Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?

is the probability of the first sprinkler being triggered and activated. So:

is the probability of the second sprinkler being triggered and activated. So:


There is an 85% probability that the sprinkler head will be activated.
Water used for shower = 10.6 x 7 = 74.2 liters
Water used for bath = 35 x 120 x 40 = 168 000 cm³ = 168 liters
Difference = 168 - 74.2 = 93.8 liters.
Answer: She saved 93.8 liters of water by showering instead of taking a bath.
<u>Answer:</u>
• Equation = 
• length = 56 ft
• width = 32 ft
<u>Step-by-step explanation:</u>
The ratio of the length to width is 7:4.
∴ 
⇒
[Equation 1]
We know that the perimeter of the garden is 176 feet.
∴ 
⇒ 
⇒
[From Equation 1]
⇒ 
⇒ 
⇒ 
⇒ 
We know from Equation 1 that:
∴ 
⇒ 
8 percent of 84000 is 6720 add 2500 equals 9220