Answer:
Part A: Options D and E
Part B: Disagree
Step-by-step explanation:
Part A:
From the graph attached,
Option A
The object is launched from the ground.
False.
Since, the object is launched from the 5 feet above the ground.
Option B
The flight is symmetric about the line t = 10
False.
Since, the flight is symmetric about the line t = 12
Option C
The object reaches a maximum height of 12 feet.
False.
At t = 12 seconds maximum height of the object = 19.4 feet
Option D
The object is flying in the air during the interval 0 < t < 25.93
True.
Option E
The object reaches its maximum height after 12 seconds of flight.
True.
After 12 seconds object is at the maximum height 19.4 feet.
Therefore, Options D and E are the correct options.
Part B:
From the table attached,
h(4) = 13
h(20) = 13
At t = 4 and 13 seconds height of the object is same.
h(4) = h(20)
But Timothy said h(4) < h(20)
Therefore, disagree with the statement of Timothy.
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3(x+2)-9=15-4(5x-2)
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First use the distributive property of both sides:-
3(x+2)-9=15-4(5x-2)
3x+6-9=15-20x+8
Now add 20x on both sides:-
23x+6-9=15+8
On simplification,
23x-3=23
Add 3 to both sides:-
23x=26
Divide by 23 on both sides:-
x=26/23
<h3>Good luck.</h3>
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Answer:
The 99% confidence interval for the average fluid content of a can is between 11.54 and 12.66 fluid ounces.
Step-by-step explanation:
We are in posession of the sample's standard deviation, so we use the student t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of
). So we have T = 2.797
The margin of error is:
M = T*s = 2.797*0.2 = 0.56
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.56 = 11.54 fluid ounces.
The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.56 = 12.66 fluid ounces.
The 99% confidence interval for the average fluid content of a can is between 11.54 and 12.66 fluid ounces.
Answer:
x=88 (alternative angles)
y=31 each
v=41 (alternative angles)
w=20 (alternative angles)
Step-by-step explanation:
for y:
we add all the angles got therefore,
20+41+88+y+20+41+88+y=360(because total angle in a quadilateral is 360°)
298+2y=360
2y=360-298
2y=62
therefore y=62/2=31° for each y
Answer:
Check the explanation
Step-by-step explanation:
1. FALSE. If X and Y are 2 solutions to the equation AX = b, then A(X+Y) = AX +AY = b+b = 2b ≠ b as b ≠ 0. This implies that X+Y is not a solution to the equation AX = b. Hence the set of solutions to the equation AX = b is not closed under vector addition.
2. FALSE. If X is a solution to the equation AX = b and if k is an arbitrary scalar other than 1, then A(kX) = kAX = kb≠ b. This implies that kX is not a solution to the equation AX = b. Hence the set of solutions to the equation AX = b is not closed under scalar multiplication.
3. FALSE, unless b = 0. A.0 = 0 . Since b ≠ 0, the set of solutions to the equation AX = b does not contain the 0 vector.
4. FALSE. In view of 1,2,3 above, the set of solutions to the equation AX = b is not a subspace since b ≠ 0.