Answer:
42 and 6
Step-by-step explanation:
Answer:
C. 184 ft²
Step-by-Step Explanation:
The formula for the surface area of a triangular prism is
SA = bh + 2ls + lb; where b = base, h = height, l = length, s = side
First, substitute the known value into the equation:
b = 6 ft
h = 4 ft
l = 10 ft
s = 5 ft
SA = (6)(4) + 2(10)(5) + (10)(6)
Then, all we have to do is simplify:
SA = 24 + 2(50) + 60
SA = 24 + 100 + 60
SA = 184 ft²
Hope this helps!
Answer:
The correct answer is 0.94147
Step-by-step explanation:
Let A denote the event that the podiatrist finds the first person with an ingrown toenail.
And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.
While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:
= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.
= 
= 
= 0.94147
We can also solve the above expression by using the geometric progression formula as well where common ratio is given by 
.
Answer:
Step-by-step explanation:
A)
"In the last 2.5 years, the water level has decreased 0.75 feet."
In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows
2.5 x - 0.3 = - .75 ft .
So the statement is true.
B)
"The overall change of the water level after 7.5 years will be -2.75 feet."
This statement appears to be false based on information provided
No prediction regarding rate of decrease for a period beyond 5 year has been made so any statement with respect to a timeline of 7.5 years may turn out to be false.
C)
"The change in water level each year for the next 5 years will be -0.4 feet.
"
This statement prima-facie appears to be true because rate of decrease stated in the statement is 0.4 ft /year for next 5 years .
D )
"The overall change in water level for the next 5 years is equal to 5(0.4)"
this statement is true
as change in one year = .4
change in 5 years = 5 x .4
