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4 years ago

16, 10, 5, 7, 13

Mathematics

2 answers:

galina1969 [7]4 years ago

4 0

Answer:

Step-by-step explanation:

Mean = sum of the items in the sample/number of items in the sample

Number of items(ages) = 5

Sum of ages = 16 + 10 + 5 + 7 + 13 = 51

Mean = 51/5 = 10.2

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (16 - 10.2)^2 + (10 - 10.2)^2 + (5 - 10.2)^2 + (7 - 10.2)^2 + (13 - 10.2)^2 = 78.8

Standard deviation = √78.8/5

Standard deviation = 4.0 rounded to the nearest tenth

yan [13]4 years ago

3 0

Answer:

Mean = 10.2

Standard deviation = 4.0

Step-by-step explanation:

The average age = mean age

Mean = (16 + 10 + 5 + 7 + 13)/5

Mean = 51/5 = 10.2

What is the standard deviation will be square root of variance

(16 - 10.2) + (10 -10.2) + (5-10.2) + (7-10.2)+( 13-10.2)

5.8 + 0.2 -5.2 - 3.2 + 2.8

Square each number

33.64 + 0.04 + 27.04 + 10.24 + 7.84

Variance = 78.8/5 = 15.76

Standard deviation = 3.969 = 4.0

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4 years ago

ANWSER both questions pls for brainly

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Answer:

40x-24

3b(6c-3a+c)

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For the first one use distributive property and multiply each term by 8.

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3 years ago

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Enlarge the triangle by scale factor of -1/3

Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

Scale factor, k = -1/3
Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

$(x,y) \to (k(x - a) + a, k(y - b) + b)$

So, we have:

$A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)$

A' = (0, 2)

$B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)$

B' = (0, 4)

$C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)$

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

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brainly.com/question/3457976

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4 0

3 years ago

10 points i guess

Elena-2011 [213]

Part A.
Using the Pythagorean theorem,
PR² = PQ² +QR²
PR² = (14 ft)² +(6 ft)² = 196 ft² +36 ft² . . . . substitute the given numbers
PR² = 232 ft² . . . . . . . . . . . . . . . . . . . . . . . .find the sum
PR = √(232 ft²) ≈ 15.23 ft . . . . . . . . . . . . . take the square root
The length of rod PR is 15.23 ft.

Part B.
Using the Pythagorean theorem,
PR² = PQ² +QR²
(16 ft)² = (14 ft)² +QR² . . . . . . . substitute the given numbers
256 ft² -196 ft² = QR² . . . . . .. subtract 14²
60 ft² = QR² . . . . . . . . . . . . . . find the sum
√(60 ft²) = QR ≈ 7.75 ft . . . . . take the square root
The new height QR is about 7.75 ft.

8 0

4 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

Nady [450]

For this case we have the following polynomial:
$x ^ 2 = 12x - 15
$
The first thing to do is to place the variables on the same side of the equation.
We have then:
$x ^ 2 - 12x = -15
$
We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
We have then:
$x ^ 2 - 12x + (-12/2) ^ 2 = -15 + (-12/2) ^ 2
$
Rewriting we have:
$x ^ 2 - 12x + (-6) ^ 2 = -15 + (-6) ^ 2

x ^ 2 - 12x + 36 = -15 + 36
 
(x-6) ^ 2 = 21$
$x-6 =+/- \sqrt{21}$
Therefore, the solutions are:
$x = 6 - \sqrt{21}$
$x = 6 + \sqrt{21}$
Answer:
the solution set of the equation is:
$x = 6 - \sqrt{21}$
$x = 6 + \sqrt{21}$

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3 years ago

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