9514 1404 393
Explanation:
a) The velocity curve is linearly increasing from 0 to 6 m/s over a period of 2 seconds, then linearly decreasing from 6 m/s to 0 over the same period. The acceleration is the rate of change of velocity, so for the first half of the motion the acceleration is a constant (6 m/s)/(2 s) = 3 m/s². Similarly, over the second half of the motion, the acceleration is a constant (-6 m/s)/(2 s) = -3 m/s².
The distance traveled is the integral of the velocity, so the linearly increasing velocity will cause the distance vs. time curve to have a parabolic shape. The shape will likewise be parabolic, but with decreasing slope, as the velocity ramps down to zero. Overall, the distance versus time curve will have an "S" shape.
The motion (position and velocity) will be continuous, but the acceleration will not be. There will be a significant "j.erk" at the 2-second mark where acceleration abruptly changes from increasing the velocity to braking (decreasing the velocity).
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b) The attachment shows the (given) velocity curve in meters per second and its integral, the position curve, in meters.
The integral in the attached works nicely for machine evaluation. For hand evaluation, it is perhaps best written piecewise:
Answer:
60
Step-by-step explanation:
24 ÷ 4 is 6. In 8 days He would have 48. Add two 6's and you get the number 60.
B. 173.9 mg less than < mu μ less than <196.1 mg
C. 173.8 mg less than < mu μ less than <196.2 mg
D. 173.7 mg less than < mu μ less than <196.3 mg
Answer:
option (C) 173.8 mg less than < mu μ less than <196.2 mg
Step-by-step explanation:
Data provided ;
number of sample, n = 12
Mean = 185 milligram
standard deviation, s = 17.6 milligrams
confidence level = 95%
α = 0.05 [for 95% confidence level]
df = n - 1 = 12 - 1 = 11
Now,
Confidence interval = Mean ± E
here,
E is the margin of error =
also,
=
= 2.201 [ from standard t value table]
Thus,
E =
or
E = 11.182 milligrams ≈ 11.2 milligrams
Therefore,
Confidence interval:
Mean - E < μ < Mean + E
or
185 - 11.2 < μ < 185 + 11.2
or
173.8 < μ < 196.2
Hence,
the correct answer is option (C) 173.8 mg less than < mu μ less than <196.2 mg
To construct a confidenceinterval for the population mean cholesterol content of all chicken eggs with a 95% confidence level, we use the sample mean, standard deviation, and sample size to calculate the margin of error. The confidence interval is then constructed by subtracting the margin of error from the sample mean and adding it to the sample mean.
To construct a confidenceinterval for the population mean cholesterol content of all chicken eggs, we first need to find the margin of error. The margin of error depends on the samplemean, standard deviation, sample size, and the desired level of confidence. In this case, we have a sample mean of 185 mg, a standard deviation of 17.6 mg, and a sample size of 12. Since we want a 95% confidence interval, we use a z-score of 1.96. The margin of error is then calculated as 1.96 * (17.6/sqrt(12)), which is approximately 9.61 mg. We can then construct the confidenceinterval by subtracting the margin of error from the sample mean and adding it to the sample mean. Therefore, the 95% confidence interval for the true mean cholesterol content of all such eggs is 175.9 mg to 194.1 mg.
#SPJ12
Answer: -1/2, 0
Step-by-step explanation:
x=0 , y=2x-5 and y=mx+9 form a right angle. So, y=mx+9 is either perpendicular to x=0 or y=2x-5 because the angle between x=0 and y=2x-5 is not 90 degrees. The product of slopes of perpendicular lines equals to -1.
Thus, m=-1/2 if it is perpendicular to y=2x-5. And y=c, for some constant if it is perpendicular to x=0. So y=0x+9 fits the bill. (m=0, in this case)
If the survey resulted in the data above, the distribution of fish lengths would be best described as...
A.
symmetrical with multiple modes.
B.
symmetrical with one mode.
C.
skewed to the right.
D.
skewed to the left.
Answer:
I’m thinking skewed to the right
Answer:
I think it is D but not totally sure.
And i am sorry you had to ask so many times, i hope D was the correct answer.
Also this talks about skewed images:
Answer:
Step-by-step explanation:
The diameter of the circle is twice the radius, so the diameter of the circle is 2 x 12 inches = 24 inches.
To find the area of the circle, we can use the formula A = πr^2, where A is the area of the circle and r is the radius.
So, for this circle, A = π(12 inches)^2 = 144π square inches.
Therefore, the diameter of the circle is 24 inches, the formula to find the area of the circle is A = πr^2, and the area of the circle is 144π square inches.
Answer: 144 pie square inches!
Step-by-step explanation:
1st blank : is 24 square inches since the radius which is half the diameter is 12 square inches we can easily know that the diameter would be 24 square inches!
2nd blank : pie r squared is the formula! for all areas of the circles! the total length in other words the circumference of the circle would be 2 pie r basically multiplying 2 and pie and the radius.
3rd blank : the area of the circle is 144 pie (square inches)!
b is the awnser
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
There are 96 squares in total. Yard is 3 feet, so you would divide the total by 3.