a car travels 30 1/2 miles in 2/3 of an hour. what is the average speed, in miles per hour, of the car ?
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<h2>Answer with explanation:</h2>
Let p be the true proportion of registered voters wish to see Mayor Waffleskate defeated.
As per given , we have
Sample size : n= 447
Number of of registered voters wish to see Mayor Waffleskate defeated = 157
I.e. sample proportion :
Confidence interval for population proportion is given by :-
, where n= sample size
= sample proportion
z* = critical z-value.
Critical z-value for 98% confidence interval is 2.33. (By z-table)
Then, the 98% confidence interval for the proportion of registered voters who wish to see Waffleskate defeated will be :
Since the 0.27 < 0.299 , it means 0.27 does not belong to the above confidence interval.
So , we reject the null hypothesis ().
So , <u>98% confidence interval does not support the claim.</u>
X represents the elapsed time in hours.y represents the speed in miles per hour.
the equation: y = -1.5 * x + 8
the equation to model this is y = -1.5 * x + 8 - 3
simplify this to get y = -1.5 * x + 5.
She will be traveling at a net speed of 0 miles per hour in 3 and 1/3 hours.
The graph is the attached photo.
the equation: y = -1.5 * x + 8
the equation to model this is y = -1.5 * x + 8 - 3
simplify this to get y = -1.5 * x + 5.
She will be traveling at a net speed of 0 miles per hour in 3 and 1/3 hours.
The graph is the attached photo.
From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown.
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 N
For the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N
From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:
sin 52° = Fy/F = Fy/1.5
Fy = 1.182 N
For the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.
cos 52° = Fx/F = Fx/1.5
Fx = 0.923 N