Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:


Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒ 
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion 

= 0.675
The test statistics 


Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6
Answer:
7x6 = 42
Step-by-step explanation:
J = 42
Answer:

Step-by-step explanation:
Given,
Time taken in one rotation of earth = 23 hours, 56 minutes and 4 seconds.
Since, 1 minute = 60 seconds and 1 hour = 3600 seconds,
⇒ Time taken in one rotation of earth = (23 × 3600 + 56 × 60 + 4) seconds
= 86164 seconds,
Now, the number of radians in one rotation = 2π,
That is, 86164 seconds = 2π radians

Hence, the number of radians in one second is 
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval
is equal to
, hence:

Therefore, the average rate of change of
over the interval
is
.
<u>Part B</u>
Do the same thing as in Part A:

Therefore, the average rate of change of
over the interval
is
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
Pretty sure it’s a circle , why would it be a rectangle and a right angle