Roberto's toy car travels at 40 centimeters per second (cm/sec) at high speed and 25 cm/sec at low speed. If the car travels for
2 answers:
Answer:
2475 cm
Step-by-step explanation:
We are given that Roberto's toy car travels 40 cm/sec at high speed and 25 cm/sec at low speed.
We have to find that the distance would have the car traveled
Speed of car at high speed=40 cm/sec
Speed of car at low speed=25 cm/sec
If car takes time to travel at high speed=30 seconds
If car takes time to travel at low speed=51 seconds
Using this formula
Distance traveled by the car at high speed=
Distance traveled by the car at low speed=
Total distance traveled by the car =1200+1275=2475 cm
Hence, the distance would have traveled by the car=2475 cm
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Answer:
a) NORM.S.INV(0.975)
Step-by-step explanation:
1) Some definitions
The standard normal distribution is a particular case of the normal distribution. The parameters for this distribution are: the mean is zero and the standard deviation of one. The random variable for this distribution is called Z score or Z value.
NORM.S.INV Excel function "is used to find out or to calculate the inverse normal cumulative distribution for a given probability value"
The function returns the inverse of the standard normal cumulative distribution(a z value). Since uses the normal standard distribution by default the mean is zero and the standard deviation is one.
2) Solution for the problem
Based on this definition and analyzing the question :"Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value?".
We are looking for a Z value that accumulates 0.975 or 0.975% of the area on the left and by properties since the total area below the curve of any probability distribution is 1, then the area to the right of this value would be 0.025 or 2.5%.
So for this case the correct function to use is: NORM.S.INV(0.975)
And the result after use this function is 1.96. And we can check the answer if we look the picture attached.
Answer:
The world population at the beginning of 2019 will be of 7.45 billion people.
Step-by-step explanation:
The world population can be modeled by the following equation.
In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.
The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.
This means that
So
What will the world population be at the beginning of 2019 ?
2019 - 1980 = 39. So this is Q(39).
The world population at the beginning of 2019 will be of 7.45 billion people.