Answer:5400
Step-by-step explanation:
A= 6a*2
6x9x10*2= 5400
Answer:
Look below for coordinates
Step-by-step explanation:
A: -2, 3 to A': -2, -3
B: 5, -2 to B': 5, 2
C: -5, 1 to C': -5, -1
Reflect over x-axis: (x, -y) and Reflect over y-axis: (-x, y)
Answer:
C, 39.3 in²
Step-by-step explanation:
Lets first find the area of the rectangle part of the house.
To find the area of a rectangle its base × height.
So its 6×4=24 in².
Now lets find the area of the top triangle.
Area for a triangle is (base × height)/2.
The height is 3 inches, because its 7-4. While the base is 6 inches.
(6×3)/2=9 in².
To find the area of the half circle the formula, (piR²)/2.
The radius of the circle is 2 because its half of the diamter which is 4.
(pi2²)/2=6.283 in².
Now we just need to add up the area of every part,
24+9+6.283=39.283in²
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