Answer:
6 "surprise" flavors jellybeans
Step-by-step explanation:
From the information given:
The bag contained a mixture of regular flavored jellybeans and "surprise" jellybeans.
There are 40 jellybeans in the bag.
If 15% of the jellybean were "surprise" flavors.
Then, the number of expected "surprise" jellybeans will be:
= 15% of 40 jellybeans
= (15/100) × 40
= 6 "surprise" flavors jellybeans
If 6 surprise jellybean is contained in the bag;
Thus, the number of regular flavored jellybean will be
= 40 - 6
= 34 regular flavored jellybean
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
11
A diagonal connects a vertex to another vertex without being a side of the polygon. There are 14 vertices in a 14-gon. This leaves 13 vertices left to connect to (since we cannot connect the vertex to itself). However, two of these vertices will form the sides of the 14-gon. This leaves us with 11 possible diagonals we can draw.
Answer:
843 days
Step-by-step explanation:
