A. 18+2 = 20 abs 18-2= 17
I think it’s b but don’t take my word for it
Answer:
<u>The probability that the first card is gray and the second card is pink= 5/78</u>
Step-by-step explanation:
A deck of cards has a 5 pink, 2 gray, And 6 black cards.
The total cards = 5 + 2 + 6 = 13
You pick two cards from the deck without replacement.
The probability that the first card is gray = 2/13
The remaining cards = 13 - 1 = 12
The probability that the second card is pink = 5/12
So,
The probability that the first card is gray and the second card is pink =
= 2/13 * 5/12 = 10/156 = 5/78
Step-by-step explanation:
area of sector =x°/360×π×r²
1unit²=x°/360×π×45²
360=x°×π×2025
i think this is your answer.
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
