Answer:
Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:
hope this helped!
Answer:
It is the number in the middle of a set of numbers arranged in ascending order, it will be easier to find median if the set of given numbers are even if its an odd number, then divide the number by 2.
To find the range subtract the lowest value from the highest value
Step-by-step explanation:
The sum of two numbers is 11. The first number plus triple the second is 25. Find these two
numbers.
Answer:
4 + 7 = 11
4 + 7(3) = 25
4 + 21 = 25
first number is 4, second is 7
I hope this helped!
Step-by-step explanation:
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $125 for each ton of sugar
transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 18 tons of sugar.
Answer:
$ 3750 = truck rental; $125 per ton of sugar transported
C is cost; S is number of tons transported
Equation relating C to S would be a linear equation like y = mx + b
C = 125S + $3750
This equation would be graphed in the first quadrant only
you would start with your y-intercept at (0, 3750)
As x increases by 1, your y increases by 125 yielding these points:
(1, 3875) (2, 4000) (3, 4125) etc.
This shows that for each increase by one ton of sugar, the cost goes up $125
Step-by-step explanation:
What is the area of this triangle?
150 cm²
210 cm²
315 cm²
420 cm²
Answer:
[tex]area = \frac{1}{2} (base)(height) \\ area = \frac{1}{2} (35cm)(12cm) \\ area = \frac{1}{2} (420 {cm}^{2} ) \\ area = 210 \: {cm}^{2} [/tex]
The area of the triangle with height 12 cm and base 35 cm is A = 210 cm²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is AB = 35 cm
The height of the triangle is BC = 12 cm
And , the area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
Area of the triangle A = ( 1/2 ) x 12 x 35
Area of the triangle A = ( 6 x 35 )
Area of the triangle A = 210 cm²
Hence , the area of the triangle is 210 cm²
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CAN SOMEONE HELP ME PLEASEREE
Answer:
a) 52
Step-by-step
49+52=101
which makes the equation true
101>100
51 will make it equal
53 and 54 its more than 52 that meants it wont be the smallest whole number
A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).
Write an equation in standard form of the line that is graphed. Then find the x- and y-intercepts.
The equation of the line in standard form is
.
The x-intercept is
.
The y-intercept is
.
Answer:
0.8x - y = -1.8, x-int = 2.25, y-int = -1.8
Step-by-step explanation:
(-4, -5) and (1, -1)
slope = [(-5) - (-1)] / [(-4) - 1] = -4 / -5 = 4/5 = 0.8
Let y = 0.8 x + b
Sub (-4, -5) into it
-5 = 0.8 * (-4) + b = -3.2 + b
b = -5 + 3.2 = -1.8
The equation is y = 0.8x - 1.8
standard form: 0.8x - y = -1.8
let y = 0, 0.8x - 1.8 = 0
x = 1.8/0.8 = 2.25 (x-intercept)
let x = 0, y = -1.8 (y-intercept)
Section 8.1 Introduction to the Laplace Transforms
Problem 2.
Use the table of Laplace transforms to find the Laplace transforms of the following functions.
[tex](a)cosh \: t \: sin \: t[/tex]
[tex](b) {sin}^{2} t[/tex]
[tex](c) {cos}^{2} 2t[/tex]
[tex](d) {cosh}^{2} t[/tex]
[tex](e)t \: sinh \: 2t[/tex]
[tex](f)sin \: t \: cos \: t[/tex]
[tex](g)sin(t + \frac{\pi}{4} )[/tex]
[tex](h)cos2t - cos3t[/tex]
[tex](i)sin2t + cos4t[/tex]
I don't know what table you have as reference, but I suspect it includes the following transforms:
[tex]1 \leftrightarrow \dfrac1s[/tex]
[tex]e^{at} \leftrightarrow \dfrac{1}{s-a}[/tex]
[tex]\cos(at) \leftrightarrow \dfrac{s}{s^2+a^2}[/tex]
[tex]\sin(at) \leftrightarrow \dfrac{a}{s^2+a^2}[/tex]
[tex]\cosh(at) \leftrigharrow \dfrac{s}{s^2-a^2}[/tex]
[tex]\sinh(at) \leftrigharrow \dfrac{a}{s^2-a^2}[/tex]
It probably also includes some more general properties, like
[tex]t f(t) \leftrightarrow -F'(s)[/tex]
[tex]e^{at} f(t) \leftrightarrow F(s-a)[/tex]
where F(s) is the Laplace transform of f(t).
