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
leonid [27]
3 years ago
15

Given the sequence 7, 12, 17, 22, ...

Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

Computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5

The difference between all the adjacent terms is the same

so

d=5

as

a_1=7

Thus, the nth term of the arithmetic sequence will be:

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, option D is true.

You might be interested in
The vector (-3/5) translates a to b What is the vector that translate b to a?
shtirl [24]
3/5 in the positive form
5 0
3 years ago
Fraction and whole- Number Multiplication. 3/5 × 5​
choli [55]

Answer:

5

Step-by-step explanation:

3/5 × 5

Divide through by 5

And you're left with 5

6 0
3 years ago
During the summer of 2014, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds of golf played from its whit
lys-0071 [83]

Answer:

Step-by-step explanation:

Hello!

You have the data on 443 rounds of golf played on the 12th hole.

The variable of interest is:

X: score of one round of golf played on the 12th hole.

To construct the empirical distribution of the discrete variable you have to organize the data from least to highest and count how many times each score was recorded, establishing the absolute frequency for each value of the variable.

a. Check attachment.

fi= absolute frequency

Fi= accumulated absolute frequencies

hi= relative frequency

Hi= accumulated relative frequency

b.

P(X≤4)

This is the probability of the player scoring "4 or less", so it includes the probability of the player scoring 3 and the player scoring 4, symbolically:

P(X≤4)= P(X=3)+P(X=4)= H(4)= 0.136

c.

The expected score of a discrete variable is:

E(X)= [∑(Xi*fi)]/n= 2343/443= 5.29

d.

To calculate the variance of the variable you have to use the following formula:

V(X)= 1/(n-1)*[∑(Xi²*fi)-(∑(Xi*fi)²]/n)] = (1/442)*[12831-(2343²/443)]

V(X)= 0.993

e.

The standard deviation is the square root of the variance:

√V(X)=√0.993= 0.994

I hope it helps!

4 0
3 years ago
Read 2 more answers
The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f
elixir [45]

Answer:

g(x) = 30\cdot x +40; a \approx 1.898, k = 40.

Step-by-step explanation:

The resultant function is obtained by multiplying f(x) by a real number k. That is:

g(x) = k \cdot f (x)

If k = 5 and f(x) = 6\cdot x + 8, then g(x) is:

g(x) = 5\cdot (6\cdot x + 8)

g(x) = 30\cdot x +40

Given that presence of the expression g(x) = 6^{a}\cdot x + k, then:

6^{a} = 30 and k = 40

The value of a is obtained by applying the definition of logarithms:

a = \log_{6}30

a \approx 1.898

Finally, the value of k is found by direct comparison:

k = 40

6 0
3 years ago
Please can anyone help?
Elena L [17]

Answer:

9/5x^3

Step-by-step explanation:

i hope that is the answer

7 0
3 years ago
Other questions:
  • Help on complex numbers
    13·1 answer
  • PLEASE HELP! I NEED THIS IN ORDER TO GRADUATE TOMORROW!!!
    10·2 answers
  • Value of y when x = 0. -8× +8y =-16
    14·2 answers
  • Look at the pattern below.How should the tird shape be labeled<br>​
    5·1 answer
  • Sarah is making strawberry yogurt by mixing strawberry puree and yogurt in the ratio of 2 to 4. How many grams of strawberry pur
    12·1 answer
  • Make m the subject of the formula ​
    9·1 answer
  • Linear Law Additional Mathematics F4​
    15·1 answer
  • 3. A $50 pair of shoes is discounted by 15% What will be the new<br> price of the shoes?
    14·1 answer
  • The heights of male are normally distributed with mean of 170 cm and standard deviation
    11·1 answer
  • PLSS HELP. <br> Simplify the expression. Write the answer using scientific notation (7x10^5)^2
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!