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satela [25.4K]
3 years ago
7

Find the median of the data

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
The median is the middle number of the data plot. Since there 30 numbers, there isn't a exact middle. To find the median you must add the two middle number then divide by 2. 

In this case you must add 87 and 88 which gives 175.

Then divide 175 by 2 which gives 87.5

87.5 is the median
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The sides of a square all have a side length of y. Write a simplified area function in terms of y for a rectangle whose length i
gizmo_the_mogwai [7]

The simplified area function in terms of y for a rectangle is f(y)=2 y^{2}+4 y

<u>Solution:</u>

Given that length of each side of a square = y

Need to determine area of rectangle whose length is twice the length of the square and width is 2 units longer that the side length of square

Length of rectangle = twice of side length of square = 2 \times y = 2y

Width of rectangle = 2 + side length of square = 2 + y = y + 2

\text { Area of rectangle }=\text { length of rectangle } \times \text { width of rectangle.}

On substituting length and width in formula for area, we get

\text { Area of rectangle }=2 y \times (y+2)=2 y^{2}+4 y

Hence function f(y)=2 y^{2}+4 y is represents area of required rectangle.

3 0
3 years ago
A couch and coffee table cost a total of $1017 . The cost of the couch is two times the cost of the coffee table. Find the cost
Solnce55 [7]

Answer:

The couch costs $678 and $339 for the coffee.

Step-by-step explanation:

In total you spent $1017 and it was used in 3 portions, 2 for the couch, and 1 for the coffee. First divide it and find out how much each portion costs. In this case (1017 divided by 3) the answer will be 339. Now since you spent 2 of the 3 portions on the couch multiply one portion by 2. Then you get 678 for 2 portions, hence telling us that the couch costed, $678. With the remaining one portion of 339, you already know coffee costs $339. Please give me brainliest, I am new to answering questions. Thanks!

6 0
3 years ago
Are awarded for first, second, and
allochka39001 [22]

Answer:

C. Permutation; number of ways = 210

6 0
3 years ago
Segment AB has endpoints A(-1,3) and B(0,7). What is the length of AB?
ololo11 [35]

Answer:

\sqrt{17}

Step-by-step explanation:

Calculate the length (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (0, 7)

d = \sqrt{(0+1)^2+(7-3)^2}

   = \sqrt{1^2+4^2}

   = \sqrt{1+16}

   = \sqrt{17} ≈ 4.1 ( to 1 dec. place )

5 0
3 years ago
I need help on this saturday guys
Anna71 [15]

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - the point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, 4) and (2, -2). Substitute:

m=\dfrac{-2-4}{2-5}=\dfrac{-6}{-3}=2

y-4=2(x-5) - <em>point-slope form</em>

y-4=2x-10        <em>add 4 to both sides</em>

y=2x-6  - <em>slope-intercept form</em>

y=2x-6      <em>subtract 2x from both sides</em>

-2x+y=-6      <em>change the signs</em>

2x-y=6   - <em>standard form</em>

-------------------------------------------------------------------

From the table we have two points (1, 3) and (2, 7). SubstituteL

m=\dfrac{7-3}{2-1}=\dfrac{4}{1}=4

y-3=4(x-1)   - <em>point-slope form</em>

y-3=4x-4     <em>add 3 to both sides</em>

y=4x-1    - <em>slope-intercept form</em>

y=4x-1      <em>subtract 4x from both sides</em>

-4x+y=-1     <em>change the signs</em>

4x-y=1    - <em>standard form</em>

6 0
3 years ago
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