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2 years ago

IM just a little bit slow

Mathematics

2 answers:

viva [34]2 years ago

5 0

Answer:

71°

Step-by-step explanation:

31-3x+19x-5=90

16x=90-26

16x=64

x=4

m<R=19x-5 = 19(4)-5 = 76-5 = 71

FromTheMoon [43]2 years ago

5 0

Answer:

x = 4

∠R = 71°

Step-by-step explanation:

<u>COMPLEMENTARY ANGLES:</u> TWO ANGLES WITH A SUM OF 90°.

$31 - 3x + 19x - 5 = 90$

To make this problem easier to solve, we can combine like terms.

$26 + 16x = 90.$

Now, we can proceed.

First, subtract 26 from 26 and 90.

$26 - 26 = 0.$ (cancels itself out).

$90 - 26 = 64.\\$

Now, we are left with 16x = 64.

Lastly, we divide the number in front of the variable by the answer.

$64/16 = 4$

Therefore, the value of x is 4.

-------------------------------------------------------------------------------------------------------------

Now that we have the value of x, we can use this value to replace the variable (x).

$19x - 5$

$19 * 4 - 5 = 71.$

Therefore, the value of ∠R is 71°.

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Step-by-step explanation:

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Part a

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The expected value is given by this formula:

$E(X) = np=16*0.2=3.2$

Part b

For this case we want this probability:

$P(X=0)$

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$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And using this function we got:

$P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

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