Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

For the next unique toy, there is now a 3 in 5 chance of getting it:

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

Finally, there is a 1 in 5 chance to get the last unique toy:

The expected number of boxes to obtain a full set is:

2. measurements can be any to complementary angles.
for example, 60 & 30
3. the 2 sides are equal. Since it is an isosceles triangle.
4.an equi.triangle can never be right angled. Since, all angles are 60° in an equi.triangle.
5. right triangle can never have an obtuse angle since one angle is already 90°. therefore the other two agles are supposed to be acute angles.[ since sum of all angles in a triangle is 180°]
1 foot = 12 inches.
5 ft x 12 inches per foot = 60 inches.
60 inches + 10 inches = 70 inches.
Sara was 70 inches tall.
Now convert to centimeters:
70 inches x 2.54 centimeters per inch = 177.8 cm's.
Round to nearest centimeter = 178 cm's.
Answer:
T = 2
Step-by-step explanation:
Take the given formulaer
I = PRT
And plug in the variables you know (I, P, R)
387.50 = 1,550(.125)T
(12.5% becomes .125 after you divide it by 100, because precents are really just fractions out of 100)
387.50 = 193.75T
T = 2
Answer: the golf ball with hit the ground again after 2.75 seconds
Step-by-step explanation:
The movement of the golf ball from the ground follows the equation h(t)=-16t^2+44t,
where t is the time in seconds, and h(t) is the height of the ball at a given time t
By the time the golf ball hit the ground, the height from the ground would be zero. This means that we would equate the quadratic equation to zero. It becomes
-16t^2+44t = 0
Dividing both sides by t
16t^2/t = 44t/t
16t = 44
t = 44/16
t = 2.75