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2 years ago

Using standard form, write

Mathematics

1 answer:

elixir [45]2 years ago

7 0

Answer:

y= -1x +4

Step-by-step explanation:

So if you meant (-6,10) then I have solved it.

Writing this in y= mx+b form we already have M

y= -1x + b

So let’s substitute by putting in then y and x

10 = -1(-6) + b

10 -6= 6 -6+ b

4 = b

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2. The prices of several different cereals are given below. Find the mean, median, mode, MAD, and IQR of these values. Which mea

Maru [420]

Mean = $ 4. 72

Median = $ 4. 5

Mode = No mode

MAD = $ 4. 8

IQR = $ 0. 5

Measure of center = $ 4. 5

Measure of variability = $ 2. 50

<h3>How to determine the values</h3>

Given the data;

$3.50, $4.25, $6, $4.75, $5.80, $4

Mean = sum of data/ number of data values

Mean = $\frac{3. 50 + 4. 25 + 6 + 4. 75 + 5. 80 + 4}{6}$

Mean = $ 4. 72

Median is the number in the center when the data is arranged in an ascending order

$3. 50, $4, $4. 25, $4. 75, $5. 80, $6

Median = $\frac{4. 25 + 4. 75}{2}$

Median = $ 4. 5

Mode is the number with the highest repeats.

From the given data, none of the numbers was repeated.

Thus, there is no mode.

MAD, mean absolute deviation = |data value - mean|

MAD = $|(3. 50 - 4. 72) + (4. 25 - 4. 72) + (6 - 4. 72) + (4. 75 - 4. 72) + (5. 80 - 4.72) + (4- 4. 72) |$

MAD = $1. 22 + 0. 47 + 1. 28 + 0. 03 + 1. 08 + 0. 72$

MAD = $ 4. 8

IQR, interquartile range = Quartile 3 - quartile 1

IQR = 4. 75 - 4. 25

IQR = $0. 5

Note that the mean and median are the most common measures of center.

A measure of variability is a single number that is used to describe the spread of a data set

The measure of the center best for the data is the median = $4. 5

Measure of variability = range = highest value - lowest value = $6 - $3. 50 = $2. 50

Learn more about mean here:

brainly.com/question/20118982

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5 0

2 years ago

A box contains 9 pounds of sand the entire box of sand will be poured in equal amounts into 6 small bags how many bags of sand w

spayn [35]

Answer: 1 1/2

Step-by-step explanation: So you have 9 pounds and you have to distribute it out between 6 bags, so 9 divided by 6 you get 1 1/2 and so 1 1/2 pounds of sand go into each small bag

5 0

3 years ago

5x-10x+ 2(3y-2)= 10y-5x + 4

Bas_tet [7]

5x-10x+ 2(3y-2)= 10y-5x + 4

Multiply 2 x 3y and by -2

5x-10x+6y-4=10y-5x+4

You get 6y-4

-5x+6y-4=10y-5x+4

Subtract 10x from 5x to get -5x

6y-4=10y+4

Add 5x to the -5x

6y=10y+8

Add 4 to the other side to get 8

-4y=8

Subtract 6y-10y to get -4y

-4y/-4=8/-4

Divide -4y and 8 by -4 to get y by itself and -2

Y=-2

Answer

Hope this helps

6 0

3 years ago

Find the solution to the system of equations. You can use the interactive graph below to find the solution. y=-4x-3 y=-2x+1 x= y

Mama L [17]

Answer:

(-2, 5)

Step-by-step explanation:

I will assume that your system is

y = -4x - 3

y = -2x + 1

Multiplying the second equation by -2 results in

y = -4x - 3

-2y = 4x - 2

combining these two equations eliminates x temporarily:

-y = -5, so that y must be 5.

Substituting 5 for y in the second equation, we get:

5 = -2x + 1, or

4 = -2x, which results in x = -2

and so the solution is (-2, 5)

4 0

3 years ago

Which interval for the graphed function contams the local<br> maximum?

Natasha2012 [34]

Answer:

$[0,2]$

Step-by-step explanation:

A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.

The crest of a wave is local maximum and the trough of wave is local minimum.

Here, in the graph, there are 2 troughs and 1 crest.

The crest is at $(1.55,10.8)$ . So, the local maximum is at $(1.55,10.8)$ .

The interval of the local maximum is between $x = 0$ and $x = 3$ .

So, the option that matches with the above interval is $[0,2]$ .

6 0

3 years ago