Answer:
say no its not a right triangle
Step-by-step explanation:
bc u see the sides
and if u need the value of it its 432
Answer: The speed of the boat in still water is 6.5 mph.
The speed of the current is 2.5 mph
Step-by-step explanation:
Let x represent the speed of the boat in still water.
Let y represent the speed of the current.
A boat going upstream on The River averages 4 mph. Assuming it travelled against the current while going upstream, its total speed would be (x - y) mph. It means that
x - y = 4- - - - - - - - - - - -1
Going downstream, the boat averages 9 mph. Assuming it travelled with the current while going upstream, its total speed would be (x + y) mph. It means that
x + y = 9- - - - - - - - - - - -2
Adding both equations, it becomes
2x = 13
x = 13/2
x = 6.5 mph
Substituting x = 6.5 into equation 1, it becomes
6.5 - y = 4
y = 6.5 - 4
y = 2.5 mph
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval is (29.6, 44.4).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:
![\overline{x} \pm t\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%5Cpm%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a <u>two-tailed 95% confidence interval</u>, with 25 - 1 = <em>24 df</em>, is t = 2.0639.
The other parameters are given by:
.
Hence, the bounds of the interval are given as follows:
![\overline{x} - t\frac{s}{\sqrt{n}} = 37 - 2.0639\frac{18}{5} = 29.6](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20-%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2037%20-%202.0639%5Cfrac%7B18%7D%7B5%7D%20%3D%2029.6)
![\overline{x} + t\frac{s}{\sqrt{n}} = 37 + 2.0639\frac{18}{5} = 44.4](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%20%2B%20t%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%2037%20%2B%202.0639%5Cfrac%7B18%7D%7B5%7D%20%3D%2044.4)
The 95% confidence interval is (29.6, 44.4).
More can be learned about the t-distribution at brainly.com/question/16162795
The domain of the line in the graph is x∈R.
<h3>
What is a domain?</h3>
- The set of all potential inputs for a function is its domain.
- For instance, the domain of f(x)=x² and g(x)=1/x are all real numbers with the exception of x=0.
- Additionally, we can define special functions with more constrained domains.
- Consider the function y = f(x), which has the independent variable x and the dependent variable y.
- A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
So, the domain the line is:
- From the given graph, we know that y = every time.
Which means, in the given graph, y = x = 10.
This also means:
- y = x = 9
- y = x = 11
- y = x = 10
The values of x can go to infinity.
- Then the domain will be x∈R.
Therefore, the domain of the line in the graph is x∈R.
Know more about the domain here:
brainly.com/question/2264373
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We must know how many inches the plant grows in one month.
13 ÷ 5 = 2.6
The plant grows 2.6 inches a month.
Simply multiply 2.6 by the corresponding months to fill in the rest of the boxes.