Answer: 0.0668
Step-by-step explanation:
Given: Mean : 
Standard deviation : 
The formula to calculate z-score is given by :_

For x= 4 minutes , we have

The P-value = 
Hence, the probability that on a given run, the time will be 4 minutes or less = 0.0668
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Answer:</u></h3>
The function N(t) is given as:

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Step-by-step explanation:</u></h3>
Jenny studied the characteristics of two species of bacteria.
The number of bacteria of species A, A(t), after t hours is represented by the function:

The number of bacteria of species B, B(t), after t hours is represented by the function:

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:
N(t)=A(t)-B(t)

which on simplifying gives:

Hence,
Answer:
Ordering a soft drink is independent of ordering a square pizza.
Step-by-step explanation:
20% more customers order a soft drink than pizza, therefore they cannot be intertwined.
Given: P(A)=0.5 & P(B)=.7
P(A∩B) = P(A) × P(B)
= 0.5 × .7
= 0.35
P(A∪B) = P(A) + P(B) - P(A∩B)
= 0.5 + .7 - 0.35
= 0.85
P(AΔB) = P(A) + P(B) - 2P(A∩B)
= 0.5 + .7 - 2×0.35
= 0.5
P(A') = 1 - P(A)
= 1 - 0.5
= 0.5
P(B') = 1 - P(B)
= 1 - .7
= 0.3
P((A∪B)') = 1 - P(A∪B)
= 1 - 0.85
= 0.15
Vertical angles are equal...so set ur angles equal to each other and solve for x
5x + 10 = 7x - 12
12 + 10 = 7x - 5x
22 = 2x
22/2 = x
11 = x <==