Lein earned $25,650
Her husband earned $22,450
To answer this
problem, we use the binomial distribution formula for probability:
P (x) = [n!
/ (n-x)! x!] p^x q^(n-x)
Where,
n = the
total number of test questions = 10
<span>x = the
total number of test questions to pass = >6</span>
p =
probability of success = 0.5
q =
probability of failure = 0.5
Given the
formula, let us calculate for the probabilities that the student will get at
least 6 correct questions by guessing.
P (6) = [10!
/ (4)! 6!] (0.5)^6 0.5^(4) = 0.205078
P (7) = [10!
/ (3)! 7!] (0.5)^7 0.5^(3) = 0.117188
P (8) = [10!
/ (2)! 8!] (0.5)^8 0.5^(2) = 0.043945
P (9) = [10!
/ (1)! 9!] (0.5)^9 0.5^(1) = 0.009766
P (10) = [10!
/ (0)! 10!] (0.5)^10 0.5^(0) = 0.000977
Total
Probability = 0.376953 = 0.38 = 38%
<span>There is a
38% chance the student will pass.</span>
Given:
The cost of each carnival ticket is $5.
To find:
The equation, table of values and graph for the given problem.
Solution:
Let x be the number of tickets and y be the total money spent on tickets.
Cost of one ticket = $5
Cost of x tickets = $5x
So, total cost is

The required equation is
.
At x=1,


At x=2,


At x=3,


The required table of values is
x y
1 5
2 10
3 15
So, the required table of values is table A.
From the above table, it is clear that the graph passes through the point (1,5), (2,10) and (3,15). The graph B passes through these points.
So, the required graph is graph B.
Since the required answers are
, table A, graph B, therefore the correct option is B.
Answer:
yes
Step-by-step explanation: