Answer:
The standard error of the mean of the sample is 0.13 ⇒ 2nd answer
Step-by-step explanation:
* Lets revise the definition of the standard error of the mean of
the sample
- The standard deviation of the distribution of sample means is called
the standard error of mean of the sample
- The rule of standard error is σM = σ/√n , where σ is the standard
deviation and n is the size of the sample
* lets solve the problem
- The time it takes for climbers to reach the highest point of a mountain
is normally distributed with a standard deviation of 0.75 hours
∴ σ = 0.75
- A sample of 35 people is drawn randomly from the population
∴ n = 35
- Lets find the standard error
∵ The standard error = σ/√n
∵ σ = 0.75
∵ n = 35
∴ σM = 0.75/√35 = 0.126773 ≅ 0.13
* The standard error of the mean of the sample is 0.13
The probability of getting an even number is 1/2 and for getting a prime number, the probability is also 1/2
10% of 1000 is 100. So 3% must be 30. $1000 + 30 = 1030. However, she adds the $50 in the account as well. So 1030 + 50 = $1080
I will define or explain about discrete and continuous data. Discrete data is the data that can count or data that have finite values or buckets while continuous is the data that cannot count or the data that have infinite number of steps, which form continuum. In your example, we can include that gravel in pile as a continuous data because we cannot count it just like the sand. The answer is continuous.
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>
where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>
<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>
<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)