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2 years ago

Math Problem Solvingstatistics and probability

Mathematics

1 answer:

luda_lava [24]2 years ago

5 0

Answer:

Standard Deviation = 3.22

Variance = 10.36

Step-by-step explanation:

x P(x) x × P(x) x² x² × P(x)

19 0.20 3.8 361 72.2

10 0.20 2 100 20

11 0.30 3.3 121 36.3

12 0.20 2.4 144 28.8

13 0.10 1.3 169 16.9

____________________________________________

12.8 174.2 => Total

Mean Formula

$\mu_x = \sum(x \times P(x))$ $= 12.8$

$\mu_x^2 = 163.84$

Variance Formula

$\sigma _x^2 = \sum[x^2 \times P(x)] - \mu_x^2$

$= 174.2- 163.84\\\\=10.36$

Standard Deviation Formula

$Standard\ deviation, \ \sigma_x = \sqrt{Variance}$

$=\sqrt{10.36}\\\\=3.218$

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Is it possible to draw a triangle with these

trasher [3.6K]

Answer:

Yes

Step-by-step explanation:

We have many triangles and we have Isoceles, equilateral and right angled triangle

And when you look at those measurements we can actually construct a right angled triangle from the above measurements.

Hope its Helpful.

Plz brainliest

6 0

3 years ago

Read 2 more answers

Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

Is the following statement always, sometimes, or never true? “The supplement of an acute angle is an obtuse angle.” Explain your

balu736 [363]

Answer:

Always

Step-by-step explanation:

An acute angle is an angle that is less than 90. Supplementary angles add up to 180.

So 180-89= 91

An obtuse angle is any angle that is greater than 90.

Here's a link to a better explanation.

brainly.com/question/14180317

7 0

3 years ago

Read 2 more answers

Anybody can help?????

Vikentia [17]

The formula of an area of a circle:

$A=\pi r^2$

r - a radius

We have r = 14m. Substitute:

$A=\pi\cdot14^2=196\pi\ m^2$

If you want an approximate area, you can accept $\pi\approx3.14$

Then:

$A\approx196\cdot3.14=615.44\ m^2$

7 0

3 years ago

Rudy is 6 feet 6 inches tall, weighs 210 pounds, and is very muscular. if you think that rudy is more likely to be a basketball

madam [21]

The answer is representativeness heuristic. This is used when making decisions about the likelihood of an occasion under doubt. It is unique of a group of heuristics (simple rules leading decision or decision-making) suggested by psychologists Amos Tversky and Daniel Kahneman in the 1970s.

3 0

3 years ago

Math Problem Solvingstatistics and probability​

Math Problem Solvingstatistics and probability