Answer:
As 
, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.
Step-by-step explanation:
1. Relevant data:
2. Hypotesis testing
3. Find the rejection area
From the one tail standard normal chart, whe have Z-value for 
is 1.56
Then rejection area is left 1.56 in normal curve.
4. Find the test statistic:
5. Hypotesis Testing
As , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.
Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
Answer:
is the answer.
Step-by-step explanation:
Given:
<u>Step 1: Converting the mixed fraction into fraction:</u>
Multiply 4 by 2 add 1 to the result.
<u></u>
= 
=
=
<u>Step 2: Performing the multiplication using the fraction</u>
= >
=> 
<u>Step 3: Converting the product back to mixed fraction </u>
divide 81 by 16 and find the remainder
=>
Dividing 81 by 16 we get 5 as quotient and 1 as remainder
Thus the result in mixed fraction will be
=>
Answer:
the answer is -2.5
Step-by-step explanation:
Answer:
rubbing it against your hair it causes friction and with friction comes energy
