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Lisa [10]
3 years ago
14

Find the population mean or sample mean as indicated. ​population: 44​, 22​, 1111​, 1717​, 2121

Mathematics
1 answer:
vlada-n [284]3 years ago
4 0
The mean of the sample given by 44,22,11,17,21 will be given by:
\mu= \frac{\Sigma  x_i}{n}
the sum of x's will be:
44+22+11+17+21
=115
n=5
therefore the mean will be:
μ=115/5
=23 
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42.86

Step-by-step explanation:

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There are 4 boxes of 100 sheets of paper and some single sheets of paper in the closet . Choose all the numbers that show how ma
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Write as a single term: cos(2x) cos(x) + sin(2x) sin(x)
GREYUIT [131]

Answer: cos(x)

Step-by-step explanation:

We have  

sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y)   (1)   and

cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y)  (2)

From eq. (1)

if x = y

sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)

From eq. 2

If x = y

cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x)  ⇒ cos²(x) - sin²(x)

cos (2x) = cos²(x) - sin²(x)

Hence:The expression:

cos(2x) cos(x) + sin(2x) sin(x)  (3)

Subtition of sin(2x) and cos(2x)  in eq. 3

[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)

and operating

cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)

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8 0
3 years ago
!1
weqwewe [10]
The answer is option B

Hope I didn't mess up for your sake
8 0
3 years ago
A suitcase measures 24 inches long and -8 i aches high. What is the diagonal length of the suitcase? (Pythagorean Theorem)
BartSMP [9]

Answer:

Diagonal Length = 8\sqrt{10}  inches

Step-by-step explanation:

The suitcase is a rectangle with one side being 24 and another side being 8.

The diagonal is the line through the middle connecting two opposite corners.

If we draw the diagonal, it creates a triangle with one leg being 24 and another being 8.

The diagonal is the "hypotenuse" of the triangle.

Now, the pythagorean theorem:

leg^2 + another leg^2 = hypotenuse^2

So, we substitute the values known and find the hypotenuse (which is length of the diagonal). Shown below:

24^2+8^2=h^2\\640=h^2\\h=\sqrt{640}\\h=\sqrt{64*10}\\h=\sqrt{64}\sqrt{10}\\h=8\sqrt{10}

We have written the answer in exact form (with radical in simplified term).

We also use the radical property  \sqrt{a*b}=\sqrt{a}\sqrt{b}

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