Answer:
The equation is in standard form
Step-by-step explanation:
Hope this helps
Write the third column of the matrix as a linear combination of the first two columns, if possible. (If not possible, enter IMPOSSIBLE on both answer blanks.) 1 2 15 7 8 57 6 5 34
Answer:
Elements in third column = - (elements in the first column) + 8(elements in the second column)
Step-by-step explanation:
A matrix is a rectangular array in which elements are arranged in a rows and columns.
Order of a matrix = Number of rows × Number of columns
Given matrix is [tex]\left[\begin{array}{ccc}1&2&15\\7&8&57\\6&5&34\end{array}\right][/tex]
Here,
[tex]15=-1+8(2)\\57=-7+8(8)\\\34=-6+8(5)[/tex]
So,
Elements in third column = - (elements in the first column) + 8(elements in the second column)
The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
1.36
1.70
2.50
0.45
1.18
0.64
3.46
0.57
2.00
0.80
1.60
0.98
0.36
2.24
4.35
0.62
2.70
1.78
1.53
0.84
Required:
a. Compute the population mean and population standard deviation for the regional cigarette taxes.
b. The population standard deviation is σ=_______
c. Interpret the parameters in​ (a).
1. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
2. The population mean is the most common regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
3. The population standard deviation is the average amount of regional cigarette tax. The population mean represents the amount of spread in the regional cigarette tax around the standard deviation.
4. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the mean.
Answer:
(a) [tex]\bar x= 1.583[/tex] -- Population Mean
(b) [tex]s = 1.032[/tex] --- Population standard deviation
(c) See Explanation
Step-by-step explanation:
Given:
Cigarette tax for 20 regions
Solving (a): The population mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]
[tex]\sum x = 31.66[/tex]
[tex]n = 20[/tex]
So, we have:
[tex]\bar x= \frac{31.66}{20}[/tex]
[tex]\bar x= 1.583[/tex]
Solving (b): The population standard deviation
This is calculated as:
[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]
[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]
[tex]\sum (x -\bar x)^2 = 21.29222[/tex]
So:
[tex]s = \sqrt{\frac{21.2922}{20}[/tex]
[tex]s = \sqrt{1.06461}[/tex]
[tex]s = 1.032[/tex]
Solving (c):
Population mean tells the average amount while the standard deviation represents the spread from the calculated mean
Option (4) is correct
Help plzzz!! Marking most Brainly;)
Answer:
D it
Step-by-step explanation:
We have two equations, A quadratic and a linear equation.
The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.
Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.
[tex]b {}^{2} - 4ac [/tex]
[tex] { - 6}^{2} - 4(1)(8.75)[/tex]
[tex]36 - 35 = 1[/tex]
The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve
If you graph the equation, it intercepts at two positve roots so it is D
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300.
Represent the data on the quantity sold using using matrix.
Answer:
its latter A
Step-by-step explanation:
i hope its help
Translate the word problem below into an equation men bove,
Lyle was a careful craftsman, but he wasn't very creative, For example, he only sold two types of
wooden benches stained and unstained. The unstained benches cost $20 each and the stained cost $32
each. If Lyle sold 21 benches last month (stained and unstained combined) and collected a total of $600,
how many unstained benches did he selle
Answer:
Step-by-step explanation:
u and s are the number or unstained and stained benches sold, respectively.
Lyle sold 21 benches for $600
u + s = 21
s = 21-u
20u + 32s = 600
20u + 32(21-u) = 600
-12u = -72
u = 6
Lyle sold 6 unstained benches.
What is the diameter or the radius?
Please help
Answer:
Radius, Diameter and Circumference
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
:)
Answer:
Radius = 8.7 cm
Step-by-step explanation:
The height and hypotenuse of the triangle is provided, so all we have to do is use the Pythagorean Theorem. [tex]\sqrt{15^{2}-12.2^{2}}[/tex] and this yields the answer.
On your paper, construct a rectangle on a coordinate plane that satisfies these criteria.
• The sides of the rectangle are either vertical or horizontal.
• The perimeter of the rectangle is 42 units.
