Answer:
a. 0.17
b. 0.95
Step-by-step explanation:
The key to answering both questions is that we should understand that the probability of an event happening = 1 - the probability of the event not happening
Firstly, we want to calculate the probability of less than four
Probability of less than four = 1 - probability of four or more heads
that is 1 - 0.83 = 0.17
Probability of less than 8 = 1 - probability of 8 or more = 1-0.05 = 0.95
Answer:

Step-by-step explanation:
The formula for simple interest is

where <em>p</em> is the principal, <em>r </em>is the rate, and <em>t</em> is the time.
The principal, or initial amount is $800 and the time is 5 years The interest rate is 2.5%, but we must convert to a decimal.
Divide by 100 or move the decimal place two spots to the left.
- 2.5/100=0.025 or 2.5 ⇒ 0.25 ⇒ 0.025
Substitute the known values into the formula.


Multiply.

After 5 years, Suzette's account has earned $100.00
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:
1/64
Step-by-step explanation:
Answer:
X/15 = 32/20
x = 24 ft
Step-by-step explanation:
X/15 = 32/20
x = 24 ft