1answer.
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
Sonbull [250]
3 years ago
14

Refer to the sequence 11, 16, 21, 26, 31, 36. Explain why the terms in the sequence will continue to alternate between even and

odd numbers
Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Explanation:

The common difference of this arithmetic sequence is 5. Adding 5 to an even number gives an odd number, and vice versa. Hence the "parity" of the terms in the sequence must alternate between odd and even.

You might be interested in
Mr. Bond’s class wanted to estimate the mean mass of Snickers Fun Size bars. They randomly selected 74 bars and recorded the mas
AleksAgata [21]

Step 1: Find the standard error (SE)

The standard error is given by

SE=\frac{s}{\sqrt[]{n}}\begin{gathered} \text{ Where } \\ SE=\text{ the standard error} \\ s=\text{ the sample standard deviation} \\ n=\text{ the sample size} \end{gathered}

In this case,

n=74,s=0.76

Therefore,

SE=\frac{0.76}{\sqrt[]{74}}\approx0.0883

Step 2: Find the alpha level (α)

\alpha=1-\frac{(\text{Confidence level})}{100}\alpha=1-0.99=0.01

Step 3: Find the critical probability (P*)

P^{\prime}=1-\frac{\alpha}{2}

Therefore,

P^{\cdot}=1-\frac{0.01}{2}=0.995

Step 4: Find the critical value (CV)

The critical value the z-score having a cumulative probability equal to the critical probability (P*).

Using the cumulative z-score table we will find the z-score with value of 0.995

Hence,

CV=2.576

Step 5: Find the margin of error (ME)

ME=SE\times CV

Therefore,

ME=0.0883\times2.576=0.2275

Step 6: Find the confidence interval (CI)

\begin{gathered} CI\text{ is given by} \\ CI=(\bar{x}-ME,\bar{x}+ME) \\ \text{ In this case} \\ \bar{x}=17.1 \end{gathered}

Therefore,

CI=(17.1-0.2275,17.1+0.2275)=(16.8725,17.3275)

Hence there is a 99% probability that the true mean will lie in the confidence interval

(16.8725, 17.3275)

4 0
1 year ago
Describe the rule of continuing this sequence 44, 41, 38, 35, 32
Citrus2011 [14]

Answer:

aₙ= 47 -3n

Step-by-step explanation:

44, 41, 38, 35, 32

This is AP with 1st term of 44 and common difference of -3

nth term of this AP:

  • aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3n
  • aₙ= 47 -3n
4 0
3 years ago
Evaluate Y - R for R= -2 and Y= -7
Semmy [17]

Answer:

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from neg to pos

8 0
3 years ago
You can buy 2 dvds for the same price a you would pay for 3 cds selling for $13.20 apiece. explain how you could find the price
morpeh [17]
2 dvds = 3cds($13.20 a piece)
2dvds = 39.60
2x = 39.60    Divide by 2 on both sides
x = 19.80 (the price of one dvd)

 
7 0
3 years ago
Solve for t. You must write your answer in fully simplified form. <br><br> −19=7t
nikitadnepr [17]

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

7 0
3 years ago
Read 2 more answers
Other questions:
  • A car purchased for $34,000 is expected to lose value, or depreciate, at a rate of 6% per year. Using x for years and y for the
    10·1 answer
  • Multiples of 20,25 and 40
    9·1 answer
  • Please solve this hsjsf
    13·2 answers
  • Solve for x in terms of a,b, and c: ax - 3b =c. . 1: a(c+3b). 2: a (c-3b). 3: c-3/a. 4: c+3b/a
    7·1 answer
  • Explain why thirteen
    8·2 answers
  • The exponential function f(x)=100(0.7)^x models Exponential (Growth/Decay) and the rate of (Growth/Decay) is (7%/30%/70%/130%).
    5·1 answer
  • Find the area of this shape. The area of this shape is _______ square centimeters.
    5·2 answers
  • 8th math , plwase help
    8·1 answer
  • Your gas tank can hold no more than 14.5 gallons of gasoline On atrip to the grocery store ,you use 1.5 gallons of gas. Write an
    13·1 answer
  • Solve for x.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!