The answer to which is bigger is -5 because it is closer to zero
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
X +(1/x) = -0.5 has no real solutions.
There are no real numbers that meet your requirements.
_____
The two complex numbers that meet your requirement are
-1/4 +i√(15/16), -1/4 -i√(15/16)
The possible dimension are :
400 = 1 x 400
400 = 2 x 200
400 = 4 x 100
400 = 5 x 80
400 = 8 x 50
400 = 10 x 40
400 = 16 x 25
400 = 20 x 20