PLEASE HELP! 50 POINTS! Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). Which of the following will give a 95% t confidence interval for the mean of the population from which the sample was drawn?
Answers
Answer:
(15.23,41.016)
Step-by-step explanation:
WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
[tex]= (21 + 24 + 25 + 32 + 35 + 31 + 29 + 28)/8 = 225/8 = 28.125[/tex]
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
[tex]= ((21 - 28.125)^{2} + (24 - 28.125)^{2} +(25 - 28.125)^{2} + (32 - 28.125)^{2} + (35 - 28.125)^{2} + (31 - 28.125)^{2} + (29 - 28.125)^{2} (28 - 28.125)^{2}[/tex]
[tex]= 148.877/8 = 18.6[/tex]
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
[tex]= 28.125 + (1.96 *18.6)/(\sqrt{8} )[/tex]
[tex]= 41.016[/tex]
[tex]= 28.125 - (1.96 * 18.6)/(\sqrt{8}) = 15.23[/tex]
The confidence interval for this data set is (15.23,41.016)
Answer:
32.7 ± 2.262(1.19)
Step-by-step explanation:
See attached pictures
Related Questions
Gabrielle used 7 1/5 inches each of 6 different colors of embroidery floss to make one friendship bracelet. Each package of floss contains 12 feet. How many friendship bracelets can Gabrielle make if she has one package of each color?
Answers
The number of friendship bracelets Gabrielle can make is 20 bracelet
Conversion of feet to inches1 feet = 12 inches
12 feet = 144 inches
Number of colors of floss = 6
Quantity of each floss = 12 feet = 144 inches
Total quantity of floss = 6 × 144
= 864 inches
Quantity of each floss used for bracelet = 7 1/5 inches
Total floss used for each bracelet = 6 × 7 1/5
= 6 × 7.2
= 43.2 inches
Number of bracelet Gabrielle can make = Total quantity of floss ÷ Total floss used for each bracelet
= 864 ÷ 43.2
= 20 bracelet
Learn more about conversion of feet to inches:
https://brainly.com/question/384660
Noah's Diner offers its clients a choice of regular and diet soda. Last night, the diner served
18 regular sodias and 57 diet sodas. What percentage of the sodas served were regular?
Answers
Answer: 24%
Step-by-step explanation:
for these problems you can use this equation: [tex]\frac{x}{n} *100=p[/tex]
where x=given quantity, n=total amount, and p is your answer.
for this problem x=18 (regular sodas)
we add the amount of regular and diet sodas to get n=75 (18+57)
when we plug it in we have [tex]\frac{18}{75} *100[/tex] which gives us our answer, p, 24%
hope this helped ♡
Select Statistical or Not statistical to classify each question.
How many sisters do you have?
How many inches are in 2 feet?
How many pets do you have?
Answers
Answer:
1: statistical
2: not statistical
3: statistical
Step-by-step explanation:
The first and third statements can be answered by many people.
How many sisters do you have?
- Not statistical
How many inches are in 2 feet?
- Not statistical
How many pets do you have?
- Not statistical
What are statistical data?Statistical data are numerical or categorical information that has been collected through a systematic process and analyzed using statistical methods.
These data can be used to describe, summarize, compare, and draw conclusions about a population or a sample.
We have,
How many sisters do you have?
- Not statistical
How many inches are in 2 feet?
- Not statistical
How many pets do you have?
- Not statistical
None of these questions involve collecting, analyzing, or interpreting data, which are key characteristics of statistical questions.
They are simply asking for a count or a conversion of units, and do not involve any variability or uncertainty.
Thus,
All the given questions are not statistical.
Learn more about statistical data here:
https://brainly.com/question/11969248
#SPJ3
3(2x + 1) = 7x-2
What is x
Answers
Answer:
x=-5
Step-by-step explanation:
3(2x+1)=7x-2
6x+3=7x-2
6x-7x=-2-3
x=-5
3(2x + 1) = 7x-2
3*2x+3*1=7x-2
6x+3=7x-2
6x-7x=-3-2
-1x=-5
x=5
Find the degree of the polynomial.
– 3x^6 +2x^3 +x^7 +5
Help pls
Answers
Answer:
The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7
Step-by-step explanation:
The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.
Answer:
7
Step-by-step explanation:
The degree of a polynomial is the highest exponent in a polynomial.
Standard Form
To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.
This means that the standard form is [tex]x^7-3x^6+2x^3+5[/tex]Degree
From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.
In the United States we measure fuel economy in miles per gallon. At the beginning of a trip a car's odometer read 23,450 miles, and the fuel tank was full. At 23,742 miles the fuel tank was refilled with 9.87 gallons of gas. Estimate the number of miles per gallon the car averaged on that portion of the trip.
