Answer:
(D) The P-value is below 0.01.
Step-by-step explanation:
Test statistic (z) = (p' - p) ÷ sqrt[p(1-p) ÷ n]
p' is sample proportion = 162/462 = 0.35
p is population proportion = 0.41
n is sample size = 462
z = (0.35 - 0.41) ÷ sqrt[0.41(1-0.41) ÷ 462] = -0.06 ÷ 0.023 = -2.61
From the standard normal distribution table, the cumulative area of the test statistic is found by taking the value of 2.6 under 0.01. The value (cumulative area) is 0.9945.
The test is a one-tailed test because the alternate hypothesis is expressed using the inequality less than.
P-value = 1 - 0.9955 = 0.0045
The P-value 0.0045 is below 0.01
Answer:
40
Step-by-step explanation:
60/3 = 20*1 = 20
60-20 = 40
Answer:
D & E are correct options
Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.
The volume of a cone is:
Total volume:
Volume of upper cone:
Volume of frustum:
Answer:
first is 25/4
second is 4 3/8
third is 19 11/16
fourth is 7
Step-by-step explanation: