Answer:
Step-by-step explanation:
Only (a) sum of angles 1 and 2 = 180° is true.
Answer:
a is the best answer
Step-by-step explanation:
mz1+m22=180°
Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.
Mean = Σx / n = 1086000 / 8 = 135750
Median = 1/2(n+1)th term = 8000
The lower quartile :
Q1 = 1/4(n+1)th term
Q1 = 8000
Q3 = 3/4 (n+1)th term
Q3 = 18500
IQR = 18500 - 8000 = 10500
OUTLIER :
8000 - (1.5*(10500)) = - 7750
18500 + (1.5*(10500)) = 34250
10% trimmed mean
10% * 8
Cut off 1 from the top and bottom
Data becomes : 8000, 8000, 11000, 15000, 17000, 20000
Trimmed mean = 13166
por favor ayudaaaaaa
Answer:
D
Step-by-step explanation:
Pitágoras
A^2 = B^2 + C^2
A^2 = 14^2 +5^2
A^2 = 196 + 25
A = √221
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brainlist)
Answer:
tan B = 12 /5
sin B = 12/13
cos B = 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp/ adj = 12 /5
sin B = opp/hyp = 12/13
cos B = adj/hyp = 5/13
Answer:
Sine of B = 12/13
Cos of B = 5/13
Tan of B = 12/5
Step-by-step explanation:
In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
Simon uses 2/3 cup of sugar to bake a cake. How many cups of sugar does he needs to bake 6 cakes?
Answer:
4
Step-by-step explanation:
2/3x6=4
how is the graph of y=4x^(2)+2 different from the graph of y=4x^(2)
Answer:
y=mx+b
Step-by-step explanation:
so that is b right?
that means its what number you start the y on
Please show how you did it so I can learn :)
Answer:
[tex] x_{1} = 3 + \sqrt {6} [/tex]
[tex] x_{2} = 3 - \sqrt {6} [/tex]
Step-by-step explanation:
Given the quadratic equation;
x² - 6x + 3 = 0
To find the roots of the quadratic equation, we would use the quadratic formula;
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 1, b = -6 and c = 3
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the formula, we have;
[tex] x = \frac {-(-6) \; \pm \sqrt {-6^{2} - 4*1*(3)}}{2*1} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - (12)}}{2} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - 12}}{2} [/tex]
[tex] x = \frac {6 \pm \sqrt {24}}{2} [/tex]
[tex] x = \frac {6 \pm 2 \sqrt {6}}{2} [/tex]
[tex] x_{1} = \frac {6 + 2 \sqrt {6}}{2} [/tex]
[tex] x_{1} = \frac {6}{2} + \frac {2 \sqrt {6}}{2} [/tex]
[tex] x_{1} = 3 + \sqrt {6} [/tex]
Or
[tex] x_{2} = \frac {6 - 2 \sqrt {6}}{2} [/tex]
[tex] x_{2} = \frac {6}{2} - \frac {2 \sqrt {6}}{2} [/tex]
[tex] x_{2} = 3 - \sqrt {6} [/tex]
The roots of [tex]10x^2-14x+k[/tex] are sin a and cos a for some real value of a. Compute k.
Answer:
10
Step-by-step explanation:
10x²-14x+k = 0
x1 = sin a
x2= cos a
x1+x2 ≤ 2
x1. x2 ≤ 1 => k/10 ≤ 1
k ≤ 10
so the value of k should be 10
What is the value of Y if x=1
Answer:
y=6
the first equation:
3(1)+y=9
3+y=9
y=6
the second equation:
y= -4(1)+10
y= -4+10
y=6
I hope this helped! :)
Following a strategy of product differentiation, Westwood Corporation (W) makes a high-end kitchen range hood, KE8. W’s data for 2012 and 2013 follow on the next slide.In 2013, W produced no defective units and reduced direct materials usage per unit of KE8. Conversion costs in each year are tied to manufacturing capacity. Selling and customer service costs are related to the number of customers that the functions are designed to support. W has 23 customers (wholesalers) in 2012 and 25 customers in 2013.
