Find the mean, median, and mode of the data set. Round to the nearest tenth.15, 1, 4, 4, 8, 7, 15, 4, 15, 4, 5
Choose one answer.
a. mean = 6.8, median = 5, mode = 4
b. mean = 7.5, median = 5, mode = 4
c. mean = 7.5, median = 8, mode =4
d. mean = 6.8, median = 5, mode = 8

Answers

Answer 1

Answer: First im gonna organize the numbers from smallest to biggest:
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 ( These are 11 numbers)

For mean, you have to add all the numbers then divide it by 11.
The answer is about 7.5

For median, you have to find the "middle number, but you have to organize the numbers from smallest to largest like I did.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 . 5 is the middle number, well because its in the middle

For mode you have to find the number that is most repeated.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 (there are three 15's)
There are four 4's so the answer is 4

The answer, then is B

Answer 2

Answer: The mean is the average, add up the numbers and divide by how many numbers there are.

$\sf~Mean=(15+1+4+4+8+7+15+4+15+4+5)/(11)$

Add:

$\sf~Mean=(82)/(11)$

Divide:

$\sf~Mean\approx7.5$

The median is the middle number. First, line up the numbers in order of least to greatest.

1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15

Now find the number in the middle:

That number is 5, so that's our median.

The mode is the most repeated number.

As you can see, 4 is repeated the most, so it's the mode.

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Step by step solve this problem -4=r/20-5

Answers

-4 = $(r)/(20)$ - 5
$(r)/(20)$ - 5 = -4 (Switched sides)
( $(r)/(20)$ - 5)20 = (-4)20 (Multiply both sides by 20)
r-100 = -80
r - 100 + 100 = -80 + 100 (Add 100 to each side)
r = 20

Hope this helped :)

the length of a rectangle is 6 times width if the width is represented by y then write an algebraic expression that describes the length

Answers

Required expression is length = 6y

Solve each system of equations by graphing y=-1/2x+5 and y=3x-2

Answers

just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.

If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.

Steve has 120 feet of fence to make a rectangular kennel for his dogs. He will use his house as one side. Write an algebraic expression for the kennel's length.

Answers

It would be 4x feet, where x=30.

Let f be a function of two variables that has continuous partial derivatives and consider the pointsA(8, 9),

B(10, 9),

C(8, 10),

and

D(11, 13).

The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of

AC is 2. Find the directional derivative of f at A in the direction of the vector AD.

(Round your answer to two decimal places.)