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GenaCL600 [577]
3 years ago
6

Let X be a continuous random variable with a uniform distribution on the interval open square brackets 0 comma 10 close square b

rackets. Find straight P open parentheses straight X less than 1 space or space straight X greater than 8 close parentheses.
Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

X has PDF

f_X(x)=\begin{cases}\frac1{10}&\text{for }0\le x\le10\\0&\text{otherwise}\end{cases}

and thus CDF

F_X(x)=\begin{cases}0&\text{for }x10\end{cases}

Because X is continuous, we have

P(X8)=1-P(1\le X\le8)=1-(P(X\le8)-P(X\le1))

P(X8)=1-P(X\le 8)+P(X\le1)

P(X8)=1-F_X(8)+F_X(1)

P(X8)=1-\dfrac8{10}+\dfrac1{10}=\boxed{\dfrac3{10}}

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Berechne jeweils die Höhe der Pyramiden!<br>a) V = 140 cm3<br>G = 28 cm2<br>h = ?​
kozerog [31]

Answer:

untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:

Oberfläche = Grundfläche + Mantelfläche

Volumen = Grundfläche · Pyramidenhöhe : 3

Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).

JSXGraph v0.95 Copyright (C) see http://jsxgraph.org

ha = 5.83 cm

h = 5.00 cm

a = 6.00 cm

b = 6.01 cm

hb = 5.83 cm

V = 60.10 cm³

Ap = 106.11 cm²

AM = 70.05 cm²

AG = 36.06 cm²

 –  o  +  ←  ↓  ↑  → 

rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche

OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3

VP = AG · h : 3

VP = a · b · h : 3VP = a² · h : 3

Step-by-step explanation:

#semogamembantu

5 0
3 years ago
Expanded -8(-2x-5)<br> please give answer
nika2105 [10]

Answer:

-80

Step-by-step explanation:

We have to do the parentheses first because it's part of PEDMAS.

-2x-5= 10

Next, we take 10 times -8

-8 x 10= -80

There you go! Hope this helps!

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3 years ago
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The radius of the circle is 1.

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I need helping solving -3z+7=-7-10z
Tpy6a [65]
-3z + 7 = -7 - 10z

Add 10z to both sides

7z + 7 = -7

Subtract 7 from both sides

7z = -14

Divide by 7

Z = -2
8 0
4 years ago
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The measure of angle 1 is 130°.
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Answer:

The angle opposite angle 1

Step-by-step explanation:

Opposite angles have the same degree when two lines intersect because they are vertical angles.

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