Beyond these, you should also know the following identities:
[tex]\cosh(t) = \dfrac{e^t + e^{-t}}2[/tex]
[tex]\cosh^2(t) = \dfrac{1 + \cosh(2t)}2[/tex]
[tex]\cos^2(t) = \dfrac{1 + \cos(2t)}2[/tex]
[tex]\sin^2(t) = \dfrac{1 - \cos(2t)}2[/tex]
[tex]\sin(2t) = 2 \sin(t) \cos(t)[/tex]
[tex]\sin(t \pm T) = \sin(t) \cos(T) \pm \cos(t) \sin(T)[/tex]
Putting everything together, we have
• (a)
[tex]\cosh(t) \sin(t) = \dfrac{e^t + e^{-t}}2 \times \sin(t) = \dfrac12 e^t \sin(t) + \dfrac12 e^{-t} \sin(t)[/tex]
and the Laplace transform is
[tex]\dfrac12 F(s - 1) + \dfrac12 F(s + 1)[/tex]
where F(s) is the transform of sin(t),
[tex]F(s) = \dfrac{1}{s^2 + 1}[/tex]
Then
[tex]\cosh(t) \sin(t) \leftrightarrow \dfrac{\frac1{(s-1)^2+1} + \frac1{(s+1)^2+1}}2 = \boxed{\dfrac{s^2+2}{s^4+4}}[/tex]
• (b)
[tex]\sin^2(t) = \dfrac12 \left(1 - \cos(2t)\right)[/tex]
and the transform is
[tex]F(s) = \dfrac12 \left(\dfrac1s - \dfrac{s}{s^2+4}\right) = \boxed{\dfrac{2}{s^3+4s}}[/tex]
• (c)
[tex]\cos^2(2t) = \dfrac12 \left(1 + \cos(4t)\right)[/tex]
with transform
[tex]F(s) = \dfrac12 \left(\dfrac1s + \dfrac{s}{s^2+16}\right) = \boxed{\dfrac{s^2+8}{s^3+16s}}[/tex]
• (d)
[tex]\cosh^2(t) = \dfrac12 \left(1 + \cosh(2t)\right)[/tex]
with transform
[tex]F(s) = \dfrac12 \left(\dfrac1s + \dfrac{s}{s^2-4}\right) = \boxed{-\dfrac2{s^3-4s}}[/tex]
• (e)
[tex]t\sinh(2t) \leftrightarrow -F'(s)[/tex]
where F(s) is the Laplace transform of sinh(2t),
[tex]F(s) = \dfrac{2}{s^2 - 4} \implies -F'(s) = \boxed{\dfrac{4s}{(s^2-4)^2}}[/tex]
• (f)
[tex]\sin(t) \cos(t) = \dfrac12 \left(2\sin(t) \cos(t)\right) = \dfrac12 \sin(2t)[/tex]
with transform
[tex]F(s) = \dfrac12 \times \dfrac{2}{s^2+4} = \boxed{\dfrac1{s^2+4}}[/tex]
• (g)
[tex]\sin\left(t+\dfrac\pi4\right) = \sin(t) \cos\left(\dfrac\pi4\right) + \cos(t) \sin\left(\dfrac\pi4\right) = \dfrac1{\sqrt2} \left(\sin(t) + \cos(t)\right)[/tex]
with transform
[tex]F(s) = \dfrac1{\sqrt2} \left(\dfrac1{s^2+1} + \dfrac{s}{s^2+1}\right) = \boxed{\dfrac{s+1}{\sqrt2 (s^2+1)}}[/tex]
The last two are trivial and follow directly from the properties listed above.
