Answer:
y = 115.0977+12.2992X
91.59%
Step-by-step explanation:
Given :
DLH(X) ILE(Y)
20 361_0
25 400
22 376
23 384
20 361_0
19 360
24 427.2
28 458.4
26 450_8
29 475.2
DLH (X) : Direct Labor Hours
ILE (Y) : Indirect Labor Expense
The regression model obtained by fitting the data using technology is :
y = 115.0977+12.2992X
Where ;
Intercept = 115.0977 ;
Slope = 12.2992
The Coefficient of determination, R² gives the proportion of explained variance due to the regression line.
For the data given above, the Coefficient of determination R² obtained using the Coefficient of determination calculator is 0.9159 ; which means that (0.9159 * 100%) about 91.59% of the variation in indirect labor expense is explained by the regression line while 8.41% is due to other factors.
Find the height of the pyramid.
Answer:
7
Step-by-step explanation:
Let the height of pyramid be h
[tex]v = \frac{1}{3} lwh[/tex]
v= 224
w= 8
l= 12
224=1/3(12)(8)(h)
224=32h
h=224/32
h=7
i dont really know how to do this can somebody help?
Answer:
(8, 11π/6)
Step-by-step explanation:
r= √(4√3)²+(-4)² = √48+16=√64=8
0 = tan~¹ -4/(4√3)
= tan~¹ -⅓√3 = 330° = 11π/6
the polar coord. => (8, 11π/6)
9514 1404 393
Answer:
8∠11π/6
Step-by-step explanation:
To simplify the way we talk of this number, we will refer to it as a vector. We'll assume its head is at the given coordinates, and its tail is at the origin. The magnitude of the vector is the root of the sum of the squares of its components:
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(4\sqrt{3})^2+(-4)^2}=\sqrt{48+16}=\sqrt{64}\\\\r=8[/tex]
The angle of the vector with respect to the +x axis is ...
[tex]\theta=\arctan{\dfrac{y}{x}}\qquad\text{a 4-quadrant arctangent}\\\\\theta=\arctan{\dfrac{-4}{4\sqrt{3}}}=-\arctan{\dfrac{1}{\sqrt{3}}}\qquad\text{a 4th-quadrant angle}\\\\\theta=\dfrac{11\pi}{6}[/tex]
In magnitude∠angle notation, the polar coordinates are ...
(4√3, -4) ⇔ 8∠(11π/6) . . . . . θ in radians
_____
Additional comment
Spreadsheets generally have an ATAN2(x, y) function that will return a 4-quadrant version of the angle. The usual ATAN( ) function will give the angle only in quadrants I or IV.
Some graphing calculators may also have the ATAN2 function. Some will simply do the entire conversion for you, without any need to deal separately with magnitude and angle. (You may need to write the number as a complex number, x +iy.)
What is the measure, in degrees, of angle b?
The top angle is the same as the bottom angle, since they are vertically opposite angles.
b+20=40
b=40-20
b=20
It is also 20 degrees.
Answer:
Step-by-step explanation:
angle b+20 degree=40 degree(being vertically oppoite angles)
angle b=40-20
angle b=20
therefore angle b=20 degree.
The following data set shows the times a product failed in a series of tests. What is the range of this data set? {16, 12, 19, 15, 12, 15, 14, 18, 11, 10, 19, 10}
A 9
B 10
C 15
D 19
Answer:
9
Step-by-step explanation:
Highest number is 19 lowest is 10. 19-10 is 9.
I'm working on this equation for my pre-calculus class and I'm stuck. 0.5t = 0.2+ 0.4t
Answer:
t = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
0.5t = 0.2 + 0.4t
Step 2: Solve for t
[Subtraction Property of Equality] Subtract 0.4t on both sides: 0.1t = 0.2[Division Property of Equality] Divide 0.1 on both sides: t = 2Whenever she visits Allenville, Maureen has to drive 48 miles due north from home. Whenever she visits Weston, she has to drive 14 miles due east from home. How far apart are Allenville and Weston, measured in a straight line?
