Answers
==========================================
Explanation:
Multiply the numbers up top to get 1 times -3 = -3
Do the same for the numbers underneath: 2 times 4 = 8
The final answer is the fraction -3/8
The fraction cannot be reduced further. Why not? Because 3 and 8 don't have any factors in common other than 1.
If you need to convert to decimal form, use long division or a calculator to find that -3/8 = -0.375
Solution :
[tex] \rightarrow \frac{1}{2} \times \frac{ - 3}{4} [/tex]
[tex] \rightarrow \: \frac{1 \times - 3}{2 \times 4} [/tex]
[tex] \rightarrow\frac{ - 3}{8} [/tex]
hope it helps you !!
( ╹▽╹ )
Related Questions
Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.
Answers
Answer:
The responses to the given can be defined as follows:
Step-by-step explanation:
For point a:
fixing probability vector that is [tex]W = [a b c][/tex]
[tex]\therefore[/tex]
relation: [tex]WT =W[/tex]
[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]
solving the value:
[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]
Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]
For point b:
[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]
[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.
solve the equation for
x 3/4(x+21) = 10.5
x =
Answers
✽✽✽✽
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]
[tex]3x=42\left(x+21\right)[/tex]
[tex]3x=42x+882[/tex]
[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]
[tex]3x-42x=42x+882-42x[/tex]
[tex]-39x=882[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]
[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]
[tex]x=-\frac{294}{13}[/tex]
❅❅❅❅❅❅❅❅❅❅
hope it helps...have a great day!!Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answers
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
PLEASEEE HELP I WILL MARK BRAINLIESTTTT!!! (NO LINKS)
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answers
Given:
The data set is:
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
To find:
The box plot for the given data set.
Solution:
We have,
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
Arrange the data in ascending order.
18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38
Divide the data in two equal parts.
(18, 19, 20, 21, 24, 25, 26), 27, (30, 31, 32, 33, 36, 36, 38)
Divide each parenthesis in two equal parts.
(18, 19, 20), 21, (24, 25, 26), 27, (30, 31, 32), 33, (36, 36, 38)
Now, the five number summary of the given data set is:
Minimum value = 18
First quartile = 21
Median = 27
Third quartile = 33
Maximum value = 38
Therefore, the required box plot for the given data set is shown below.
Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515 inches, find the length of chord \displaystyle \overline{AB} AB .
Answers
Answer:
18 inches
Step-by-step explanation:
Given
[tex]r = 15in[/tex] --- radius
[tex]h = 12in[/tex] --- distance between chord and the center of the circle
Required
The chord length
See attachment for illustration
First, calculate distance AX using Pythagoras theorem.
[tex]AO^2 = AX^2 + OX^2[/tex]
This gives:
[tex]15^2 = AX^2 + 12^2[/tex]
[tex]225 = AX^2 + 144[/tex]
Collect like terms
[tex]AX^2 = 225 - 144[/tex]
[tex]AX^2 = 81[/tex]
Take square roots of both sides
[tex]AX = 9[/tex]
AB is then calculated as:
[tex]AB= AX + XB[/tex]
Where:
[tex]AX=XB =9[/tex]
So:
[tex]AB = 9 + 9[/tex]
[tex]AB = 18[/tex]
In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *
A. 16
B. 32
C. 48
D. 66
Answers
Answer:
A) 16
Step-by-step explanation:
∠PQR and ∠TQS are vertical, meaning they equal each other
set up your formula as
3x+18=66
3x=66-18
3x=48
x=48/3
x=16
Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)
Answers
Answer:
[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]
[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]
someone PLEASE HELP!!!
answer explanation = brainliest, 5 star rating
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is ___ times the volume of the original cube.
Answers
Answer:
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.
Answer:
the volume of cube diladet
9375_______
Helllllllloooppppppp pls . *
Answers
Answer:
It's 46
Step-by-step explanation:
Because 90-44 it's 46
what is the answer to −5/12−3/10
Answers
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
Find the distance between the points (1, 4) and (- 2, - 1).
Answers
5.83
Use the distance formula i attached an example of another problem same formula different numbers, you can use it for future reference just switch out the points and you’ll have your answer
Dominic says the approximate volume
of the sphere below is 85.33 cm3.
