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3 years ago

Consider the function f(x)=|-x-3/2|-1

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer:

x1(1 is on the bottom)= -5/2 (fraction), x2(2 on the bottom)=-1/2 (fraction)

Step-by-step explanation:

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For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago

A cup of milk has 8 grams of protein. How much protein is in 2.5 cups of milk

iogann1982 [59]

1 cup of milk = 8 g proteins
2.5 cups of milk = 2.5 * proteins present in 1 cup of milk
= 2.5 * 8
= 20 g

20 grams of proteins is present in 2.5 cups of milk.

8 0

4 years ago

Please tell whether the order pair is a solution to the equation , please help me with #12 and show work

Contact [7]

Y=x-3 (1,-4)

-4=1-3
-4≠-2

that ordered pair is not a solution

6 0

3 years ago

Read 2 more answers

2<br> (-10)<br> -3<br> (2-1)<br> -1-

forsale [732]

Answer:

-24

Step-by-step explanation:

hope this was helpful have a good day! <3

7 0

3 years ago

If a triangle has angles measuring 15 degrees and 45 degrees what is the measure of the triangle's third angle?

enot [183]

Answer:

120 degrees

Step-by-step explanation:

Remember that the interior angles of a triangle always add up to 180 degrees. We know that two of the angles (45 and 15) add up to 60 degrees. Now we just have to subtract the 60 degrees we have from the 180 degree total in order to get the measure of the missing angle.

180 - 60 = 120

Therefore... the answer is 120 degrees

3 0

3 years ago