Answer:
The required probability is 
Step-by-step explanation:
The probability of obtaining a defective item from container 1 is 
The probability of obtaining a good item from container 1 is 
The probability of obtaining a defective item from container 2 is 
The probability of obtaining a good item from container 2 is 
The cases of the event are
1)Defective item is drawn from container 1 and good item is drawn from container 2
2)Defective item is drawn from container 2 and good item is drawn from container 1
Thus the required probability is the sum of above 2 cases
Answer:
Step-by-step explanation:
The first step is to add -5 to both sides:
The next step is to divide 3 on both sides:
Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
_____
When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
Answer:
a) 47
b) 3
c) 1
d) 2
e) 47
f) 3
Step-by-step explanation:
read the textbook
