Neagative six plus r is less than or equal to negative three point five
-99 = -9*11
176 = 16*11
Both factorizations have 11 show up. It turns out that 11 is the largest common factor.
Answer: C) 11
Note: if you divide both numerator and denominator by 11, then the fraction reduces to -9/16
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
Answer:
0 > -5
Step-by-step explanation:
9w - 4w + 6 > 1 + 5w
add the similar variables
5w + 6 > 1 + 5w
subtract 6 from both sides
5w + 6 > 1 + 5w
-6 -6
5w > 5w - 5
simplify
5w > 5w -5
subtract 5 w from both sides
5w > 5w -5
-5w -5w
simplify
= 0 > -5
