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2 years ago

Find the value of x. 31° to 35°

Mathematics

2 answers:

GuDViN [60]2 years ago

7 0

$31\textdegree + 35\textdegree + x \textdegree= 180\textdegree$

$66\textdegree + x\textdegree = 180\textdegree$

$x\textdegree = 180 \textdegree- 66\textdegree$

$x \textdegree= 114\textdegree$

I hope that I helped you!

VMariaS [17]2 years ago

3 0

Step-by-step explanation:

the sum of all angles in a triangle is always (ALWAYS !) 180°.

180 = 31 + 35 + x = 66 + x

x = 180 - 66 = 114°

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yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

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4 years ago

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Answer:

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Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

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Solving, we get:

$\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}$

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3 years ago

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bezimeni [28]

Answer:

Step-by-step explanation:

According to the first expression:

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According to the second expression:

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Mrrafil [7]

Answer:

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Step-by-step explanation:

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