Answer:
34 i belive not 100% sure but what grade level is this
Step-by-step explanation:
The area of a rectangle is 135 square units. Its length measures 9 units. Find
the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
Length = 9 units
Area = 135 square units
Area = Length x Breadth
135 = 9 x Breadth
Breadth = 15units
[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]
[tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]
[tex]Diagonal = \sqrt{306} = 17.49[/tex]
Diagonal = 17.5 units
Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.
Let's assume the width of the rectangle is 'w'.
We know that the area of a rectangle is given by the formula: length × width = area.
So, 9w = 135
Dividing both sides of the equation by 9, we get: w = 15.
Now, we have the length (9 units) and the width (15 units) of the rectangle.
Using the Pythagorean theorem, we can find the length of the diagonal (d):
d² = 9² + 15²
d² = 81 + 225
d² = 306
Taking the square root of both sides, we get:
d ≈ √306 ≈ 17.5
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ4
Brianne earns $20 for 4 hours of babysitting. Which graph shows the relationship between the number of hours and the total amount she earns?
Answer:
Can you insert a picture? and then I could help you.
Step-by-step explanation:
Answer:
Brianne would earn 5 dollars an hour so the graph should look something like this.
please help fast, I will mark BRAINLIEST 10. Find the rule. *
Х
3
Y
5
6
4
6
8
10
O y = x + 1
O y = x + 2
O y = 2x - 1
O y = 2x
Answer:
the answer to the question is y=x+2.
A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approximate the volume of wood used to construct the box. Round your answer to the nearest tenth. brainly
Answer:
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Step-by-step explanation:
Given:
Side of regular pentagonal prism = 1 cm
Height of regular pentagonal prism = 1 cm
Find:
Volume of regular pentagonal prism
Computtaion:
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]a²h
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)](1)²(1)
Volume of regular pentagonal prism = (1/4)[√5(5+2√5)]
Volume of regular pentagonal prism = (0.25)[√5{5+4.472}]
Volume of regular pentagonal prism = (0.25)[√5{9.472}]
Volume of regular pentagonal prism = (0.25)[√47.36]
Volume of regular pentagonal prism = (0.25)[6.8818]
Volume of regular pentagonal prism = 1.72045
Volume of regular pentagonal prism = 1.72 cm³ (Approx.)
Answer:
217.96 or 218.0 in Big Ideas Math
Thanks Harlan for helping me understand this problemStep-by-step explanation:
volume of the whole prism - smaller inner prism
Bigger Prism (apothem = 4, height = 6)
360/5 = 72 72/2 = 36
4 · tan (36) = 2.906
2.906 · 4 = 11.6247
11.6247 · 5 = 58.1234 ← The area of the Pentagon
58 · 6 = 348.740 ← The Bigger Prism Volume
Smaller Prism (apothem = 3, height = 4)
Keep in mind that the bottom, sides, and top of the box is one centemeters thick ⇒ smaller pentagon ⇒ (apothem = 4-1, height = 6 - 2)
3 · tan (36) = 2.1796
2.1796 · 3 = 6.5389
6.5389 · 5 = 32.6944 ← small Pentagon Area
32.6944 · 4 = 130.7777 ← Small Pentagon Prism Volume
Final Step
Area of big prism - small prism
348.74041 - 130.7777 = 217.9627
Round to the nearest tenth ⇒ 218.0
please help 5 points which one
Answer:
A) 9/2x3/8
Step-by-step explanation:
In 15–20, write the number positioned at each point.
Answer:
See below.
Step-by-step explanation:
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
A number line is a horizontal line that has equally spread number increments. The points at A, B, C, D, E and F are
15.) -3.25
16.) -4.5
17.) 1.25
18.) -5.75
19.) 0.5
20.) -2.5
Therefore the points at A, B, C, D, E and F are -3.25, -4.5, 1.25, -5.75, 0.5 and -2.5.
To learn more on Number System click:
https://brainly.com/question/19532363
#SPJ1
Find the area of the shaded region.
Answer:
60.5
Step-by-step explanation:
Enter the correct answer in the box. Write the sum of [tex]7 \sqrt[]{28x^6} + 4\sqrt[]{7x^6}[/tex] in simplest form, if x ≠ 0.
