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2 years ago

A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Mathematics

2 answers:

yan [13]2 years ago

4 0

Answer:

f(5)=10 so 10 is your answer.

Step-by-step explanation:

I just did it on ed. ;)

masya89 [10]2 years ago

3 0

It will be easier if we wrote some terms to help us predict the nature of the sequence
f(1)=18,f(2)=18-2=16,f(3)=16-2=14,f(4)=14-2=12f(5)=10
so the nth term will be in the form
f(n)=18-2(n-1)

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2 years ago

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3 years ago

Suppose taxi fare from Logan Airport to downtown Boston is known to be normally distributed with a standard deviation of $2.50.

Mariulka [41]

Answer:

95% Confidence interval for taxi fare: ($20.5,$24.2)

Step-by-step explanation:

We are given the following data set: for fares:

$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{156.5}{7} = 22.35$

95% Confidence interval:

$\bar{x} \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$22.35 \pm 1.96(\frac{2.5}{\sqrt{7}} ) = 22.35 \pm 1.85 = (20.5,24.2)$

6 0

2 years ago

A regulation baseball field measures 90 feet between each base. What is the distance around the bases in yards?

Naddika [18.5K]

Home to 1st base = 90 ft
1st base to 2nd base = 90 ft
2nd base to 3rd base = 90 ft
3rd base to home = 90 ft
so we have a total of : (90 * 4) = 360 ft

there are 3 ft in 1 yd....
so in 360 ft, there are : 360/3 = 120 yds <==

or u could just figure it between each base....90 ft = (90/3) = 30 yds per base...and u have 4 bases....so that (4 * 30) = 120 yds

4 0

3 years ago

Choose all options that apply. Which of the following are equal to 20%? | a) .25 b) 1/5 Oc) 1/10 d) .20

zloy xaker [14]

Answer:

b. and d.

Step-by-step explanation:

$20 = \frac{20}{100} \\ 0.25 = \frac{25}{100} \\ \frac{1}{5} = \frac{20}{100} \\ \frac{1}{10} = \frac{10}{100} \\ 0.20 = \frac{20}{100}$

4 0

2 years ago