To solve for the time an object takes to hit the ground, the equation
<em>y</em> <em>= y₀ + v₀t + ½gt²</em>, or just <em>0 = y₀ +½gt²</em> since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, <em>t = (−2y₀/g)^½.</em>
(-2*60/-9.8)^½ = 3.50 seconds.
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Mean (μ) = 11.5 feet
Standard deviation (σ) = 1.7 feet
First we need to find the z-score for less than 13.5 feet.
The formula of z-score is : z = (X - μ)/σ
Here X= 13.5, so z = 
z = 
= 1.18
P(X < 13.5) = P(z< 1.18) =P(z< (1.1 + .08)) = 0.8810 (from z-score table)
P(X< 13.5) = 88.1% (for making percentage from decimal, we need to multiply by 100)
So, the probability that a randomly selected tree is less than 13.5 feet tall = 88.1%
Answer:
$204.89
Step-by-step explanation:
Step 1
We have to first find the area of the circular sign.
Since the sign is circular in shape, we use the Area of Circle.
Area of a Circle = πr²
r = 1.5 feet
π = 3.14
Area of a Circle = 3.14 × 1.5²
= 7.065ft² or 7.065 square feet.
Step 2
We find out how much it cost to print the circular sign.
We are told in the question that
The printing company charges $29 per square foot
Hence,
1 square foot = $29
7.065 square feet =
Cross multiply
= 7.065 × $29
=$ 204.885
Approximately to the nearest cent, $204.89
Therefore, it will cost $204.89 to print the circular sign
Answer:
The answer is C one solution
Step-by-step explanation:
x-y=-14
-y=-x-14 bring x to the other side
y=x+14 divide everything by -1
-x-y=14
-y=x+14 bring x to the other side
y=-x-14 divide everything by -1
