22. A rectangular container, whose base is a square

A baseball team has 15 field players and 10 pitchers. Each field player can take any of the 8 non-pitching positions. What is th

leonid [27]

Answer:

If order matters: 2,594,592,000 ways.

If order does not matter: 64,350 ways

Step-by-step explanation:

Assuming that the order matters when picking the non-pitching positions (since they are different positions), the number of possible different starting lineups is given by the permutation of picking 8 players out of 15, multiplied by 10 (pick one out of 10 pitchers):

$n =10*\frac{15!}{(15-8)!}\\ n=10*15*14*13*12*11*10*9*8\\n=2,594,592,000$

Now if the order of the field players is not important, the number of possible starting lineups is given by the combination of picking 8 players out 15, multiplied by 10:

$n = n =10*\frac{15!}{(15-8)!8!}\\ n=\frac{10*15*14*13*12*11*10*9*8}{8*7*6*5*4*3*2} \\n=64,350$

Therefore, the number of ways to pick the starting lineup is:

If order matters: 2,594,592,000 ways.

If order does not matter: 64,350 ways

7 0

3 years ago

0.2(x+50)-6=0.4(3x+20)

podryga [215]

Distrivute 0.2 to x and +50 and you get 0.2x+10-6 now for the other side we do the same and we get 1.2x+8 or an easier way... Let's solve your equation step-by-step.0.2(x+50)−6=0.4(3x+20)Step 1: Simplify both sides of the equation.0.2x+4=1.2x+8Step 2: Subtract 1.2x from both sides.0.2x+4−1.2x=1.2x+8−1.2x−x+4=8Step 3: Subtract 4 from both sides.−x+4−4=8−4 −x=4 now you divide by negative x (technically it is -1x=4 so your answer is x=-4

3 0

3 years ago

Pls and thanks help me

PIT_PIT [208]

She spent 200 minutes

6 0

2 years ago

Evaluate the expression when p= -24 and q = 4.

Talja [164]

$(2 \times - 24) \div - 4$
which comes out as 12

3 0

3 years ago

In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.

const2013 [10]

Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

C^2 = 42.25

C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

7 0

2 years ago