Answer:
d. Approximate the standard normal distribution with the Student's t distribution
(0.2199 ; 0.2327)
Step-by-step explanation:
Given that :
Sample size, n = 31
Sample mean, xbar = 0.2258
Sample standard deviation, s = 0.0188
Confidence interval (C. I) :
xbar ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Degree of freedom, df = n - 1 = 31 - 1 = 30
Tcritical value :
T0.05/2, 30 = 2.042
Margin of Error = 2.042 * 0.0188/sqrt(31)
Margin of Error = 0.0068949
C. I = 0.2258 ± 0.0068949
Lower boundary : (0.2258 - 0.006895) = 0.2189
Upper boundary : (0.2258 - 0.006895) = 0.2327
(0.2199 ; 0.2327)
Answer:
434
Step-by-step explanation:
29-20=9
20-11=9
9*47=423
423+11=434
Answer:
Orange Juice
Step-by-step explanation:
It has a sweet taste to it
Answer:
x(θ) = 5 tan θ
Step-by-step explanation:
Given that:

we are to state the trigonometric substitution to be used to find the indefinite integral.
Suppose u is the variable and a is the constant
u = x
a = 5
So; (a² + x²)ⁿ
which is a trigonometric substitution for x = a tanθ
Then,
x(θ) = 5 tan θ