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3 years ago

Please find the area

Mathematics

1 answer:

Vlada [557]3 years ago

3 0

Step-by-step explanation:

Draw a dotted line from b to e

as I've done

you will realize that abfe is a rectangle ,and bced is a trapezium

Area of abfe

=LW

=13ft(10ft)

=130ft^2

Area of bced

=1/2(sum of // sides )height

=1/2(eb+cd)h

h=16ft-10ft

h=6ft

A=1/2(13ft+6ft)×6ft

=19ft(3ft)

=57ft^2

Total areal =(57+130)ft^2

=187ft^2

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KiRa [710]

Answer:

(a) The probability that a text message user receives or sends three messages per hour is 0.2180.

(b) The probability that a text message user receives or sends more than three messages per hour is 0.2667.

Step-by-step explanation:

Let X = number of text messages receive or send in an hour.

The random variable X follows a Poisson distribution with parameter λ.

It is provided that users receive or send 62.7 text messages in 24 hours.

Then the average number of text messages received or sent in an hour is: $\lambda=\frac{62.7}{24}= 2.6125$ .

The probability of a random variable can be computed using the formula:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!} ;\ x=0, 1, 2, 3, ...$

(a)

Compute the probability that a text message user receives or sends three messages per hour as follows:

$P(X=3)=\frac{e^{-2.6125}(2.6125)^{3}}{3!} =0.21798\approx0.2180$

Thus, the probability that a text message user receives or sends three messages per hour is 0.2180.

(b)

Compute the probability that a text message user receives or sends more than three messages per hour as follows:

P (X > 3) = 1 - P (X ≤ 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

$=1-\frac{e^{-2.6125}(2.6125)^{0}}{0!}-\frac{e^{-2.6125}(2.6125)^{1}}{1!}-\frac{e^{-2.6125}(2.6125)^{2}}{2!}-\frac{e^{-2.6125}(2.6125)^{3}}{3!}\\=1-0.0734-0.1916-0.2503-0.2180\\=0.2667$

Thus, the probability that a text message user receives or sends more than three messages per hour is 0.2667.

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3 years ago

EASY QUICK POINTS!!!! Find the altitude of an equilateral triangle if each side of the triangle has the length of 6 meters!!!

KonstantinChe [14]

Answer:

5.20 to the nearest hundredth.

Step-by-step explanation:

The altitude line bisects the base of the triangle to form 2 right angled triangles with hypotenuse = 6 and the base = 3.

So, by the Pythagoras theorem the altitude is calculated as follows:

6^2 = 3^2 + x^2

x^2 = 36 - 9 = 27

x = √27

= 5.20 to the nearest hundredth.

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3 years ago

The perimeter of a 5 sided figure is 45.56 meters. Two of the sides have the same length. The sum of the other three side length

klio [65]

Let

x---------> the length of the sides that have the same length in meters

we know that

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4 years ago

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klemol [59]

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Comment on the triangle inequality

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4 years ago

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