Answer:
x° = 62
Step-by-step explanation:
The vertical angle to 28 degrees is 28 degrees in size.
The vertical angle to 90 degrees is 90 degrees in size.
Angles in a circle add up to 360 degrees.
x + 28 + 152 + 28 + 90 = 360
x + 298 = 360
x = 360 - 298
x = 62
Angle x is 62 degrees in size.
We're given the following probabilities:
(a) Yes, 
and 
are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.
(b) Use the definition of conditional probability to expand:
(c) By the law of total probability,
(d) Bayes' theorem says
Answer:
x = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle
sin 45 = opp side/ hypotenuse
sin 45 = 8/x
Multiply each side by x
x sin 45 = 8/x *x
x sin 45 = 8
Divide each side by sin 45
x sin 45 /sin 45 = 8 /sin 45
x = 8 / sin 45
We know sin 45 = 1/ sqrt (2)
x = 8 / 1 / sqrt(2)
x = 8 sqrt(2)
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
Answer:
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 64
Sample mean = 22.3
Sample standard deviation = 8.8
We want to estimate 92% confidence interval.
92% Confidence interval:
Putting the values, we get,
Degree of freedom = n - 1 = 63
