Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took :
. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:

Now we solve for
in this last equation and make the substitution in the equation for car A:

So this is the speed of both cars: 0.625 miles/minute
Answer:
The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
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 question:

The z-score when x=187 is ...

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.
Answer:
function
Step-by-step explanation:
Answer:
The y-intercept is -1
The x-intercept is 4.5
Step-by-step explanation:
We have the following equation:
f(x) = log(2x+1) - 1
The y intercept is the value of f(x) when x is equal to 0, so replacing x by 0 and solving for f(x), we get:
f(0) = log(2*0 + 1 ) -1
f(0) = log(1) - 1
f(0) = 0 - 1 = -1
Additionally, the x-intercept is the value of x when f(x) is equal to 0. So, replacing f(x) by 0 and solving for x, we get: