The answer is 47 degrees because the 47 angle and the b angle are opposite angles. This means they are EQUAL to each other.
Consider this population data set: 4,6,7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ran
Andrej [43]
Answer:
The population mean is the sum of the 12 data set values divided by 12:
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean = 186/12 = 15.5.
The sample mean is the sum of the 4 sample values divided by 4:
11 + 31 + 22 + 12 = 76.
Therefore the sample mean = 76/4 = 19.
The sample mean is more than the population mean by 19 - 15.5 = 3.5.
hope it helped
Step-by-step explanation:
This question is incomplete, the complete question is;
X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)
Answer:
P( W> 10) is 0.1587
Step-by-step explanation:
Given that;
X ⇒ N( 13.9, 5.2 )
Y ⇒ N( 6.9, 3.8 )
W = X - Y
Therefore
E(W) = E(X) - E(Y)
= 13.9 - 6.9 = 7
Var(W) = Var(X) + Var(Y) -2COV(X.Y)
[ COV(X,Y) = 0 because they are independent]
Var(W) = 5.2 + 3.8 + 0
= 9
Therefore
W ⇒ N( 7, 9 )
so
P( W > 10 )
= 1 - P( W ≤ 10 )
= 1 - P( W-7 /3 ≤ 10-7 /3 )
= 1 - P( Z ≤ 1 ) [ Z = W-7 / 3 ⇒ N(0, 1) ]
from Standard normal distribution table, P( Z ≤ 1 ) = 0.8413
so
1 - P( Z ≤ 1 ) = 1 - 0.8413 = 0.1587
Therefore P( W> 10) is 0.1587
Answer:
Step-by-step explanation:
Let s represents the total Israel's savings.
Israel added $80 to his savings. Hence, he then had $(s+80).
This added amount represents 
of his total savings. of his total savings is
Therefore,
Answer:
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