Answer:
B: 22.5 degrees
Step-by-step explanation:
The interior angles of a pentagon add up to 540 degrees
(if you dont believe me you can turn a pentagon into three triangles, 3x180 = 540)
So you have four same angles say measure "x" degrees, and one final one that measures "5x" degrees, so 9x = 540, and x = 60
Unless I read the problem wrong, 60 degrees is the answer which is not an option :P
Edit: Yea I read it wrong, the final angle is 5 times the other four angles COMBINED, so that angle measures "20x" degrees.
The total would be 24x = 540, and so x = 22.5
1,038/12= 86.5833333 86x12=1,032
1,039-1,032=7 left over So you’ll need 87 boxes
Answer:
There is no sufficient evidence to support the executive claim
Step-by-step explanation:
From the question we are told that
The population proportion is 
The sample proportion is 
The sample size is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically evaluated as

=> 
=> 
The p-value is mathematically represented as

Form the z-table

=> 
=> 
Given that
we fail to reject the null hypothesis
Hence we can conclude that there is no sufficient evidence to support the executive claim
Answer:
∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.
Step-by-step explanation:
Given that,
The number of phone calls between two cities (N )
- directly proportional as the value of populations
and
of two cities. - Inversely varies as the magnitude of distance (d).


Given that,
N=18,000, d=310 miles,
=15,500 and
=180,000



Now,
N=? , d=435 miles,
=100,500 and
=160,000


∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.