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Lerok [7]
2 years ago
9

Is the data symmetrical? If not, which way is the data skewed?

Mathematics
2 answers:
spayn [35]2 years ago
6 0

Answer:

The data is symmetrical

Step-by-step explanation:

In order for the data to be symmetrical, the mean and median have to be the same number, if they're not, then the data is skewed one way or another.

Hope this helps and have a good day/night!

castortr0y [4]2 years ago
5 0
The data is symmetrical.
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the congruent sides of an isosceles triangle are each one unit longer than the length of the shortest side of the triangle the p
vazorg [7]

Let s represent the short side of the triangle. The long sides of the triangle are each s+1, and the triangle's perimeter is

... s + (s+1) + (s+1) = 3s+2

The length of one side of the square is s-2, and its perimeter is 4 times that, 4(s-2) = 4s-8. The square and triangle have the same perimeter, so

... 3s+2 = 4s-8

... 10 = s . . . . . . . . add 8-3s to both sides

The length of the shorter side of the triange is 10 units.

8 0
3 years ago
Read 2 more answers
/// WORTH 70 points /// ASAP ////
belka [17]

A community is developing plans for a pool and hot tub. The community plans to form a swim team, so the pool must be built to certain dimensions. Answer the questions to identify possible dimensions of the deck around the pool and hot tub.


Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be the same width on all sides of the pool. Including the deck, the total pool area has a length of (x + 25) yards, and a width of (x + 9) yards.

Write an equation representing the total area of the pool and the pool deck. Use y to represent the total area. Hint: The area of a rectangle is length times width. (1 point)

y = (x+25)(x+9)


Rewrite the area equation in standard form. Hint: Use the FOIL method. (1 point)


y = x^2 + 9x + 25x + 9(25)


y = x^2 +34x + 225


Rewrite the equation from Part b in vertex form by completing the square. Hint: Move the constant to the other side, add to each side, rewrite the right side as a perfect square trinomial, and finally, isolate y. (4 points: 1 point for each step in the hint)


y-225 = x^2 +34x


y-225 + 17^2 = x^2 +34x + 17^2


y-225 + 289 = (x+17)^2


y = (x+17)^2 - 64


What is the vertex of the parabola? What are the x- and y-intercepts? Hint: Use your answer from Part a to identify the x-intercepts. Use your answer from Part b to identify the y-intercept. Use your answer from Part c to identify the vertex. (4 points: 1 point for each coordinate point)

The vertex is where the squared term is zero, x=-17 , y =-64, (-17,-64)


The y intercept is y at x=0, so (0,225)


The x intercepts are the zeros; so at x=-25 and x=-9, aka (-25,0), (-9,0)


Graph the parabola. Use the key features of the graph that you identified in Part d. (3 points)


[Plot the points we generated and connect the dots. I'll leave the graphing to you]

In this problem, only positive values of x make sense. Why? (1 point)

<em>x</em> is the width of the pool edge; it must be positive.


What point on your graph shows a total area that includes the pool but not the pool deck? (1 point)


x=0, y=225 i.e. (0,225)



The community decided on a pool area that adds 6 yards of pool deck to both the length and the width of the pool. What is the total area of the pool and deck when x = 6 yards? (2 points)


(9+6)(25+6)=15(31)=465



Part II: A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width of the deck space around the hot tub, x.

Step 1: Write an equation for the area of the enclosed space in the form y = (side length)2. Hint: Don't forget to add x to each side of the hot tub. (1 point)



y=(x+6)(x+6)=(x+6)^2



Step 2: Substitute the area of the enclosed space for y in your equation. (1 point)


169 = (x+6)^2


Step 3: Solve your equation from Part b for x. (3 points)


x + 6 = \pm \sqrt{169}


x = -6&#10; \pm 13


x= 7 \quad \textrm{ or } \quad x= -19


Step 4: What is the width of the deck around the hot tub? Hint: One of the answers from Part c is not reasonable. (1 point)


Only the positive root works,


x=7 feet


5 0
3 years ago
Find x when y=5 if y varies inversely as x and x=6 when y =-18
Vera_Pavlovna [14]
It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y =\frac{k}{x}\
when y = -18 and x = 6
-18 = k/ 6 ---1)
We need to find x when y = 5
 5 = k/x
when we divide 1)/2), k gets cancelled 

\frac{-18}{5}=  \frac{x}{6}
x = -18*6/5
x = -21.6
when y = 5, then x = -21.6
7 0
3 years ago
HELP ME PLEASE! I am not good at math
Diano4ka-milaya [45]
First you subtract 1/3 from both sides, that leaves you with 5/12, then you multiply the reciprocal of 1/2 by both sides, which is 2, which gives you 5/6. Therefore, K>5/6
4 0
2 years ago
QUESTION 5 What is the area of the trapezoid?
mr Goodwill [35]

Answer:

126 in^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 12+16)*9

A = 1/2 (28) *9

  = 126

7 0
3 years ago
Read 2 more answers
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