We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.
First of all, we will find the z-score corresponding to sample score 2410.
Now we need to find area under normal curve that is greater than z-score of 
that is 
.
Using formula 
, we will get:
Now we will find area under curve using normal distribution table.
Upon rounding to 4 decimal places, we will get:
Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.
Using linear function concepts, it is found that lines are parallel if they have the same slope.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Parallel lines have the same inclination, that is, if two lines are parallel, they have the same slope.
More can be learned about linear function concepts at brainly.com/question/24808124
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4 seniors and 20 freshmen
4:20
It can be simplified to:
1:5
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- Hannah ❤
Did it the longer way but i hope it helps you out.... Answer: 2/3
Answer:
The correct answer is Adam rowed faster in the men's 500-meter kayak race.
Step-by-step explanation:
To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be 
or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be 
or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.
