Answer:
Statement A is true.
Step-by-step explanation:
A. If the group sells 15 prints, they will lose $85.
B. If the group sells 12 prints, they will lose $204.
C. If the group sells 35 prints, they will make $935.
D. If the group sells 28 prints, they will lose $136.
f(p) = 17p - 340
p = prints
f(p) = profit
Let's check the statements to see which one is true.
A. 17.15 - 340 = - 85 OK!
B. 17.12 - 340 = -136 (false, they will lose $136)
C. 17.35 - 340 = 255 (false, they will make $255)
D. 17.28 - 340 = 136 (false, they will make $136)
For the function
We can use the formula for the axis of symetry, which is
With the values substituted, we get...
Therefore the axis of symmetry is
Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
Answer:
p hat≈N(0.34,0.0273)
Step-by-step explanation:
Given information p=0.34
Number of random samples=300
The sampling distribution of p hat is
p∧≈N(0.34,\sqrt{\frac{0.34(1-0.34)}{300}})
≈N(0.34,0.0273)
