1) 26 different outcomes are in the sample space.
2) 1 / 26 is the probability that the computer produces the first letter of your first name.
<u>Step-by-step explanation:</u>
<u>1) You have to find out the different outcomes in the sample space :</u>
- A "Sample space" is defined as the set of all the possible outcomes of an event.
- Here, the given event is randomly selecting a letter from the alphabets.
Therefore, the sample space must contain all the possible alphabets that can be chosen randomly.
The sample space is the set of all the 26 alphabets in English language.
⇒ Sample space = {A,B,C,D...........,Y,Z}
⇒ 26 different outcomes.
<u>2) The probability the computer produces the first letter of your first name :</u>
Here, the required outcome is getting the first letter of your first name.
Probability = No. of required outcomes / total no. of outcomes.
For example, The name Alex Davis has the first letter of the fist name as alphabet 'A'.
∴ Probability = 1 / 26
Similarly, for any first name there is going to be any one alphabet from the 26 alphabets, thus the probability to get the first letter will be always 1 / 26.
Answer:
14.04 miles per hour
Step-by-step explanation:
The problem is asking for Izumi's speed. The formula of speed is:
- s =
, where "s" means speed, "d" means distance and "t" means time.
The problem is also asking for the unit<u> miles per hou</u>r (
) so, this means that we have to know how many miles Izumi ran, given that the problem only mentioned<u> yards (110 yards).</u>
Let's convert 110 yards to miles, provided that he Izumi ran 1,760 yards in a mile.
- 110 yards ÷ 1760
= 0.0625 miles (this is the distance covered by Izumi in miles)
Let's go back again to the formula: s =
s = 
= 0.0039 
Since, the we arrived at a miles per second unit, we have to convert it to miles per hour.
So, if a minute has 60 seconds, then an hour has 3,600 seconds.
Thus, 0.0039 × 3,600 
= 14.04 miles per hour (the answer)
24/2=12
The unit rate is 12 packets per pound.
Hope this helps!
Answer:The radius of Betelgeuse is about 5 × 1011 meters, and the radius of Venus is about 6 × 106 meters.
Step-by-step explanation:
because the 500 billion Has 11 0s so it will be 5 x 10^11
6,000,000 has 6 0s so it will be 10^6
Answer:
x = 30 degrees
Step-by-step explanation:
Since the lines are parallel, these angles can be seen as vertical angles, which are always the same as their opposite. Therefore,
75 = 2x + 15
To solve this, you would subtract 15 from both sides, getting you closer to finding x.
75 = 2x + 15
-15 - 15
60 = 2x
Lastly, you would divide both sides to get your value for x.
60 = 2x
/2 /2
30 = x
