Greetings!
The conclusion is:
The return trip will take 18 hours.
Reasoning:
To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.
The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:
The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:
Consequently, the return trip will take 18 hours to complete.
Have a nice day!
For Mia's calculations, she should use y first because y signifies 22, while x indicates 4 dollars earned weekly.
Answer:
At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.
Step-by-step explanation:
A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.
The null and alternative hypotheses are:
The significance level is set at 0.10.
The sample mean recorded is 17, and the sample standard deviation is 5.37.
The degrees of freedom are calculated as df=(20-1)=19.
The t-statistic is:
The two-tailed P-value corresponding to t=1.67 is P=0.11132.
<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.
At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.
Given the specified angles, one is 90 degrees, indicating that the triangle is a right triangle. With provided angles and one side representing the hypotenuse (the longest side), the area is determined using the formula: Area = 1/2 * base * height. Let's compute the height and base:
From sin 75, we derive height = 1.67.
And from cos 75, we obtain base = 0.45.
Calculating area gives us Area = (0.45 * 1.67) / 2, resulting in 0.37 square units.
Thus, the triangle's area is approximately 0.37 square units.
Answer: x1 = 251/26, x2 = -111/26
Step-by-step explanation:
Greetings!
As illustrated in the diagram, the point you seek is where the two lines intersect.
This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):
You can approach solving it using the substitution method:
Then substitute x1 into equation 2 to resolve x2:
After which, utilize the x2 value to establish x1:
