Burro Travel Bureau arranges trips for descending into the Grand Canyon. For each trip, they charge an initial fee of \$25$25dol
lar sign, 25 in addition to \$0.10$0.10dollar sign, 0, point, 10 for each vertical meter they descend. Let yyy represent the fee (in dollars) of a trip where they descended xxx vertical meters.
2 answers:
Answer:
Slope and y-intercept
Step-by-step explanation:
The complete question is shown in the image attached with.
For each trip an initial fee of $ 25 is charged and $ 0.10 is charged for each vertical meter descended.
Since, for each vertical meter the charge is $ 0.10, for x meters the charges will be $ 0.10x. So,
Total charges of the trip would be:
Total charges/fee = Initial Fee + Fee for x meters
y = 25 + 0.10x
y = 0.10x + 25
The general slope intercept form of the equation of the line is:
y = mx + c
Where,
m = slope of the line
c = y-intercept
Compairing both the equations given above we, get:
Slope of line = m = 0.10
y-intercept = c = 25
So, the given statements gives us the slope and the y-intercept of the graph.
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Solution:
we are given that
Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill.
we have been asked to find the average distance covered in one minute.
Using the concept of unity we can write
Since Nathan takes 42 minutes to cover a distance of 4.5 miles.
So in 1 minute Nathan will cover a distance of
Hence avearge distance covered in one minute is 1.1 miles.
We can apply Quadratic equations in real-world like; sports, bridges, projectile motion, shapes of bananas etc.
Following are three pictures of real world application of quadratics.
Example 1:- Here we can see a Cyclist follows a quadratic path to jump over the obstacles.
Example 2:- Here we see a man throwing a basketball towards the net following a slightly upward direction that goes through a quadratic path.
Example 3:- Here a football player kicks the ball in the sky and it goes through a quadratic path to cover some distance.
Answer:
11.51% probability that the mean annual salary of the sample is between $71000 and $73500
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
What is the probability that the mean annual salary of the sample is between $71000 and $73500?
This is the pvalue of Z when X = 73500 subtracted by the pvalue of Z when X = 71000. So
X = 73500
By the Central Limit Theorem
has a pvalue of 0.1151
X = 71000
has a pvalue of 0.
0.1151 - 0 = 0.1151
11.51% probability that the mean annual salary of the sample is between $71000 and $73500