Answer:
See Bottom!
Step-by-step explanation:
This may seem bad, but the answer should be 2191919/1000000
If you require more assistance, please let me know at the bottom.
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by
Differentiating the above equation with respect to time yields,
dx/dt = 0 since dock height doesn't change
The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,
Therefore, the boat is approaching the dock at rate of 2.14 ft/s
Actually,
I think the question should be, "In what range(s) of x-values must
there be a root of the POLYNOMIAL?"
Unless you are working with some real strange maths, polynomials are
smooth and continuous. If you drew a smooth and continuous line through
the points in the graph, where would the line have to cross the x-axis?
The median of a set of data is obtained by arranging the data from lowest to highest. In this pop quiz scores, the arrangements is as follows:
110, 125, 138, 144, 152, 153, 162, 163, 164, 174, 174, 175, 177, 180, 183, 185, 186, 187, 194, 195, 196, 198.
There are 22 items in the list and the median is located in the middle position. In this case, it is the average of 174 (11th) and 175 (12th). Thus, the median is 174.5.
Question:
The question is incomplete. The display technology was not given. Find below the complete question and the answers.
Display from technology:
Hypothesis Test Results
μ : Mean of variable
H₀ : μ=2.7 miles
HA : μ >2.7 miles
Variable Sample Mean Std. Err. DF T-Stat P-value
Length 3.23601 0.285185 499 2.230166 0.0131
Step-by-step explanation:
From the result obtained, we have;
Null hypothesis: H₀ : μ=2.7 miles
Alternative hypothesis: HA : μ >2.7 miles
Test statistics = 2.230166
P-value = 0.0131
Significant level: α = 0.05
Since the P value is less than the significance level, we can reject the null hypothesis.
There is no sufficient evidence to support the claim that the mean tornado length is greater than 2.7 miles
