Answer: A = 7 unit^2
Explanation:
First let’s cut the shape into 1 square and 1 trapezoid.
After that we can calculate the 2 polygons individually
Find area of square:
A = 2 x 2 = 4
Find area of trapezoid:
A = (2 + 1)2/2 = 3
Find area of the whole shape
<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The most famous of the step functions is the greatest integer function, which is denoted by the parent function ![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
.
So, this function is defined as:
![f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D%20%5C%20the%20%5C%20greatest%20%5C%20integer%20%5C%20less%20%5C%20than%20%5C%20or%20%5C%20equal%20%5C%20to%20%5C%20x)
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at 
and 
in the interval 
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function ![F(x)=[x]-2](https://tex.z-dn.net/?f=F%28x%29%3D%5Bx%5D-2)
represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
23. If M' represents the complementary, then is the answer A.
24. The answer is C.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.
If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?
Given Information:
standard deviation = σ = 30 hours
confidence level = 99%
Margin of error = 6 hours
Required Information:
sample size = n = ?
Answer:
sample size = n ≈ 165
Step-by-step explanation:
We know that margin of error is given by
Margin of error = z*(σ/√n)
Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size
√n = z*σ/Margin of error
squaring both sides
n = (z*σ/Margin of error)²
For 99% confidence level the z-score is 2.576
n = (2.576*30/6)²
n = 164.73
since number of bulbs cannot be in fraction so rounding off yields
n ≈ 165
Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.
-1/4
I really hope this helps