Units of KE8 produced and sold 40,000 42,000
Selling Price $100 $110
Direct Materials (sq ft) 120,000 123,000
DM cost per sq ft $10 $11
Manufacturing capacity for KE 850,000units 50,000units
Conversion Costs $1,000,000 $1,100,000
CC per unit $20 $22
Selling & Customer Service capacity 30customers 29customers
Selling & Customer Service Costs$720,000 $725,000
Cost per customer$24,000 $25,000
Required:
(1) Describe elements you would expect to see in W’s BSC.
(2)Calculate the growth, price recovery and productivity components that explain the change in the 2012 to 2013 income. Can you use the worksheet to get the variances?(3) Suppose during 2013, the market size for high-end rangehoods grew 3% and all increases in market share are due to W’s product differentiation strategy. How much of the change in OI is due to the industry market size factor, cost leadership and product differentiation?
(4) How successful was the strategy implementation?
Work out the following calculations and give your answers to the nearest 1000
a) 251 x 638
Answer:
160,000
Step-by-step explanation:
251
× 638
_______________
2008
753
+ 1506
__________________
160138
Product to the nearest thousand = 160,000
Which angle is NOT coterminal with 110 degrees
-250degrees
480degrees
-110 degrees
830 degrees
The width of rectangle is 6 fr less than the lengthThe area of the rectangle is 247f Find the lengthand with of the rectangle
Answer:
i don't know 241 I think sorry
j-27.5=3.9 solve for the variable
Answer:
31.4
Step-by-step explanation
I think
please help me pleaseee!!
Answer:
AOB = 65
DOE = 35
AOC = 90
EOB = 115
DOB = 80
Find the length x (plz help giving BRAINLY)
Answer:
x=3
Step-by-step explanation:
2 triangles are proportional so we have
4/6=x/4,5
--> x=(4.4,5)/6=3
You can also use sin cos but this way is faster
PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
Does the point (3,25) lie on the line y = 6x + 7?
Answer
YesStep-by-step explanation:
Replace x and y
[tex](3 \: \: \: 25)[/tex]
[tex]y = 6x + 7 \\ 25 = 6 \times 3 + 7 \\ 25 = 18 + 7 \\ 25 = 25[/tex]
So, the point (3,25) lie on the line y=6x+7
hope this helps you.
Have a nice day!
1. In two similar triangles, find the ratio of:
b. the perimeter, if the areas are 50cm and 16cm.
Answer:
54cm and 36cm
Step-by-step explanation:
triangle a : triangle b
50cm² : 16cm²
25 : 8
thus,
area of triangle a :
2cm×25cm
=50cm²
area of triangle b :
2cm×16cm
=32cm²
then,
perimeter of triangle a:
2cm+2cm+25cm+25cm
=54cm
perimeter of triangle b:
2cm+2cm+16cm+16cm
=36cm
Get brainiest if right?
The sum of four consecutive numbers is two more than three
times the greatest of these numbers. Find the numbers.
