Answer:
42 square meters
Step-by-step explanation:
rectangle: 3 x 6= 18 square meters
square: 4 x 5= 20 square meters
triangle: 4 x 2 x 1/2= 4 square meters
18 + 20 + 4= 42 square meters
Answer:
D. a(b+c) = ab+ac
Step-by-step explanation:
When you distribute you multiply the number before the parenthesis by both of the numbers inside the parenthesis
Answer: a) α = 0.7927, b) at u=14.8, β = 0.99767, at u = 14.9, β= 0.2073
Step-by-step explanation: a) from the question, u= population mean = 15 and x= sample mean = 14.9
σ = population standard deviation = 0.5, n = sample size = 50.
We get the probability of committing a type 1 error by using the z score.
Z = x - u/(σ/√n)
Z = 14.9 - 15/(0.5/√50)
Z = - 0.1/0.0707
Z = - 1.41.
By checking the the probabilistic value attached to this z score using a standard normal distribution table whose area is to the left of the distribution, we have that
P(z=-1.41) = 0.7927.
Hence the probability of committing a type 1 error is 0.7927
b)
at x = 14.8 ( I let ua=x=14.8)
Z = x - u/(σ/√n)
Z = 14.8 - 15/(0.5/√50)
Z = - 0.2/ 0.0707
Z = - 2.83
Using the standard normal distribution table, we have that
P(z=-2.38) = 0.00233.
But α + β = 1
Where α= probability of committing a type 1 error
β = probability of committing a type 2 error.
β = 1 - α
β = 1 - 0.00233
β = 0.99767
At x = 14.9
Z = x - u/(σ/√n)
Z = 14.9 - 15/(0.5/√50)
Z = - 0.1/0.0707
Z = - 1.41.
P(z=-1.41) = 0.7927.
α = 0.7927.
But α + β = 1
β = 1 - 0.7927
β = 0.2073
Factor first: (sinx+1)(2sinx-1)=0
sinx+1=0 or 2sinx-1=0
sinx=-1 or sinx=1/2
0≤x≤360, so x=270, or x=30 or x=150
Answer:
$10
Step-by-step explanation:
divide $4 by 8. you get $.50. multiply that by 20 and you get $10
