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
worty [1.4K]
3 years ago
8

Write a function rule for our pattern. 84, 90, 96, 102, 108, …. You may use f(x) or the explicit formula. Use AN for the explici

t formula.
Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

For the given sequence, the function rule is f(x) = 84 + 6(n-1) where 'n' represents the number of the term in the sequence.

Step-by-step explanation:

For any given sequence, you need to first find the pattern, or relationship between the numbers.  In this case, you can see that the numbers increase by six each time.  The general formula for an arithmetic sequence, also called explicit formula, is a(n) = a(1) + d(n-1) where a(n) represents the term in the sequence; a(1) is the first term in the sequence; d=the common difference; and n=term number.  When we plug in the values from the question a(1) = 84 and d = 6 to get our final equation.

You might be interested in
A business school has a goal that the average number of years of work experience of its MBA applicants is more than three years.
gizmo_the_mogwai [7]

Answer:

z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280    

p_v =P(z>0.280)=0.390  

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=3.1 represent the sample mean

\sigma=\sqrt{6} represent the sample standard deviation for the sample

n=47 sample size  

\mu_o =3 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3  

Alternative hypothesis:\mu > 3  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{3.1-3}{\frac{2.449}{\sqrt{47}}}=0.280    

P-value

Since is a one side test the p value would be:  

p_v =P(z>0.280)=0.390  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its NOT significant higher than 0.3 at 1% of signficance.  

3 0
3 years ago
Identify the factor terms by grouping: 5x3 – 4x2 + 20x – 16
jek_recluse [69]

Answer:

The answer is D

Step-by-step explanation:

All you have to do is distribute.

x^2(5x-4)+4(5x-4) =

5x^3-4x^2+20x-16

7 0
3 years ago
If candy canes cost $0.89 per dozen, how much would it cost to buy candy canes
Illusion [34]

Answer:

$356

Step-by-step explanation:

So if they are 400 students we need to:

0.89*400=$356

4 0
3 years ago
Read 2 more answers
Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs
jolli1 [7]

Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

4/12 * 180 = 60kg

For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

8 0
2 years ago
Simplify -4 1/4-(-9 1/2) = ? <br><br>A. -13 1/3 <br>B. -5 1/4<br>C. 13 1/3<br>D. 5 1/4​
bagirrra123 [75]

Answer:

B

Step-by-step explanation:

Hope this helps

5 0
2 years ago
Other questions:
  • Martin used 400 ft of fencing to enclose a rectanguluar area in his backyard
    14·1 answer
  • When rounded to the nearest hundred, I become 3,000. What numbers could I be?
    9·2 answers
  • Jose buys a bag of cookies that contains 6 chocolate chip cookies, 8 peanut butter cookies, 9 sugar cookies and 8 oatmeal cookie
    9·1 answer
  • Find the midpoint of the line segment from (1,-1) to (2,4)
    8·1 answer
  • Solve the equation 21p-4=12p+7/2
    14·1 answer
  • Help Me Plz!!!!! POINTS 
    12·1 answer
  • Find the value of (6^0 − 7^0) × (6^0 + 7^0)
    11·2 answers
  • Solve the following <br><br>1) 2(x + 3) = x - 4<br>2) 4(5x-2) = 2(9x+3)<br><br>PLS HELP ​
    5·1 answer
  • The ratio of a pair of corresponding sides in two similar triangles is 5:3. The area of the smaller triangle is 108 in2. What is
    11·1 answer
  • If you sell the T-shirts at $24 and the expenses for the shirt is 10x + 100, how many T-shirts should you sell to make a profit?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!