Answer:
The round off values are- 3.14, 6.12, and 4.57 respectively.
Step-by-step explanation:
The given value to which we have to round off is a. 3.14159 b. 6.12356 c. 4.56787
In order to round off the number we must keep in mind that there should be three digits in total and we will increase the value by one if the right-hand side value is more than 5.
Thus round off figure of 3.14159 is 3.14.
The round off figure of 6.12356 is 6.12.
The round off figure of 4.56787 is 4.57.
Solve by graphing. Round each answer to the nearest tenth. 6x2 + 31x = 12
Answer:
-5.5 and 0.4 (first option in your list)
Step-by-step explanation:
Please see attached image where we have graphed the expression [tex]y=6x^2+31x\\[/tex] and the expression [tex]y=12[/tex] and looked for the two points of intersection of the parabola (representing the first expression) with the horizontal line (second expression)
From the graphing we extract that one solution for "x" is approximately -5.5, and the other one around 0.36, which can be rounded to one decimal to: 0.4. then the closest solution is that one shown as the first option in your list.
X and Y are modeled inflation rates, in terms of %, for two different countries at the end of a five-year period. X is uniformly distributed on the interval (0, 10). Y, given X = x is uniformly distributed on the interval (0, x). Calculate Cov(X, Y).
Answer:
The value of Cov (X, Y) is 25/6.
Step-by-step explanation:
It is provided that:
[tex]X\sim U(0,10)\\\\Y|X\sim U(0,x)[/tex]
The probability density functions are as follows:
[tex]f_{X}(x)=\left \{ {{\frac{1}{10};\ 0<X<10} \atop {0;\ \text{otherwise}}} \right. \\\\f_{Y|X}(y|x)=\left \{ {{\frac{1}{x};\ 0<Y<x} \atop {0;\ \text{otherwise}}} \right.[/tex]
Then the value of f (x, y) will be:
[tex]f_{X,Y}(x,y)=\left \{ {{\frac{1}{10x};\ 0<X<10,\ 0<Y<x} \atop {0;\ \text{Otherwise}}} \right.[/tex]
Then f (y) is:
[tex]f_{Y}(y)=\int\limits^{10}_{y} {\frac{1}{10x}} \, dx[/tex]
[tex]=\frac{1}{10}\times [\log x]^{10}_{y}\\\\=\frac{1}{10}[\log 10-\log y][/tex]
Compute the value of E (X) as follows:
[tex]E(X)=\frac{b+a}{2}=\frac{10+0}{2}=5[/tex]
Compute the value of E (Y) as follows:
[tex]E(Y|X)=\frac{b+a}{2}=\frac{x+0}{2}=\frac{x}{2}\\\\\text{Then,}\\\\E(E(Y|X))=E(\frac{x}{2})\\\\E(Y)=\frac{1}{2}\times E(X)\\\\E(Y)=\frac{5}{2}[/tex]
Compute the value of E (XY) as follows:
[tex]E(XY)=\int\limits^{10}_{0}\int\limits^{x}_{0} {xy\cdot \frac{1}{10x}} \, dx dy[/tex]
[tex]=\int\limits^{10}_{0}\int\limits^{x}_{0} {\frac{y}{10}} \, dx dy\\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{y^{2}}{2}}|^{x}_{0} \, dx \\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{x^{2}}{2}}\, dx\\\\=\frac{1}{10}\times [\frac{x^{3}}{6}]^{10}_{0}\\\\=\frac{100}{6}\\\\=\frac{50}{3}[/tex]
Compute the value of Cov (X, Y) as follows:
[tex]Cov (X, Y)=E(XY)-E(X)E(Y)[/tex]
[tex]=\frac{50}{3}-[5\times\frac{5}{2}]\\\\=\frac{50}{3}-\frac{25}{2}\\\\=\frac{100-75}{6}\\\\=\frac{25}{6}[/tex]
Thus, the value of Cov (X, Y) is 25/6.
What is the value oft in the easton below
--3-(-8)-(-2)
Answer:
-13
Step-by-step explanation:
Ali and Steve share some sweets in the ratio 2:7
Steve gets 30 more sweets than Ali.
Work out how many sweets Steve gets.
Answer:
Step-by-step explanation:Let Ali's number of sweets be x
so let Steve's number of sweet be x + 30
hence the equation is x/(x + 30)= 2/7
or, 7x = 2(x + 30)
or, 7x= 2x +60
or,7x-2x=60
or, 5x=60
or, x=60/5
or, x=12
Alif gets 12 sweets
x+30
or, 12+30
=42
Ans:Steve gets 42 sweets.
the theoretical probability choosing a purple marble out of a 2/3 bag is. The bag has 16 purple marbles. How many marbles are in the bag?
