Answer: 3.8
Step-by-step explanation:first, you need to figure out what side you’re looking for. Side AC is opposite of the angle you’re given. They also give you length of side AB which is 4. That is the hypotenuse (side directly across from right angle). So, you have the hypotenuse, and need the find the opposite side measure. Which option uses opposite and hypotenuse? That’s Sin. So, you would do: sin70 = ? / 4.
sin (of given angle)= opposite / hypotenuse.
Sin (70 degrees) = ? / 4
Then you solve for “?”
Type sin70 into your calculator, then multiply both sides by 4 to get “?” by itself. You should get 3.758770483, which rounds to 3.8
<span>8 months to simplified fraction of a year:
There are 12 months in a year.
8 month = 8/12 = 2/3</span>
Answer:
Mean = 6.25
Step-by-step explanation:
Data values: 4, 5, 6, 10
Mean = (Sum of all values)/(Number of values)
Mean = (4 + 5 + 6 + 10)/4
Mean = 25/4
Mean = 6.25
The answer would be True because the sequence is constant
Answer:
Loss of $1.20
Step-by-step explanation:
The possible outcomes for this lottery and their probabilities are:
- a 1 in 100 chance of winning $450
- a 2 in 100 chance of winning $120
- a 4 in 100 chance of winning $30
- a 93 in 100 chance of losing $10
Therefore, the expected value of this lottery when buying one ticket is:

Therefore, you are expected to lose $1.2 per ticket.