Answer:
2.547
Step-by-step explanation:
2pir=8
1.273=r
d=2r
2.547=d
Answer:
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
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:

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?
90th percentile
The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So




The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
<h3>What are the exponential functions?</h3>
The given exponential functions, f(x) and g(x), are respectively given by:
When x < 0, one possible value is x = -1, hence evaluating the functions at these values:


, hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
More can be learned about exponential functions at brainly.com/question/25537936
Answer:
1.5 ≤ 3.75x
Step-by-step explanation:
Given that:
Distance, D to jog is atleast 1.5 miles
D ≥ 1.5 miles
x = number of hours to jog
Jog rate = 3.75 mph
Actual distance covered if jog last for X hours
Actual Distance = speed * time
Actual Distance = 3.75 * x = 3.75x
Hence,
D ≤ Actual distance
1.5 ≤ 3.75x
<span>25: 2 × 2 × 13 65: 5 × 13</span>