<u>Given</u>:
Four lines are marked proportion, the length of TW can be determined by

<u>Value of a:</u>
Let us set the proportion for the given lines.
Thus, we have;



Thus, the value of a is 5.6
<u>Value of b:</u>
Let us set the proportion for the given lines.
Thus, we have;



Thus, the value of b is 5.
<u>Length of TW:</u>
The length of TW is given by


Thus, the length of TW is 13.6
C. I think so I don't know but that's what I think...
Answer:
p = 8
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 a₉ = 4 + 5p and d = 5, then
a₁ + 8d = 4 + 5p, that is
a₁ + 8(5) = 4 + 5p
a₁ + 40 = 4 + 5p ( subtract 40 from both sides )
a₁ = 5p - 36
a₂ = 5p - 36 + 5 = 5p - 31
a₃ = 5p - 31 + 5 = 5p - 26
a₄ = 5p - 26 + 5 = 5p - 21
Given that the sum of the first 4 terms = 7p - 10, then
5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is
20p - 114 = 7p - 10 ( subtract 7p from both sides )
13p - 114 = - 10 ( add 114 to both sides )
13p = 104 ( divide both sides by 13 )
p = 8
Answer with explanation:
Given : The heights of a certain population of corn plants follow a normal distribution with mean
and standard deviation 
a) Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence, 34.73% of the plants are between 135 and 155 cm tall.
b) Sample size : n= 16
Using formula
, the z-value corresponds to x= 135 will be

At x= 155, 
The probability that plants are between 135 and 155 cm tall :-

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%
The answer is 24 to the 4th power