
Exponent Rule: [tex]b^{-m}=\frac{1}{b^m}[/tex]
5⁻⁸ · 5⁴ = -8 + 4 = -4
5⁻⁴
1/5⁴
1/625
(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is the value of x?
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
[tex]4(2x+9)+2(4x-8)=180[/tex]
Now that we have our equation, let's distribute the [tex]4[/tex] and the [tex]2[/tex] into the parentheses they are next to:
[tex]8x+36+8x-16=180[/tex]
Combine like terms:
[tex]16x+20=180[/tex]
Subtract [tex]20[/tex] from both sides of the equation:
[tex]16x=160[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]16[/tex]:
[tex]x=10[/tex]
~
Check your work by substituting [tex]10[/tex] into one of the equations above:
[tex]8(10)+36+8(10)-16=180[/tex]
[tex]80+36+80-16=180[/tex]
[tex]180=180[/tex]
It's correct!
Question 11:
Solve the following LP formulation in Excel
Maximize Z=300×1+90×2+400×3+150×4
subject to:
$35,000×1+10,000×2+25,000×3+90,000×4≤$120,000
4×1+2×2+7×3+3×4≤12 acres
×1+×2≤1 facility
×1,×2,×3,×4=0 or 1
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
To solve the given linear programming problem in Excel, you can use the Solver add-in. Here are the steps to set up and solve the LP formulation:
Step 1: Set up the Excel spreadsheet with the following columns:
Column A: Variables (x1, x2, x3, x4)
Column B: Coefficients of the objective function (300, 90, 400, 150)
Column C: Constraint coefficients for the first constraint (35000, 10000, 25000, 90000)
Column D: Constraint coefficients for the second constraint (4, 2, 7, 3)
Column E: Constraint coefficients for the third constraint (1, 1, 0, 0)
Column F: RHS values for the constraints (120000, 12, 1)
Column G: Variable type (0 or 1)
Column H: Variable names (optional)
Cell J2: Objective function (formula: =SUMPRODUCT(B2:B5, G2:G5))
Step 2: Set up the Solver add-in:
Go to the "Data" tab and click on "Solver" in the "Analysis" group.
In the Solver Parameters dialog box, set the following:
Set Objective: Cell J2
To: Max
By Changing Variable Cells: Range G2:G5
Subject to the Constraints: Range C2:F4
Click on the "Add" button to add each constraint.
Click on the "Solve" button to solve the LP problem.
Note: Before running the Solver, make sure you have the Solver add-in enabled. You can enable it by going to "File" -> "Options" -> "Add-Ins" -> "Excel Add-Ins" -> "Solver Add-in" -> "OK".
By solving the LP formulation using Solver in Excel, you will obtain the optimal values for the decision variables x1, x2, x3, x4 that maximize the objective function Z.
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WILL GIVE BRAINLIEST!!
Find the value of x in the diagrams below.
a) 71
b.) 32
c.) 109
d.) 24
Answer:
(3x - 1 )° is equals to 71 degreesthe statement will be 3x - 1 degree is equal to 71 degree put the like terms together 3 x is equals to 71 degrees + 1 degrees then it'll be 3 x is equals to 72 then divide both sides by 3 will get x is equals to 24 degrees
What is the domain of this function y =1|
/x
Answer:
x≠0
Step-by-step explanation:
The domain of a variable is basically what a variable can be. It's usually All Real Numbers. But this is a special case. x is a denominator. Since division by 0 is undefined, and any other number can work, the answer is x≠0. Hope this helped :)
The function f has a domain of { 2, 4, 6, 8} and a range of {1, 3, 5}. Could f be represented by {(2,1), (4,3), (6, 5), (8,1)}? Explain your answer.
Answer:
yes
Step-by-step explanation:
The coordinates don't have more than 1 of the same input and the x values are in the domain and the y values are in the range.
Hope this helps
Does anyone know the answer 2=10-4y;2
Answer:
y = 2
Step-by-step explanation:
2 = 10 - 4y
Subtract 10 from both sides;
-8 = -4y
Divide both sides by -4
y = 2
Q. 3) (20 p.) Consider the integral ∫ 1/z-a dz where C is any closed contour that goes around the point z = a once in the positive direction. Evaluate the integral on the contour with starting point at z = a + eᶦ ⁰.
To evaluate the integral ∫ 1/(z-a) dz along a closed contour C that goes around the point z=a once in the positive direction, we can apply Cauchy's Integral Formula. The integral is equal to 2πi times the residue, which is 2πi * 1 = 2πi.
The value of the integral depends on the properties of the function inside the contour, specifically whether the function has a singularity at z=a.
The given integral is of form ∫ 1/(z-a) dz, where z-a represents the denominator. If contour C encloses the point z=a and the function 1/(z-a) has a singularity at z=a, we can apply Cauchy's Integral Formula. According to the formula, the integral evaluates to 2πi times the value of the function at the singularity.
In this case, the function 1/(z-a) has a simple pole at z=a. When integrating around a simple pole, the value of the integral is 2πi times the residue of the function at the pole. The residue of 1/(z-a) at z=a is simply 1.
