Answer:
ivisbuei shsh you be my friend and I will send
Answer:
A) 103
Step-by-step explanation:
x + 62 + 15 = 180
x + 77 = 180
x = 103
Answer:
Rate at which the shadow is moving = -5 ft/s.
Step-by-step explanation:
I can do the second part for you:
If the distance of the woman from the wall is Xp , the length of the shadow is Xs and the distance from the tip of the shadow to the wall is X we have the relation:
X = Xp + Xs.
We need to find X' (the rate that the tip of the shadow is moving). at Xp = 16 and X'p = -4 ft/s.
We need a relation between X and Xp so we have to eliminate Xs.
By similar triangles 5.5 / 27.5 = Xs / x
1/5 = Xs/x
Xs = x /5 so substituting in the above relation:
X = Xp + X/5
4X/5 = Xp
X = 5Xp / 4
Taking derivatives:
X' = 5X'p / 4
Now X'p is given as - 4 so
X' = -20/4 = -5 ft/s.
Answer:
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24
Step-by-step explanation:
When the distribution is normal, we use 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.
The price is approximately normally distributed with a mean of 20 and a standard deviation of 2.
This means that 
What is the probability that in a year the shares will be selling between $21 and $24
This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 21. So
X = 24:



has a pvalue of 0.9772
X = 21:



has a pvalue of 0.6915
0.9772 - 0.6915 = 0.2857
0.2857 = 28.57% probability that in a year the shares will be selling between $21 and $24