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BaLLatris [955]
3 years ago
6

Find the missing length. If needed, round to the nearest tenth.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Line DE is parallel to line AG.

Also, triangle ABG is similar to triangle to triangle DBE.

Therefore,

AB/DB = GB/EB = AG/DE

AB = 5 + 6 = 11

GB = 9 + x

Therefore,

11/6 = (9 + x)/9

Cross multiplying, it becomes

11 × 9 = 6(9 + x)

99 = 54 + 6x

Subtracting 54 from the Left hand side and the right hand side of the equation, it becomes

54 - 54 + 6x = 99 - 54

6x = 45

Dividing the Left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 45/6

x = 7.5

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shepuryov [24]

Answer:

Probability distribution

X    P(X)

0    1/8

1     3/8  

2    3/8

3     1/8

Step-by-step explanation:

When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are

Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}

The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:

X   Outcomes           P(X)

0    HHH                    1/8

1     HHT,THH,HTH    3/8  

2    TTH,HTT,THT     3/8

3    TTT                        1/8

The probability distribution of X is as under:

X    P(X)

0    1/8

1     3/8  

2    3/8

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Let v be the volume of a sphere, s be the surface area of the sphere, and r be the radius of the sphere. which equation represen
MakcuM [25]
Let
v-------> <span> the volume of a sphere
s-------> t</span><span>he surface area of the sphere
r------> </span><span>the radius of the sphere

we know that
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and
S=4*pi*r²-----> equation 2

substitute equation 2 in equation 1
so
v=(r/3)*4*pi*r²-------> v=(r/3)*s

the answer is
the equation that <span>represents the relationship between these three measures
</span> v=(r/3)*s

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