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2 years ago

6

Miley went to the store with a $10 bill. She went to get 8 jumbo dill pickles for her family. If she spent the whole $10, what w

as the cost of each jumbo dill pickle?

2 answers:

vagabundo [1.1K]2 years ago

6 0

The answer is $1.25 because 10 divided by 8 is 1.25

Vadim26 [7]2 years ago

3 0

answer is 1.25

because 10 divided by 8 equals 1.25

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Show that if X is a geometric random variable with parameter p, then

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Answer:

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Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

In order to find the expected value E(1/X) we need to find this sum:

$E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}$

Lets consider the following series:

$\sum_{k=1}^{\infty} b^{k-1}$

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

$\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}$ (a)

On the last step we assume that $0\leq r\leq b$ and $\sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}$ , then the integral on the left part of equation (a) would be 1. And we have:

$\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)$

And for the next step we have:

$\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}$

And with this we have the requiered proof.

And since $b=1-p$ we have that:

$\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}$

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2 years ago

If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?

Georgia [21]

Answer:

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Step-by-step explanation:

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2 years ago

R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?

lbvjy [14]

Q -------------R------------S

suppose this is your line,

R is the mid point

and it's given that

QR = 2x
and
RS = x+3

as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3

as,
it's given that RS = x + 3
then,
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