Answer:
Likely
First option is correct.
Step-by-step explanation:
The probability for occurring the event = 95% = 0.95
Let us understand different types of events:-
- Certain events: If the probability of occurring an even is 1, then it is a certain event.
- Impossible events: If the probability of occurring an even is 0, then it is a impossible event.
- Likely events: If the probability of occurring an even is close to 1, then it is a likely event.
- Unlikely events: If the probability of occurring an even is close to 0, then it is a unlikely event.
Now, the probability for occurring the event = 95% = 0.95, which is close to 1.
Hence, we can conclude that the event is likely.
First option is correct.
Answer:
n = 60.22
Step-by-step explanation:
Hello
To find Sn, we need to draw out equations for each a₇ and a₁₉
In an arithmetic progression,
Sn = a + (n-1)d
Where Sn = sum of the A.P
a = first term
d = common difference
a₇ = 32
32 = a + (7-1)d
32 = a + 6d ........equation (i)
a₁₉ = 140
140 = a + (19-1)d
140 = a + 18d .........equation (ii)
Solve equation (i) and (ii) simultaneously
From equation (i)
32 = a + 6d
Make a the subject of formula
a = 32 - 6d .....equation (iii)
Put equation (iii) into equation (ii)
140 = (32 - 6d) + 18d
140 = 32 - 6d + 18d
Collect like terms
140 - 32 = 12d
12d = 108
d = 108 / 12
d = 9
Put d = 9 in equation (i)
32 = a + 6(9)
32 = a + 54
a = 32 - 54
a = -22
When Sn = 511
Sn = a + (n - 1)d
Substitute and solve for n
511 = -22 + (n-1) × 9
511 = -22 + 9n - 9
511 = -31 + 9n
511 + 31 = 9n
542 = 9n
n = 542 / 9
n = 60.22
100% of anything is the whole thing.
101% of it is more than the whole thing.
150% of it is the whole thing plus half of another one.
First, find the difference between the original price and the reduced price;
65 - 45 = $20 difference
Then, divide the difference by the original amount;
20/65 ≈ 0.3077
Then, multiply this by 100 to convert the decimal into a percentage;
0.3077 * 100 = 30.77%
The percent of change would be about 30.77%
