Answer:
[tex]y=359x+1500[/tex]
Step-by-step explanation:
The data provided is as follows:
Months (x) Costs (y)
1 $1,859
3 $2,577
8 $4,372
12 $5,808
The slope intercept form is:
[tex]y = mx+b[/tex]
Here,
m = slope
b = intercept.
Compute the value of m and b as follows:
[tex]\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 14616 \cdot 218 - 24 \cdot 114262}{ 4 \cdot 218 - 24^2} \approx 1500 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 114262 - 24 \cdot 14616 }{ 4 \cdot 218 - \left( 24 \right)^2} \approx 359\end{aligned}[/tex]
The equation in slope-intercept form to represent the total cost, y, of leasing a car for x months is:
[tex]y=359x+1500[/tex]
Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+8)°m∠z=(133−6n)° m ∠ x = ( 4 n − 18 ) ° m ∠ y = ( n + 8 ) ° m ∠ z = ( 133 − 6 n ) °
Answer:
67°
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.
Before we can get the exterior angle Z, we need to first calculate the value of n.
In geometry, the sum of interior angles is equal to the remote exterior angle.
m∠z = m∠x + m∠y
(133-6n)° = (4n-18)°+(n+8)°
133-6n = 4n-18+n+8
-6n-4n-n = -18-133+8
-11n = -143
n = 143/11
n = 13°
Since the exterior angle m∠z =(133-6n)°
Substituting n = 11 into the equation will give:
m∠z = 133-6(11)
m∠z = 133-66
m∠z = 67°
The remote exterior angle is 67°
Answer: 55
Step-by-step explanation:
need some help asap...............
Answer:
39.94 cmSolution,
ABCD is a rectangle.
Given,
AC= 64 cm
AB= 50 cm
To find: Value of other side of TV
since, ABCD is a rectangle
<B= 90°
Using Pythagorean theorem:[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:
Country Average monthly salary Standard deviation Original currency
the Czech Republic $1,059 $158.80 koruna
Latvia $790 $118.60 lat
Korea $2,245 $673.60 won
Romania $646 $96.80 leu
the United States $4,141 $1,242.20 dollar
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.
a) highest z score
b) lowest z score
c) z score closest to zero
Answer:
a) highest z score
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .
Step-by-step explanation:
Let us calculate z-score corresponding to each country.
The z-score is given by
[tex]$ z = \frac{x-\mu}{\sigma } } $[/tex]
Czech Republic:
μ = $1,059
σ = $158.80
[tex]z = \frac{1500-1059}{158.80 } } \\\\z = 2.77[/tex]
Latvia:
μ = $790
σ = $118.60
[tex]z = \frac{1500-790}{118.60 } } \\\\z = 5.98[/tex]
Korea:
μ = $2,245
σ = $673.60
[tex]z = \frac{1500-2245}{673.60 } } \\\\z = -1.10[/tex]
Romania:
μ = $646
σ = $96.80
[tex]z = \frac{1500-646}{96.80 } } \\\\z = 8.82[/tex]
United States:
μ = $4,141
σ = $1,242.20
[tex]z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12[/tex]
Country z-score
Czech Republic 2.77
Latvia 5.98
Korea -1.10
Romania 8.82
The United States -2.12
Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the highest z score .
What is the value of the expression below?
(9-3)+4(6-7)
0 -7
0 -1
0 7
O 20
Hello!
Answer:[tex]\boxed{ \bf The~value~of~the~expression~is~2.}[/tex]
__________________________________________________
Explanation:We can solve this expression using the order of operations.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
(In some places it might be called BEDMAS).
(9-3)+4(6-7)
Start by solving the brackets (parentheses).
6 + 4(-1)
Next, we must multiply 4 by -1.
6 + (-4)
This can be written as:
6 - 4
= 2
I think you meant to put 2 instead of 20 in the options.
The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?
Answer:
909.8 millibars.
Step-by-step explanation:
The mean sustained velocity, v be determined by the equation:
[tex]v=6.3\sqrt{1013-p}[/tex], where p is the air pressure, in millibars, at the center of the hurricane.
Given that: v=64 meters per second, we are to find the value of p.
[tex]64=6.3\sqrt{1013-p}\\$Square both sides to eliminate the square root sign\\(64)^2=(6.3\sqrt{1013-p})^2\\4096=39.69(1013-p)\\$Divide both sides by 39.69$\\\dfrac{4096}{39.69}=1013-p\\ $Therefore:$\\p=1013-\dfrac{4096}{39.69}\\\\p=909.8$ millibars[/tex]
The approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second is 909.8 millibars.
