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3 years ago

Question 16 PLZ HELP

Mathematics

2 answers:

NemiM [27]3 years ago

5 0

46 is the outlier. its wayy larger then the others, and will affect the average. see, when you add everything together you wont be dividing by 46, youre dividing by the amount of numbers. for explanation, i would put that your boss was trying to fire you in the nicest way possible and that was why the email was so big

kramer3 years ago

4 0

The outlier in the data set is 46 because it is the furthest away from the average sizes of the other data. Therefore, the mean will be 7.2, meaning the average of the data set is larger than it is meant to be. The median is 2.5 which wouldn't change much if 46 wasn't a part of the data. The mode is 2, which would only change if 1, or 3, was a replacement for 46.

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A rectangular area is to be enclosed and divided into thirds. The family has $880 to spend for the fencing material. The outside

viva [34]

Answer:

\W = Width

L = Length

Draw rectangle W x L

Divde rectangle into thirds with two lines parallel with width.

Outside fance perimeter = 2 W + 2 L

Inside fance length = 2 W

Total cost :

( 2 W + 2 L ) * 10 $ + 2 W * 20 $ = 400 $

( 2 W + 2 L ) * 10 + 2 W * 20 = 400

20 W + 20 L + 40 W = 400

60 W + 20 L = 400 Divide both sides by 20

60 W / 20 + 20 L / 20 = 400 / 20

3 W + L = 20 Subtract 3 W to both sides

3 W + L - 3 W = 20 - 3 W

L = 20 - 3W

Area :

A = W * L =

W * ( 20 - 3W ) =

20 W - 3 W ^ 2

First derivation :

dA / dW = 20 - 3 * 2 * W = 20 - 6 W

If first derivation = 0 a function has a local maximum or a local minimum.

dA / dW = 0

20 - 6 W = 0 Add 6 W to both sides

20 - 6 W + 6 W = 0 + 6 W

20 = 6 W Divide both sides by 6

20 / 6 = 6 W / 6

20 / 6 = W

2 * 10 / ( 2 * 3 ) = W

10 / 3 = W

W = 10 / 3 ft

If second derivative < 0 then function has a maximum.

If second derivative > 0 then function has a mimum.

In this case second derivative = - 6

Second derivative < 0 so function has a maximum.

For W = 10 / 3 ft

L = 20 - 3W = 20 - 3 * 10 / 3 = 20 - 10 = 10 ft

Amax = W * L = 10 / 3 * 10 = 100 / 3 ft ^2

5 0

3 years ago

Triangle ABC is translated using the rule (x, y) → (x + 2, y - 2). Which of the following describes the horizontal and vertical

BlackZzzverrR [31]

X controls the left and right movement of the point, while y controls the up and down.

x + 2 means that the new position of the point would be two spaces towards the right of the original point.

y - 2 means that the new position of the point would be two spaces lower than the original point.

Therefore, translate right 2 units, down 2 units, should be your answer

Hope this helps

3 0

3 years ago

What is the answer???

vagabundo [1.1K]

Answer:

3. $\displaystyle x-intercept: [-4\frac{1}{2}, 0] \\ y-intercept: [0, -9] \\ Slope-Intercept\:Form: y = -2x - 9$

2. $\displaystyle x-intercept: [5, 0] \\ y-intercept: [0, 1] \\ Slope-Intercept\:Form: y = -\frac{1}{5}x + 1$

1. $\displaystyle x-intercept: [4, 0] \\ y-intercept: [0, -3] \\ Slope-Intercept\:Form: y = \frac{3}{4}x - 3$

Step-by-step explanation:

−2x - y = 9

x-intercept → Plug in 0 for y to get −4½ for x

y-intercept → Plug in 0 for x to get −9 for y

−2x - y = 9

+ 2x + 2x

_________

$\displaystyle \frac{-y}{-1} = \frac{2x + 9}{-1}$

$\displaystyle y = -2x - 9 →$ Slope-Intercept Form

_______________________________________________

x + 5y = 5

x-intercept → Plug in 0 for y to get 5 for x

y-intercept → Plug in 0 for x to get 1 for y

x + 5y = 5

- x - x

_________

$\displaystyle \frac{5y}{5} = \frac{-x + 5}{5}$

$\displaystyle y = -\frac{1}{5}x + 1 →$ Slope-Intercept Form

_______________________________________________

3x - 4y = 12

x-intercept → Plug in 0 for y to get 4 for x

y-intercept → Plug in 0 for x to get −3 for y

3x - 4y = 12

- 3x - 3x

_________

$\displaystyle \frac{-4y}{-4} = \frac{-3x + 12}{-4}$

$\displaystyle y = \frac{3}{4}x - 3 →$ Slope-Intercept Form

I am joyous to assist you anytime.

4 0

4 years ago

Solve it plz 29x < 38x + 18

storchak [24]

Answer:

x= -2

Step-by-step explanation:

The first thing I did was isolate the x's on one side. I subtracted 38x from both sides. This gives me:

-9x=18.

Now i divide both sides by -9. Giving me x=-2

5 0

3 years ago

A dairy farmer wants to mix a 85% protein supplement and a standard 55% protein ration to make 1200 pounds of a high-grade 80% p

mr_godi [17]

The diary farmer should use 1000 pounds of 85 % protien and 55 % of 200 pounds to make 1200 pounds of a high-grade 80% protein ration

Solution:

Let the amount of 85 % protien supplement be "x"

Then amount of 55 % protien be (1200 - x)

According to given question,

85 % of "x" protien supplement + 55 % of 1200 - x protien used to get 80 % of 1200 pounds

85 % of x + 55 % of (1200 - x) = 80 % of 1200

$\frac{85}{100} \times x + \frac{55}{100} \times (1200 - x) = \frac{80}{100} \times 1200\\\\0.85x + 0.55(1200 - x) = 960\\\\0.85x + 660 - 0.55x = 960\\\\0.3x = 960 - 660\\\\0.3x = 300\\\\x = 1000$

Pounds of 85 % protien used = 1000 pounds

Then pounds of 55 % protien used = 1200 - 1000 = 200 pounds

Thus he should use 1000 pounds of 85 % protien and 200 pounds of 55 % protien to get 1200 pounds of a high-grade 80% protein ration

7 0

3 years ago