The values square root of 12 and square root of 15 or put it on the number line what is the approximate difference in tents betw
1 answer:
You might be interested in
Answer:
The maximum error in the calculated area of rectangle is 5.4 cm².
Step-by-step explanation:
Given : The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measured of at most 0.1 cm in each.
To find : Use differentials to estimate the maximum error in the calculated area of rectangle ?
Solution :
The area of the rectangle is
The derivative of the area is equal to the partial derivative of area w.r.t. length times the change in length plus the partial derivative of area w.r.t. width times the change in width.
i.e.
Here,
Substitute the values,
Therefore, the maximum error in the calculated area of rectangle is 5.4 cm².
Answer:
Step-by-step explanation:
Let n(U) be total amount or customers = 100%
n(C) = 80% of its customers subscribe to its cable TV service.
n(I) = 41% of its customers subscribe to its Internet service.
n(T) = 31% of its customers subscribe to its telephone service.
n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.
n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.
n(InT) = 22% of its customers subscribe to both its Internet and phone service.
n(CnInT) = 15% of its customers subscribe to all three services
number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))
= 80-[(25-15)+(20-15)+15]
= 80-{10+5+15)
= 80-30
= 50
Hence 50% read cable TV only
Pr(cable TV only) = 50/100 = 1/2
2) number of people that read internet and cable TV = 25%
Pr(internet and cable) = 25/100 = 1/4
3) number of people that had exactly two services are;
n(cable and internet only)+n(internet and phone only)+(cable and phone only)
= (25-15)+(22-15)+(20-15)
= 10+7+4
= 21%
Hence 21℅ read exactly two services
pr(exactly 2 services) = 21/100
4) number of people that read internet and cable only = n(CnI) - n(CnInP)
= 25-15 = 10%
Pr(Internet and cable only) = 10/100 = 1/10
