Verify that a÷(b+c)=(a÷b)+(a ÷c), a=10 , b=5 , 6=2
1 answer:
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Answer:
a) 20.33% probability that the participant is less than 64.5 inches.
b) 33.72% probability that the participant is more than 68.25 inches
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
a.) Find the probability that the participant is less than 64.5 inches?
This is the pvalue of Z when X = 64.5.
has a pvalue of 0.2033
20.33% probability that the participant is less than 64.5 inches.
b.) Find the probability that the participant is more than 68.25 inches?
This is 1 subtracted by the pvalue of Z when X = 68.25.
has a pvalue of 0.6628
1 - 0.6628 = 0.3372
33.72% probability that the participant is more than 68.25 inches
Answer:
The car will travel 1980 meters in 15 minutes.
Hence, option 'D' is true.
Step-by-step explanation:
Given that a car travels 300 meters in the first minute, so
- a₁ = 300
Each minute after, the car travels 120 meters. , so the sequence becomes
a₁, a₂, a₃, a₄, a₅, ...
300, 420, 540, 660, 780, ...
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
now, we have
- a₁ = 300
- d = 120
so substituting a₁ = 300 and d = 120 in the nth term of the sequence
Thus, the nth term of the sequence is:
<u>Determining the distance the car travels in 15 minutes</u>
As we have already determined the nth term of the sequence such as
now substituting n = 15
Therefore, the car will travel 1980 meters in 15 minutes.
Hence, option 'D' is true.