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3 years ago

Determine the y intercept (8th grade)

Mathematics

1 answer:

Tatiana [17]3 years ago

3 0

Step-by-step explanation:

hey to your previous question about the slope the answer was 1 over 2

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I will give you brianly look i want to know a+b=??

mr Goodwill [35]

Answer:

Step-by-step explanation:

7 0

3 years ago

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What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success p? C

charle [14.2K]

Answer:

$(D)E[ X ] =np.$

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success p,

$f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq x\leq n$

$E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}$

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

$E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}$

Now,

$x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)$

Substituting,

$E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}$

Factoring out the n and one p from the above expression:

$E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}$

Representing k=x-1 in the above gives us:

$E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}$

This can then be written by the Binomial Formula as:

$E[ X ] = (np) (p +(1 - p))^{n -1 }= np.$

5 0

3 years ago

The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is c

Bumek [7]

<h3>Answer:</h3>

$\large\boxed{C).\,13.5\%}$

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

Probability of it being cloudy is 30%
Probability of it raining is 25% (this is necessarily not needed)
If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

$0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}$

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

6 0

3 years ago

6x/11+2= -2<br><br> what is x?<br> pls hurry I need help<br> Do NOT convert to a decimal

UNO [17]

X both sides by 11
=6x+2=-22
-2 from both sides
=6x=-24
both sides /6
=x=-3

4 0

3 years ago

Please help me!!!! I have been stuck on this question for like a half an hour now.

Grace [21]

3x^2+21x+6=3(3x^2+7x+2)=3(3x^2+6x+x+2)=3[3x(x+2)+(x+2)]=3(3x+1)(x+2)

5 0

3 years ago

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