Find the correct approximate volume,
using 3.14 for p. Round to the nearest
hundredth. What was Dominic’s
likely error? (The radius is 4.)
Answers
Answer:
V = 267.95 cm^3
Dominic forgot to multiply by the approximation for pi
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 ( 3.14) (4)^3
V = 267.946666666
Rounding to the nearest hundredth
V = 267.95 cm^3
If you do not multiply by the approximation for pi
V = 85.3333333pi cm^3
Dominic forgot to multiply by the approximation for pi
find the value of (256)-3/4
help with steps pls
Answers
Answer:
Step-by-step explanation:
(256)-3/4
=256*-3/4
=-768/4
=-192
What's the solution to 3x – 6 < 3x + 13? A) x > 5 B) All real numbers C) There are no solutions. D) x < –5
Answers
Answer:
C) there are no solutions
Step-by-step explanation:
3x-6<3x+13
3x<3x+19
0<19
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
720
Step-by-step explanation:
This is a permutation of 10 choose 3
10 ! 10!
----- = ------------ = 10*9*8 = 720
(10-3)! 7!
Lilly went shopping with her mother. She took $48.95 with her to spend. She spent $23.57 at one store. How much money did she have left?
Answers
Answer:
Difference= $25.28
Step-by-step explanation:
Giving the following information:
She took $48.95 with her to spend. She spent $23.57 at one store.
To calculate the money she has left, we need to use the following formula:
Difference= total amount of money - money spent
Difference= 48.95 - 23.57
Difference= $25.28
The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?
Answers
Answer:
2,000 cubic centimeters
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
[tex]v = \frac{b}{p}[/tex]
where b = constant of proportionality
5000 = b / 200
b = 5000 x 200 = 1,000,000
v = 1,000,000 / 500
v = 2000
Annora bought a box of cookies that matches the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number, round to the nearest tenth. Help pls
Answers
-5+9j=67
Please help me with math!
Answers
Answer: j=8
Step-by-step explanation: first, add 5 to both sides. You now have 9j = 72. Then divide each side by 9. You now have j=8
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answers
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
let me know if you can help
Answers
Answer:
You S,tupid
Step-by-step explanation:
How long is a pencil the nearest inch and to the nearest centimeters?
Answers
Answer:
A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.
The question says to the nearest inch. Therefore we have to approximate to to a whole number.
7.5, when rounded up to the nearest number, is 8 inches.
Hence, the answer is 8 inches or 19 centinmeters.
Cheers
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
Answers
Explanation:
Earlier it said the first sandbox has a SQUARE base and its side length is 8 feet. Its asking for the area of the square base, so follow this formula:
Side length^2
In this case is:
8^2 = 64
MARK ME BRAINLIEST TYSM
Have a nice day (*^ω^*)
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
To know more about an area follow
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If AB is parallel to CD and the slope of CD is-5, what is the slope of AB?
O A.
01
B.
1
C. -5
D. 5
Answers
Answer:
C. -5
Step-by-step explanation:
If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.
Slope of line AB parallel to CD is -5
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
Given,
AB is parallel to CD
Slope of CD m = -5
When two lines are parallel
their slopes are same
m' is slope of AB
then
m' = m
m' = -5
Slope of AB is -5.
Hence, -5 is slope of line AB.
Learn more about slope here:
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Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?
Answers
Answer:
Option B is correct
Step-by-step explanation:
The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.
Hence, option B is correct
differentiation of 1 by root x
Answers
Answer:
Here is Your answer!!!!
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
Answers
A =?
P= 9456
r = 6% = 0.06
t = 5 yrs
Formula
A= P(1+r)^t
A= 9456×1.06⁵
A = 12646.23
the total amount that he had to pay was 12646 rs
I need please it would really help me alot !!
no link or zooms
Answers
Answer:
18.266
Step-by-step explanation:
l WILL GIVE BRAINLIEST......
find the range of X
Answers
Answer:
Step-by-step explanation:
Numbers that is less than 5 like 4,3,2,1,0
Answer:
1>x>-2 or -2<x<1
Step-by-step explanation:
2<3-x<5 (minus 3)
-1<-x<2 (devide by -1)
1>x>-2
Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answers
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
Learn more about continuous compounding interest here:
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