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2 years ago

Write this number in expanded form twenty three thousand four hundred thirty six

Mathematics

2 answers:

Art [367]2 years ago

8 0

20,000+ 3,000+ 400+30+6

jok3333 [9.3K]2 years ago

5 0

20,000 + 3,000 + 400 + 30 + 6

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Which relationship has a zero slope?

Mandarinka [93]

Answer: X=0

Step-by-step explanation when there is no slope the x=0. The line would be flat and horizontal.

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2 years ago

Consider a discrete random variable x with pmf px (1) = c 3 ; px (2) = c 6 ; px (5) = c 3 and 0 otherwise, where c is a positive

PtichkaEL [24]

Looks like the PMF is supposed to be

$\mathbb P(X=x)=\begin{cases}\dfrac c3&\text{for }x\in\{1,5\}\\\\\dfrac c6&\text{for }x=2\\\\0&\text{otherwise}\end{cases}$

which is kinda weird, but it's not entirely clear what you meant...

Anyway, assuming the PMF above, for this to be a valid PMF, we need the probabilities of all events to sum to 1:

$\displaystyle\sum_{x\in\{1,2,5\}}\mathbb P(X=x)=\dfrac c3+\dfrac c6+\dfrac c3=\dfrac{5c}6=1\implies c=\dfrac65$

Next,

$\mathbb P(X>2)=\mathbb P(X=5)=\dfrac c3=\dfrac25$

$\mathbb E(X)=\displaystyle\sum_{x\in\{1,2,5\}}x\,\mathbb P(X=x)=\dfrac c3+\dfrac{2c}6+\dfrac{5c}3=\dfrac{7c}3=\dfrac{14}5$

$\mathbb V(X)=\mathbb E\bigg((X-\mathbb E(X))^2\bigg)=\mathbb E(X^2)-\mathbb E(X)^2$
$\mathbb E(X^2)=\displaystyle\sum_{x\in\{1,2,5\}}x^2\,\mathbb P(X=x)=\dfrac c3+\dfrac{4c}6+\dfrac{25c}3=\dfrac{28c}3=\dfrac{56}5$
$\implies\mathbb V(X)=\dfrac{56}5-\left(\dfrac{14}5\right)^2=\dfrac{84}{25}$

If $Y=X^2+1$ , then $X^2=Y-1\implies X=\sqrt{Y-1}$ , where we take the positive root because we know $X$ can only take on positive values, namely 1, 2, and 5. Correspondingly, we know that $Y$ can take on the values $1^2+1=2$ , $2^2+1=5$ , and $5^2+1=26$ . At these values of $Y$ , we would have the same probability as we did for the respective value of $X$ . That is,

$\mathbb P(Y=y)=\begin{cases}\dfrac c3&\text{for }y=2\\\\\dfrac c6&\text{for }y=5\\\\\dfrac c3&\text{for }y=26\\\\0&\text{otherwise}\end{cases}$

Part (5) is incomplete, so I'll stop here.

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3 years ago

It cost Evan $17.70 to send 177 text messages. How many text messages did he send if he spent $19.10

Leviafan [203]

Answer:

191

Step-by-step explanation:

17.70---- 177

19.10-----191

First just take 177/17.70= 10

all you have to do is multiply by 10

19.10= 191

3 0

2 years ago

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You can buy a box of 150 sharpie pens for $165 or a dozen for $13.50

Setler [38]

Answer: do the a dozen for $13.50

Step-by-step explanation: It will help save money

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2 years ago

What is bigger grams or milligrams?

AysviL [449]

A gram, because a milligram is one thousandth of a gram.

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