Answer:
0.2241 ; 0.9437
Step-by-step explanation:
Number of independent normal observations = 55
Mean(m) = 100
Variance of first 50 = 76.4
Variance of last five = 127
Probability that first observation is between 98 and 103
Zscore = x - m / sqrt(v)
For x = 103
Zscore = (103 - 100) /sqrt(76.4) = 0.34
For x = 98
Zscore = (98 - 100) / sqrt(76.4) = - 0.23
P(Z < - 0.23) = 0.4090
P(Z < 0.34) = 0.6331
0.6331 - 0.4090 = 0.2241
B) 1/n²Σ[(X1.V1) + (X2. V2)]
1/55²[(50*76.4) + (5*127)]
1/55² [3820 + 635]
1/55² [4455]
4455/3025
= 1.4727
Hence, variance of entire sample = 1.4727
X = 98 and 103
Zscore = x - m / sqrt(v)
For x = 103
Zscore = (103 - 100) /sqrt(1.4727) = 2.47
For x = 98
Zscore = (98 - 100) / sqrt(1.4727) = - 1.65
P(Z < - 1.65) = 0.0495
P(Z < 2.47) = 0.9932
0.9932 - 0.0495 = 0.9437
Answer:
C
Step-by-step explanation:
From the table we see that
Thus, the inverse function has the rule
This gives us that ordered pairs
are on the graph of the inverse function
The anwser is 0.14 per ounce
Answer:
Step-by-step explanation:
Given that, a series of triangle,
For the sine and cosine to be equal, then,
Sinθ = Cosθ
From, trigonometry identities
Sinθ = Cos(90-θ)
Then,
θ = 90-θ
θ + θ = 90
2θ = 90
θ = 90 / 2
θ = 45°
From the triangle given, using trigonometry ratio,
Sinθ = opposite / hypotenuse.
Sinθ = 20 / 25
Sinθ = 0.8
θ = arcsin(0.8)
θ = 53.13°
The other angles at the triangle is
90-53.13 = 36.87°.
Answer:
The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.
Step-by-step explanation:
4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66
66 ÷ 10 = 6