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Allisa [31]
3 years ago
9

Draw line ST intersecting plane M at point R

Mathematics
1 answer:
Elanso [62]3 years ago
5 0
The terms point, line and plane, are the undefined terms in geometry. They are so basic that these terms are used to define other terms in geometry. You can describe a point to be indicating a location or position without any thickness. A line is a series of points that travel in one direction infinitely at both ends. A plane is a flat surface of area. The diagram of line ST intersecting plane M at point R is shown in the attached picture.

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Find the probability of at least three successes in six trials of a binomial experiment in which the probability of success is 5
Amanda [17]

Answer:

31.3%

Step-by-step explanation:

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is  

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)  

We are interested in the x^3y^3 term which represents exactly 3 successes. Since the probability of success and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is  

20/64 = .3125 which is 31.25% Rounding yo the nearest tenth gives us

8 0
3 years ago
Cos4theta+cos2theta/ cos4theta-cos2theta= _____
vovangra [49]

\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}

\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )

8 0
3 years ago
What is the sum of the first 10 terms in this geometric sequence? 3,-6,12,-24
lana [24]
<span>3,-6,12,-24,48,-96,192,-384,768,-1536

sum:
</span>3 -6+12 -24+ 48 -96+ 192 -384+ 768 -1536 = -1023

Answer is C. -1023

4 0
3 years ago
Read 2 more answers
I need help. it’s due tonight.thank you
masha68 [24]

Answer:28

Step-by-step explanation:

8 0
3 years ago
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Vladimir79 [104]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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