Choose the correcr definition of (n k) from below

A) what is the probability that the first contestant is a boy?

tamaranim1 [39]

Probabilities are used to determine the chances of an event.

The probability that the first contestant is a boy is 1/2
The probability that the second contestant is a boy, if the first is a boy is 9/19
The probabilities are not independent

The given parameters are:

$\mathbf{Contestants= 20}$

$\mathbf{Girls= 10}$

$\mathbf{Boys = 10}$

(a) Probability that first contestant is a boy

This is calculated as:

$\mathbf{P(Boy) = \frac{Boys}{Contestants}}$

This gives

$\mathbf{P(Boy) = \frac{10}{20}}$

$\mathbf{P(Boy) = \frac{1}{2}}$

(b) Probability that the second contestant is a boy, if the first is a boy

This is calculated as:

$\mathbf{P(Boy) = \frac{Boys - 1}{Contestants - 1}}$

We subtracted 1, because the first contestant (a boy) is no longer part of the selection.

So, we have:

$\mathbf{P(Boy) = \frac{10-1}{20-1}}$

$\mathbf{P(Boy) = \frac{9}{19}}$

(c) Independent probabilities

The probabilities are not independent, because when a contestant is selected, the number of contestant is reduced by 1.

And this will affect the probability of the next selection.

Read more about probabilities at:

brainly.com/question/11234923

7 0

2 years ago

Help me please and thank you

ch4aika [34]

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

3 0

2 years ago

Read 2 more answers

A video game sets the points needed to reach the next level based on the function g(x) = 7(3)^(x − 1), where x is the current le

AleksandrR [38]

Good morning.

In level 4, the experience needed is:

$\mathsf{g(4) = 7\cdot3^{4-1}}\\ \\ \mathsf{g(4) = 7\cdot3^3 = 7\cdot27}\\ \\ \mathsf{g(4) = 189}$

In the hardest settings, the multiplier is:

$\mathsf{h(4) = 4\cdot 4}\\ \\ \mathsf{h(4) = 16}$

So, the adjusted experience points are: multiplier . base experience

$\mathsf{E(x) = h(x)g(x)}\\ \\ \mathsf{E(4) = h(4)g(4) = 16\cdot 189}\\ \\ \boxed{\mathsf{E(4) = 3024 \ points}}$

7 0

3 years ago

The double number line shows the amount of time a hen needs to lay 1 egg.

DaniilM [7]

Answer:

3

Step-by-step explanation:

2+1=3

3 0

2 years ago

Write the following as an inequality.

Ilia_Sergeevich [38]

Answer:

-2 < w ≤ 6

Step-by-step explanation:

The inequalities you're asked to combine are ...

-2 < w

6 ≥ w

Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...

-2 < w

w ≤ 6

You combine these by putting w in the middle:

-2 < w ≤ 6

_____

Alternate solution

I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...

6 ≥ w > -2

6 0

2 years ago