Therefore, evaluating the integral ∫ 1/(z-a) dz along the given contour C with a starting point at z=a + e^i0, we find that the integral is equal to 2πi times the residue, which is 2πi * 1 = 2πi.
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You have completed 45 assignments which is 75% of your total for the year. How many total assignments are you assigned?
Answer:
60
Step-by-step explanation:
45/3 + 45 = 60
acqueline reads 25 pages every night. Which graph correctly displays y, the total number of pages that Jacqueline has read after x days?
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A horizontal line is at y = 25.
On a coordinate plane, an exponential curve graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis.
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (0, 25) and (13, 40).
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
Answer:
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
Step-by-step explanation:
Answer:
D- (1,25) (2,50)
Step-by-step explanation:
edge 2020
Which functions are equivalent to f (x) = RootIndex 4 StartRoot 162 EndRoot Superscript x? Check all that apply.
Answer:
1,3,5
Step-by-step explanation:
Answer:
A.B. E.
Hope this helps!
Step-by-step explanation:
write the sentence as inequality. one-half is at least 3 times a number p
Answer: 1/2 > 3p
Step-by-step explanation:
What is 1 5/8 plus 3 3/4?
Answer:
5 5/8
Step-by-step explanation:
I just know
Use the function g(x)=5x−2
to complete the table.
x
g(x)
-4
-7
0
23
38
Answer:
komi chunga lilo mas te ordo
Step-by-step explanation:
Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn?
Answer:
$56.25
Step-by-step explanation:
We have to multiply 12.50 x 4.5
$56.25 TRUST ME
thanks for the help in advance.
Answer:
6x÷7
Step-by-step explanation:
quotient means division
6x/7
6x÷7
Which expression is not equivalent to mn + 5
PLEASE HELP ME WITH THIS ITS 10 POINTS!!! Im begging you
Answer:
x = 5 weeks
Step-by-step explanation:
MX + B
Jacob: 7x + 40
Savannah: 5x + 50
Equality:
7x + 40 = 5x + 50
subtract 5x from both sides of equation
2x + 40 = 50
subtract 40 from both sides of equation
2x = 10
divide by 2
x = 5 weeks
Answer:
j = 7x +40; s = 5x +50x = 5Step-by-step explanation:
Jacob is saving $7 per week, so after x weeks, he has saved 7x in addition to the $40 he started with:
j = 7x +40
Similarly, Savannah is saving $5 per week in addition to the $50 she started with, so her savings will be ...
s = 5x +50
Jacob and Savannah will have the same amount of money when ...
j = s
7x +40 = 5x +50 . . . . substitute for j and s
2x +40 = 50 . . . . . . . . subtract 5x from both sides
2x = 10 . . . . . . . . . . . . subtract 40 from both sides
x = 5 . . . . . . . . . . . . . . divide both sides by 2
_____
Comment on the equations
I used j and s for the amounts that Jacob and Savannah accumulated, because I like to use variable names that remind me what they stand for. You may be expected to write these as y = equations, where y stands for the amount each person has saved.
Which ordered pair is a solution to the set of linear inequalities below?
I am not 100% sure but I believe its D
which two things are workers in the arts av technology and communication cluster most focused on? check all that apply
Answer:
Communicating and performing
Step-by-step explanation:
I just did that question and got it correct
Answer:
3 and 5
Step-by-step explanation:
Find the area of a circle with radius, r = 14cm.
Give your answer rounded to 3 SF.
Answer:
616 cm^2
Step-by-step explanation:
using π r ^ 2
22/7 × 14^2
616 cm^2
5+9-4+5= what? What is the answer?
Answer: 5
Step-by-step explanation:
Answer:
The answer of 5+9-4+5 is 15
An annuity-immediate has 32 payments of $500 per period. The effective rate of interest per period is 8% for the first 12 periods and 4% for the following 20 period: (A) Find the accumulated value of the annuity. Round your answer to 2 decimal places. x (B) Find the present value of the annuity. Round your answer to 2 decimal places. x
a. The Total Accumulated value of the annuity is $17205.50
b. The Total Present value of the annuity is $6357.31
(A) To find the accumulated value of the annuity, we need to calculate the future value of each payment and sum them up. The annuity has 32 payments of $500 per period.
For the first 12 periods, the effective rate of interest is 8%. Using the formula for the future value of an ordinary annuity, which is FV = P X ((1 + r) ^ n - 1) / r, where FV is the future value, P is the payment, r is the interest rate per period, and n is the number of periods, we can calculate the accumulated value for these 12 periods:
FV1 = $500 X ((1 + 0.08) ^ 12 - 1) / 0.08= 14572.5
For the following 20 periods, the effective rate of interest is 4%. Using the same formula, we can calculate the accumulated value for these periods:
FV2 = $500 X ((1 + 0.04) ^ 20 - 1) / 0.04=2633.00
To find the total accumulated value of the annuity, we sum up the two values:
Accumulated Value = FV1 + FV2=$17205.50
(B) To find the present value of the annuity, we need to discount each payment to the present using the appropriate discount rate for each period. Since the annuity has different interest rates for the first 12 periods and the following 20 periods, we need to discount each payment separately.
