Answer:
0.8914
Step-by-step explanation:
You want to find the z-values associated with the x-values:
z = (x -μ)/σ
z1 = (57 -90)/12 = -2.75
z2 = (105 -90)/12 = 1.25
Look up these values in a probability table and find the difference of the table values.
p(z < z1) ≈ 0.00298 . . . . from a table or calculator
p(z < z2) ≈ 0.89435 . . . . from a table or calculator
p(57 < x < 105) ≈ 0.89435 -0.00298 = 0.89137 ≈ 0.8914
3 square root of 6*7 - 4 square root of 6*4
Or if it is wrong what are the choices?
Base * height, then divide that answer by 2. Makes sense when you figure that two triangles can form a square or rectangle.
Given:
Entrance fee = $5.50
Additional fee = $1.25 for each activity.
Total amount spend at fair = $30
To find:
The equation that represents the problem.
Solution:
Let the number of activities be 
.
Additional fee for 1 activity = 
Additional fee for x activity = 
Total fee = Entrance fee + Additional fee for x activity
= 
It is given that Kevin has at most $30 to spend at the fair. So, total fee must be equal to $30.
Therefore, the require equation is .
Note: The inequality for the given problem is 
.
Since y varies directly with x, we know that a multiplier of k will be multiplied by x.
y = kx
In order to use this equation we need to know the value of k. That is why they gave us known values of x & y.
"when y = –51, x = 3"
Plug these values into our equation and solve for k.
–51 = k(3)
–51/3 = k Divide both sides by 3
k = –17 Simplify
Now that we know k our equation from here on is:
y = –17x
Now we can use this equation to solve y if x = 2 by plugging in 2 for x.
y = –17(2)
y = –34 FINAL ANSWER
