answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Murrr4er [49]
2 years ago
11

Suppose S is a recursively defined set, defined by the number 1 is in S if n is in S, then so is 3n+2 - if n is in S, then so is

5n-1 if n is in S, then so is n+7 Suppose you want to prove using structural induction that all members of S have a certain property. What do you have to prove in the base step? That the numbers 5,4 and 8 have the property. That the number 1 has the property, and the numbers 5, 4 and 8. O That the numbers 5, 4 and 8 are in the set S. That the number 1 has this property.
Mathematics
1 answer:
jolli1 [7]2 years ago
8 0

Answer:

That the number 1 has this property.

Step-by-step explanation:

For base step we have to prove that number 1 has the property.

so therefore the smallest number of S is 1.

So that the number 1 has this property.

You might be interested in
A student ran the 50 yard dash in 5.8 seconds at what speed did the student run in miles per hour round to the nearest 10th
Otrada [13]
The answer is 17.6 miles per hour 
8 0
2 years ago
Read 2 more answers
salina is one-quarter of her aunts age if a represents her aunts age which expression represents her age
katovenus [111]

Answer:

<em>s</em> = .25<em>a</em>

Step-by-step explanation:

if <em>s</em> is Salina's age, and we know that she is 1/4 (.25) her aunt's age, then ONE QUARTER (.25) times AUNT'S AGE (<em>a</em>) = SALINA'S AGE (<em>s</em>)

7 0
2 years ago
A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The runnin
patriot [66]

Answer:

Option B is correct.

Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Step-by-step Explanation:

The clear, complete table For this question is presented in the attached image to this solution.

It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.

In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.

The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.

Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.

Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.

Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Hope this Helps!!!

7 0
2 years ago
Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,
Molodets [167]
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56

0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11

Therefore, the speed of the current is 3 miles per hour.

3 0
2 years ago
Read 2 more answers
Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest
olga55 [171]

Answer:

  • <em><u>$869,776</u></em>

Explanation:

<u>1. Mortgage table</u>

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

<u>2. Amount borrowed</u>

You will make a 22% down payment:

        22\%\times \$ 426,000=\$ 93,720

Thus the amount borrowed is $426,000 - $93,720 = $332,280

<u>3. Monthly payment</u>

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

      \$ 6.74\times 322,280/1,000=\$ 2,239.57

<u />

<u>4. Total monthly payments:</u>

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

        \$ 2,239.57\times 240=\$ 537,496.13

<u>5. Total payment for the home.</u>

The total payment for the home will be the down payment plus the amount paid to the bank:

  • $322,280 + $537,496 = $869,776

6 0
2 years ago
Read 2 more answers
Other questions:
  • The probability that Evan purchases a comic book from the bookstore (event A) is 0.67, and the probability that Glen purchases a
    7·2 answers
  • Calculate the loss on selling 50 shares of stock originally bought at 13 and 3/4 and sold at 12
    8·1 answer
  • Arthur is conducting a study on the preferred study options of students from East County College. He randomly selected 32 studen
    9·1 answer
  • The function f(x) = –x2 – 4x + 5 is shown on the graph.
    8·2 answers
  • Evaluate the numerical expression. −8.1 – 3.5 ÷ (−0.5)
    12·1 answer
  • What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)
    8·1 answer
  • The length of life of an instrument produced by a machine has a normal ditribution with a mean of 12 months and standard deviati
    12·1 answer
  • Using a little bit of algebra, prove that (4.2) is equivalent to (4.3). In other words, the logistic function representation and
    15·1 answer
  • An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS,
    12·1 answer
  • Ivan and kate live 42 miles apart. ivan leaves his house at 8:00 a.m. and bikes towards kate's house at a constant speed of 12 m
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!