Answer:
172 ft
Step-by-step explanation:
Due south and due east form a 90-degree angle.
Her path is a right triangle. The 60 ft and 40 ft distances are the legs of the right triangle. We can use the Pythagorean theorem to find the hypotenuse. Then we add the lengths of the three sides to find the total distance she traveled which is the perimeter of the right triangle.
a^2 + b^2 = c^2
(40 ft)^2 + (60 ft)^2 = c^2
1600 ft^2 + 3600 ft^2 = c^2
c^2 = 5200 ft^2
c = 72 ft
perimeter = a + b + c = 40 ft + 60 ft + 72 ft = 172 ft
Answer:
a) 0.32
b) 0.68
c) office or den
Step-by-step explanation:
Locations Probabilities
Adult bedroom 0.03
Child bedroom 0.15
Other bedroom 0.14
Office or den 0.40
Other rooms 0.28
a)
P(PC in bedroom)= P(PC in adult bedroom)+ P(PC in child bedroom)+ P(PC in other bedroom)
P(PC in bedroom)= 0.03+0.15+ 0.14
P(PC in bedroom)= 0.32.
Thus, the probability that a PC is in a bedroom is 0.32.
b)
P(PC is not in bedroom)= P(PC in Office or den)+ P(PC in Other rooms)
P(PC is not in bedroom)= 0.40+0.28
P(PC is not in bedroom)= 0.68.
Thus, the probability that a PC is not in a bedroom is 0.68.
c)
When a household is selected at random from households with a PC we would expect to find a PC in a room which has a greater probability of having PC.
The greater probability of room having a PC is of Office or den room with probability 0.40. So, when a household is selected at random from households with a PC we would expect to find a PC in a Office or den room.
Answer:
$225
Step-by-step explanation:
mark rate = 80%
original price = $125
mark amount = 80% of $125
=80/100 *125
=10000/100
=$100
final price = $125 + $100
=$225
Answer:
x=11.5
Step-by-step explanation:
18+6x=41+4x
Subtract 4x from each side
18+6x-4x=41+4x-4x
18+2x = 41
Subtract 18 from each side
18-18 +2x = 41-18
2x =23
2x/2 = 23/2
x =11.5
