A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i
2 answers:
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Answer:
a. 5
b. 5
c. 6√2
d. √34
e. 43 (appx.)
Step-by-step explanation:
The distance between two points on the coordinate plane having coordinate (x1, y1) and (x2, y2) is given by .... (1)
a. Hence, the distance between points A(2,3) and point B(6,6) is units. {Using equation (1)}
b. Coordinates of A and B in the Cartesian coordinate plane are (2,3) and (6,6) respectively.
Hence, the distance between A and B is units.
c. Coordinates of A and B in the Cartesian coordinate plane are (-1,5) and (5,11) respectively.
Hence, the distance between A and B is units.
d. Coordinates of A and B in the Cartesian coordinate plane are (1,-2) and (-2,3) respectively.
Hence, the distance between A and B is units.
e. Coordinates of A and B in the Cartesian coordinate plane are (12,-12) and (-23,13) respectively.
Hence, the distance between A and B is units. (Approximate) (Answer)
Answer:
Less than 3.6 years.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.8 years, and standard deviation of 1.7 years.
This means that
The 10% of items with the shortest lifespan will last less than how many years?
Less than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
Less than 3.6 years.