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3 years ago

Find the sum of the measures of the angles in the polygon.

Mathematics

1 answer:

yan [13]3 years ago

4 0

It's an octagon.

The sum of the measures of the angles in the polygon with n sides:

S = 180°(n - 2)

n = 8

S = 180°(8 - 2) = 180° · 6 = 1080°

Answer: 1080°

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Kendra is thinking of an integer greater than negative 3 2/5 and less then -2.7.which of the following numbers could Kendra be t

meriva

Hello,

- 3&2/5=-17/5=-3.4

==>-3.4<n<-2.7
==>n=-3 (if -3 is an integer)

7 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

10. If pointer 1 is spun and then pointer 2 is spun, determine the probability of landing on a color other than red on both spin

Brilliant_brown [7]

Answer:

Answer below

Step-by-step explanation:

1/8 is correct

in pic

_________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

5 0

2 years ago

Kevin’s family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a

kvv77 [185]

Answer:D) 0.6375

Step-by-step explanation:

See, the probability that Kevin would inherit diabetes is 0.75

The accuracy of this test is 0.85

See as there is 85% chance of that the test will make right prediction so 85% of 0.75 is that probability that Kevin has diabetes and test will predict it correctly.

85% of 0.75 is 0.75*0.85

= 0.6375

Hope it helps!!!

5 0

3 years ago

Read 2 more answers

Solve: 1.2n+1=1-n<br> HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT

ahrayia [7]

Answer:

n = 0

Step-by-step explanation:

1.2n + 1 = 1 - n

Add n and - 1 on both sides.

1.2n + n = 1 - 1

Combine like terms.

2.2n = 0

Divide both sides by 2.2.

n = 0

5 0

2 years ago