Answer:
B
Step-by-step explanation:
x=4 so
2x4=8
8+5=13
Carlos's sister is 4 years old, therefore it is B.
It's as it is said

.
Your question is unclear.
Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)=
and y=
Equating the both the equation,


x=
For f(x)=
and y=
Equating the both the equation,


x=
Therefore, The function touches the damping factor x=
and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=

Hence,
is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
Answer:
57.93% probability that a trip will take at least 35 minutes.
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 probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So



has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.