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
NemiM [27]
2 years ago
14

Find an explicit formula for the arithmetic sequence below. 9, 39/4, 21/2, 45/4, 12, 51/4,...

Mathematics
1 answer:
RideAnS [48]2 years ago
8 0
F(n) = 9 + 0.75(n-1)
You might be interested in
What is the square footage for this property described by the metes-and-bounds method? Beginning at the point of the southerly s
Nataly [62]

Answer:

  A.  20,000 square feet

Step-by-step explanation:

The description is that of a rectangle 200 ft long and 100 ft wide. The area is the product of those dimensions:

  area = (200 ft)(100 ft) = 20,000 ft²

4 0
3 years ago
Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel align
sasho [114]

Answer:

Step-by-step explanation:

Hello!

The given data corresponds to the variables

Y:  Annual Maintenance  Expense ($100s)

X: Weekly Usage  (hours)

n= 10

∑X= 253; ∑X²= 7347; \frac{}{X}= ∑X/n= 253/10= 25.3 Hours

∑Y= 346.50; ∑Y²= 13010.75; \frac{}{Y}= ∑Y/n= 346.50/10= 34.65 $100s

∑XY= 9668.5

a)

To estimate the slope and y-intercept you have to apply the following formulas:

b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95

a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53

^Y= a + bX

^Y= 10.53 + 0.95X

b)

H₀: β = 0

H₁: β ≠ 0

α:0.05

F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}

F= 47.62

p-value: 0.0001

To decide using the p-value you have to compare it against the level of significance:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The decision is to reject the null hypothesis.

At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.

c)

The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:

R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86

This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X

d)

Without usage, you'd expect the annual maintenance expense to be $1053

If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553

If used 1000 hours weekly the expected maintenance expense will be $96053

It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.

4 0
2 years ago
Which equation below has no solution?
soldier1979 [14.2K]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Susie is having a party with 15 guests. she wants to feed everyong sandwhiches.if susie buys 7 1/2 pounds of meat, how much meat
padilas [110]
Take 7.5 and divide by 15.
7.5/15=.5
each guest will get .50 pound of meat.
4 0
3 years ago
Help please i will be so thankful
WARRIOR [948]

Answer:

-5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • In a nationwide polls of 1,500 randomly selected U.S. residents, 77% said that they liked pizza. In a poll of 1,500 randomly sel
    14·2 answers
  • A coin is tossed 4 times. What is the probability if getting 2 heads, 2 tails?
    13·2 answers
  • Will make brainiest if answered correctly<br><br><br> write the value of the expression<br> 3^3/3^6
    5·1 answer
  • This question is confusing
    8·2 answers
  • Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had al
    6·1 answer
  • The number pattern shows a skip-counting rule. 5,20,35,50,65. Which number pattern follows the same rule?
    15·1 answer
  • Please help it timed
    13·1 answer
  • A. (0,-4)<br> B. (1,0)<br> C. (3,2)<br> D. (2,3)
    15·1 answer
  • Discussion Topic
    10·1 answer
  • Can someone help explain why it cannot be determined pls
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!