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2 years ago

6

You have prizes to reveal! Go to your game board. xThe surface area of this cube is 96 square meters. What is the value of y?9 m

6 m4 m3 m

2 answers:

Tema [17]2 years ago

8 0

Since cube has all sides equal and therefor al sides equal aera and 6 sides
SA=6s^2
96=6s^2
divide both sides by 6
16=s^2
sqrt both sides
4=s=y

4 is answer

miv72 [106K]2 years ago

8 0

The value of y= 4 m
because there are 6 faces each face has an area of 16 (4×4)
16×6=96

hope this helps

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What is the value of x, when x2 + 5 = 21?

djverab [1.8K]

Hey there!

$\bold{x^2+5=21}$
<em>Firstly, subtract by the number $\bold{5}$ on each of your sides</em>
$\bold{x^2+5-5=21-5}$
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$\bold{x^2=16}$
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2 years ago

The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

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b) 0.0111

c) 0.0041

Step-by-step explanation:

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The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

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$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

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$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

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