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3 years ago

Find the mean of the following data: 10, 16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10, 9

Mathematics

2 answers:

Vikentia [17]3 years ago

7 0

Answer:

Step-by-step explanation:

10+16+15+14+8+21+10+5+19+18+4+5+16+12+10+9=192

192/16=12

Evgesh-ka [11]3 years ago

5 0

Answer:

Step-by-step explanation:

add all them together, then divide by the amt. of numbers there are.

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Find the sine of Write your answer in simplified, rationalized form. Do not round. Please help!!!!!

erma4kov [3.2K]

Answer:

Sin (E) = √74/(2√23)

Step-by-step explanation:

Reference Angle = E

Hypotenuse = 2√23

Adjacent = 3√2

Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)

Recall SOHCAHTOA.

Thus,

Sin (E) = opp/hyp

Sin (E) = √74/(2√23)

6 0

2 years ago

Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain perce

oee [108]

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

% gain = (16,800-14,000)/14,000 * 100/1

% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%

7 0

2 years ago

Could use some help!

Natasha_Volkova [10]

[6, ∞) , x >= 6 so

answer is D. last one

6<= x < ∞

6 0

2 years ago

PLSS HELP ME!!! question 3x - 4/5= - 1/2 what is the value of x?

Minchanka [31]

Answer:

x = $\frac{1}{10}$

Step-by-step explanation:

Given

3x - $\frac{4}{5}$ = - $\frac{1}{2}$

Multiply through by 10, the lcm of 5 and 2 to clear the fractions

30x - 8 = - 5 ( add 8 to both sides )

30x = 3 ( divide both sides by 30 )

x = $\frac{3}{30}$ = $\frac{1}{10}$

7 0

2 years ago

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

2 years ago