Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = 
Answer:
95% Confidence interval for the variance:

95% Confidence interval for the standard deviation:

Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is

The confidence interval for the variance is:

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

Then, the confidence interval can be calculated as:

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

Hello there! The formula for finding the area of a circle is π * r². The radius is 1/2 of the diameter. The diameter is 92 meters ½ of 92 is 46. So we will raise 46 to the second power. 46² is 2,116. Now, let's multiply that by 3.14 to ffind the area of the circle. 2,116 * 3.14 is 6,644.24. There. The area of the ice skating rink is 6,644.24 square feet.
Answer:
1. Sample space: red or blue
2. Red: 3/5, Blue 2/5
3. 60% probability of selecting a red, 40 percent probability
4. 1 more blue
Step-by-step explanation:
3. 3/5 x 2 = 6/10 --> 60%
4. 5 total, 3 red, 2 blue (+ 1 blue) = 6 total, 3 red, 3 blue
The two numbers are 10 and 1. When you add 10 and 1, it adds up to 11. When you multiply 10 by 1, the answer is 10.
Hope it helps :)