Answer:
1, 2, 3, 4
Step-by-step explanation:
x+(x+1)+(X+2)+(X+3)+2 = 3(X+3)
4X+8=3x+9
x=1
Answer:
5,6,7,8
Step-by-step explanation:
5+6+7+8=26
8*3=24
26-24=2
What is the length of side x? If necessary, round your answer to two decimal places. 19 12
Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x = [tex]\sqrt{217}[/tex]
x = 14.73
help please these questions are kinda hard do i am giving 15 points
9=6y + 33 the answer is y=−4
the next one is x=10
Step-by-step explanation:
Answer:
hope it helped u :)
Step-by-step explanation:
[tex]9 + 6y = 33\\6y = 33 - 9\\6y = 24\\y = 4\\\\\\-4(2-1.2x) = 40\\-8 + 4.8x = 40\\4.8x = 48\\x = \frac{48}{4.8} = \frac{48 \times 10}{48} = 10[/tex]
What two numbers add to 7 and multiply to -44
Answer:
The numbers are 11 and -4
Step-by-step explanation:
Given
Let the two numbers be [tex]x[/tex] and [tex]y[/tex]
such that:
[tex]x + y = 7[/tex]
[tex]x*y = -44[/tex]
Required
Find x and y
Make y the subject in: [tex]x + y = 7[/tex]
[tex]y = 7 - x[/tex]
Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]
[tex]x(7-x) = -44[/tex]
Open bracket
[tex]-x^2 +7x = -44[/tex]
Rewrite as:
[tex]x^2 -7x -44=0[/tex]
Expand
[tex]x^2 +4x-11x -44=0[/tex]
Factorize
[tex]x(x +4)-11(x +4)=0[/tex]
Factor out x + 4
[tex](x -11)(x +4)=0[/tex]
Solve for x
[tex]x =11; x =-4[/tex]
Recall that:
[tex]y = 7 - x[/tex]
So:
[tex]y = 7-11 = -4[/tex]
or
[tex]y = 7--4 = 11[/tex]
A triangle has sides with lengths of 11 inches, 15 inches, and 18 inches. Is it a right triangle?
Answer:
No
Step-by-step explanation:
Answer: its not right triangle
Step-by-step explanation: no becauce [tex]11^2+15^2\neq 18^2=> 346\neq 324[/tex]
How many significant figures are there in the number 10.8?
A. 4
B. 2
C. 3
D. 5
Hope this helps. Sorry for wrong answers
Answer:
C = 3
Can someone help me with this
Answer:
the awnser is A i was just studing about it
The defensive coaches had hoped that the average number of tackles of the opponent’s QB would increase during the game in a distribution of 15% of the tackles in the first quarter,15% in the second,30% in the third, and 40% in the fourth. The mean number of tackles for the 2007 season was as follows: 37, 35, 73, 40. Did the mean sacks per game fit the desired distribution? Let a = 0.10.
A triangle has sides with lengths of 12 yards, 16 yards, and 20 yards. Is
it a right triangle? Yes or No
solution to 3/x + 2/(x+1) = 3/5x?
9514 1404 393
Answer:
x = -6/11
Step-by-step explanation:
We assume you want the solution to ...
3/x +2/(x+1) = 3/(5x)
Subtracting the term on the right, we get the form f(x) = 0.
[tex]\displaystyle\frac{3}{x}+\frac{2}{x+1}-\frac{3}{5x}=0\\\\\frac{15-3}{5x}+\frac{2}{x+1}=0\\\\\frac{12(x+1)+10x}{5x(x+1)}=0\\\\22x+12=0\quad\text{numerator must be zero}\\\\x+\frac{6}{11}=0\quad\text{divide by 22, simplify}\\\\\boxed{x=-\frac{6}{11}}[/tex]
_____
If you really intend 3/x +2/(x+1) = (3/5)x as you have written, the solution is 3 irrational values for x. I find a graphing calculator a convenient way to find them.
A special offer at the grand opening of a new theater has tickets discounted at 8%.
If the tickets sell for $12, how much will you pay after the discount?
Answer:
you would pay $11.04
Step-by-step explanation:
$12 x .08= .96
$12 - 0.96 = $11.04
Answer:
11.04
Step-by-step explanation:
So, a ticket cost 12$.
We need to find the price when it of 8% off, whihc is tecnically 92% of the orginal price.
Putting this into decimal form:
0.92
So to find this price, we need to multiply the orginal price by the percentage:
12*0.92
0.02*12 is 2*24 adding 2 decimals which equals 0.24
0.9*12 is 12*9 adding 1 deecimal which equals 10.8
Add them together: 0.24+10.8 = 11.04
So 11.04 is our new cost.
Hope this helps!
