Answer:
Step-by-step explanation:
It's important to note that when two angles create a straight line, they are supplementary.
This means their angle measures add up to 180° since a 180° angle is a straight line.
Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.
Combine like terms:
Subtract 27 from both sides:
Divide both sides by 9:
So x = 17.
Hope this helped!
Answer:
2x-2= -21
Step-by-step explanation:
Answer:
16.373,16.4
Step-by-step explanation:
Given that a random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is the first exam score (out of a maximum of 100 points).
x y
11 39
13 55
14 43
17 46
19 69
22 75
24 77
25 78
28 77
31 93
34 92
Observations 11
ANOVA
df SS MS F Significance F
Regression 1 3214.095153 3214.095153 69.46052448 1.59367E-05
Residual 9 416.4503017 46.27225574
Total 10 3630.545455
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 16.37281677 6.48384963 2.525169105 0.0324919 1.705329914 31.04030362 1.705329914 31.04030362
x 2.369323595 0.28428592 8.33429808 1.59367E-05 1.726224167 3.012423023 1.726224167 3.012423023
We get regression line as y =2.369x+16.373
a) value of intercept = 16.373
b) 16.4
