Answer: 0.50477
Step-by-step explanation:
Given : The sugar content of the syrup is canned peaches is normally distributed.
We assume the can is designed to have standard deviation milligrams.
The sampling distribution of the sample variance is chi-square distribution.
Also,The data yields a sample standard deviation of milligrams.
Sample size : n= 10
Test statistic for chi-square :
i.e.
Now, P-value = [By using the chi-square distribution table for p-values.]
Hence, the chance of observing the sample standard deviation greater than 4.8 milligrams = 0.50477
Answer:
32 liters is the volume of the glass tank
Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
= [ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
= [ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
Answer:
A U B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Let's define the sets.
Let ¢ = universal set ( Contains all the elements in the set)
¢ = {1, 2, 3, 4, 5, 6, 7, 8, 9 , 10}
A= {2, 4, 6, 8}
B= {1,2,3,4,5,6}
Therefore: A U B (A union B):
A U B = {1, 2, 3, 4, 5, 6, 8}