Acompetitive cheer team allows only the top 4% of athletes who try out to be part of the team. if the team tryout scorecard has a mean of 200 and a standard deviation of 10, which of the following can be used as a minimum qualifying score to join the cheer team?

a.) 8
b.) 192
c.) 217
d.) 202

C.) 217

Step-by-step explanation:

If the top 4% of athletes are allowed to be part of the team, then the bottom  will not qualify.

We look for a z-score below which of the population lie.

Reading from the z-table as shown in the attachment, this z-value corresponds to .

We now use the z-score formula to find the required minimum qualifying score.

where

We substitute and solve for x.

The correct choice is C

is it 35

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3