Answers
Answer:
About 30 miles per gallon of gas
Step by step:
First you subtract 23,742 - 23,450
and then you divide it by 9.87 and then you round
What is the value of [5] – 1 – 5] - ( – 5)?
Answers
Value is -1 , Hope this helps.
Which number is an irrational number?
A) 3.5
B) √ 36
C) √ 148
D)
37
—
100
Answers
Answer:
C) √ 148
Step-by-step explanation:
what is 1.5 +1.5 in a fraction
Answers
Therefore, 1.5 as a fraction is written 3/2.
Answer:
3/1
Step-by-step explanation:
1.5+1.5
calcular los dos primeros términos
3
escribe el número entero como una fracción
3/1
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Answers
Hey there!
This is a one-step equation, meaning that we can solve it in one step.
This is the step:
Subtract 14 from both sidesGoal:
To find out the value of xSubtract 14:
x+14-14=63-14
the 14's on the left cancel:
x=49
Hence, the answer is
[tex]\boxed{\boxed{\bold{x=49}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
[tex]\rule{200}{2}[/tex]
Shirley has 5 novels and 5 comic books in her bag.
Three of her books are in Japanese, 2 of which are
comic books. The rest of her books are in English.
If a book is chosen at random from her bag, find
the probability of choosing
(((i) a book in Japanese))))-question
Answers
Answer:
3/10
Step-by-step explanation=
Total amount of books in her bag = 10
Total amount of Japanese books in bag = 3
So you have a 3 out of 10 chance of choosing a Japanese book
Also, this problem was trying to confuse you with all the extra wording
Here is the important information in bold
Shirley has 5 novels and 5 comic books in her bag.
Three of her books are in Japanese, 2 of which are
comic books. The rest of her books are in English.
If a book is chosen at random from her bag, find
the probability of choosing
(((i) a book in Japanese))))-question
Round to the nearest tenth, I will give brainlyest PLEASE
Answers
1. cos B= a/x
x= 11/cos 37°
x= 13.77
2. tan A= a/x
x= 4/tan 41°
x= 4.60
3. sin B = x/c
x= sin 37° × 10.3
x= 6.20
4. tan A= a/b
tan A= 4/13
A= tan-1(0.31)
A= 17°6'10"
5. cos A= b/c
cos A= 12/13
A= cos -¹(0.92)
A= 22°37'12"
6. tan B= a/b
tan B= 3/3
tan B= 1
B= tan‐¹(1)
B= 45°
Jose bought a magazine for $10 and some erasers for $2 per eraser. He spent a total of $25. How many erasers did he buy? Answer using two step equations with X as the variable
Answers
Answer:
He bought 7 erasers take 10 dollars and keep adding 2
Two boys, Brady and Quinn, are running a 100 meter race. In the race, Brady beats Quinn by 5 meters.
They decide to race again. To make things fair, in the second race, Brady stands 5 meters behind the
starting line. The two boys run at the same speed as they did in the first racy. Who wins the second race?
Answers
Answer:
It states they ran the same speed in the first race so that means only the distance they ran would be different. Thus that means Brady only ran 95 meters instead of 100 meters. If Brady was put 5 meters back that means it will be a tie if they ran at the same speed the entire race.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
It would be a tie. Brady is 5 meters faster then Quinn. So if Brady were to stay behind 5 meters and they ran the same speed as they did before, then it would be a tie.
How to be good at math???
Answers
Answer:
Step-by-step explanation:
To get good at math is to pay attention to the formulas and quiz yourself with what ever your learning over and over until you get it.
I think the best place to start would be algebra, I’ve used it in every math class since passing, and it would actually be useful in the real world.
Khan academy is one of the best resources available, they have videos on pretty much any math topic.
You watch a video, then do a few practice problems, and if you need help with the problems there’s a button that shows you the entire problem solving process. You can review and practice as much as you need, and then at the end of each topic they have a practice quiz.
Besides that I think math homework is a great way to get better. If you make mistakes on the homework you will loose less points than if you make mistakes on the test/quiz. Also, going over your mistakes is key.
If you haven’t had any good math teachers it can be very hard to learn these topics, but take it at your own pace.
With math you have to understand before you move on, or else it’s like trying to read words without knowing the alphabet.
Keep practicing, you can do it!
The average age for the 62 observed milk cows as they first produced
Answers
Answer:
32
Step-by-step explanation:
as i thing that brother thank you
The product of seven and the number m
translate into an algebraic expression please
Answers
Answer:
7m
Step-by-step explanation:
product means multiplication
7×m = 7m
Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The
grand-prize is a ten-speed mountain bike. Which word or phrase describes the
probability that she will win the raffle if she buys all the tickets?