• (h)
[tex]\cos(2t) - \cos(3t) \leftrightarrow \dfrac{s}{s^2+4} - \dfrac{s}{s^2+9} = \boxed{\dfrac{5s}{s^4 + 13s^2 + 36}}[/tex]
• (i)
[tex]\sin(2t) + \cos(4t) \leftrightarrow \dfrac2{s^2+4} + \dfrac{s}{s^2+16} = \boxed{\dfrac{s^3+2s^2+4s+32}{s^4+20s^2+64}}[/tex]
Please help! Tell me which color and if you can please explain.
Answer:
Yellow
Step-by-step explanation:
y= -f(x) reflects over the x-axis which is what this graph shows. When you complete the factor of
-(x+3)(x-1)
Use the FOIL method to solve
(First, Outer, Inner, last) This will equal to the
y= -x^2-2x+3 as shown in the yellow box
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at the time.
A line that models the data is given by the equation $$, where $$ represents the wait time, and represents the number of staff available.
The slope of the line is -1.62. What does this mean in this situation?
the time you have to wait per staff number.
Is a slope of 1.62 realistic in this context?
no because it is not a coordinate and there isn't any decimals in the wait time
The $$-intercept is $$. What does this mean in this situation?
it means there's more waiting time
Is a $$-intercept of $$ realistic in this context?
no because when you try to find it it goes off the graph and isnt calculable.
The slope of a linear regression is the rate of change of the line of the best fit
The interpretation of the slope is that the wait time per staff is 1.62 minutesThe slope value is realisticThe linear regression is given as:
y = -1.62x + 18
Where
y represents the wait timex represents the number of staffUsing the above representations, the slope means that the wait time per staff is 1.62 minutes
Also, the slope value is realistic because time can be measured in decimals
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Determine the mean for the set of data.
23, 30, 26, 25, 21
Answer:
25
Step-by-step explanation:
To find the mean, sum up the five data points and divide this sum by 5:
125
----- = 25
5
The mean is 25.
help help help help help
Answer: 2.48
Step-by-step explanation:
2.48+4.02=6.5
Brainliest if correct
Answer:
100 + 10u
Step-by-step explanation:
10(10 + u)apply distributive law: a(b+c) = ab + ac
10(10) + 10(u)remove parenthesis
100 + 10uWhat is the solution to the equation below?
square root 2x/ square root x - 2 = 2
Answer:
[tex]x= 4[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{2x}}{\sqrt{x-2}\:}=2[/tex] [ bring √(x - 2) to the opposite side ]
[tex]\sqrt{2x} = 2\sqrt{x-2}[/tex]
[tex](\sqrt{2x} )^{2} = (2\sqrt{x-2})^2[/tex] [ square both sides ]
[tex]2x = 4(x-2)[/tex]
[tex]2x=4x-8[/tex]
[tex]2x - 4x = -8[/tex]
[tex]-2x = -8[/tex]
[tex]x= 4[/tex]
Answer:
x=4
Step-by-step explanation:
[tex]\dfrac{\sqrt{2x} }{\sqrt{x-2}}=2[/tex]
Multiply both sides by [tex]\sqrt{x-2}[/tex] :
[tex]\implies \sqrt{2x}=2\sqrt{x-2}[/tex]
Square both sides:
[tex]\implies 2x=4(x-2)\\\\\implies 2x=4x-8[/tex]
Add 8 to both sides:
[tex]\implies 2x+8=4x[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 8=2x[/tex]
Divide both sides by 4:
[tex]\implies x=4[/tex]
Convert 39/50 to a decimal and a percent.
