A. True. This is because distances are preserved and kept the same.
B. True. Moving any point to it's corresponding image is having you travel 8 units.
C. True. Corresponding angles are congruent.
D. False. This is not always true so in general it's false.
The final answer is choice D
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Answer:
b. 6.25%
Step-by-step explanation:
In order to obtain the unemployment rate in Micronesia, you have to divide the amount unemployees that still in the labor force between the amount of people in the labor force.
The labor force is defined as the number of people employed plus the unemployed people who are seeking work.
The number of people employed is the people who work part time plus the people who are fully employed (the remainder of the 80,000 people). Therefore:
14,000 + (80,000 -16,000 - 4,000 - 14,000)
14,000+46,000=60,000
The number of unemployed people who are seeking work is:
4,000
The labor force is:
60,000 + 4,000 = 64,000
The unemployment rate is:
4,000/64,000 = 0.0625
Multiplying by 100 to obtain the percentage:
0.0625(100)=6.25%
54 / 2 2/3 =
54/1 / 8/3 =
54/1 x 3/8 = 162/8 = 20 1/4 miles per month
