Answer:
We conclude that the population mean is 24.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean,
= 22.8
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 8.3
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value with the help of standard z table.
P-value = 0.1498
Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.
Now,
Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.
Answer with Step-by-step explanation:
We are given that:
tanA = 0.45
tanA= 
= 
⇒
=0.45
⇒
=
⇒
=
⇒ AC= 20
Hence, by pythagoras theorem
AB²=AC²+BC²
AB²=20²+9²
AB²=481
⇒ AB=21.9 units
Hence, the approximate length of AB is:
22 units
Answer:
c = 6
Step-by-step explanation:
The compound inequality is c < x < 5
If we want a value of c such that there are no solutions, we need to make that inequality false.
From the inequality we can see that 5 must be greater than c to be true.
Therefore, we need to choose a value smaller or equal than 5.
For example, c=6.
If c = 6, that means that x is greater than 6 and smaller than 5. That's impossible, there is no number that meets that.
Therefore, our compound inequality 6 < x < 5 has no solutions.