A. An equal chance or 50-50
B. Certain
C. Unlikely
D. Likely
Answers
Answer:
Certain
Step-by-step explanation:
If she buys all of them, no one else has a chance because there is no other tickets
The volumes of two similar solids are 1408 m3 and 594 m3. The surface are of the smaller solid is 549 m2. What is the surface area of the larger solid?
Answers
The surface area of the larger solid is approximately 971.13 m².
What is scale factor?
A scale factor is the ratio of the corresponding sides of two similar objects.
Let's find the scale factor as follows:
z = scale factor
x = the volume of the larger solid
y = the volume of the smaller solid
Therefore,
z³ = x / y
z³ = 1408 / 594
z = ∛1408 / 594
z = 11.2081573 / 8.40611799
z = 1.33
Therefore,
let's find the surface area of the larger solid.
The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,
z² = larger solid / 549
surface area of the larger solid = 1.33² × 549
surface area of the larger solid = 1.7689 × 549
surface area of the larger solid = 971.1261
surface area of the larger solid = 971.13 m²
learn more on similar solids here: https://brainly.com/question/2254019
Help picture below problem 16
Answers
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
Find the area enclosed by the figure
Fastttttt plsssss
Answers
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
Celene invierte $5,000 en un banco al 5.15% de interés anual capitalizable cada trimestre. Utiliza el interés compuesto para determinar cuál es el rendimiento porcentual anual
Answers
El monto total acumulado, capital más interés, con interés compuesto sobre un capital de $5,000.00 a una tasa de 5.15% anual compuesto 4 veces por año durante 1 año es $5,262.52.
Interés compuestoDatos dados
Principal = $ 5000Tasa = 5,15%Tiempo = 1 añoA = P + I donde
P (principal) = $5,000.00
I (interés) = $262.52
Pasos de cálculo:
Primero, convierta R como un porcentaje a r como un decimal
r = R/100
r = 5,15/100
r = 0.0515 tasa por año,
Luego resuelve la ecuación para A
A = P(1 + r/n)^nt
A = 5000,00(1 + 0,0515/4)^(4)(1)
A = 5,000.00(1 + 0.012875)^(4)
A = $5,262.52
Obtenga más información sobre el interés compuesto aquí:
https://brainly.com/question/24924853
7
X
which graph represents the function 2x) - 3-2,
10
4
2 4 6 8 10
-1086
10
10
Save a
Mark this and return
Answers
Answer:
y = -6
Step-by-step explanation:
1) A prize is divided in the ratio 15:1 if the smaller share is £5 what is the total prize?
Answers
Answer:
£80
Step-by-step explanation:
larger ratio is 15 and smaller ratio is 1
15 + 1 = 16
£5×16=£80
College algebra chapter 3
Answers
Equation given: [tex]S = 16t^2[/tex]
S: distance fallen --> 1279 ftt: time taken for the distance fallenSolve:
[tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]
Thus it took 8 seconds for the thing to fall from the top
Hope that helps!
Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?
Answers
Answer:
P(F) = 0.26
Step-by-step explanation:
Given:
P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06Using formula: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)
⇒ 0.69 = 0.49 + P(F) - 0.06
⇒ 0.69 = 0.43 + P(F)
⇒ P(F) = 0.69 - 0.43
⇒ P(F) = 0.26
A dotted piece of cloth is 4 feet wide and 2 yards long. A plaid piece of cloth is 3 feet wide and 8 feet long. Show how to find the number of 1-foot squares in each cloth by drawing an array and using multiplication.
Answers
Answer:
Step-by-step explanation:
1. Change all the units to be the same. 1yd= 3 feet so 2yd x 3ft =6ft
new Dimensions 4x8 and 3x8
2. View images
In your own words describe how to find the perimeter of a shape with fractional sides used the rectangle below to example
Answers
Answer:
U add both side of the shape to get the fractional
Step-by-step explanation:
I just did this not to long ago
MARK AS BRAINLIEST PLS HELP
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n
output
5
6
12
?
Answers
?=24
wydaje mi się że to poprawna odpowiedź ale nie jestem pewny
The outputs are addition of 4 to their inputs therefore,if the input is n then the output will also be an addition of 4 hence n+4
Answer choices:
A: y=x
B: y=1/4x -2
C: y= -x + 7/4
D: y= 7/4x -2
Answers
Answer:
b: y=1/4x -2
Step-by-step explanation:
It says the answer in the question. the slope on the graph is really just 1 though.