Answer:
Step-by-step explanation:
To find the angular velocity divide the revolutions by the time
so
Remember that
Convert rev/sec to rad/sec
assume 
Answer:
a.0.8664
b. 0.23753
c. 0.15866
Step-by-step explanation:
The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between
a. N164.50 and N185.50?
b. greater than N180.00?
c. less than N168.00?
We solve the above question using z score formula
z = (x-μ)/σ/√n where
x is the raw score,
μ is the population mean = N175
σ is the population standard deviation = N42
n is random number of sample = 36
a. Between N164.50 and N185.50?
For x = N 164.50
z = 164.50 - 175/42 /√36
z = -1.5
Probability value from Z-Table:
P(x = 164.50) = 0.066807
For x = N185.50
z = 185.50 - 175/42 /√36
z =1.5
Probability value from Z-Table:
P(x=185.50) = 0.93319
Hence:
P(x = 185.50) - P(x =164.50)
= 0.93319 - 0.066807
= 0.866383
Approximately = 0.8664
b. greater than N180.00?
x > N 180
Hence:
z = 180 - 175/42 /√36
z = 5/42/6
z = 5/7
= 0.71429
Probability value from Z-Table:
P(x<180) = 0.76247
P(x>180) = 1 - P(x<180) = 0.23753
c. less than N168.00?
x < N168.
z = 168 - 175/42 /√36
z = -7/42/6
z = -7/7
z = -1
Probability value from Z-Table:
P(x<168) = 0.15866
Answer:
Step-by-step explanation:
Both numbers are integers (not fractions)
if you write an integer in scientific notation:
1) inset a comma between first and second digit (3.70000000)
2) calculate all digits on the right side of insetting comma (there are 8 digits after a comma: 7,0,0,0,0,0,0,0)
3) a fraction from point 1) you multiply by 10 to the power, which is equal to a number of digits after comma (8)
4) according this tips, you have 
5) for a better notation, you may remove ending zeros
Answer:
AB= 3/3 simplified= 1
BC= 2/4 simplified = 1/2
CD= 3/3 simplified = 1
DA= 2/4 simplified =1/2
Step-by-step explanation:
Answer:
2 sweatshirts per student
Step-by-step explanation:
I'm not sure whether or not I understood this problem correctly, but I tried my best. Try to make your questions more clear in the future.
($35 per ticket * 16 students) + ($19 per sweatshirt * X sweatshirts sold) = $960
$560 from the sweatshirt + 19X = 960
19X = 960 - 560 = $400
X = 21 sweatshirt sold overall
Number of sweatshirt sold per student = 21/19 = 1.105 ---> 2 per student
