Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
<h3>When should the t-distribution and the z-distribution be used?</h3>
- If we have the standard deviation for the sample, the t-distribution should be used.
- If we have the standard deviation for the population, the z-distribution should be used.
In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a <em>confidence level of 99%</em> and 56 - 1 = <em>55 df</em>, the critical value is t = 2.6682.
More can be learned about the t-distribution at brainly.com/question/16162795
Answer:
The larger integer is 
.
Step-by-step explanation:
Given: Two times the smaller of two consecutive integers is equal to 
more than the larger.
To find: The larger integer.
Solution:
Let the two consecutive integers be 
and 
, where the smaller integer is and larger integer is .
Now, according to question.
Two times the smaller integer 
more than the larger integer.
So, the smaller integer is 
, and the larger integer is 
Hence, the larger integer is 
Answer:
3. 10000
Step-by-step explanation:
Given the following :
Number of gumball cartons = 3
Number of boxes per carton = 100
Number of gumballs per box = 100
The number of gumballs can be expressed in the form : (a. 10) ; where ; a = prime number ; b = whole number
Values of a and b?
Total number of gumballs :
Number of carton × number of boxes per carton × number of gumballs per box
3 × 100 × 100
Hence, writing the expression in the form: a. 10
a. 10 = 3 × 10000
Answer:
The pattern is that, every time a 9 is added. This pattern continuous forever.
Step-by-step explanation:
9 X 1 = 9
9 X 2 = 18 (9+9)
9 X 3 = 27 (9+9+9)
Etc.
