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OLga [1]
3 years ago
8

g Two balls are dropped in such a way that each ball is equally likely to fall into any one of four holes. Both balls may fall i

nto the same hole. Let X denote the number of unoccupied holes at the end of the experiment. What is Var X  ?
Mathematics
1 answer:
faust18 [17]3 years ago
5 0

Answer:

0.5

Step-by-step explanation:

X=[3,2]

mean= 5/2

(X-μ)²= [0.25, 0.25]

Var X =Σ (X-μ)²/(n-1)

Var X = (0.25+0.25)/(2-1)

Var X = 0.5

You might be interested in
1.
beks73 [17]
The commutative property of addition means the order of the addends doesn't matter; we get the same sum.  In symbols

a+b = b+a

<span>11 + 7 = 7 + 11, choice B, is a good illustration of commutativity.

The next part asks us to use the commutative property.  Looking at the choices, we see it's not the commutative property of addition we're to use, it's the commutative property of multiplication.  Let's write that generally first:

</span>ab = ba

Applying that, <span>(4 + 7) * 3 = 3*(4+7), again choice B.
</span>
3 0
3 years ago
The population of a small industrial town was 12 910 in 2000. Each year, the population
balandron [24]

The population in the year 2020 is 4628

<h3>How to determine the population?</h3>

The given parameters are:

Initial, a = 12910

Rate, r = 5%

Since the population decreases, then we make use of an exponential decay function.

This is represented as:

f(n) = a * (1 - r)^n

So, we have:

f(n) = 12910 * (1 - 5%)^n

Evaluate the difference

f(n) = 12910 * 0.95^n

2020 is 20 years from 2000.

So, we have:

f(20) = 12910 * 0.95^20

Evaluate

f(20) = 4628

Hence, the population in the year 2020 is 4628

Read more about exponential functions at:

brainly.com/question/14355665

#SPJ1

6 0
1 year ago
20 Points, Brainliest, 5 stars, and &lt;3 if you answer correctly:
trasher [3.6K]

Answer:

3 hours: 38,250

1 day: 122,440

I’m not sure if this is exactly right, my brain gave out half way. Someone check my answer pls

Step-by-step explanation:

3 hours:   3 x 60= 900

                 900 divided by 20= 450

                    450 x 85 = 38,250

1 day:       24 x 60 = 1440

                 1440 x 85 = 122,440

4 0
3 years ago
Read 2 more answers
Complete the equation of variation where y varies inversely as x and y = 80 when x = 0.7.
andre [41]
Y varies inversely with x
means that y=k/x 
with x=0.7 and y=80
we have 80=k/0.7
k=0.7x80=56
so the equation is 
y=56/x
3 0
3 years ago
Read 2 more answers
Minimum point of the quadratic x^2+6x-2
WITCHER [35]

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

x=-\dfrac{(6)}{2(1)}\\=-3

Subsitute -3 for x in given quadratic equation.

y=(-3)^2+6(-3)-2\\=9-18-2\\=-11

The minimum point is (-3,-11).

3 0
2 years ago
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