The solution to the Questions are
- The alternate hypothesis demonstrates that there are two possible outcomes for the test.
- Decision rule: If z > 2.05 or z<-2.05, reject H0
- The two-tailed nature of the test is shown by the alternative hypothesis.
- The result of the test yields the following P-value: 0.0096
<h3>What is the alternate hypothesis?</h3>
(a)
The alternate hypothesis demonstrates that there are two possible outcomes for the test.
(b)
Here we have

(b)
Here the test is two-tailed. So for
, the critical values of the z-test are -2.05 and 2.05.
Decision rule: If z > 2.05 or z<-2.05, reject H0
(c)
Test statistics will be

z=2.59
(d)
The two-tailed nature of the test is shown by the alternative hypothesis.
(e)
The result of the test yields the following P-value: 0.0096
Read more about P-value
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Answer:
1. In triangle ABC,
AC = a = 10, BC =b= 7 and ∠ C = 90°
By cosine law,




Now, by the law of sine,



2. In triangle ABC,
∠B = 30°, AB=c=10 and ∠C = 90°
∠A = 180°-(30+90)°=60°

⇒ 
By Pythagoras,

⇒ 
1: Look at the 4, its a lot easier to multiply 5 x 5 rather than 5 x 4, plus if you are estimating, you are going to round either up or down.
2: Multiply 5 x 5 // the answer is 25.
3: Multiply 5 x 4 (the original) // which is 20.
Answer:
21
Step-by-step explanation:
1 dozen=12
3 dozen= 36
15-36=21
Answer:
8 and 7
Step-by-step explanation: since 8-7 is 1 and product is multiplication, 8 x 7 is 56