You calculate this using the Cosine Rule
x^2 = 60.5^2 + 226^2 - 2*60.5*226 cos 39
= 33484.42
x = 182.98
He threw the ball approximately 183 feet.
Answer: The maximum error = $105.76.
Step-by-step explanation:
Formula to find the maximum error:

, where n= sample size.
= Population standard deviation
z*= Critical value(two-tailed).
As per given , we have

n= 35
For 98% confidence , the significance level = 
By z-table , the critical value (two -tailed) =
Now , the maximum error = 


Hence, With 98% confidence level , the maximum error = $105.76.
Answer:
b. {-9, 3}.
Step-by-step explanation:
x^2 + 6x - 27 = 0
We need 2 numbers whose product is -27 and whose sum is + 6.
These are + 9 and - 3. So the factors are:
(x - 3)(x + 9) = 0
(x - 3) = 0 or (x + 9) = 0
x = 3 or -9.
Answer:
14
Step-by-step explanation:
First, find the percentage of the other types of music.
Since 30 + 50 = 80, the other 20% will be other music.
To find 20% of 70, multiply 70 by 0.2:
70(0.2)
= 14
So, there are 14 CDs that are other types of music.
Answer:
±2.18 cm
Step-by-step explanation:
The definition of the sine of an angle (θ) is ...
Sin = Opposite/Hypotenuse
Then the hypotenuse (h) is found from ...
h = Opposite/sin(θ)
Differentiating with respect to θ gives ...
dh/dθ = Opposite×(-cos(θ)/sin²(θ))
For the given numbers, this is ...
dh/dθ = (36 cm)×(-√3/2)/(1/2)² = -72√3 cm/radian
The error of ±1° corresponds to ±π/180 radians, so the error is estimated to be ...
error = (dh/dθ)Δθ = (-72√3 cm/radian)(±π/180 radians) = ±0.4π√3 cm
error = ±2.18 cm