Please help me for 10 points
1 answer:
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Answer:
a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less
b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours
c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours
d) 86 should have a battery life of at least 9 hours.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
The probability of being higher than x is:
The probability of being between c and d is:
Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.
This means that
a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?
0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.
b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?
0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours
c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?
0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.
d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?
Proportion of iPad Minis with a battery life of at least 9 hours.
Out of 100:
0.8571*100 = 85.71
To the nearest whole number
86 should have a battery life of at least 9 hours.
Answer:
The area of the polygon is 42.
Step-by-step explanation:
A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.
From the given figure, the area of the shaded polygon can be calculated by;
Area of polygon = Area of square - Sum of areas given
Sum of areas given = 24 + 30 + 48
= 102
The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:
Area of square = length × width
= 12 × 12
= 144
Area of polygon = 144 - 102
= 42
The area of the polygon is 42.