Answer:
26 years of age.
Step-by-step explanation:
The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:
I = - 425x² + 45500x - 650000 .......... (1)
If the average annual income of the lawyer at the age of x years is $250000, then from the equation (1) we can write
- 425x² + 45500x - 650000 = 250000
⇒ - 425x² + 45500x - 900000 = 0
⇒ - 17x² + 1820x - 36000 = 0
Now, using the quadratic formula,
years (Approximate)
{We have neglected the other root as we need the youngest age}(Answer)
Answer: It can be any number, x^1=x
Step-by-step explanation: Say we have 5^1. It is 5. No powers added.
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Answer:
A
Step-by-step explanation:
Because going through 6,2.And plug it in it wil 2-6 it will be -4 and it is less than -3.
Answer:
CH = 22°
Step-by-step explanation:
We know that Arc AC and Arc CH both equal to 180°, therefore we can say;
AC + CH = 180°
158 + CH = 180°
CH = 180 - 158
CH = 22°
Hope this helps!
Answer:
0.7931 = 79.31% probability that a truck drives between 43 and 141 miles in a day.
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:
Find the probability that a truck drives between 43 and 141 miles in a day.
This is the pvalue of Z when X = 141 subtracted by the pvalue of Z when X = 43. So
X = 141
has a pvalue of 0.8599
X = 43
has a pvalue of 0.0668
0.8599 - 0.0668 = 0.7931
0.7931 = 79.31% probability that a truck drives between 43 and 141 miles in a day.
