Answer:
X² = 13.5
Degree of freedom = 6
0.04
Step-by-step explanation:
Give the following :
Number of samples (n) = 7
Population standard deviation (σ) =.4 minutes
Sample standard deviation (s) = 6
Mean battery life = 60 minutes
A) Chisquare (X²) :
X² = ((n - 1) * s²) / σ²
X² = ((7 - 1) * 6²) / 4²
X² = (6 * 6²) / 4²
X² = (6 * 36) / 16
X² = 216 / 16
X² = 13.5
B.) The degree of freedom:
degree of freedom = n - 1
Degree of freedom = 7 - 1 = 6
C.) using a chisquare distribution calculator :
With degree of freedom (df) = 6
X² = 13.5
Hence,
P(X² > 13.5) = 0.04 ( from calculator)
Answer:
(A) and (B)
Step-by-step explanation:
The inverse property of Logarithms is
㏒a = x or a^loga(x) = x
Using this property we check each option
(A) Log2(2^4) = 4 correct
(B) 2^log2(4) = 4 correct
(C) 2^log 4(2) 4 incorrect ( it equal to )
(D) log2(4^2) 2 incorrect ( it is equal to 4)
(E) 2^log4(4) 4 incorrect ( it is equal to 2)
F) 4^log2(4)4 incorrect ( it is equal to 16)
Answer:
Im pretty sure it's 6
Step-by-step explanation:
Answer:
x² + 6x + 5 = 0
Step-by-step explanation:
Given
x² + 6x + 8 = 3 ( subtract 3 from both sides )
x² + 6x + 5 = 0 ← in standard form
Answer:
a) 0.5 is the probability of students who selected the stated option.
b) =0.8 is the probability of students who choose the stated option.
c) E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
Step-by-step explanation:
Solution:
Number of students assigned to guilty state = 57
Number of students choose stated option = 45
Randomly Selected students =10
a) Find p(x=5)
x is the number in a sample of 10, who choose the stated option.
Sample number p(s) = 10
P(x) = 5
Probability = p(x) / p(s)
= 5/ 10
=0.5
0.5 is the probability of students who selected the stated option.
(b) Find p(x=8)?
Sample number p(s) = 10
P(x) = 8
Probability = p(x) / p(s)
= 8/ 10
=0.8 is the probability of students who choose the stated option.
(c) Expected (mean) value of x?
The expected value can be calculated by multiplying the probability of an event by the event's amount of times.
E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10