1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis [28]
3 years ago
15

The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square

.
Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0
Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x: 
-2(x²-11x-60)
(x+4)(x-15)
x = -4  & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
You might be interested in
Perform the operation. Enter your answer in scientific notation.   9 × 102 − 5.6 × 102 =
Arada [10]

Answer:

1489.2

Step-by-step explanation:

9*102-5.6*102=

102(9+5.6) =

102(9.0+5.6) =

102(14.6) =

102*14.6=

14.6*(100+2) =

(14.6*100+14.6*2) =

(1460+(14+.6) *2) =

1460+(28+1.2) =

1460+(28.0+1.2) =

1460+29.2=

1460.0+

29.2

=1489.2

3 0
3 years ago
Read 2 more answers
What is the Definition of Algebra?
saveliy_v [14]

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the slope of the line in the graph?
alexandr1967 [171]

Answer:

slope =  \frac{(y - y)}{x -x}  \\  =  \frac{1 - 0}{0 + 1} =1 \\ you \: take \: two \: points \: a(0)(1) \\ b( - 1)(0) \\ then \: the \: slope \: is \: 1

6 0
2 years ago
The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament.
NeX [460]

Answer:

Step-by-step explanation:

Hello!

(Data and full text attached)

The stem and leaf plot is a way to present quantitative data.  Considering two-digit numbers, for example 50, the tens digits are arranged in the stem and the units determine the leafs.

So for the stem and leaf showing the digs of the top players of the tournament, the observed data is:

41, 41, 43, 43, 45, 50, 52, 53, 54, 62, 63, 63, 67, 75, 97

n= 15

Note that in the stem it shows the number 8, but with no leaf in that row, that means that there were no "eighties" observed.

a) 6 Players had more than 60 digs.

b)

To calculate the mean you have to use the following formula:

X[bar]= ∑x/n= (41 + 41 + 43 + 43 + 45 + 50 + 42 + 53 + 54 + 62 + 63 + 63 + 67 + 75 + 97)/15= 849/15= 56.6 digs

To calculate the median you have to calculate its position and then identify its value out of the observed data arranged from least to greatest:

PosMe= (n+1)/2= (15+1)/2= 8 ⇒ The median is in the eight place:

41, 41, 43, 43, 45, 50, 42, 53, 54, 62, 63, 63, 67, 75, 97

The median is Me= 53

53 is the value that separates the data in exact halves.

The mode is the most observed value (with more absolute frequency).

Consider the values that were recorded more than once

41, 41

43, 43

63, 63

41, 43 and 63 are the values with most absolute frequency, which means that this distribution is multimodal and has three modes:

Md₁: 41

Md₂: 43

Md₃: 63

The Range is the difference between the maximum value and the minimum value of the data set:

R= max- min= 97 - 41= 56

c)

The distribution is asymmetrical, right skewed and tri-modal.

Md₁: 41 < Md₂: 43 < Me= 53 < X[bar]= 56.6 < Md₃: 63

Outlier: 97

d)

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.  

Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:

X < Q₁ - 1.5 IQR

X > Q₃ + 1.5 IQR

PosQ₁= 16/4= 4

Q₁= 43

PosQ₃= 16*3/4= 12

Q₃= 63

IQR= 63 - 43= 20

Q₁ - 1.5 IQR = 43 - 1.5*20= 13 ⇒ There are no values 13 and below, there are no lower outliers.

Q₃ + 1.5 IQR = 63 + 1.5*20= 93 ⇒ There is one value registered above the calculated limit, the last observation 97 is the only outlier of the sample.

The mean is highly affected by outliers, its value is always modified by the magnitude of the outliers and "moves" its position towards the direction of them.

Calculated mean with the outlier: X[bar]= 849/15= 56.6 digs

Calculated mean without the outlier: X[bar]= 752/14= 53.71 digs

I hope this helps.

7 0
3 years ago
I NEED HELP IM IN CLASS RN PLEASEE HELP! WILL GIVE BRIANLIEST!
fgiga [73]

Answer:

y=x+12

Step-by-step explanation:

Well the slope is -4/-4 =1

We plug it into the formula, y=mx+b, but m=1

So it is y=1x+b

We know the points, so we plug y and x in which is:

-4=-4*4+b

-4=-16+b

b=12

So the point slope form of that is y=x+12

4 0
3 years ago
Other questions:
  • Rita ran 5 miles in 48 minutes what was her time per mile
    12·2 answers
  • The sales tax in one town is 8%. The total cost of an item can be written as c + 0.08c . What is the total cost of an item that
    6·1 answer
  • A railway tunnel 147m long is to be bored with a circular cross section of radius 5m.what volume of soil has to be excavated?
    5·1 answer
  • Can someone help me with this question please. its urgent. the question is attached
    11·1 answer
  • !!!!!!!!15 POINTS FOR ANSWERING THIS CORRECTLY!!!!!!!!
    12·1 answer
  • Candice bought a pencil box, shown below, to take with her to school
    6·1 answer
  • 1.) Jimmy has rowed his canoe 3/8 of the length of the course. He has rowed 60 meters. How long is the entire course?
    14·2 answers
  • HELP ME ASAP PLEASEEEEEEEE
    13·2 answers
  • A pizza has a diameter of 16 inches. What is the area of the pizza? Leave answer in terms of T.
    12·1 answer
  • Lucinda ran 3.7 miles in 30 minutes. What was her average time for each mile?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!