Answer: 5
Because the two angles are congruent, these sides are congruent, so:
5x-8=2x+7
3x=15
x=5
<em>24p² + pq - 23q² = </em>
<em>= 24p² + 24pq - 23pq - 23q²</em>
<em>= 24p(p + q) - 23q(p + q)</em>
<em>= (p + q)(24p - 23q)</em>
<em />
<em />
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