Answer:
18x^3sqrt(7)
Step-by-step explanation:
14x^3sqrt(7)+4x^3sqrt(7); factor our 4 in the first radical and factor out x^6 in both radicals
Add like terms;
18x^3sqrt(7).
if 5,4 and 15 and x are in proportion find the value of x
Find the length of the third side. If necessary, write in simplest radical form.
Let the third side be x :
( 3√5 )^2 = 6^2 + x^2
45 = 36 + x^2
x^2 = 45 - 36
x^2 = 9
x = 3
Wilcox, chief executive officer and chairman of the board of directors, owned 60 percent of the shares of Sterling Corporation. When the market price of Sterling’s shares was $22 per share, Wilcox sold all of his shares in Sterling to Conrad for $29 per share. The minority shareholders of Sterling brought suit against Wilcox demanding a pro rata share of the amount Wilcox received in excess of the market price. a. What are the arguments to support the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? b. What are the arguments to reject the minority shareholders’ claim for a pro rata share of the amount Wilcox received in excess of the market price? c. Which side should prevail?
Answer:
Sterling Corporation
a. Arguments to support the minority shareholders' claim include:
1. If there is a provision to this effect in the Shareholders' agreement,
2. If the minority shareholders can prove that Wilcox oppressed the minority shareholders by selling off his shares in the corporation, and
3. If the Shareholders' agreement forbids Wilcox from selling off his shareholdings.
b. The arguments to reject the minority shareholders' claim include:
1. As the majority shareholder, Wilcox dictates the direction of firm until the sale-off.
2. Wilcox is within his rights to sell his shares to Conrad.
3. Wilcox does not oppress the minority shareholders with the sale to Conrad.
c. Wilcox should prevail. Apparently, he did not act illegally or contrary to agreement.
Step-by-step explanation:
Shareholding of Wilcox (chief executive officer and chairman of the BOD) = 60%, which is > 50%.
Shareholding of Minority shareholders = 40%, which is <50%
Market price per share of Sterling Corporation = $22
Selling price of Wilcox's shares = $29
Excess of the market price = $7 ($29 - $22)
What the correct answer
Its ‘B’
100% sure
Plz mark me brainliest
Express cos K as a fraction in simplest terms
Answer:
Step-by-step explanation:
You don't need to solve for IJ so don't.
Cos(J) = adjacent / hypotenuse
adjacent = 5
hypotenuse = 23
Cos(J) = 5/23
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
The equation of a function
y = 2/3x+1/3 find the value of y
when x = -3
when x = 1 1/2
Answer:
[tex]y = \frac{-5}{3}\\\\y = \frac {4}{3}[/tex]
Step-by-step explanation:
[tex]y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\[/tex]
Please solve fast. I will give Brainleist or whatever it’s called
Answer:
84in
Step-by-step explanation:
84in
The product of b and 3
Answer and Step-by-step explanation:
The product of a two numbers/values is the result of multiplying two numbers/values.
So, multiply b and 3 together.
3b is the answer.
#teamtrees #PAW (Plant And Water)
Need help with question?
Answer:
150
Step-by-step explanation:
15 times 8 = 120
14-8 = 6
6 times 5 = 30
150
Write a variable expression for this amount.
M more than eighteen
Answer:
I understand what you wrote as 18 + M = y. We don't know what M and y are. They are variables. When you add M to 18, it is equal to a value y.
I hope this makes sense. This is the foundation of algebraic thinking.
Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...
Answer:
Decimal:
100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625
Fraction:
[tex]100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}[/tex]
final question of the 9 and with most of the point i can give so people dont pour in
Answer:
A=49 degree
a=13.5
b=11.7
Step-by-step explanation:
Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elements a; b such that a < b and b is a multiple of a.
Answer:
Minimum possible K = 307
Step-by-step explanation:
Attached below is the detailed solution
Given set { 1, 2 , .......... 2022 }
The largest subset will contain prime numbers because they are not multiples of any number but 1
A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?
Answer:
the answer is %25
Step-by-step explanation:
What is the perimeter of a square whose area is 64 square kilometers?
.
A 16 km
B.32 km
c. 64 km
D.256 km