• Each of the vertices lies in a different quadrant.
What are the coordinates of the vertices of your rectangle? Explain how you know the perimeter of your rectangle is
42 units
Answer:
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
Step-by-step explanation:
Required
[tex]Perimeter = 42[/tex]
Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.
First, name the rectangle ABCD.
Such that:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_2,y_2)[/tex]
[tex]C = (x_3,y_3)[/tex]
[tex]D = (x_4,y_4)[/tex]
For the rectangle to be either horizontal or vertical, then:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
We have that:
[tex]Perimeter = 42[/tex]
Replace perimeter with its formula
[tex]2(AB + BC) = 42[/tex]
Divide both sides by 2
[tex]AB + BC = 21[/tex]
This implies that, the distance between adjacent sides (through the edges) must be equal to 21
Having said that: a set of coordinates that satisfy the given conditions are:
[tex]A = (5,3)[/tex] -- First quadrant
[tex]B = (-5,3)[/tex] -- Second quadrant
[tex]C = (-5,-8)[/tex] -- Third quadrant
[tex]D = (5,-8)[/tex] -- Fourth quadrant
The above quadrants satisfy the condition:
[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]
HOW TO KNOW THE PERIMETER IS 42
To do this, we simply calculate the distance between the edges and add them up
Distance is calculated as:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (5,3)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For BC
[tex]B = (-5,3)[/tex]
[tex]C = (-5,-8)[/tex]
[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
For CD
[tex]C = (-5,-8)[/tex]
[tex]D = (5,-8)[/tex]
[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]
For DA
[tex]D = (5,-8)[/tex]
[tex]A = (5,3)[/tex]
[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]
So, the perimeter is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 10 + 11 + 10 +11[/tex]
[tex]P = 42[/tex]
See attachment for rectangle
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675 with a level of significance level of 0.01. Which test would you use and why?
a. Z-test of a population mean.
b. T-test of population mean.
c. Z-test of population proportion.
d. t-test of a population proportion
Answer:
a. Z-test of a population mean.
Step-by-step explanation:
The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.
Population mean or proportion?
Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.
find c and round to the nearest tenth. thank you in advance
Answer and Step-by-step explanation:
90ft = a
55ft = b
50ft = c
Plug into equation.
[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]
29.4° is the answer.
Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers
Answer:
Number = 857674.35
Step-by-step explanation:
Translating the word problem into a numerical format;
Eight hundred and fifty two thousand = 852,000
Six hundred and seventy four = 674
Thirty five hundredths = 35/100 = 0.35
Now, we would add all of the values together.
Number = 852,000 + 674 + 0.35
Number = 857674.35
A line segment can intersect a regular hexagon in ________?
1. eight points
2. two points
3. six points
4. four points
Find the whole. 215% of what number is 172
(x-4)^2=25 by taking the square root
Answer:
x = -1, 9
Step-by-step explanation:
[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]
x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)
x - 4 = 5
x = 9
or
x - 4 = -5
x = -1
x = -1, 9
What is 643 divided by 8.4?
Hi there!
643*8.4=76.5476190476
What is the y-intercept of the line?
Answer:
y=1/2x+2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
y intercept is 2
and slope is rise /run
taking points (0,2) and (2,3)
we get slope= 3-2/2-0=1/2
we know the eqaution is y=mx+b where m is the slope and b the y intercept
so y=1/2x+2 which is A/ the first one
if my answer helps please mark as brainliest
The spinner is divided into 4 equal parts: yellow (Y), green, (G), blue (B) and red (R). Dorian says that if you spin the spinner twice, then there are exactly 12 possible outcomes. he lists the outcomes in a table. Which statement explains Dorian’s mistake?
Answer:
The spinner can land on the same color twice in a row, so there should be 16 possible outcomes
Step-by-step explanation:
4 possible outcomes with the same color
RR, OO, GG and BB.
Total Ways = 12+4=16
Rectangles HIJK and WXYZ are similar.
Help ❤️
Answer:
m/3=2/5
Step-by-step explanation:
Find the missing side length. Round to the nearest tenth.
