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2 years ago

An angle measures 4 pi/5 radians. What is this angle's measure, in degrees

Mathematics

1 answer:

raketka [301]2 years ago

4 0

Answer: 144 degrees

Step-by-step explanation:

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What is the period of the graph of y=2 cos (pie/3 x ) +3 A.2 B.3/pie C.6 D.pie/3

Tatiana [17]

Equate what is inside cosine with $2\pi$ , base period and solve for x,

$2\pi=\frac{\pi}{3}x$

$6\pi=\pi x$

$\boxed{x=6}$

Hope this helps :)

6 0

2 years ago

Is the proportion A, B, D, or D?

Oksanka [162]

Answer:

C.)

Step-by-step explanation:

4/20=8/x

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

Type the integer that makes the following addition sentence true: -3 + = -11

konstantin123 [22]

An integer that would work is 14 so -3 + 14 = -11

3 0

3 years ago

Read 2 more answers

What is the quantity 0.0075 meters expressed in centimeters? 0.075 cm 0.75 cm 7.5 cm 70.5 cm?

Alex787 [66]

0.75 because 100cm = 1m so you just move the decimal to the right by 2

5 0