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Marianna [84]
3 years ago
8

In one day, Annie traveled 5 times the sum of the number of hours Brian traveled and 2. Together they traveled 20 hours. Find th

e number of hours each person traveled.
Mathematics
1 answer:
zimovet [89]3 years ago
7 0
Brian traveled 3 hours and annie traved 17 hours because 3 times 5 is 15 plus 2 is 17 and 17 plus 3 is 20 hours
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Kite WXYZ is graphed on a coordinate plane. What is the approximate perimeter of the kite? Round to the nearest tenth. 10.6 unit
Archy [21]

<u>Answer-</u>

<em>Perimeter of the kite is </em><em>16.2 units</em>

<u>Solution-</u>

As WXYZ is a kite, so two disjoint pairs of consecutive sides are congruent, i.e WX=XY and WZ=ZY

So, perimeter of the kite WXYZ is,

=2(\overline{WX}+\overline{WZ})

And

\overline{WX}=\sqrt{(1-3)^2+(1-4)^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}

\overline{WZ}=\sqrt{(1-3)^2+(1+3)^2}=\sqrt{(-2)^2+(4)^2}=\sqrt{4+16}=\sqrt{20}

So, perimeter will be,

P=2(\sqrt{13}+\sqrt{20})=16.15\approx 16.2\ units

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2 years ago
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Rainbow [258]

Answer:

0.391+8.42=8.811

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Step-by-step explanation:

Your answer is 10.42 c:

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2 years ago
The random variable X~(30,2^2) <br> Find p(X&lt;33) <br> Find p(X&gt;26)
Ostrovityanka [42]

Answer:

i) P(X<33)  = 0.9232

ii) P(X>26) = 0.001

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 30

Given that the standard deviation of the Population = 4

Let 'X' be the Normal distribution

<u>Step(ii):-</u>

i)

Given that the random variable  X = 33

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P(X<33) = P( Z<1.5)

              = 1- P(Z>1.5)

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<u>Step(iii) :-</u>

Given that the random variable  X = 26

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P(X>26)  = P( Z>3.5)

              = 0.5 - A(3.5)

              = 0.5 - 0.4990

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P(X>26) = 0.001

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