Hey there!
The perimeter of the floor plan is 30 inches.
Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30
The area of the floor plan is 54 inches²
Area is length x width, so we can do 9 x 6 = 54
The perimeter of the actual size is 105 feet
First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:
9 x 3.5 = 31.5 feet
6 x 3.5 = 21 feet
Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105
The area of the actual size is 661.5 inches²
Area is length x width, so we can do 31.5 x 21 = 661.5
Hope this helps! Tell me if you need more help.
12) Angle ACD= Angle ABC+ Angle CAB ====> You MAY end here
That is, Angle ACD= 132+21
Angle ACD= 153
13) Angle ABC+ Angle BAC= Angle ACD====> You MAY end here
That is, Angle ABC +16=143
-16= -16
Angle ABC=127
The odds ot landing on an odd or an even number are the same. So the probability of landing on an odd number is 50%.
Answer:
<h3>
The reason which is incorrect is in Step 2 and reason 2</h3>
Step-by-step explanation:
Given that Logan's equation is 
<h3>To simplify and find the which reason is incorrect :</h3>
Logan's solution and reasoning for solving an equation are shown below:
Step1 
Reason 1: Given
Step2 
Reason 2: Addition Property of Equality
Step3 
Reason 3: Simplify
Step4 
Reason 4: Division Property of Equality
Step5 
Reason 5: Simplify
<h3>
The reason which is incorrect is in Step 2 and reason 2</h3><h3>
The corrected steps are</h3>
Step1 
Reason 1: Given
Step2 
Reason 2: Distributive property
Step3 
Reason 3: Simplify
Step4 
Reason 4: Addition Property of Equality
Step5 
Reason 5: Simplify
Step6 
Reason 6: Division Property of Equality
Step7 
Reason 7: Simplify
<h3 />
Answer:
(1) The correct answer is option (a) 0.510
(2) The correct answer is option (b) = 0.9664
(3) The correct answer is option (a) 0.8665
Step-by-step explanation:
1. Find attached of question 1
2.
n= 850
p= 0.1400
here mean of distribution(μ) =n*p
=850* 0.1400
= 119
standard deviation σ = √(np(1-p))
= √(850*0.1400(1-0.1400))
= √102.34
=10.1163
for normal distribution z score =(X-μ)/σx
therefore from normal approximation of binomial distribution and continuity correction:
probability = P(X>100.5)
= P(Z>-1.83)
= 1-P(Z<-1.83)
= 1-0.0336
= 0.9664
3.
n = 1000
p = 0.08
mean of distribution(μ) =np
= 1000*0.08
= 80
and standard deviation σ=√(np(1-p))
= √(1000*0.08(1-0.08))
= √736
= 8.5790
probability = P(X>70.5)
= P(Z>-1.11)
= 1-P(Z<-1.11)
= 1-0.1335
= 0.8665