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3 years ago

Natalia has 48 tiles. Write a factor pair for the number 48

Mathematics

1 answer:

Bumek [7]3 years ago

4 0

6x8=48 because if you look or know your multiplaction tables well then youll know that 6x8=48

You might be interested in

1. Look at the table.

Bezzdna [24]

Answer:

Step-by-step explanation:

On the X side they add 2 every time to reach the next number needed. For example if it was to keep going the nect x would be 13

4 0

3 years ago

Use the distributive property to write the following expression WITH parentheses:<br><br> 6x+18

Free_Kalibri [48]

Answer:

6(x+3)

Step-by-step explanation:

6x+18

6*x + 3*6

Factor out a 6

6(x+3)

3 0

3 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.

8 0

3 years ago

Help plz helpppppppppppp plzzzzzzzzz

zzz [600]

it's 5 days, if you need an explanation feel free

5 0

3 years ago

Read 2 more answers

Some body knows how to form a subset?

kipiarov [429]

Answer:

Subset is part of set which is obtained from Universal set.

Step-by-step explanation:

Like for example :-

A - ( 1,2,3,4,5,6,7,8)

And B - ( 1,2 , 3)

So we can say B is subset of A.

5 0

4 years ago