A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?a. The number is greater than 2.
b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.
Answers
a) 2 is part of the set and 2 is not greater than 2. NO
b) 5 and 10 in the set are divisible by 5. NO
c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES
d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO
e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO
For our given sample, the only true statement is:
c. The number is even or less than 12.
Which event, covers the entire sample space of this experiment?
The sample for the experiment is the set:
{2, 3, 4, 5, 6, 7, 8, 9, 10}
So, we need to see which ones of the statements are true for every digit in that set.
For example:
a "The number is greater than 2."
Is false, because the outcome can be 2, as 2 belongs to the set.
The true statement is:
c. The number is even or less than 12. (all the numbers are less than 12).
If you want to learn more about sets:
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Greg earns $30 per window last month.
30 + 2 = 32
Greg earns $32 per window this month.
32 x 30 = 960
Greg earns $960 for washing 30 windows this month.
Answer: $960
Answers
Answer with explanation:
When you toss a coin once , total possible outcome =2={H, T}
When you toss a coin twice , total possible outcome =2²=4={HT,TH,T T,H H}
When you toss a coin thrice , total possible outcome =2³=8
={T T T,T TH, T HT,H T T,H HT,H TH,T H H,H H H}
When you toss a coin 4 times , total possible outcome
={T T T T, T T TH, H T T T,T H T T,T T HT,T T H H,H H T T,T H HT,H T TH,H TH T,T H TH, H H HT,H T H H,TH H H,H H TH,H H H H}
=16
There are 16 possible outcomes in all.
So, total number of leaves needed on the tree Diagram = 16 Leaves
Answer: 16
Find the 50th term.
Answers
Answer:
447
Step-by-step explanation:
a₁ = 6 + 9*0
a₂ = 6 + 9*1
a₃ = 6 * 9 * 2
......
a₅₀ = 6 + 9*49 = 447
Answers
Interest = 180
term = 1 year
Interest rate = 2%
We need to get the principal amount using the simple interest formula.
Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal
Benson pays an additional interest of 9,000 each year. A monthly payment of 750.
9,000 / 12 months = 750 per month.
Based on the amount that Benson could earn if he invested the additional interest for one year, the additional interest per month is $750.
What additional interest is Benson paying?
This can be found by the formula:
= (Simple interest amount earned / Number of months in year) / Simple interest rate
Solving gives:
= (180 / 12) / 0.02
= 15 / 0.02
= $750
Find out more on additional interest at brainly.com/question/27037531.
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Answers
wish it helps
Answers
Answer:
3 miles per hour
Step-by-step explanation:
We know
Jayla ran the first 3 miles of a 5-mile race in an hour.
What was her average rate, in miles per hour, for this first part of the race?
Average rate = Distance / Time
We take
3 ÷ 1 = 3 miles per hour
So, the answer is 3 miles per hour.