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3241004551 [841]
4 years ago
13

What is the standard variation for this data set 6 4 9 5 5 4 5

Mathematics
1 answer:
inysia [295]4 years ago
6 0
The standard deviation is 1.87

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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
alekssr [168]

Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
3 years ago
The school basketball team won the game. The finals score was a two digit number. The digit in the tens place was the number tha
8_murik_8 [283]

Answer:

1? Because its the only number beetween 2 and 0.

5 0
3 years ago
Please help for D, E and F
Phantasy [73]
D) 24/65 because it represents the number of players with 1-5 years of experience out of the overall total interviewed.

E) 3/11 because out of the eleven rookies, only three of them were under 200 lbs.

F) out of the 8 that reported to be under 200 pounds, only 3 were rookies, so the probability is 3/8
6 0
3 years ago
Liam has 3/4 gallon of milk in one container and 1/5 gallon in
vazorg [7]
Altogether he has 1 and 1/8 gallon of milk
5 0
3 years ago
On a piece of paper, graph the system of equations. Y=x-2 y=x^2-6x+8
pantera1 [17]

Answer: C

Step-by-step explanation: graph both equations and see where they intersect. Use desmos.com/calculator

4 0
3 years ago
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