Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides
6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )
- 7a₁ + 30d = 156d ( subtract 30d from both sides )
- 7a₁ = 126d ( divide both sides by - 7 )
a₁ = - 18d
Now
a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required
When i divide into ratio, i like to think of them as units:
so 24 will be divided into units, where the first thing gets 3 units and the second 5 units. In total those are 3+5=8 units.
so each unit will have 24/8=4
so the division into the two numbers is like this: the first one gets 3 units (3*4=12) and the second 5 (5*4=20)
so it's 12:20.
Answer:
1/4 inches
Step-by-step explanation:
Answer:
45 candidates are expected to be rejected
Step-by-step explanation:
Here, we want to calculate the number of candidates to be rejected
The number of candidates to be rejected can be calculated from;
100% - (28% + 12%) = 60%
So 60% of the 75 interviewed are to be rejected
Thus, we have
60/100 * 75
= 45
There are 7,800 different passwords.
<h3>
How many different passwords can be generated?</h3>
Here we need to count the number of options for each of the digits of the password.
The first character has 26 options (26 letters in the alphabet).
The second character has 10 options (ditis from 0 to 9), and also does the third character
The fourth character has 3 options (%,*, or #)
The total number of different passwords that can be generated is given by the product between the numbers of options, so we have:
C = 26*10*10*3 = 7,800
There are 7,800 different passwords.
If you want to learn more about combinations:
brainly.com/question/11732255
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