This equation has the next form:
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
Then, the first case has two complex solutions.
In the second case,
The discriminant in this case is:
Then, the second case has two complex solutions.
In the third case,
The discriminant in this case is:
Then, the third case has two real solutions.
In the fourth case,
The discriminant in this case is:
Then, the fourth case has two complex solutions.
We have been given that Sam uses an industrial kitchen to bake several batches of his famous chocolate chip bars.
Further, we are given that Sam needs to weight out 78 ounces, plus or minus 2.5 ounces.
Therefore, the equation that can be used to find maximum or minimum amount, c, of chocolate chips that he can weight out is:
Answer:z=0.0768
Step-by-step explanation:
For Binomial distribution
mean
Where n=90
and probabilty of getting success(P)=0.5 (also q=0.5)
Standard deviation
Now using normal distribution as an approximation to the binomial distribution
Using standard normal tables P
Value z=0.0768
Answer:
158.7°
Step-by-step explanation:
Data:
r = 13 in
s = 3 ft
Calculations:
(a) Convert feet to inches
s = 3 ft × (12 in/1 ft) = 36 in
(b) Calculate the angle
Let θ = the angle subtended by the arc.
s = rθ
θ = s/r = 36/13 ≈ 2.7692 rad
Convert radians to degrees
2.7692 rad × (360°/2π rad) = 158.7°
The wheel travels through an arc of 158.7°.