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nika2105 [10]
3 years ago
11

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
4 0

Answer: The answer is 9.

Step-by-step explanation:

Since f(n+1) = f(n)

If n= 1

f(2) = f(1)

if n= 2

f(3) = f(2) = 9 {since f(3) is 9}

Since f(2) is now 9 and f(2) = f(1), therefore f(1) will also be 9.

No answer!

Svetach [21]3 years ago
4 0
A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ? A) 1
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In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st
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Answer:

a) 0.857

b) 0.571

c) 1

Step-by-step explanation:

Based on the data given, we have

  • 18 juniors
  • 10 seniors
  • 6 female seniors
  • 10-6 = 4 male seniors
  • 12 junior males
  • 18-12 = 6 junior female
  • 6+6 = 12 female
  • 4+12 = 16 male
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The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have

  • P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
  • P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
  • P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1

Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.

3 0
3 years ago
Isabella and Tanner are running in a 100-mile relay race. First, Isabella runs for 2 hours and hands off to Tanner, who bicycles
Murljashka [212]

Answer:

5 miles per hour and 15 miles per hour.

Step-by-step explanation:

Given:

Isabella and Tanner are running in a 100-mile relay race.

First, Isabella runs for 2 hours and hands off to Tanner, who bicycles for 6 hours to the finish line.

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed.

Question asked:

what are their speed ?

Solution:

Let average running speed of Isabella = x

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed means,

Tanner's average cycling speed = 4x-5

Now, Distance = speed\times time

As we know that the total distance is 100 mile which is covered by both together,

Distance traveled by Isabella + Distance traveled by Tanner = 100

x\times2 + (4x-5)\times6 = 100\\2x +24x-30=100\\26x-30 =100

Adding both sides by 30

26x =1 30\\

Dividing both sides by 26

x=5

Isabella's average running speed x=5 \ miles \ per \ hour

Tanner's average cycling speed = 4x-5 =4\times5-5 =20 -5 = 15 \ miles\ per \ hour

Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.

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