Answer:
I believe it is C because i heard of that one before
Answer: 5/16
Step-by-step explanation: because the bottom is 16 and the others are bigger numbers
Answer:
Confidence interval = ( 0.7991, 0.8647 )
Step-by-step explanation:
Sample size = n = 351
number of successes = X = 292
Sample proportion = P = 
= 
= 0.831908831
confidence interval = 90%
Critical Z value = 1.6449 [by using excel]
Confidence interval = P ± Z 
Where P = Sample proportion
Z = critical value
n = sample size
Confidence interval = 0.831908831 ± 1.6449 
= 0.831908831 ± 1.6449 × 0.0200
= 0.831908831 ± 0.032898
Lower limit = 0.831908831 - 0.032898 = 0.7991
Upper limit = 0.831908831 + 0.032898 = 0.8647
Confidence interval = ( 0.7991, 0.8647 )
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin(
)sin (
)
sin x - sin y = 2cos (
)sin (
)
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin(
)sin(
) ]² + [ 2cos(
)sin(
) ]²
= 4sin² (
)sin² (
) + 4cos² (
)sin² (
)
= 4sin² (
)[ sin² (
) + cos² (
) ← sin²x + cos²x = 1
= 4sin² (
) × 1
= 4sin² (
) = right side ⇒ proven