Select the correct answer.
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location.
By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
Answers
From the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.
How to use the Central limit theorem?
We are given;
Population Mean; μ = $265
Population standard deviation; σ = $40.93
Sample size; n = 130
The central limit theorem (CLT) postulates that the distribution of sample mean approximates a normal distribution with larger sample sizes, disregarding the population's distribution.
This implies that sample sizes equal to or greater than 30 are often considered sufficient for the Central limit theorem to hold.
Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.
Read more about Central limit theorem at; https://brainly.com/question/17097944
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Answer:
See image below
Step-by-step explanation:
Related Questions
On three days, Ben throws darts at a target.
Here are his results.
Number of hits
Number of misses
30
10
Number of throws
Monday
40
Tuesday
30
Wednesday
50
Total
120
18
12
36
14
84
36
(1)
a) Use Tuesday's results to estimate the
probability of Ben hitting the targe.
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
c) Which estimate would give the most reliable probability?
A- the one from Tuesday or B - the one from the Total?
(1)
(1)
Total marks: 3
Answers
Answer:
0.6 ;
0.7
Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)
Step-by-step explanation:
Probability of hitting the target using Tuesday's result :
P(hitting the target):
Probability = required outcome / Total possible outcomes
Required outcome = number of hits = 18
Total possible outcomes = number of throws =. 30
Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6
B.)
Probability of hitting the target using Total result:
Required outcome = number of hits = 84
Total possible outcomes = number of throws =. 120
= 84 / 120
= 0.7
Help please!! I’ll give best answer brainliest!!
Answers
Answer:
D, The last one
Step-by-step explanation:
Normal distribution: Area between two points You might need: Calculator, Z table A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation of 4 points What proportion of exam scores are between 82 and 85.6 points? You may round your answer to four decimal places.
Answers
Answer: .2379
Step-by-step explanation:
Answer: 0.2379
Step-by-step explanation:
0.9115 - 0.6736 = 0.2379
"The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000)
8.0 6.8 12.0 9.5
6.0 6.4 7.5 10.4
12.0 11.6 9.0 6.6
10.5 10.2 10.6 10.1
8.5 6.0 10.0 6.1
12.5 11.1 7.5 9.0
9.0 7.5 10.0 12.6
5.5 8.4
a-1. Compute and report the regression equation that predicts "fall festival attendance" with "amount spent on Fourth of July fireworks". (Round your answers to 2 decimal places.)
a-2. Report the coefficient of determination. (Round your answer to 2 decimal places.) %
a-3. Interpret the regression coefficient. (Round your answer to 4 decimal places.)
b. Evaluate the regression assumptions based on an analysis of the residuals .
The regression assumptions based on an analysis of the residuals is_______.
Answers
Answer:
ŷ = 0.52X + 3.99 ;
0.26 ;
0.5123
Step-by-step explanation:
4th of July :
8.0
6.0
12.0
10.5
8.5
12.5
9.0
5.5
12.0
7.5
9.0
10.6
10.0
7.5
10.0
Fall festival :
6.8
6.4
11.6
10.2
6.0
11.1
7.5
8.4
9.5
10.4
6.6
10.1
6.1
9.0
12.6
Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;
ŷ = 0.52X + 3.99
Coefficient of determination ; R² is 0.26
This means that about 26% of variation in the fall festival attendance is explained by the regression line.
The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123
This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.
3x + 2 + 11x
It must be simplified
Answers
Answer:
14x+2
Step-by-step explanation:
3x+11x = 14x then +2 is left over so it's 14x+2
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020
Answers
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
If you divide me by 9, the remainder is 4. I am a multiple of 10. What two-digit number am I?
Answers
Answer:
40?
Step-by-step explanation:
i tried
A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly
three out of six free throws?
Answers
solve for x: -3(x+7)=5 . Explain how you solved for x and how you know your answer is correct
Answers
Answer:
Step-by-step explanation:
-3(x+7)=5
1. Multiply 3 and x+7 , you will get -3x-21=5
2. Add 21 on both sides, you will be left with -3x=26
3. Divide both sides with -3, and x will equal to -26/3
Graph the line with the given slope that passes through the given point.
(a) slope: 2 point: (1, 3)
Answers
Answer:
y= 2x + 3/2
Step-by-step explanation:
First, place a point on (1,3).
Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.
Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form
Answers
Answer:
3/4
Step-by-step explanation:
If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.
The answer is 3/4 of the kittens are not white.
This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.
Hope this helps, if not, comment below please!!!
:L
find the slope of the line through the points (10,6) and (-1,8)
Answers
Answer:
-2/11
Step-by-step explanation:
Highest common factor of 15 30 and 45
Answers
Step-by-step explanation:
I believe it is 15...all the numbers can be divided by 15, since 15 is the smallest number it is also the highest common factor only because 30 and 45 can be divided by 15
.......hope it helps!
Answer:
15
Step-by-step explanation:
Find the prime factors for each number as:
45 =3 × 3 × 5
30 = 2 × 3 × 5
15 = 3 × 5
Now identify the common factors and determine the GCF:
Therefore:
HCF = 3 × 5 = 15
What is the area of this shape
Answers
i think im not sure
The eccentricity of the conic
section shown is?
Answers
Answer: The eccentricity of the conic section shown in the given picture = 0
Step-by-step explanation:
The eccentricity of a conic is measure to determine how un-circle a conic section.
