Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A. 
B. 
C. 
D. 
Response:
B.
Detailed explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it
Open the brackets
Simplify the fractions
Divide by 2
Re-arrange
Next, we compare options A through D with
A. is not equal to
Next, we check the second option
B.
matches
This option represents the second equation in slope-intercept format.
We check for further options
C.
Convert the fraction into a decimal
This does not equal
D.
Convert the fraction to decimal
This also does not equal to
Therefore, the only option equivalent to the second equation in slope-intercept form is Option B
Answer:
Explanation:
Hello!
You possess a sample involving 200 participants, who were surveyed regarding their main source of news, categorized into (1) Television, (2) Radio, (3) Internet, and (4) Other.
Your goal is to evaluate whether the proportions in this sample align with the established frequencies of 10%, 30%, 50%, and 10% respectively.
The suitable statistical method to assess if the sample matches the known or historical distribution is the Chi-Square goodness of fit test. In this test, the null hypothesis represents the model or distribution under examination. In this scenario, you need to articulate the proportions for each category:
H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10
Wishing you a SUPER day!
77%
I prefer using ratios and cross multiplication for scenarios like this. Divide the part (1001) by the whole (1300), and set that equal to x percent of 100 percent.
1001/1300 = x/100
100100 = 1300x
x = 77