Answer:
24 marbles
Step-by-step explanation:
P( purple) = 2/3 = purple/total
2/3 = 16/total
Using cross products
2 * total = 3 *16
2 * total = 48
total = 24
There are 24 marbles
Y+v=w, for V
Please help me
Answer:
v=w/y
Step-by-step explanation:
If w=y+v, and solving for v, then simply just divide both sides by y, and you get v=w/y.
what is fifty five plus seventy two divided by three
Hey There!!~
Answer: 42
Because, 55 + 72 = 127. After you should do 3 ÷ 127. The divisor (3) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Then you should Multiply the divisor by the result in the previous step (3 × 0 = 0) and write that answer below the dividend. After that Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below. Move down the 2nd digit of the dividend in the below. The divisor (3) goes into the bottom number (12), 4 time(s). Therefore, put 4 on top... Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom. Move down the last digit of the dividend in the below. The divisor (3) goes into the bottom number (7), 2 time(s). Therefore put 2 on top, Multiply the divisor by the result in the previous step (3 x 2 = 6) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (7 - 6 = 1) and write the answer at the bottom. The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 127 divided by 3 calculated using Long Division is
Answer: 42 and Remainder 1.
Hope This Helps!!~
[tex]Itsbrazts[/tex]
Hey There!! ~
The answer to this is: 79. Because, First you need to add fiifty five and seventy two which that will be 127 Then, Add fifity five and seventy two Plus, Divide three Then. you should get the answer 79.
Hope It Helps!~ [tex]ItsNobody[/tex]~
Simplify 9v + 9 + v + v when v=5
[tex]11v+9=11\cdot5+9=55+9=64[/tex].
Hope this helps.
Answer:
64
Step-by-step explanation:
9v + 9 + v + v
Combine like terms
11v+9
Let v = 5
11*5+9
55+9
64
can someone help me find this answer?
Answer:
(0, - 23 )
Step-by-step explanation:
Find the equation of the line in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-25}{-36+72}[/tex] = [tex]\frac{-24}{36}[/tex] = - [tex]\frac{2}{3}[/tex] , thus
y = - [tex]\frac{2}{3}[/tex] + c
To find c substitute any ordered pair into the equation
Using (- 54, 13 ) , then
13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept
Thus coordinates of y- intercept = (0, - 23 )
What is the next number in the sequence below.
216, 72, 24,
The next number in the sequence is 8
ONLY NEED TO DO 6, 8, 10, 12, 14.
Answer:
6 = (2,2)8 = (0, -6)10 =(13,-6)Step-by-step explanation:
[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]
6.
[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]
8.
[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]
10.
[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x2 − 1)3, [−1, 2]
Given :
[tex]F(x)=3(x^2-1)[/tex]
To Find :
the absolute minimum and absolute maximum values of f on the given interval
[-1,2] .
Solution :
Now , getting first order differential equation and equating its equal to zero.
[tex]\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0[/tex]
So , x=0 is critical point .
Now , coefficient of [tex]x^2[/tex] is positive .
Therefore , it is increasing function after x=0 .
So , min value will be at , x=0.
[tex]Min = (0^2-1)\times 3=-3[/tex]
And maximum value will be the maximum at the x=2 because it is increasing function .
[tex]Max=(2^2-1)\times 3=9[/tex]
Therefore , max and min value is 9 and -3 respectively .
Hence , this is the required solution .
Over the past several months, the water level of a lake has been decreasing by 3% each week. If the highest water level before the decrease started was 520 ft, what was the level at the end of 8 weeks?
Answer:
y= 407.54654 ft
Step-by-step explanation:
This is an exponential decay functions
y = ab^x where a is the initial value and b is ( 1 - rate of decay)
a = 520
b = 1- 3%
y = 520 ( 1- .3) ^x
y = 520 ( .97) ^x
We want x to be 8 weeks
y = 520 ( .97) ^8
y= 407.54654 ft
A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
punctures the bike's tire. After the bike has moved forward another 56 inches, how high above the ground is the
screw? Round to the nearest tenth of an inch.
O 4 inches
O 8 inches
O 12 inches
O 16 inches
Answer:
16 inches
Step-by-step explanation:
Note: it should say 56π inches instead of 56 inches otherwise no option is correct
Given
Diameter of the wheel = 16 inFull circumference of the wheel
C =πd = 16πBike moves
56πThe wheel turns:
56π /16π = 3.5 timesWe only consider her 0.5 of full turn of the wheel to identify the screw position
Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.
