The correct answer is B.)
Answer:
C.
Step-by-step explanation:
Science questions are T/F. That's .5 or
chance to get it right.
7 questions. Each with a
.
That's
=
= .0078 = .008 rounded
English questions are multiple choice. 4 choices. That's .25 or 
3 questions. Each 
That's 
=
= .0156 = .016 rounded
Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is

We can figure this out using the explicit formula.

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.
f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n
Now, we can input 214 for n and solve.
f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646
The 214th term in this sequence is 646.
1.2 is the slope of the line graphed in the given diagram
<u>Step-by-step explanation:</u>
We can use the given points (0, 3) and (-2.5, 0) to solve.
Slope formula is given by

Given two intercepts:

By substituting these in the slope equation, we get
