Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.
In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 169900[/tex].The sample standard deviation is [tex]s = 21756[/tex].The sample size is [tex]n = 5[/tex]First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.
Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.
The margin of error is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In this case:
[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].
[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].
Thus, the correct option is D. (142886, 196914).
A similar problem is given at https://brainly.com/question/15180581
Please help and leave a small explanation!
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
Answer:
27
Step-by-step explanation:
6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
999 to the nearest thousand
Answer: 1000
Step-by-step explanation:
Answer:
1000
Is the answer I think
2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers
Answer:
(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Step-by-step explanation:
(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n + (n+1) < 1000[/tex]
[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)
Then we solve the inequation by algebraic means:
[tex]2\cdot n < 999[/tex]
[tex]n < \frac{999}{2}[/tex]
[tex]n < 499.5[/tex]
Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n+(n+1)+(n+2) < 1000[/tex]
[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)
Then we solve the inequation by algebraic means:
[tex]3\cdot n < 997[/tex]
[tex]n < \frac{997}{3}[/tex]
[tex]n < 332.333[/tex]
Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]
[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)
Then we solve the inequation by algebraic means:
[tex]5\cdot n <990[/tex]
[tex]n < \frac{990}{5}[/tex]
[tex]n < 198[/tex]
Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
I’m stuck on all of these
:( any help would be very appreciated
Answer:
1. 8x^3+6x^2+7
Step-by-step explanation:
what is the percentage of change for the cost of cheeseburger if in the year of 2000 it was $5.00 and in 2015 is $6.50.
Answer:
$2.50
2015: $2.00
2000: $7.50
2000: $5.00
2000: $2.00
2015: $9.00
2015: $6.50
2015: $4.50
2010
1. what is the percent of change in the cost of a pizza? _ a
x 150
100 1.50 p1500 750 1155oo.
150 isg
pi
2. what is the percent of change in the cost of a cheeseburger?
175
6.50
1.50
Step-by-step explanation:
HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?
Step-by-step explanation:
1 is the starting point since it is on the the axis.
then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1
(it is an addition sign since it is a positive slope)
The serving size for toddlers daily vitamin C is 3/4 cup of orange juice if there are 21/4 cup of orange juice how many servings of vitamin C are there for a toddler
Answer:
3
Step-by-step explanation:
First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip) 9/4 x 4/3=36/12. THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.
Laura took a test and got 45 questions right which is a grade of 75%. How many questions were there in all?
Answer:
60 questions in total
Step-by-step explanation:
75% of 60 is 45
hope this helps :3
if it did pls mark brainliest
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
what number makes equation true enter the answer in the box
_ / 6 = 7
Answer:
42
Step-by-step explanation:
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Problem 2. A random variable has the following density function:
f (x) = 1- 0.5x 0 < x < 2
a. Graph the density function.
b. Verify that f(x) is a density function.
If f(x) is a density function, then its integral over the entire real line should be 1:
[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2(1-0.5x)\,\mathrm dx=(x-0.25x^2)\bigg|_0^2=2-1=1[/tex]
so yes, f(x) is indeed a density function.
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
476,502 looking the number what would be 10,000 more
Answer:
486,502
Step-by-step explanation:
How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992
Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay
Answer:
100
Step-by-step explanation:
5% of 2000 is 100
Cuanto es 1/4 en pedazos?
Answer:
1/4 en pedazos seria 1/4 en pedazos
Step-by-step explanation:
la pregunta no tiene sentido
Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$340 for 18 ft2
Answer:
18.89
Step-by-step explanation:
340/18=18.8888
18.888 to the nearest hundredth is 18.89
Tom is the custodian at the local highschool. He has a circular key ring with 9 keys on it. How many different arrangements of those keys can Tom make on his key ring?
tom will have his key 10
Answer:
40,320.. took the test on USA test prep
Step-by-step explanation:
10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(
Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?
a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.
b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.
d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.
Answer:
Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
Mark as brainliest if it's correct!
what does zero stand for
You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?
Answer:
15/41
There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total
Which expression would be easier to simplify if you used the associative property to change the grouping.
c? i think its c (Sorry if iim wrong)
Answer:
The answer is D
Step-by-step explanation:
What is the equation of the line? Identify the values of A, B, and C in the
standard form of the equation.
The equation of line is
____
Answer:
-1
Step-by-step explanation:
68 over 100 is what %
Answer: it should be 68%
You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500
Answer:
B
Step-by-step explanation:
120/60=2
2 hours
The time required in minutes to set the sterilizer is 120. The correct option is B.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.
The time in minutes will be calculated as:-
Time = 2 hours
Time = 2 x 60 minutes
Time = 120 minutes
Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.
To know more about an expression follow
https://brainly.com/question/11096532
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x-1/4(12-x)=x+3(4-x)-2x
A.) -20/7
B.) 20/7
C.) 7/20
D.) -7/20
Answer:
The answer is B
Step-by-step explanation:
hope this helps
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
