Complete Question
Each of the following hypothetical data set represents some repeated weighing of a standard weight that is known to have a mass of 100 g. Assume that the readings are a random sample from a population that follows the normal curve. We perform a t-test to see whether the scale is properly calibrated. Find the corresponding P-value for this test..
The data in grams are
100.02 , 99.98 , 100.03
Answer:
The p-value is [tex]p-value =0.5798[/tex]
Step-by-step explanation:
Generally the sample mean of the given data is mathematically represented as
[tex]\= x = \frac{100.02 + 99.98 + 100.03 }{3}[/tex]
[tex]\= x =100.03 \ g[/tex]
Generally the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{\sum [x_i - \= x]^2 }{n-1} }[/tex]
=> [tex]s = \sqrt{\frac{[ 100.02 - 100.01]^2+ [ 99.98 - 100.01]^2+[ 100.03 - 100.01]^2 }{3-1} }[/tex]
=> [tex]s = 0.02645[/tex]
The null hypothesis is [tex]H_o : \mu = 100[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 100[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 3 - 1[/tex]
=> [tex]df = 2[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 100.01 - 100 }{\frac{0.02645}{\sqrt{3} } }[/tex]
=> [tex]t = 0.655[/tex]
From the t distribution table the probability corresponding to the t to the right of the bell curve at a degree of freedom of [tex]df = 2[/tex]
[tex]P( T > 0.655 ) = 0.2899[/tex]
Generally the p-value for this two tailed test is mathematically represented as
[tex]p-value = 2 * P(T > 0.655)[/tex]
=> [tex]p-value = 2 * 0.2899[/tex]
=> [tex]p-value =0.5798[/tex]
Solve 81(88w+82)=-207198
Group of answer choices
w=-30
w=-29
w=-28
w=-31
Answer:
w=-30
Step-by-step explanation:
81(88w+82)=-207198
7128w+6642=-207198
7128w=-213840
w=-30
BRAINLIST ASAP
san was charged $1,050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it?
The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.
Answer: 60 million per year
Step-by-step explanation:
The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:
Average rate of change = change in number of vists in billions / number of years passed
= (1.6 billion - 1.3 billion) / 1999 - 1994
= 0.3 billion/5
= 60,000,000
= 60 million per year
The mean diastolic blood pressure for a random sample of people was millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be millimeters of mercury, find a confidence interval for the true mean diastolic blood pressure of all people. Then give its lower limit and upper limit.
Answer:
(85.62, 90.38).
Step-by-step explanation:
The missing data can be assumed to be we have the following information:
¯x =88, s=10, n=70
Substituting the values in the following formula, we compute the 95% C.I for true population mean diastolic pressure as shown below:
95% C.I.=¯x±t(0.95,n−1)⋅Sm=¯x±t(0.95,70−1)⋅s√n=88±1.99⋅10√70=(85.62,90.38)
The answer is (85.62, 90.38).
which of these numbers are multiples of 6 choose all that apply
Answer:
12, 24, 36, 48, 60, 72
Step-by-step explanation:
Answer:
ok its c daddy hope it helps dad
Step-by-step explanation:
(5x+3) - (2x-6) i need help ? ToT
Answer:
3x + 9
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(5x + 3) - (2x - 6)
Step 2: Simplify
Distribute negative: 5x + 3 - 2x + 6Combine like terms (x): 3x + 3 + 6Combine like terms (Z): 3x + 9Domain is the set of all input values, while range is the set of all:
a. independent variables
b. output values
c. relations
d. functions
Please select the best answer from the choices provided.
What is the root of the polynomial equation x (x minus 2) (x + 3) = 18? Use a graphing calculator and a system of equations. –3 0 2 3
Answer:
D) 3
Step-by-step explanation:
Using the graphing calculator, the roots of the polynomial equation are 3
What are polynomial functions?They are functions that has a degree of 3 and above. Given the expression
x(x-2)(x+3) = 18
Expand
(x²-2x)(x+3) = 18
x³+3x²-2x² -6x-18 = 0
x³+x² -6x-18 = 0
Using the graphing calculator, the roots of the polynomial equation are 3
Learn more on factoring here: https://brainly.com/question/24734894
#SPJ2
Each patron pays an annual fee of $36 to the library at the library collects $20,304 for an annual fee how many patrons are there
Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Chicago tour schedule :
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)
Total touring time in Chicago = 4 hours 35 minutes
Dinner time is slated at 5:10 pm
Latest time to start tour :
5:10 pm - 4 hours 35 minutes = 1 :35 pm
Easy algebra 1 please help
9514 1404 393
Answer:
(H) y = 1/3x + 5
Step-by-step explanation:
When x=0, y=5, so you know G is not a possibility.
Y increases at a lower rate than x does. For example, between the first two table entries, x goes up by 6, but y goes up by 2. The only choice with a rate of change less than 1 is ...
(H) y = 1/3x + 5
Help ASAP
The value of y varies directly with x. When y= 80, x= 2. What is the value of y when x is 2?
100
O 64
O 156
O 400
Answer:
I just know something that answer is 156
According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?
Solution :
According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.
Now this is considered as a joint event. This is because the above statement consists of two events.
1. Video games are sold in the United States.
2. Women purchased video games.
The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.
Daisy used a wooden board for a craft project. The board was 9 feet 4 inches tall. How tall is the board in inches?