Answer:
D
Step-by-step explanation:
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.
Answer:
The slope is [tex]s =[/tex] $0.1774 / pounds
Step-by-step explanation:
From the question we are told that
The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]
The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50
The weight of a Beagle is [tex]w_2 = 30 \ pound[/tex]
The cost of feed a Beagle per week is [tex]c_2 =[/tex]$9.20
Now the slope can be evaluated mathematically as
[tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]
substituting values
[tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]
[tex]s =[/tex] $0.1774 / pounds
(7x^2+6) -(2x - 5) subtract
Answer:
7x² - 2x + 11
Step-by-step explanation:
(7x² + 6) - (2x - 5) → 7x² + 6 - (2x-5)
7x² + 11 - 2x → 7x² - 2x + 11
Answer: 7x² - 2x + 11
Hope this helped! :)
Answer:
7x^2-2x+11
Step-by-step explanation:
Fuel x cost $2 per gallon and fuel y cost $3 per gallon. You have at most $18 to spend on fuel. Write a system of linera inequalities to represent this situatiom
Answer:
[tex]2x + 3y \leq 18[/tex]
Step-by-step explanation:
Given :
fuel x is $2 i.e $2x
fuel y is $3 i.e $2y
As mention in the question the cost will be almost $18 to spending the fuel
So
Linear equation can be written as
[tex]2x + 3y \leq 18\\\ where\ x\geq 0\ and\ y\geq 0[/tex]
Answer:
2x + 3y <= 18, x >= 0, and y >= 0
Step-by-step explanation:
Anyone pls help me... I NEED THIS ANSWER..
Answer:
SA = 1404.4 cm²
Step-by-step explanation:
Surface Area of cylinder = [tex]2\pi rh+2\pi r^2[/tex]
Where r = 7 cm, h = 25 cm
SA = [tex]2(3.14)(7)(25) + 2(3.14)(7)^2[/tex]
SA = 1099.56 + 2(3.14)(49)
SA = 1099.56 + 307.9
SA = 1404.4 cm²
Find the surface area of the square pyramid using its net.
Answer:
33 square units
Step-by-step explanation:
4 triangles - 1/2 * 3 * 4 = 24
base is 3 * 3 = 9
24 + 9 = 33
Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? Answer-0.09 miles per minute
Answer:
-0.09 miles per minute
Step-by-step explanation:
The area of a rectangle is square units. Factor this expression. Given your answer in part A, describe what you can conclude about the dimensions of the rectangle in two or more complete sentences.
Answer:
The factored area of the rectangle=2(2w-5)
Area of a rectangle=length×width
Step-by-step explanation:
Area of rectangle is 4w - 10 square units
We have to factor the expression
Area of rectangle = 4w - 10
common factor=2
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
Area of a rectangle=length × width
Area of the rectangle=2×(2w-5)
Thus, it is safe to say
The length=2 or (2w-5)
The width=(2w-5) or 2
A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip with empty cars. What is the train's average speed for the entire trip
Answer:
24mph
Step-by-step explanation:
Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)
The train's average speed for the entire trip is equal to 25 mph.
Given the following data:
Distance A = 20 milesTime A = 1 hourDistance B = 30 milesTime B = 1 hourTo determine the train's average speed for the entire trip:
First of all, we would find the total distance and total time for the trip respectively.
For total distance:
[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]
Total distance = 50 miles
For total time:
[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]
Total time = 1 hour
Mathematically, average speed is given by the formula:
[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]
Average speed = 25 mph.
Read more: https://brainly.com/question/17742679
For A (1, -1), B(-1,3), and C(4, -1), find a possible location of a fourth point, D, so that a
parallelogram is formed using A, B, C, D in any order as vertices.
Answer: c, b, a, d
Step-by-step explanation: that is correct
help this is like the lasf oms
Answer:
678
86
8
Step-by-step explanation:
The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?
Answer:
40
Step-by-step explanation:
First let x represent the first number.
Let 2x represent the second number.
Let 2x-16 represent the third number.
x + 2x + 2x-16 = 84
5x -16 = 84
5x = 84 + 16
5x = 100
Divide both sides of the equation by 5 so that x can stand alone.
[tex]\frac{5x}{5} = \frac{100}{5}[/tex]
x = 20
∴ First number = x = 20
Second number = 2x = 40
Third number = 2x - 16 = 24
Solve for x. 9^x = sqrt 729 A.)1/4 B.)1/3 C.)3/4 D.)3/2 please help this is urgent!!!
