Joseph and Mark have $230. Joseph and Kevin have $130. Mark had 3 times as much money as Kelvin. How much money does Kelvin have?

Step-by-step explanation:

Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is

J + M = 230. The second equation is

J + K = 130. The third equation is

M = 3K. Sub that 3K into the first equation and get

J + 3K = 230. Now take th second equation and solve it for J:

J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:

130 - K + 3K = 230 and

2K = 100 so

K = 50

Kevin has $50

[a]. check attachment.

[b]. It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.

Step-by-step explanation:

Without mincing words let's dive straight into the solution to the question above.

[a]. The drawing showing the histogram of bacterial endotoxin levels is given in the attached picture.

KINDLY NOTE: The data is right-skewed.

[b].  ALLERGIC             MEAN        SE MEAN         STDEV           N

      FALSE                     1510             251                  1789            251

        TRUE                    530              109                 343               10

False - true = difference in a.

Hence, 80 = estimated difference.

For the difference, 95% CI = (434, 1527).

DF = 58, P-value = 0.001, and the T value = 3.59.

Therefore, It can not be said that the difference is ascribed to chance as P-value = 0.001 which is less than <<0.05. That is  P-value = 0.001 <<0.05.