What is the mean for 20 30 40 50 60 70 80 90 110 120 130?

Answers

Answer 1
Answer: TO find the mean of a group of numbers you simply find the average. To do that, just simply add up all the numbers, then divide by how many numbers there are. So when you add up all of those numbers you get to a sum of: 800
Then divide by the totaly amount of numbers which is 11, so 800 divided by 11 equals: 
The mean for those set of numbers is: 72.7272 reapeating so...
72.72 (with a little line over the digits on the right side of the decimal)

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115.9% as a decimal?

Answers

To turn a percent into a decimal you have to move the dot 2 to the left.

115.9% = 1.159
1.1159 hope It's helpfull :)

Solve the equation sin^2 x=3 cos ^2 x

Answers

Answer:

Step-by-step explanation:

Answer:

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

Explanation:

(

sin

x

)

2

=

3

(

cos

x

)

2

(

sin

x

)

2

=

3

(

1

(

sin

x

)

2

)

(

sin

x

)

2

=

3

3

(

sin

x

)

2

4

(

sin

x

)

2

=

3

(

sin

x

)

2

=

3

4

sin

x

=

±

(

3

2

)

x

=

π

3

,

π

π

3

,

π

+

π

3

,

(

2

π

)

π

3

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

If this was in the region

0

x

2

π

\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}

\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}

that is, on the interval [0, 2π].

What is the LCD of 3 8/9 and 1 5/12?

Answers

I believe that the answer is 36. 

Answer:

Yes 36

Step-by-step explanation:

Thirty is 60% of what number

Answers

When you see 'is' that means an = sign
When you see 'of' that means a x (multiplication) sign

So

30 is 60% of what number

Let us define this 'what number' as x.

So:

30 is 60% of x

Translating that into an equation based on what I said above, we get:

\sf{30 = (60)/(100)* x}

Solve for x:

\sf{(30*100)/(60)=x

And simplfying that:

\sf{x=50}

So your final answer is \sf{\boxed{50}}

4/5+×=13/5 how do I solve this problem

Answers

Subtract 4/5 from each side.
You get x=9/5
For future problems like this,  use the inverse operations.
Inverse operations:  (Addition,  subtraction)  (Multiply,  divide)
Like if it is 5x=25,  divide by 5.
x=5
For this x=9/5 though

A marine biologist is doing research on a shellfish that lives 80 feet below sea level. The marine biologist dies into the sea at aall Ye that is no less than -5 feet per second. How long will it take the marine biologist to reach the shellfish?

Answers

You would do 80 divided by 5 to find how many seconds it takes for the diver to reach the shellfish.

80 divided by 5=

16 seconds