Answer:
here's your answer hope it helps.
Step-by-step explanation:
1. decimal:
39/50=0.78
2. percentage:
39/50=78%
9/50 to a decimal is 0.78 and a percent is 78%.
To convert fraction into decimal, divide the top of the fraction by the bottom number (39/50) here 39 is the top of the fraction and 50 is bottom of the fraction.
39/50 = 0.78
To convert fraction into percent, divide the top of the fraction by the bottom number then multiple the result by 100 here 39 is the top of the fraction and 50 is bottom of the fraction then multiple the result(0.78) by 100.
39/50 = 0.78 * 100 = 78.
Therefore, 39/50 to a decimal is 0.78 and a percent is 78%.
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Find 2 equivalent expressions 6a + 3 3(2a+1) 6a
Answer:
6a +6a +3 + 6a
12a +3 +6a
18a +3
What is the total surface area of this triangular prism?
Given :
A triangular prism .To Find :-
The total surface area of the prism .Solution :-
From the given figure we can see that the prism is made up of
2 triangular surfaces .3 rectangular surfaces .And the base and height of each triangle is ,
base = 7 inch height = 5 inchAnd the dimensions of each rectangle is ,
length = 13 inchbreadth = 6.1 inchTherefore , the Total surface area is ,
→ TSA = 2( area of each ∆) +3(area of each rectangle)
→ TSA = 2 ( 1/2 * 7 * 5)in.² + 3(13*6.1) in.²
→ TSA = 2 * 35/2 in.² + 3* 79.3 in.²
→ TSA = 35 in.² + 237.9 in.²
→ TSA = 272.9 ≈ 273 in.²
Hence the TSA of prism is 273 in.² .
I hope this helps.
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Please help me whoever gets the answer right first will get brainliest
Answer:I believe its this
Step-by-step explanation:
you can see the step by step in the attached image as well as the result
x-2y=4 solve for y in standard form
Rearranging the question,
SOLVE FOR Y IN TERMS OF X:
x - 2y = 4
Move 2y to the other side
x=2y+4
Move 4 to the other side and flip the equation
2y=x-4
Divide both sides by two:
y=1/2x-2-Hunter
Answer:
y = 1/2x - 2
(You need to rearrange x-2y=4)
Please answer! I really need help quick
find the value of x & y ( SHOW YOUR WORK ) !!!
Answer:
Step-by-step explanation:
<A = <E corresponding parts of 2 geometric figures are =
60 + 8x = 108 Subtract 60 from both sides
8x = 108 - 60 Combine
8x = 48 Divide by 8
8x/8 = 48/8
x = 6
< C = <G corresponding parts of 2 geometric figures are =
8y - 3x = 62 Use x = 6 from the previous problem
8y - 3*6 = 62 Combine
8y - 18 = 62 Add 18 to both sides
8y = 62 + 18 Combine
8y = 80 Divide by 8
8y/8 = 80/8
y = 10
kali runs 10 laps around a track each day. Each lap around the track is 400 meters. How many will it take kali to run a total of 12 kilometers?
Answer:
3 days
Step-by-step explanation:
Kali runs 10 laps around a track each day, and each lap is 400 meters. So, the first step would be:
10 • 400 = 4,000
That means Kali runs 4,000 meters each day.
Now, there are 1,000 meters in 1 kilometer. This means he runs 4 kilometers each day, and we're trying to get to 12 kilometers.
The final step is to divide. 12/4 = 3
So, it would take 3 days for him to run a total of 12 kilometers.
Answer:
Kali will run 3 days
Step-by-step explanation: took quiz
A tractor-trailer travels 205.296 miles in 3.12 hours . What is the speed at which the tractor-trailer in traveling?
Answer:
i think 66.5 miles per hour
Step-by-step explanation:
Answer:
205.295 miles divided by 3.12 hours = 65.8 miles per hour
Step-by-step explanation:
Brainliest if correct
Answer:
w=4
Step-by-step explanation:
First, we can simplify the equation.
