For the given median 27.5, the missing value of the sequence is 32.
<h3>What is the Median?</h3>
The middle value in a collection of numbers is known as the median. The numbers must first be sorted, or ordered, in value order from lowest to highest or highest to lowest in order to find the median value in a series of integers.
Given the values are -
Let the given value = x
5, 12, 23, 41, 51, x
The median of number is sum of 2 middles numbers divided by 2
median = (3 term + 4 term) / 2
27.5 = (23 + x) / 2
55 - 23 = x
x = 32
The missing value for the given sequence is 32.
The complete sequence is -
5, 12, 23, 32, 41, 51
To learn more about median from given link
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Answer: see below
Step-by-step explanation
Let 2 + a = 11 x
Let 35 - b = 11 y
Where x and y are any unknown integer
subtract the two equations
- 33 + a + b = 11 (x+y)
a+ b = 11 (x+ y) +33
a+ b = 11 (x+y) + 3 (11)
a+ b = 11(x+ y+3)
Which proves that a+b is a factor of 11
Answer:
7×7×7
Explanation:

When a number is raised to a power, it means that the number is multiplying itself as many times as the number written as the power.
QUESTION 1
The given logarithm is

We apply the power rule of logarithms; 

We now apply the product rule of logarithm;


QUESTION 2
The given logarithm is

We apply the power rule of logarithm to get;

We apply the product to obtain;

We apply the quotient rule; 

![=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})](https://tex.z-dn.net/?f=%3D%5Clog_5%28%5Cfrac%7Bx%5E8%20%5Csqrt%5B4%5D%7By%5E3%7D%20%7D%7Bz%5E5%7D%29)
Answer:
0.5358
Step-by-step explanation:
Given
mean = μ = 13.2 inches
and
SD = σ = 2.2 inches
We have to find z-score for the given value 13.4 first
z-score = (x-μ)/σ
= (13.4-13.2)/2.2
=0.2/2.2
=0.0909
We have to find the area to the left of given z-score
The area to the left is 0.5358
So, the probability of choosing an item with length less than 13.4 is 0.5358 ..