This is the full diameter length, which is 16 inches
So correct answer option is 16 inches
2
How can the additive inverse be used to evaluate the problem below?
Vx
-3-(-6)
Because 3+(-6) is an equivalent expression, the answer is –3.
Because 3+(-6) is an equivalent expression, the answer is 3.
O Because -3+6 is an equivalent expression, the answer is -3.
Because -3+6 is an equivalent expression, the answer is 3.
An additive inverse of a number (x) is a number which when added to x results in being 0.
The given problem is -3 - (-6)
The additive inverse of -6 is 6
-3 -(-6) = -3 + 6 = 3
Communities property: 6-3 = 3
The answer is:
Because -3+6 is an equivalent expression, the answer is 3
I need to transform this into a expression with a rational exponent but how?
Answer:
x^ (21/5)
Step-by-step explanation:
[tex]\sqrt[5]{x ^7}[/tex] ^ 3
Rewriting as a fraction
x ^ 7/5 ^3
We know that a ^b^c = a^ ( b*c)
x ^ ( 7/5 *3)
x^ (21/5)
Answer: That would be x and 21/5 ths
Step-by-step explanation:
Square root of 50, square root of 49, and square root of 63. Order the expressions from least to greatest.
Answer:
[tex] \sqrt{49} \\ \sqrt{50} \\ \sqrt{63} [/tex]
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} = 7.07 [/tex]
[tex] \sqrt{49} = 7[/tex]
[tex] \sqrt{63} = 3 \sqrt{7} = 7.94[/tex]
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed
Answer:
d
Step-by-step explanation:
The speed is the independent variable because when it changes all the others change because it changed
The correct option is D. speed.
Given, As a person increases cycling speed, the rate of calorie burned, distance traveled, and energy also increase.
We have to find the Independent variable.
Since, Calories burned, distance traveled and Energy generated all are dependent on the speed of cycling. As the speed increases calories burned will be more.So speed is the independent variable here and the other variables all are dependent variable.
Hence the correct option is D. speed.
For more details follow the link:
https://brainly.com/question/11897796
what type of number is -1.48298
Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Which measurement is closest to the side length of this canvas in inches? 8 in. 9 in. 19 in. 39 in.
The area of a 2D form is the amount of space within its perimeter. The measure of the side of the canvas is closest to 9 inches. The correct option is B.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Therefore, the area of the canvas will be equal to the area of the fabric. Thus, we can write,
Area of the canvas = Area of the fabric
Since the area is square, therefore,
Area of the canvas = Area of the fabric
Area of the canvas = 77.8 in.²
Side of the canvas = √(77.8 in.²)
Side of the canvas = 8.82 inches ≈ 9 inches
Hence, the measure of the side of the canvas is closest to 9 inches.
Learn more about the Area here:
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#SPJ2
what’s 63.55+31.99+2
Answer:97.54
Step-by-step explanation:
Answer:
97.54
Step-by-step explanation:
1 1
63.55
31.99
+ 2.00
________
97.54
there is a box in your attic with 3 books 4 dolls and 16 candles what is the ratio of candles to books
Answer:
the answer would be 16 to 3 which can also be shown as 16:3
Step-by-step explanation:
this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next
A pollster uses a computer to generate 500 random numbers and then interview the voters corresponding to those numbers. identify the type of sampling used in this example sampling
a. stratified sampling
b. systematic sampling
c. cluster sampling
d. simple random sampling
Answer: D. Simple Random Sampling
Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.
Using sampling concepts, it is found that the correct option is:
d. simple random sampling
Samples are classified as:
Convenient: Drawn from a conveniently available pool. Random: All the options into a hat and drawn some of them. Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed. Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, a random number is generated to select each voter, hence it is a simple random sampling, and option d is correct.
To learn more about sampling concepts, you can take a look at https://brainly.com/question/25122507
What is the measurement of the unknown angle?
Answer:
93 degrees
Step-by-step explanation:
To find the angle, we need to find the angles inside of the triangle. The triangle is formed from the two lines with angles 127 and 146 at the base. It is surrounded by the 127, 146 and the ? angle.
We know that the line at the base is 180, so we need to find the supplementary angles that correspond to 127 and 146.
180-127= 53
180-146=34
We now know the two bottom angles inside the triangle are 53 and 34 degrees. The angles in a triangle always add up to 180 degrees.