28=14w-7w
28=7w
Then, we can divide by 7 on both sides of the equation.
28/7=7w/7
4=w
Finally, we know that x equals 4.
Answer:
w =4
Step-by-step explanation:
28 = 14w - 7w
Combine like terms
28 = 7w
Divide both sides of the equation by the same term
28/7 = 7w/7
Simplify
w = 4
[RevyBreeze]
Find The Value Of x
[tex] \sf \: 5x = 25[/tex]
Thank You! :)
[tex] \: \: \: [/tex]
[tex] \sf \: x = \frac{25}{5} [/tex][tex] \: \: \: [/tex]
[tex]x = \cancel\frac{25}{5} [/tex][tex] \: \: \: [/tex]
[tex] \boxed{ \sf \orange{x = 5}}[/tex]The Value Of x Is 5.
Hope Helps~Answer:
x = 5
Step-by-step explanation:
5x = 25
x = 25/5
x = 5
Hope it helps ⚜
a theme park had 1099 vistiors in three day.
there were twicw as many vistiors on saturday.
than on friday.there were 234 more vistiors on sunday than on saturday.
how many visitors
Answer:
Number of visitors on Friday = 173
Number of visitors on Saturday = 346
Number of visitors on Sunday = 580
Step-by-step explanation:
Total number of visitors over 3 days = 1099
Let x = number of visitors on Friday
If there were twice as many visitors on Saturday than on Friday, then
⇒ number of visitors on Saturday = 2x
If there were 234 more visitors on Sunday than on Saturday, then
⇒ number of visitors on Sunday = 2x + 234
Create an expression for the total number of visitors and solve for x:
⇒ x + 2x + 2x + 234 = 1099
⇒ 5x + 234 = 1099
⇒ 5x = 865
⇒ x = 173
Substitute found value of x into the expressions for each day:
⇒ Number of visitors on Friday = 173
⇒ Number of visitors on Saturday = 2 x 173 = 346
⇒ Number of visitors on Sunday = (2 x 173) + 234 = 580
PLS ANSWER AS SOON AS POSSIBLE
Step-by-step explanation:
[tex](x + y) {}^{2} - 1[/tex]
[tex](x + y - 1)(x + y + 1)[/tex]
The solution set of the inequality 2x - y> 2 consists of all the points_?_ the line?
above; y = 2x - 2
below, y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
Answer:
The answer is below, y = 2x - 2
Step-by-step explanation:
2x - y > 2
-2x -2x
-y > 2 - 2x
/-1 / -1
y < -2 + 2x, also written as y < 2x - 2
This is where we got our answer: y = 2x - 2
*There is an invisible 1 before the variable (y)*
*When dividing an inequality with a negative number, the sign flips (from < to >, or from ≤ to ≥)*
I'm going to share a little tip:
< or ≤ = below the line
> or ≥ = above the line
Hope that helps
What does 0= -12 mean regarding the solution to the system?
Answer:
There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation:
Answer:
What does 0 = −12 mean regarding the solution to the system? There are no solutions to the system because the equations represent parallel lines.
The shaded part of the bell-shaped graph is called?
Answer:
A bell curve is a common type of distribution for a variable, also known as the normal distribution. The term "bell curve" originates from the fact that the graph used to depict a normal distribution consists of a symmetrical bell-shaped curve.
Step-by-step explanation:
My answer is the one above!
Please mark brainliest i need 2 more!
Answer:
It is called the normal distribution. Hope this help.
Helped by QueenTloveHope you have an nice day
A building casts a shadow that is 55 feet long. At the same time, a woman standing nearby who is 5 feet 3 inches tall casts a shadow that is 45 inches long. How tall is the building to the nearest foot?
Answer:
77ft ?
Step-by-step explanation: