Question

seca = \frac{t - h + b + s - c}{a}, where t is total bases, h is hits, b is bases from balls or walks, s is stolen bases, c is ... at bat.

player	t	h	b	s	c	a
murphy	183	110	17	2	3	315
ortiz	187	94	45	2	0	279
ramos	139	84	23	0	0	251

find each player’s seca. round to the nearest hundredth if necessary.

altuve □
murphy □
ortiz □
ramos □

Explanation:

Altuve

Step1: Substitute values into formula

For Altuve, \( T = 186 \), \( H = 116 \), \( B = 39 \), \( S = 22 \), \( C = 3 \), \( A = 330 \).
Substitute into \( \text{SecA} = \frac{T - H + B + S - C}{A} \):
\( \frac{186 - 116 + 39 + 22 - 3}{330} \)

Step2: Calculate numerator

\( 186 - 116 = 70 \); \( 70 + 39 = 109 \); \( 109 + 22 = 131 \); \( 131 - 3 = 128 \).
Numerator: \( 128 \)

Step3: Divide by A

\( \frac{128}{330} \approx 0.3879 \approx 0.39 \) (rounded to nearest hundredth)

Murphy

Step1: Substitute values into formula

For Murphy, \( T = 183 \), \( H = 110 \), \( B = 17 \), \( S = 2 \), \( C = 3 \), \( A = 315 \).
Substitute into \( \text{SecA} = \frac{T - H + B + S - C}{A} \):
\( \frac{183 - 110 + 17 + 2 - 3}{315} \)

Step2: Calculate numerator

\( 183 - 110 = 73 \); \( 73 + 17 = 90 \); \( 90 + 2 = 92 \); \( 92 - 3 = 89 \).
Numerator: \( 89 \)

Step3: Divide by A

\( \frac{89}{315} \approx 0.2825 \approx 0.28 \) (rounded to nearest hundredth)

Ortiz

Step1: Substitute values into formula

For Ortiz, \( T = 187 \), \( H = 94 \), \( B = 45 \), \( S = 2 \), \( C = 0 \), \( A = 279 \).
Substitute into \( \text{SecA} = \frac{T - H + B + S - C}{A} \):
\( \frac{187 - 94 + 45 + 2 - 0}{279} \)

Step2: Calculate numerator

\( 187 - 94 = 93 \); \( 93 + 45 = 138 \); \( 138 + 2 = 140 \); \( 140 - 0 = 140 \).
Numerator: \( 140 \)

Step3: Divide by A

\( \frac{140}{279} \approx 0.5018 \approx 0.50 \) (rounded to nearest hundredth)

Ramos

Answer:

Altuve: \( 0.39 \)
Murphy: \( 0.28 \)
Ortiz: \( 0.50 \)
Ramos: \( 0.31 \)