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3 years ago

What is 3/7 divided by 33?

Mathematics

1 answer:

myrzilka [38]3 years ago

5 0

Answer:

3/231 can be simplified to 1/77.

Step-by-step explanation:

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Solve. Show all your steps. <br> 1/8x=1/2

Llana [10]

x = 4Rearrange:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/8*x-(1/2)=0
Step by step solution :Step 1 : 1 Simplify — 2Equation at the end of step 1 : 1 1 (— • x) - — = 0 8 2Step 2 : 1 Simplify — 8Equation at the end of step 2 : 1 1 (— • x) - — = 0 8 2Step 3 :Calculating the Least Common Multiple : 3.1 Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 2
the answer is 4

7 0

3 years ago

Read 2 more answers

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

What is the point-slope form of a line with slope 3 that contains the point (2,1)?

Serjik [45]

Answer:

A) $y-1=3(x-2)$

Step-by-step explanation:

Point-slope formula.

$y-y_1=m(x-x_1)$

Given.

Slope (m) = 3

Points (x, y) = (2, 1)

8 0

3 years ago

How many pieces would it take to make 2 1/3

DENIUS [597]

It would take 3 pieces to make 2 1/3 because 2 and 1/3 is more than just 2 alone which would take another piece to get it to 2 1/3

5 0

3 years ago

What is the area of the figure?

masya89 [10]

Step-by-step explanation:

∆=3*6=18

[]=5*15=75

75+18=93 in squared

3 0

3 years ago