Can someone PLEASE HELP!!
Answer:
the answer is 17.0 or just 17
Step-by-step explanation:
you have to use the pythagorean theorem, a^2 + b^2 = c^2
a = 11 and b = 13
11^2 + 13^2 = c^2
121 + 169 = c^2
290 = c^2
square root each side, so you have to find the square root of 290 which is 17.0293864
round it to the nearest tenth which is 17.0 but you can just write 17
hope this helps you understand it and answer it :)
Answer:
[tex]\boxed {\boxed {\sf c \approx 17.0}}[/tex]
Step-by-step explanation:
This is a right triangle because of the small square in the corner. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs and c is the hypotenuse.
In this triangle, 11 and 13 are the legs because they make up the right angle. The missing side is the hypotenuse because it is opposite the right angle.
[tex]a=11\\b= 13[/tex]
[tex](11)^2+(13)^2=c^2[/tex]
Solve the exponents.
11²= 11*11=12113²= 13*13=169[tex]121+169=c^2[/tex]
Add.
[tex]289=c^2[/tex]
We are trying to solve for c, so we must isolate the variable. It is being squared. The inverse of a square is the square root, so take the square root of both sides.
[tex]\sqrt {289}= \sqrt {c^2}[/tex]
[tex]17.0293864=c[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 0 in the tenth place.
[tex]17.0 \approx c[/tex]
The missing side is approximately 17.0
Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i).
1 1 - i
_____ * _____
1 + i 1 - i
Answer:
= 1/2 - 1/2i
Step-by-step explanation:
PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!
How much would you need to deposit in an account each month in order to have $40,000 in the account in 8 years? Assume the account earns 3% annual interest compounded monthly.
Answer:
$166666.67Step-by-step explanation:
$40000 = amount after 8 years time = 8 years interest = 3%principle amount = ?? ( p )$40000 = (( p ) × 3 × 8 )÷100p = (40000 × 100) ÷ ( 3 × 8 )p = $166666.67MARK ME AS BRAINLISTCongruent or not congruent?
Answer:
Congruent
Step-by-step explanation:
Hope that helps!
What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane
•9
•12
•14
•15
Answer:
15 units
Step-by-step explanation:
[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]
[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]
[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]
Hope it helps....
what is the solution of 4 + √ 5x + 68 = x + 10
Answer:X=3
Step-by-step explanation: Option B
HURRY
1.3(2x + 4) + 2(3x – 4)
2. Evaluate the expression for x=5
Answer:
According to my evaluations this equation is very petty and most likely has an answer. There are variables and numbers "3x". This part of the equation makes me feel special because 3 is a prime number. It is also mysterious because we dont know for sure what x is. This equation teaches the mathematician the true meaning of life. As it demonstrates the complexity, the information you know for sure and the information that you will learn in the future. The reader will also learn that not all problems can be solved and the ones that can be solved should be solved with varying difficulty. Finally the individual will realize that everyone has their own method to solve problems and go about life. In conclusion, this pretty equation teaches the mathematician about the importance of hard work and acceptance of everyone in their community.
Answer:
8.6x-2.8
Step-by-step explanation:
Also i feel like ik u from school or something.
There was this girl who had the exact last name and first name
If y varies directly as x and y =6 when x =2 ... find y when x=9
Answer:
27
Step-by-step explanation:
y = kx, where k is the constant of proportionality. If x = 2 and y = 6, that constant is determined as follows:
6 = k(2), or k = 3. Then y = 3x. When x = 9, y = 27
Solve the equation x-20.7=9.5 for x
What is (2, 4) and (5, −2) in point-slope formula to slope-intercept form
Answer:
Here ig
Step-by-step explanation:
A horizontal slice of the rectangular prism below is made. The slice is parallel to rectangle. Which of these statements are true? Choose all that correct
De acuerdo a la siguiente imagen, selecciona la opción que muestre la operación que permite llegar al número encerrado en color rojo.
Answer:
2?
Step-by-step explanation:
I think im wrong/ creo que estoy mal?!
