PLEASE HELPPPP 10 points for its!!!!!!!!!!

True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events

alukav5142 [94]

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be $\frac{4}{52}$

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. Thus, the answer to this question is TRUE

4 0

3 years ago

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30 POINTS

Goshia [24]

Answer:

A)

Decay

B)

Initial value is 5.

C)

The decay factor is 0.75.

D)

75%

Step-by-step explanation:

An exponential function is given by:

$f(x)=a(r)^x$

Where a is the initial value and r is the rate.

We have the function:

$y=5(1/4)^x$

So, a = 5 and r = 1/4.

A)

Remember the guidelines:

It is exponential growth if r > 1.
And it is exponential decay if r < 1. (And r must be positive.)

Our rate is 1/4 or 0.25.

It is less than 1, so our function is exponential decay.

B)

The initial value is the value in front of our rate.

So, our initial value in this case is 5.

C)

The decay factor will be 1 - r, where r is our rate.

Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.

So, we are decaying by a factor of 0.75.

D)

To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.

So, 0.75 will be 75.0 % or smply 75%.

It is a 75% decay.

7 0

3 years ago

What does is x equal too?

sattari [20]

Answer:

35

i dont know what it wants me to write here the answer is 35

7 0

3 years ago

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He Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____.

CaHeK987 [17]

According to the angle-sum theorem, the sum of the measures of the angles of an n-gon is expressed in the formula B. (n – 2)*180. This is verified in a simplt triangle, in which the total sum of the angles inside is 180 with n of the polygon equal to 3. Hence, (3-2)*180 equal to 180 degrees.

6 0

3 years ago

Someone help pleaseeee

Sloan [31]

Answer:

y = 3 for 0 <= x < 4

y = 5 for 4 <= x < 8

y = 7 for 8 <= x < 12

y = 9 for 12 <= x < 16

y = 11 for 16 <= x < 20

x represents the number of years of employment.

for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.

your graph stops at x = 16 because that's the number of years being considered.

at x = 16, the wage will be 11 dollars.

the closed circle indicates the value of y is valid at that value of x.

an open circle indicates the value of y is not valid at that value of x.

for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.

on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.

at employment (x = 0), the employee starts earning a wage of 3 dollars.

at 4 years (x = 4), the employee starts earning a wage of 5 dollars.

at 8 years (x = 8), the employee starts earning a wage of 7 dollars.

at 12 years (x = 12), the employee starts earning a wage of 9 dollars.

at 16 years (x = 16), the employee starts earning a wage of 11 dollars.

x represents a full year of employment.

y represents the wage the employee is entitled to earn.

8 0

3 years ago