What is the slope of the line passing through the points (5,7) (-4,2)

in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t

kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

$P( x,n,p) = n Cx * p^{x } * q^ {n-x}$

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

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

From the question we can identify that:

n is equal to 4 multiple choice question
p is 1/5 or 0.2, the probability of get one question correct
q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

$P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096$

The probability of get one question correct of 4 questions is:

$P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096$

The probability of get three questions correct of 4 questions is:

$P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256$

8 0

3 years ago

Have the conditions for inference been met?

alekssr [168]

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

5 0

3 years ago

If f(x)=2x-4, what would be the answer if f(3)-1??

Vinil7 [7]

Answer:

1

Step-by-step explanation:

We have the function

$f(x) = 2x - 4$

and we want to know the value of $f(3) - 1$ .

The first step is to find $f(3)$ ; we can subtract 1 from it at the end! But what does $f(3)$ mean?

Basically, we're saying "what is the value of the function when $x = 3$ ?"

So, we simply replace $x$ with 3 in the function, and we get:

$f(3) = 2\times 3 - 4 = 2$ .

Finally, we subtract 1 to find $f(3) - 1 = 1$ .

3 0

3 years ago

A busy customer service agent handled 20 emails in

nignag [31]

20 mails in 1/4 day (0.25 day)

-> 1 day = 20/0.25 = 80 emails

4 0

3 years ago

Divide 33 photos into two groups so the ratio is 4 to 7

Artist 52 [7]

33 photos in a 4x to 7x ratio

4x + 7x = 33
11x = 33
x = 3

33 photos can be put in a 4(3) to 7(3) ratio

which is a 12 to 21 ratio

so 12 photos on one side, and 21 on the other side to get the ratio of 4 to 7

Note:
a(b) = ab = a x b = a times b

5 0

3 years ago