<u>Answer:</u>
The length of the person’s shadow is 5.7ft
<u>Explanation:</u>
Length of the flagpole =a= 35ft
Length of the shadow of the flagpole= b=50ft
Length of the person=c= 4ft
Suppose the length of the person’s shadow is=d
According to the rules of trigonometry



35d=200
d=
d=5.7ft
Hence, The length of the person’s shadow is 5.7ft.
Answer:
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
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.
Middle 61%
Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.
19.5th percentile.
Z with a pvalue of 0.195. So Z = -0.86
80.5th percentile.
Z with a pvalue of 0.805. So Z = 0.86.
Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution
<h2>
Answer:</h2>
<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>
<h2>
Explanation:</h2>
Here we have the following data, You bike
- 5 miles the first day of your training,
- 5.4 miles the second day,
- 6.2 miles the third day, and
- 7.8 miles the fourth day.
So we can know some facts:
- From the first day to the second day the number of miles increases:

- From the second day to the third day the number of miles increases:

- From the third day to the fourth day the number of miles increases:

By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:
- From the fourth day to the fifth day the number of miles increases:

- From the fifth day to the sixth day the number of miles increases:

Finally:
- From the sixth day to the seventh day the number of miles increases:

F(x)=x2+4x-9
F(-4)=-4(2)+4(-4)-9
=-8+(-16)-9
=-24-9
=-42
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
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