180-53-34=93
We know the top angle is 93 degrees. The ? angle is vertical to 93. Vertical angles are always congruent. That means ? is 93 degrees
Answer:
93 degrees
Step-by-step explanation:
Focus on the small triangle at the lower right.
The supplement of the 127 degree angle is (180 - 127) degrees, or 53 degrees. The supplement of the 146 degree angle is (180 - 146) degrees, or 34 degrees.
The interior angles of this small triangle must add up to 180 degrees. The third angle of this small triangle is the "vertical angle" of the unknown angle:
? + 53 + 34 = 180, so: ? = 93
The unknown angle is now known to be 93 degrees.
−6x+14<−28 AND 3x+28≤25
Answer: -1≥ x > 7 or x>7 and x ≤ -1
Step-by-step explanation:
-6x + 14 < -28
-14 -14
-6x < -42
x> 7
AND
3x + 28 ≤ 25
-28 -28
3x ≤ -3
x ≤ -1
x>7 and x≤ -1
Answer
x>7 and x<-1
Step-by-step explanation:
1a.) -6x+14<-28
2a.) subtract 14 from 14 and -28 (what you do to one you do to other)
3a.) you are left with -6x<-42
4a.) divide by -6 eache side of "<"
5a.) you HAVE to flip the sign when you divide by a negative
6a.) x>7
1b.) 3x+28<25
2b.) subtract 28 from 28 and 25 (what you do to one you do to other)
3b.) 3x<-3
4b.) divide both sides by 3
5b.) x<-1
What is the new coordinate for point S' when the figure is reflected over the line y=x HINT: (just switch the x and y coordinates of the points)
Answer: (1, -2)
Step-by-step explanation:
The original coordinate of S is (-2, 1)
As mentioned, also in the hint, exchange the position of x and y coordinate to get the new coordinate that is reflected after y=x
(basically in the 4th quadrant)
The new coordinate of S' is (1, -2)
Hope this helps!! :)
Please let me know if you have any question
6x + 3x =
combine like terms
Answer:
9x
Step-by-step explanation:
6x + 3x
6 + 3 = 9
add the x and you get 9x
i hope this helps
Answer:
6x + 3x = 9x
Step-by-step explanation:
6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.
The sum of three numbers is 52. The third number is 2 times the first. The second number is 8 less than the first. What are the numbers?
Answer:
3rd number = 30
2nd number = 7
1st number = 15
Step-by-step explanation:
(T) total of three numbers = 52
let 3rd number = 2 x
let 2nd number = x - 8
let 1st number = x
T = 1st + 2nd + 3rd
52 = 2x + (x - 8) + x
52 + 8 = 4x
60 = 4x
x = 60 / 4
x = 15
therefore,
let 3rd number = 2 (15) = 30
let 2nd number = 15 - 8 = 7
let 1st number = 15
Answer:
3rd = 30
2nd = 7
1st = 15
Step-by-step explanation:
(T) total = 52
3rd = 2 x
2nd = x - 8
1st = x
T = 1st + 2nd + 3rd
52 = 2x + (x - 8) + x
52 + 8 = 4x
60 = 4x
x = 15
so
3rd = 2 (15) = 30
2nd = 15 - 8 = 7
1st = 15
Try to calculate the arc elasticity percentage change from 80 to 100. Input your answer in percent form.
Answer: the arc elasticity percentage change from 80 to 100 is 22%
Step-by-step explanation:
formula for arc-elasticity percentage change is given as;
{ [Xₙ - X₀] / [ (X₀+Xₙ) / 2] } × 100
X₀ is old value, Xₙis new value
Now from our question
old value X₀ = 80
new value Xₙ = 100
WE SUBSTITUTE
Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } × 100
Arc-Elasticity = { [20] / [ 180 / 2] } × 100
Arc-Elasticity = (20/90) × 100
Arc-Elasticity = 22.22 ≈ 22%
Therefore the arc elasticity percentage change from 80 to 100 is 22%
In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:
the arc elasticity percentage is 22%
First, we have that the formula for the elastic arc is:
[tex]([X_n - X_0] / [ (X_0+X_n) / 2] } * 100[/tex]
X₀ is old value, Xₙis new value
Informed the exercise data as:
old value X₀ = 80 new value Xₙ = 100
Substituting the values in the formula given above, we find that:
[tex]Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%[/tex]
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ALGEBRA 2!!! SEND HELP!!! PLS!!!
Answer:
The answer is B.
Step-by-step explanation:
HOPE THIS HELPS U!!!