<u>These 2 equations has </u><u>no solution</u><u> and the equations are </u><u>independent</u><u> </u><u>of each other.</u>
What is liner equation with two variable?
- An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
- For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
-10x² -10y² = -300 ----a
5x² + 5y² = 150 ---- b
While trying to solve this,
We can multiply the eq. b by 2 so we will get eq. c and then add to eq. a we will get 0 as the solution.
10x² + 10y² = 300 ----c
-10x² -10y² = -300 ---a
<u>Everything cutoff, we will </u><u>get 0</u><u>, and there is no solution to these equations.</u>
Learn more about liner equation with two variable brainly.com/question/16933755
#SPJ4
Answer:
This ans is easily solved by using algebraic identities a²- b² = (a+b) (a-b)
Step-by-step explanation:
1. convert into Identity
2. solve quadratic equation that formed.
<span>1. The highest speed is 39 mph.
2. 50 percent of the students drove between 15 and 28 mph.
3. A box and whisker plot shows the median speed.
4. 20 is the median speed for this data set.
5. A box and whisker plot is helpful in plotting variations in data and making it easy to read. It is also useful when there are multiple sets of data.</span>
Answer:
a. proportions have not changed significantly
Step-by-step explanation:
Given
Business College= 35 %
Arts College= 35 %
Education College = 30%
Calculated
Business College = 90/300= 9/30= 0.3 or 30%
Arts College= 120/300= 12/30= 2/5= 0.4 or 40%
Education College= 90/300= 9/30 = 0.3 or 30%
First we find the mean and variance of the three colleges using the formulas :
Mean = np
Standard Deviation= s= 
Business College
Mean = np =300*0.3= 90
Standard Deviation= s=
=
= 7.94
Arts College
Mean = np =300*0.4= 120
Standard Deviation= s=
=
= 8.49
Education College
Mean = np =300*0.3= 90
Standard Deviation= s=
=
= 7.94
Now calculating the previous means with the same number of students
Business College
Mean = np =300*0.35= 105
Arts College
Mean = np =300*0.35= 105
Education College:
Mean = np =300*0.3= 90
Now formulate the null and alternative hypothesis
Business College
90≤ Mean≥105
Arts College
105 ≤ Mean≥ 120
Education College
U0 : mean= 90 U1: mean ≠ 90
From these we conclude that the proportions have not changed significantly meaning that it falls outside the critical region.
Answer:
I would say 50%
Step-by-step explanation: