Answer:
Binomial = 0.8724
Normal approximation = 0.873
Step-by-step explanation:
Given that :
Sample size (n) = 20
p = 0.6
q = 1 - p = 1 - 0.6 = 0.4
.using normal approximation :
Mean = np
Mean (m) = 20 * 0.6 = 12
Standard deviation (s) = √npq
s = √(20 * 0.6 * 0.4) = 2.1908902
Probability of 10 or more lines in use :
p(x ≥ 10)
Applying for correction:
p(x ≥ 10 - 0.5) = p(x ≥ 9.5)
Using the z formula :
Z = (x - m) / s
Z = (9.5 - 12) / 2.1908902
Z = - 1.141
p(Z > - 1.141) = 0.87307 (Z probability calculator)
p(Z > - 1.141) = 0.873
Using the binomial distribution :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)
Using calculator :
p(x ≥ 10) = 0.87247
= 0.873
Answer:
I don't know
Step-by-step explanation:
could you screenshot your question or reword it. I don't know what you're asking. Sorry.
Answer:
D- 18
Step-by-step explanation:
We simply need to divide the amount of wood she has by amount of wood that she needs for each statue.
She uses a 3 foot piece of wood and she needs 1/6 foot of wood for each statue.
Therefore, the number of statues she can make is:
She can make 18 statues.
Answer:
<u>The correct answer is C. 21x³y</u>
Step-by-step explanation:
Let's simplify the product, this way:
(49x²y)^1/2 * (27x⁶y^3/2)^1/3
Let's recall that x^1/2 = √x and x^1/3 = ∛x
√(49x²y) * ∛(27x⁶y^3/2)
7x √y * 3x² √y
Let's recall that √y * √y = √y² = y
21x³y
<u>The correct answer is C. 21x³y</u>