For the first 12 periods, the discount rate is 8%. Using the formula for the present value of an ordinary annuity, which is PV = P * (1 - (1 + r) ^ -n) / r, where PV is the present value, P is the payment, r is the interest rate per period, and n is the number of periods, we can calculate the present value for these 12 periods:
PV1 = $500 X (1 - (1 + 0.08) ^ -12) / 0.08=$2328.31.
For the following 20 periods, the discount rate is 4%. Using the same formula, we can calculate the present value for these periods:
PV2 = $500 X (1 - (1 + 0.04) ^ -20) / 0.04=$4092.
To find the total present value of the annuity, we sum up the two values:
Present Value = PV1 + PV2=$6357.31
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Which equation represents the graph below?
Answer:y=-4+3x
Step-by-step explanation:the slope would be 3 and the y-intercept is -4
Hey can someone help me out here? I have 3 questions i will give brainliest and it's worth 100 points no cap.
1.) For the following conditional statement, write the a.)
inverse and b.) converse.
If it is Saturday, then there is no school.
2.) Write the following statement in if-then form.
All freshman are required to attend orientation.
3.) Fill in the blank for the following two-column proof.
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 ________________________
3. X=-5 Division Property
Answer:
see below
Step-by-step explanation:
1. The inverse means take the not of both sides
If it is Saturday, then there is no school.
Inverse If it is not Saturday, then there is school.
The converse flips the then and the if
If there is no school, then it is Saturday.
2.) The first given part is the if, what will happen is the then part
If you are a freshman, then you are required to attend orientation.
3.)
Given: 3x+1=-14 Prove: x=-5
Statements Reasons
1. 3x+1=-14 Given
2. 3x=-15 Subtraction Property of equality ( since we subtract 1 from each side)
3. X=-5 Division Property ( since we divide each side by 3)
En una empresa de mensajería, el costo por enviar un paquete es de $6.000 por una distancia de un kilometro o fracción del mismo, y $ 1.100 adicionales por cada kilometro o fracción de este.
a) ¿Cuánto cuesta enviar un paquete de 1,2 km? ¿5,9 km? ¿7 km? ¿10,5 km? Explica tu respuesta.
b) Halla la expresión algebraica que representa el costo del envío de un paquete en función de la distancia. Explica tu respuesta.
Jordan has a garden that is enclosed by a rectangular fence. The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of Jordan’s garden
Answer:
432 square feet
Step-by-step explanation:
We know perimeter of rectangle is 2(length + width)
we already know that length is 8 yards
and perimeter is 84 feet
we need to find width first
then
we find area of garden by using formula
area of rectangle = length * width
first we need to convert yards into feet as perimeter is in yards
1 yard = 3 feet
8 yards = 3*8 feet = 24 feet
now we plug value of length and perimeter in formula
perimeter = 2(length + width)
84 = 2(24 + width)
84/2 = 24 + width
=> 42 = 24 + width
=> width = 42 - 24 = 18
Thus, width of garden is 18 feet
now
area of Jordan's garden = length * width = 24* 18 feet square
area of Jordan's garden = 432 square feet
What is the range of this function?
A {-4, 1, 7, 15,}
B {-4, -1, 15, 18}
C {-4, -1, 1, 4, 7, 8, 15, 18,}
D {-1, 4, 8, 18,}
find the ratio which are the points p(X,2) divides the line segment joining the point a(12,5) and b(4,-3) also find X plz give answer for this
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
Step-by-step explanation:
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) see graph
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 when simplified
To find the distance, use the distance formula OR pythagorean theorem.
Priya was busy studying this week and ran 7 fewer miles than last week. She ran 9 times as far as Elena ran this week. Elena only had time to run 4 miles this week.
How many miles did Priya run last week
Elena writes the equation 1/9(x﹣7) = 4 to describe the situation. She solves the equation by multiplying each side by 9 and then adding 7 to each side. How does her solution compare to the way you found Priya’s miles?
Answer:
1) The number of miles Priya ran last week was 43 miles
2) The way Elena found Priya's miles is faster compared to the way it was found here
Step-by-step explanation:
1) The number of miles Priya ran this week = The number of miles Priya ran last week - 7
The number of miles Priya ran this week = 9 × The number of miles Elena ran this week
The number of miles Elena ran this week = 4 miles
Therefore;
Let the number of miles Priya ran last week = x miles
The number of miles Priya ran this week = (x - 7) miles
Therefore, we have
(x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles
x = (36 + 7) miles = 43 miles
The number of miles Priya ran last week = x miles = 43 miles
The number of miles Priya ran last week = 43 miles
2) From (x - 7) = 9 × The number of miles Elena ran this week = 9 × 4 miles = 36 miles, we have;
(x - 7) = 9 × 4
1/9(x - 7) = 4
Therefore, multiplying by 9, we have;
9 × 1/9(x - 7) = 9 × 4
(x - 7) = 9 × 4 = 36
x - 7 + 7 = 36 + 7
x = 43 miles
Therefore, the way Elena found Priya's miles is faster compared to the way it is found here