Answer:
112
Step-by-step explanation:
A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches
Answer:
112 inches
Step-by-step explanation:
Write the following numbers in order of size.
Start with the smallest number.
-4
5
0
-2
3
Find the slope of the line containing the points in the table below
Answer:
slope = 3
Step-by-step explanation:
Choose any two points: For example, (2, 4) and (4, 10)
Find the difference in y. This is called the "rise."
rise = 10 - 4 = 6
In the same order, find the difference in x. this is called the "run."
run = 4 - 2 = 2
slope = rise/run
slope = 6/2
slope = 3
(x - 12) - 5 = 3x - 2
x = ?
Answer:
not equal
Step-by-step explanation:
Answer:
x= -7.5
Step-by-step explanation:
x-12-5=3x-2
x-17=3x-2
-2x=15
x=-7.5
PLS PLS HELP! WILL GIVE BRAINLIEST IF ALL QUESTIONS ARE ANSWERED AND IF THEY’RE RIGHT!
Brad made a graph showing how many students were absent from school every day last week.
Use the graph to answer the questions.
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answer:
1. (1,7),(2.10),(3,5),(4,7),(5,9)
2. There were 5 students absent on day 3. I know because it shows on the graph.
3. Day 2 was the greastes number of studnets absent. There were 10 students absent that day.
4. The relation represented is a function becasue for each x-value there is only one y-value.
Step-by-step explanation:
Dave bakes 12 cakes in 3 minutes. If b represents the numbers cakes David bakes in minutes . What is a linear equation that represents this situation
Answer:
The linear equation will be:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
Step-by-step explanation:
Let 'b' represents the numbers of cakes David bakes in minutes.
Let 'a' represents the time David takes to make 12 cakes
As Dave bakes 12 cakes in 3 minutes.
unit rate = 12/3 = 4 cakes / per minute
The unit rate can also be treated as a slope as it is just representing the rate of change.Thus, the linear equation will be:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
VERIFICATION
if a = 3 minuts
then
b = 4(3) = 12 cakes
and
if a = 2 minutes
then
b = 4(2) = 8 cakes
and
if a = 1 minute
then
b = 4(1) = 4 cakes
Thus, the required equation is:
b = 4a
Here,
b = numbers of cakes David bakes
a = the time taken by David to bake cakes
Please help me I appreciate it
Answer:
m∠SRT = 33° ∵ m∠QRT = m∠SRT
Step-by-step explanation:
Given the diagram,
RT bisects ∠SRQ, and m∠QRT = 33°
RT bisecting ∠SRQ means RT will bisect ∠SRQ into two equal angles, which are:
m∠QRT = m∠SRT
as
m∠QRT = 33°
so
m∠SRT = 33° ∵ m∠QRT = m∠SRT
is 2*4 and 4*4 proportianal?
Answer:
no, 2/4 and 4/4 is not proportional.
Step-by-step explanation:
answer is not equal
Math Problem again will mark brainliest.
Answer:
The answer to this problem would be A.
Step-by-step explanation:
For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.
Answer:
A. 9x + 32 ≤ 122
Step-by-step explanation:
$32 is the fixed monthly due
$9 everytime she uses childcare
$122 is the maximum she wants to spend This month.
32 + 9x ≤ 122
The three linear equations have y intercept of -3.8 and 7 respectively. Yet, a function can have only one y intercept. which of these is the y intercept of this function? explain how you made your choice.
Answer:
agagasg
Step-by-step explanation:
Which one of the statements below is FALSE?
O Graphing is a method for solving a System of Equations.
Substitution is a method for solving a System of Equations.
Simplification is a method for solving a System of Equations.
Elimination is a method for solving a System of Equations.
Answer:
Simplification is a method for solving a system of equations
Step-by-step explanation:
-Graphing is a real way to solve a System of Equations
-Substitution is a real way to Solve Systems of Equations
-Elimination is a real way to solve Systems of Equations
so, Simplifcation can't be one
Take 2x-4y=6 and 4x+2y=17 for example.
They are both in standard form, so you could change them to y=mx+b and graph it. The intersection is the correct answer.
You can also solve one of the equations for y or x, and substitute that into the other equation, and solve for both x and y
or, you could add the two equations together and solve for x and y.
You can't simplify them.
Patterns and functions
Plz help ASAP fheodjdidididkdu
Answer:
B
Step-by-step explanation:
Which property justifies rewriting 3x-5x as (3-5)x?
Answer:
distributive property of multiplication over subtraction
How can I solve this?
Please use the simplest format
Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
opposite = 4adjacent = nThus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²
[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]
[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]
[tex]m=\sqrt{\frac{64}{3}}[/tex]
[tex]m=\frac{8}{\sqrt{3}}[/tex]
[tex]m=\frac{8\sqrt{3}}{3}[/tex]
Thus,
[tex]m=\frac{8\sqrt{3}}{3}[/tex]n = 4√3 / 3Therefore, option D is true.
Charles received a $3.00 tip from a customer who had a $12.00 bill. Which decimal represents the fraction of the bill Charles received as a O 0.12 0 0.25 O 0.3 O 0.4
Answer:
I think 0.4 would be the answer
Answer:
0.12 go to places to the left
Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:
Answer:
y = -20x + 300
Step-by-step explanation:
y is total amount of money left (because this is the answer we are trying to find.)
x is the amount of times she goes to the ATM (because this is our unknown variable.)
-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.
