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3 years ago

I need help with these 3 questions ASAP. please give me a step by step explanation.

Mathematics

2 answers:

SOVA2 [1]3 years ago

8 0

For number 2. The pilot flew 4 circuits and in total by the 5th day he flew 14 right?

Alchen [17]3 years ago

4 0

Answer:

1) first term = 2

Step-by-step explanation:

1) n =14 ; d = 6 ; Sum = 574

Sum =n/2 * (2a + (n-1)d)

574 = 14/2 * (2a + (14-1) * 6)

574 = 7 * (2a + 13 * 6)

574 = 7 * (2a + 78)

574/ 7 = 2a + 78

82 = 2a + 78

82 - 78 = 2a

4 = 2a

a = 4/2

a =2

2) No.of circuits on first day = 14 - 12 = 2 circuits

Total by the end of fifth day = 2 + 5 +8 +11 +14 = 40

3) n = 20 ; a = 32768

r = term 2 / term 1 = 16384 / 32768 = 1/2

nth term = ar^(n-1)

20th term = 32768 * (1/2)^19

= 32768 * (1/ 524288)

= 32768 / 524288

= 1/16

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3 years ago

Thirteen people on a softball team show up for a game. a)How many ways are there to choose 10 players to take the field? b)How m

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a) 286

b) 1,037,836,800

c) 285

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a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

$C(13,10)=\frac{13!}{(13-10)!10! } \\C(13,10)=\frac{13*12*11*10!}{(3*2*1)10! }\\C(13,10) = 286$

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c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.

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3 years ago

Jenny peddled her bike 11 miles in 45 minutes. If she traveled at the same speed,how far would she travel in 225 minutes?

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Answer:

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Step-by-step explanation:

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speed = 11/45

speed = 0.2444 miles/min

for 225 min, speed is same

distance = speed * time

= 11/45 * 225

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3 years ago