Answer:
We conclude that:
- The number of people who ordered the chicken dinner = 1
- The number of people who ordered the steak dinner = 5
Step-by-step explanation:
Given that
- Some order the chicken dinner for $14
- some order the steak dinner for $17.
- Let 'n' be the number of people who ordered the chicken dinner.
- Let '6-n' be the number of people who ordered the steak dinner.
Thus, the equation becomes




Divide both sides by -3

and

Therefore, we conclude that:
- The number of people who ordered the chicken dinner = 1
- The number of people who ordered the steak dinner = 5
Diagonals that bisect each other are perpendicular and form a right angle.
AEB is a right triangle.
We can apply the Pythagorean theorem:
c^2 = a^2+b^2
Where c is the hypotenuse (longest side) and a and b the other 2 legs.
Replacing:
AB^2 = AE^2+BE^2
AB^2 = 5^2+12^2
AB^2 = 25+144
AB^2 = 169
AB=√169 = 13
Lenght of AB= 13
Answer:
The probability that 8 mice are required is 0.2428.
Step-by-step explanation:
Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.
To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?
Solution :
Applying binomial distribution,

Where, p is the probability of success 
q is the probability of failure q=1-p, 
n is total number of trials n=8
r=3
Substitute the values,




Therefore, the probability that 8 mice are required is 0.2428.
Answer:
C. Exponential decay
Step-by-step explanation:
96% is the answer 100%/x%=125/120
(100/x)*x=(125/120)*x - we multiply both sides of the equation by x
100=1.04166666667*x - we divide both sides of the equation by (1.04166666667) to get x
100/1.04166666667=x
96=x
x=96