Answer:
Step-by-step explanation:
The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:
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 .
Answer:
126.
Step-by-step explanation:
Each rectangle is a step. We'll start with the top one. This is simple: 6 times 3.
The farthest left is 5 times 3.
The crossed one is 6 times 5.
The one to the right of the crossed one is 3 times 5, again.
The farthest right is 6 times 5, again.
The bottom one is 6 times 3, again.
Now, we add.
Answer:
12
Step-by-step explanation:
1/12x1/x
1x=12x1
x=12
Answer:
First Area of the triangle=180 Degree
I,e ∠A+∠B+∠C=180°
Given ∠A= 21
∠B=34
∠C=X
∠A+∠B+∠C=180°
21+ 34+ x°=180°
55+x=180°
x°= 180-55
x= 125°
Step-by-step explanation:
