Answer:

Step-by-step explanation:
by factorising ;
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<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.
Step-by-step explanation:

Answer:
A number <u>X</u>
Step-by-step explanation:
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:
1/6feet
Step-by-step explanation:
Given
Point A on the island = -7/3 feet from the sea surface
Point B on the island = -5/2 from the sea surface
The distance between the two points will be Point A - Point B
Distance between the two points = -7/3 - (-5/2)
= -7/3+5/2
Find the LCM
= {2(-7)+3(5)}/6
= -14+15/6
= 1/6
Hence the distance of the two points from the surface of the sea is 1/6feet