The speed of the current in a creek is 2mph. A person can kayak 10 mi upstream in the same time that it takes him to kayak 14 mi
1 answer:
You might be interested in
Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:
Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:
Now, all we have to do is <u>isolate</u> the variable to find x:
Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Answer:
a) Statistic.
b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Step-by-step explanation:
a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.
b) We can use the statistic to estimate a confidence interval for the parameter of the population.
The standard error for the proportion is calculated as:
The margin of error is 0.01. We can use this value to determine the level of confidence that represents.
The formula for the margin of error is:
This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.
The interval for this margin of error is:
Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