In the given picture, we have a circle.
A circle has an eccentricity of zero.
Therefore, the eccentricity of the conic section shown in the given picture = 0
Suppose the probability of failure in a binomial experiment is 0.15. What is
the probability of success?
A. 0.65
B. 0.35
C. 0.85
D. 0.75
Answer is 0.85
Answers
Answer:
C
Step-by-step explanation:
Like you said, the answer is 0.85.
Please help my daughter has been stuck on this for the pass hour now
Answers
Answer:
algebraic expression: 3x + 2b
coefficients: 3 and 2
variables: w and b
# of terms: 2
constant: 0
algebraic expression: 6xy - 2c + 4
coefficients: 6 and -2
variables: x, y, and c
# of terms: 3
constant: 4
algebraic expression: 2/3 y - 3p
coefficients: 2/3 and -3
variables: y and p
# of terms: 2
constant: 0
Answer:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
Step-by-step explanation:
Okay, lets break this down.
An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :
A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.
The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.
Variable: A letter used to determine an unknown value such as x
Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :
[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]
Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
With all of that said, lets look at the problems given:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answers
Answer:
Step-by-step explanation:
V=lbh=1 1/4×4×3 1/4
=5/4×4×13/4
=65/4
=16 1/4 cm³
=16.25 cm³
Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh
Explain step by step how to use the horizontal method the multiple the two polynomials
Answers
Answer:
Step-by-step explanation:
Multiply each term of the first polynomial with the second polynomial. Then combine the like terms.
(3a² + 5a - 2)* (5a² -3a + 4)
= 3a² *(5a² -3a + 4) + 5a*(5a² -3a + 4) - 2*(5a² -3a + 4)
=3a²*5a² - 3a*3a² + 4*3a² + 5a*5a² - 3a*5a + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)
=15a⁴ - 9a³ + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8
= 15a⁴ - 9a³ + 25a³ + 12a² - 15a² - 10a² + 20a +6a - 8
= 15a⁴ + 16a³ - 13a² +26a - 8
if ABCA-QRS, what must be the measure of <A
Answers
Answer:
m<A is 33
Step-by-step explanation:
126+21+x=180
147+x=180
180-147=x
x=33
Three friends drove radio controlled cars around a track. The table below shows the number of laps
completed by each person and the time it took.
Kaitlin
Keiko
Ann
Time (minutes)
9
7
5
Number of laps
54
28
25
Write the number of laps completed per minute for each person. Then determine who drove the fastest.
Number of laps completed per minute by Kaitlin:
Number of laps completed per minute by Keiko:
Number of laps completed per minute by Ann:
Select the person who drove the fastest.
Kaitlin
O keiko
Ann
Answers
keiko: 4
ann: 5
keiko drive the fastest
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answers
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Please help me ASAP
Answers
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Mean number of lessons Mean Absolute Deviation (MAD)
Group A 5
Group B 3
2
2
Which statement about the data is true?
The mean number of lessons for group A is greater than the mean
for group B by 1 MAD
B. The mean number of lessons for group A is greater than the mean
for group B by 2 MAD
C. The MAD for group A is more than the MAD for group B
D. On average, the dogs in group B required more lessons than the
dogs in group A
Answers
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD
Step-by-step explanation:
Given the table :
_______Mean number of lessons ____ MAD
GRP A _____ 5 ___________________ 2
GRP B _____ 3 ___________________ 2
With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3
Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.
The mean absolute deviation (MAD), measures how far a value is from the mean
Difference in mean number of lessons :
5 - 3 = 2
2 lessons ;
Number of mean absolute deviations:
Difference / MAD value = 2 / 2 = 1
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD.
Step-by-step explanation:
Test approved
at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.
Answers
Answer:
Rate = 10%
Step-by-step explanation:
Given:
Amount deposit = 25,000
Amount get = 26,250
Time = 6 month = 6 / 12 = 0.5 year
Find:
Rate
Computation:
Interest = Amount get - Amount deposit
Interest = 26,250 - 25,000
Interest = 1,250
Interest = P x R% x T
1,250 = 25,000 x R% x 0.5
Rate = 10%
9. What is the volume of this cube? (2 pts.) Show your work here.
Answers
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.
1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12
Answers
Answer:
Step-by-step explanation:
Sry but I only did 1,2,5,6,7&8
But am not sure if am correct just try
Solve the equation. The symbol "^" mean "raised to the second power"
C^2=28.2+42.1
Answers
Answer:
Step-by-step explanation:
c^2=28.2 + 42.1
SOLVE FOR A
A=logc (703/20), c ≠ 1 and C > 0
SOLVE FOR C
{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0
What figure has one endpoint and continues without end on one direction?
Group of answer choices
A. line
B. line segment
C. ray
D. point
Answers
Answer:
Step-by-step explanation:
b line segment
WILL MARK BRAINLIEST!!!
(03.03)
The description below represents Function A and the table represents Function B:
Function A
The function is 2 more than 5 times x.
Function B
x
y
−1
2
0
5
1
8
Which statement is correct about the slope and intercept of the two functions? (1 point)
Select one:
a. Their slopes are equal but y-intercepts are not equal.
b. Their slopes are not equal but y-intercepts are equal.
c. Both slopes and y-intercepts are equal.
d. Neither slopes nor y-intercepts are equal.
Answers
Function b? Honestly, I need these points.