Answer:
D
Step-by-step explanation:
Using the law of radicals/ exponents
[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]
Consider the right side
[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Thus
[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]
Since the bases on both sides are equal, equate the exponents, so
x = [tex]\frac{3}{2}[/tex] → D
What is the solution to.
R. Linda capital amount on january 1st was 151600 and there was an additional investment of 7600 on may 12 and withdrawls of 37900 for the year. Net income for the year was 24250. Prepare a statement of owners equity for the Lindal clinic for the year ended december 31
Answer:
$145,550
Step-by-step explanation:
R. Linda Clinic Statement of Owner's equity for the year ended, December 31.
Particulars
$
Beginning capital
151,600
Add additional
investment 7,600
Add net income
for the year 24,250
__________
183,450
Less drawings 37,900
_________
145,550
__________
Capital, December 31 (Ending capital )
The amount of $145,550 is the total owner's equity for the company.
Can someone please help me I need help please help me please help
Answer: just graph these two equations
option a: y = 5x + 10
option b: y = 7.5x
and then tell at what number of event would having a card and not having a card is cheaper.
Step-by-step explanation:
the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value
Answer:
use this hope help you
option a: y = 5x + 10
option b: y = 7.5x
and then tell at what number of event would having a card and not having a card is cheaper.
Step-by-step explanation:
Find the perimeter of a circle whose radius is 3.5cm. (Take pi = 22/7)
Answer:
P = 44
Step-by-step explanation:
The formula for the perimeter (circumference) of a circle is;
C = πd
C = 2πr
C = 2π (3.5)2
C = 2π7
C = 2 * 22/7 * 7
C = 2 * 22
C = 44
Please help answer this fast
Answer:
Its the first answer!
Step-by-step explanation:
1/25, 1/5, 1 trust me on this one! sorry im a bit late!
What is the range of this function?
The range will be the set of all the outputs.
So that's going to be {-8, -3, 5, 7}.
Answer:
{-8, -3 , 5 , 7}Step-by-step explanation:
About domain and Range:Let R be a relation from A to B. Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
Helppp!!!! please!!!
Answer:
Option B is the correct answer
Step-by-step explanation:
Center of the circle lie on point (-1, - 3) = (h, k)
[tex] \implies \: h = - 1 \: \: k = - 3 \\radius \: r \: = 2 \\ equation \: of \: circle \: in \: standard \: form \: \\ is \: given \: as : \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {(x + 1)}^{2} + {(y + 3)}^{2} = {2}^{2} \\ \purple{ \boxed{ \bold{ {(x + 1)}^{2} + {(y + 3)}^{2} = 4}}}[/tex]
if a sum of a number and 3 is multiplied by 4, the answer is the same as the twice the number plus 16. what is the number?
Answer:
2
Step-by-step explanation:
Your formula to find this out looks as follows: 4(x+3)=2x+16
Once you solve this, you’ll find your answer to be 2 and can even do the operation to prove it
Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28
Answer: 24) C. SSS only
26) D. DH = HF
Step-by-step explanation:
24.
Statement Reason
1. BD = CA 1. Given
2. AB = CD 2. Given
3. AD = AD 3. Reflexive Property
4. ΔABD = ΔDCA 4. SSS Congruency Theorem
We have no information about the angles so cannot use SAS Theorem.
26. G H F
E H D
Line up the letters to find the congruent sides:
⇒ GH = EH
HF = HD
GF = ED
n a group of 60 students, 18 students take algebra I, 20 students take Algebra II, and 10 students take both subjects. How many students don’t take either of these subjects?
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820
Answer:
32 students take neither of the subjects
Step-by-step explanation:
If we add the 20+18 we get 38. But 10 of the students are counted twice. So subtract 10 from 38 to get 28. This way each of the students that take both subjects are only counted once. Then, we take the total number of students, 60 and subtract the 28 students taking algebra classes to get 32 students.
Brian invests £2300 into his bank account.
He receives 10% per year simple interest.
How much will Brian have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
2783 pounds
Step-by-step explanation:
He has got 2300. The factor by which that is multiplied is 1,1 (+10%).
The time given is 2 years. We will calculate it by using equation:
[tex]2300*1.1^{2}[/tex]
2783
8.
Two parallel lines are
coplanar.
sometimes
never
always
Answer:
They never touch
Step-by-step explanation:
BEcause they dont touch because they are at a 90 degree angle forever so therefor it will not touch
Find the x-value for point C such that AC and BC form a 2:3 ratio.
A
4
2
B
-3-2
-1
2 3
4
5
6
ou
Answer:
B
Step-by-step explanation: