Answer:
2
Step-by-step explanation:
y
Please help meeeee! I’m stuck
Answer:
x = 12
Step-by-step explanation:
(8x - 1) + (3x + 4) + (3x + 9) = 180 degrees
14x + 12
180 - 12 = 168
14x = 168
/14 | /14
x = 12
Top left angle: (8x - 1)
8*12 - 1
96 - 1
= 95
Sorry! gtg I hope this helps!
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
Answer:
The volume of the cylinder is 367.6 M^3
Step-by-step explanation:
Mathematically, we have the volume of a cylinder calculated as follows;
V = pi * r^2 * h
r is the base radius given as 3 m
h is the height given as 13 m
So, we have the volume as;
V = 22/7 * 3^2 * 13 = 367.6 M^3
Answer:
367.6 m³
Step-by-step explanation:
h=13 r=3 identify variables
V= πr² h use volume of a cylinder formula
V=π(3)²(13) substitute variables into formula
V= 367.56634047 multiply
V=367.6 m³ round to the nearest tenths place
A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.
Answer:
(i) The estimated regression equation is;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X
(ii) The estimated earnings for the company is approximately $4.7096 million
(iii) The standard error of estimate is approximately 29.34
The high standard error of estimate indicates that individual mean do not accurately represent the population mean
(iv) The coefficient of determination is approximately 0.57925
The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]
(i) From the data, we have;
The regression equation can be presented as follows;
[tex]\hat y[/tex] = b₀ + b₁·x
Where;
b₁ = The slope given as follows;
[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]
b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]
From the data, we have;
[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05
[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259
[tex]\overline y[/tex] = 4.2
[tex]\overline x[/tex] = 41.5625
∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005
b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69
Therefore, we have the regression equation as follows;
[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X
The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales
(ii) For the small company, we have;
X = $50.0 million, therefore, we get;
[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096
The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million
(iii) The standard error of estimate, σ, is given by the following formula;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]
Where;
n = The sample size
Therefore, we have;
[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]
The standard error of estimate, σ ≈ 29.34
The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean
(iv) The coefficient of determination (R Square) is given as follows;
[tex]R^2 = \dfrac{SSR}{SST}[/tex]
Where;
SSR = The Sum of Squared Regression ≈ 21.9884
SST = The total variation in the sample ≈ 37.96
Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925
The coefficient of determination, R² ≈ 0.57925.
Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925
The center of the circle is G. Below is a student's work to find the
value of x. Explain the error and find the correct value of x.
Answer:
The error are
1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]
2) The assumption that [tex]m \widehat{BC}[/tex] = 90°
The vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'
x = 5
Step-by-step explanation:
From the drawing of the circle, we are given;
AD = A diameter of the circle
∴ [tex]m \widehat{ACD}[/tex] = 180°
By angle addition postulate, we have;
[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
By substitution property of equality, we have;
180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]
[tex]m \widehat{AB}[/tex] = 5·x°
[tex]m \widehat{BC}[/tex] = Not given
[tex]m \widehat{CD}[/tex] = 15·x°
However;
[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]
∴ [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°
[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°
15·x° = (16·x - 5)°
∴ 5 = 16·x° - 15·x° = x
x = 5
[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)
[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°
[tex]m \widehat{BC}[/tex] = 80°
The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.
Help please not sure what it can be!
Angle Measures and segment lengths. Find x.
I hope this helps you
8^2=4.(4+x)
64=4.(4+x)
16=4+x
x=12
plzzz help square paralellogram
Answer:
1. x=12
2. x=7
Step-by-step explanation:
15
Decide whether each expression simplifies to a number less than-1, greater than 1, or
Neither
neither. Mark an X in the correct column for each expression.
Greater than 1
Less than -1
Expression
-7+ (-4)
-(3 ÷ 2)
(-5) ÷ (-3)
(-9) - 6
Answer:
less than -1
less than -1
greater than 1
greater than 1
Step-by-step explanation:
[tex] - 7 + - 4 = - 7 - 4 = - (7 + 4) = - 11[/tex]
LESS THAN -1
________________________________
[tex] - ( \frac{3}{2} ) = - (1.5) = - 1.5[/tex]
LESS THAN -1
________________________________
[tex] \frac{( - 5)}{( - 3)} = \frac{5}{3} = 1.66..[/tex]
GREATER THAN 1
________________________________
[tex]( - 9) - 6 = - 9 - 6 = - (9 + 6) = - 15[/tex]
LESS THAN -1
________________________________
pls help me with this problem
Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
12. Find m please help.
Answer:
m<ADE = 59°
Step-by-step explanation:
Each angle of a rectangle = 90°
Therefore:
m<ABE + m<CBE = 90°
(4x + 15)° + (13x + 7)° = 90°
Solve for x
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 90 - 22
17x = 68
x = 68/17
x = 4
✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:
m<ADE = m<CBE
m<ADE = (13x + 7)° (Substitution)
Plug in the value of x
m<ADE = 13(4) + 7
m<ADE = 52 + 7
m<ADE = 59°
trent is filling up a 15 gallon pool.If 1 gallon is about 3.79 liters,how many liters will fill up this pool?
Answer: 56.85
Step-by-step explanation:
So, what you have to do is multiply 15 x 3.79=56.85.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Yes.
Step-by-step explanation:
If you change nothing but the angle and positioning of the original shape, then it is congruent.
use the substitution method to solve
3x + 2y=12
y=2x -1
Answer:
1. y=2
2. y= - 2
Step-by-step explanation:
Thats my answer hope it helps
Answer:
the solution is : (2 , 3)
Step-by-step explanation:
hello : here is an solution
3x + 2y=12.....(*)
y=2x -1.....(**)
put the value for y in (*) :
3x + 2(2x-1)=12
3x+4x-2 = 12
7x =14
so : x =2
but : y=2x -1
y =2(2)-1 = 3
the solution is : (2 , 3)
Which function produces an output of 5 for an input of -6?
A.f(x) = x + 1
B.f(x) = 2x + 4
C.f(x) = x - (-1)
D.f(x) = -x - 1
Answer:
The answer is D
Step-by-step explanation:
Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)
In a survey at a local university, 43% of students say that they get less than the recommended eight hours of sleep per night. In a group of 3500 students, how many would you expect get eight or more hours of sleep per night?
Answer:
1995
Step-by-step explanation:
Percent of students that get more than 8 hours of sleep = 100 -43 = 57%
Number of students that get more than 8 hours of sleep = 57% x 3500
0.57 x 3500 = 1995 students
throws?
8) A different weatherman is found to be correct 55% of the time. If he gives 300 forecasts how many times will he NOT be
correct?
I’ll give Brainly est help
Answer:
B. 25
Step-by-step explanation:
i need an answer to this with workings
pls type it if ur answering..cos file links aren't working
Expand (a-b)^7
Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Look at screen shot below
----------------------------------------------------------
Answer:
1st option is the correct answer
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
Complete the function table and write the function rule.
The function rule is f(x) = x - 12 and the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
Completing the function table and write the function rule.From the question, we have the following parameters that can be used in our computation:
Input(x) Output(y)
32 20
14 2
? −6
-2 -14
-10 ?
The slope is calculated as
m = (2 - 20)/(14 - 32)
m = 1
So, the equation is
y = mx + c
Using the points, we have
1(32) + c = 20
Evaluate
c = -12
So, we have
f(x) = x - 12
Using the above function, we have the following function values
f(-10) = -10 - 12 = -22
x - 12 = -6
x = 6
So, the complete table is
Input(x) Output(y)
32 20
14 2
6 −6
-2 -14
-10 -22
Read more about linear relation at
https://brainly.com/question/30318449
#SPJ1
Solve for x. logo(x-3) = 2
Answer:
x=5
Step-by-step explanation:
5-3=2
Danielle ran the first
Of a 6-mile race. How many miles did she run?
Answer:
1 1/5 miles or 1/2 miles
Step-by-step explanation:
1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles
The first 3 common denominators of 1/12and 1/4 are
Suppose $67,050 is divided into two bank accounts. One account pays 6% simple interest per year and the other pays 1%. After seven years there is a total of $15,000 in interest between the two accounts. How much was invested into the bank account that pays 1% simple interest. (Rounded to the nearest cent)?
A. $55,455.56
B. $44,451.55
C. $37,602.90
D. $29,447.10
Step-by-step explanation:
i think the answer is C
What is 1 + ( -2/3) - ( -9/2)
Answer
29/6 or 4 5/6
Step-by-step explanation:
1. Find a common denominator
2. Common denominator is 6 Remember - multiply by a - gives you a positive.
3. Rewrite 6/6 -4/6 +27/6
4. Add the numerators together to get 29
5. Answer is 29/6 or as a mixed number 4 5/6
What is the following difference?
11 inverse 45 -4 inverse 5
Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?
A) 6
B) 18
C) 48
D) 54
Answer:
B) 18
Step-by-step explanation:
6 out of 18 is 6/18 = 1/3
1/3 x 54 = 18
.
Mary bought an antique vase to display her flowers like the one pictured below.
The vase has a radius of 1.5 inches and a height of 7 inches. If she wanted to wrap the vase for safe storage, which value best represents the total surface area?
65.97 inches square
14.14 inches square
80.11 inches square
10.5 inches square
Number 24! Please I really need it!
Answer:
Step-by-step explanation:
since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore ∠2 ≈ ∠3
:)
I WILL NOT ACCEPT LINKS! AND WILL REPORT!!! Please help with this geometry question. An explanation would be nice!
ON=5.099
Hope it helps