Answer will be D. Absolute value can never be negative.
Answer:
3
Step-by-step explanation:
first term a= 2
last term tn= 32
common ratio r= -2
number of terms
= tn=ar^n-1
32 = 2*(-2)^n-1
divide both sides by 2
32/2 = 2*(-2)^n-1/2
16 = (-2)^n-1
Then...use 16 in the power of 2
(-2)^4 = (-2)^n-1
The bases (-2), cancels out
so we have: 4 = n-1
collect like terms
4-1 = n
3 = n
n= 3
Answer:
mean and range
arrangement before: 24,25,25,26,27
arrangement after: 24,25,25,25,26,27,28
mean before: (27+25+24+26+25)/5 = 25.4
mean after: (27+25+24+26+25+25+28))/5 = 25.7
median before: 25
median after: 25
mode before: 25
mode after: 25
range before: 24 to 27
range after: 24 to 28
hence, the mean and range were affected while the median and mode remained unchanged.
If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰
<h3>How to find the probability no letters are repeated?</h3>
First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:
= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26
= 6.156 x 10³⁶ possibilities
If the numbers are not to be repeated then the possibilities are:
= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14
= 64764752532480000 possibilities
The probability that no letters are repeated is:
= 64764752532480000 / 6.156 x 10³⁶
= 0.0000000000000000000105
= 1.05 x 10⁻²⁰
Find out more on probability at brainly.com/question/8994028
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