Answer:
18π mm
Step-by-step explanation:
C=2πr
d=2r, 18=2r, r=9
C=18π mm
Answer:
Step-by-step explanation:
Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.
Answer:
0
0.693
1.386
graph A
Step-by-step explanation:
Answer:
3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm
Step-by-step explanation:
The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.
We can make a system of equations: l * w = 72, l = 2w
Substitute: 2w * w = 72
Simplify: 2 * w² = 72
Divide: w² = 36
Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)
Substitute: l = 2 * 6 m
Simplify: <em>l = 12 m</em>
This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.
Answer:
the probability that the project will be completed in 95 days or less, P(x ≤ 95) = 0.023
Step-by-step explanation:
This is a normal probability distribution question.
We'll need to standardize the 95 days to solve this.
The standardized score is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = 95 days
xbar = mean = 105 days
σ = standard deviation = √(variance) = √25 = 5
z = (95 - 105)/5 = - 2
To determine the probability that the project will be completed in 95 days or less, P(x ≤ 95) = P(z ≤ (-2))
We'll use data from the normal probability table for these probabilities
P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023