i need help on how t convert 8 and 4/5 into a decimal

Bryndle Digh
2022-10-05

i need help on how t convert 8 and 4/5 into a decimal

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asked 2020-12-30

A majorette in a parade is performing some acrobatic twirlingsof her baton. Assume that the baton is a uniform rod of mass 0.120 kg and length 80.0 cm.

With a skillful move, the majorette changes the rotation ofher baton so that now it is spinning about an axis passing throughits end at the same angular velocity 3.00 rad/s as before. What is the new angularmomentum of the rod?

asked 2022-03-18

2x ≡ 6(mod 4)

asked 2022-05-08

Jane chooses a number X at random from the set of numbers

{1, 2, 3, 4}, so that

P(X = k) =

1

4

for k = 1, 2, 3, 4.

She then chooses a number Y at random from the subset of

numbers {X, ...,

4

}; for example, if

X = 3, then Y is chosen at

random from {

3,

4}

.

(i) Find the joint probability distribution of X and Y and display

it in the form of a two-way table.

[5 marks]

(ii) Find the marginal probability distribution of Y , and hence

find E(Y ) and V ar(Y ).

[4 marks]

(iii) Show that Cov(X, Y ) = 5/8.

[4 marks]

(iv) Find the probability distribution of U = X + Y . [7

asked 2022-07-08

The sum of a number and twelve is −14. Find the number.

asked 2022-08-18

asked 2022-03-15

Accuracy of confidence intervals

Suppose I have iid observations $X}_{i$ (empirical mean $\stackrel{\u2015}{X}}_{n$), drawn from a distribution with unknown mean $\mu$ and known variance $\sigma}^{2$. To build a confidence interval for $\mu$ I can use the central limit theorem that states:

and get the following approximation (if I am not mistaken), with $\varphi$ being the quantile function of the standard normal distribution:

I've always been told to just provide this as an answer for an interval with $1-\alpha$ confidence level. But what about the real confidence level? It must be something like $1-\alpha -{\u03f5}_{n}$, right? What about $\u03f5}_{n$?

asked 2022-06-08

How is sigma notation related to a *Riemann sum* and what is the significance of this relationship? Justify your answers with a thorough explanation of the mathematical concepts involved.