Answer:
The 99% confidence interval for the difference between the mean fill volumes at the two locations is;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
Step-by-step explanation:
The number of bottles in the sample at the first location, n₁ = 18 bottles
The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L
The standard deviation, σ₁ = 0.010 L
The number of bottles in the sample at the second location, n₂ = 10 bottles
The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L
The standard deviation, σ₂ = 0.012 L
The nature of the variance of the two samples = Equal variance
The confidence interval of the statistics, C = 99%
The difference between the mean
[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]
(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9
∴ [tex]t_{\alpha /2}[/tex] = 3.25
Therefore, we have;
[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]
Therefore, we have the difference of the two means given as follows;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home. Find a 96% confidence interval for the true proportion of voters who feel this way. a.Find a point estimate for p, the population proportion who thought US spends too little on fighting hunger at home.b.Find a 96% confidence interval for p.
Answer:
a. 0.48
b. The 96% confidence interval for p is (0.457, 0.503).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.
This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].
This is the answer for question a.
96% confidence level
So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]
The 96% confidence interval for p is (0.457, 0.503).
Which is the better buy, Item A, selling at 5 and 2/3 pounds for $9.52 or Item B selling at 1 1/5 pounds for $1.98? Pls help !!
How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes
Answer:
50 laps
Step-by-step explanation:
10 laps : 6 minutes
multiply both sides by 5
50 laps: 30 minutes
Need help with one more thing. Find the value of y.
Answer:
12 or 13
Step-by-step explanation:
one of the two from my knowledge
Answer:
y = 11.82
Step-by-step explanation:
use cos:
⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
⇒ cos 10 = [tex]\frac{12}{y}[/tex]
cos of 10 is 0.9848
⇒ 0.9848 = [tex]\frac{12}{y}[/tex]
multiply 12 on both sides
⇒ 0.9848 x 12 = [tex]\frac{12}{y}[/tex] x 12
⇒ 11.82 = y
Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.
Answer:
$519.43
Step-by-step explanation:
bc it is
There are 85 sixth grade students in Mr. Green’s math class. This makes up 34% of the students in 6th grade in the school. What is the total amount of students in 6th grade?
Answer:
250
Step-by-step explanation:
Take the part (85) and put it over 34% like a fraction.
85 x
34 100
Then do 85 times 100
8500
Then divide it by your percent (34)
8500/34=250
what is the sum of 2/5 and 2/5 in simplest form
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
Joyce is making sushi rolls. She needs cup of
rice for each sushi roll. How many sushi rolls
can she make if she has 3 caps of rice?
3
You can use objects or draw
e picture to find the solution
Answer:
She can make 3 sushi rolls.
Step-by-step explanation:
it's not that hard, but ok
So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.
the difference of p and 7 is 30
Answer:
p = 37
p- 7=30
add seven to both sides and you get
p=37
Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23
Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.
Answer:
p(-4) = -134
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
p(x) = x³ - 3x² + 7x + 6
p(-4) is x = -4
Step 2: Evaluate
Substitute in x [Function]: p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents: p(-4) = -64 - 3(16) + 7(-4) + 6Multiply: p(-4) = -64 - 48 - 28 + 6Subtract: p(-4) = -140 + 6Add: p(-4) = -134TRUE or FALSE. Write the word True if the statement is true, and False if the statement is false
1.If my father and mother have a gene coding for obesity, it is guaranteed that I will be obese.
2.Many factors other than genetics may determine whether a person is obese.
3.It is possible that I will inherit other genes from my parents that counter the obesity genes.
4.Phenotypes are the observable characteristics of an individual.
5.Mutations determine differences in the human genome.
Answer:
Step-by-sTrue
tep explanation:
Answer:
1: False
2: True
3: True
4: True
5: False
Step-by-step explanation:
find the 14th term of the geometric sequence 2,4,8
Answer:
(0,16) I am pretty sure
Step-by-step explanation:
need help please. urgent!!
Answer:
12-3y-2x+x+2x = x-3y+12
3x+2y-2x+y+12 = x+3y+12
4y+3y+3x-6y-10-2 = 3x+y-12
x+3y+2x-3x+7+5 = 3y+12
Step-by-step explanation:
At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.
1. f + s = 1050
s + 80 = f
2. f - s = 1050
f + s = 80
3. f + s = 1050
f + 80 = s
4. f - s = 1050
s + 80 = f
5. f + s = 1050 f - 80 = s
Answer: Numbers 1 and 5.
Step-by-step explanation:
It will take Taylor alone 15 hours to complete the work alone.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.
We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -
f + s = 1050
f - 80 = s
To solve more questions on system of equations, visit the link-
brainly.com/question/29014197
#SPJ2
each of four people shake hands once with each of the other three. how many hand shakes will there be
Answer:
6
Step-by-step explanation:
o o o o
3+2+1 = 6
What is the final cost of an item priced at $5.70 after a 7% sale tax is applied
Answer:
the total is $6.10 once applied
and the sale tax is $0.40
Step-by-step explanation:
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle
Answer:
prove that opposite sides are congruent and parallel
Step-by-step explanation:
i took the testtttttt
The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.
We are given that;
The quadrilateral ABCD
Now,
A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.
For example, if the slope of AB is m, then the slope of BC is -1/m.
Also, a rectangle has opposite sides that are equal in length,
which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.
Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
To learn more about quadrilateral visit;
https://brainly.com/question/29934440?referrer=searchResults
#SPJ4
Triangle EFG undergoes a dilation centered at the origin. The result is triangle E'F'G'. Which rule describes the dilation?
A) (x, y) → (2x, 2y)
B) (x, y) → (4x, 4y)
C) (x, y) → ( 1 4 x, 1 4 y)
D) (x, y) → (−4x, −4y)
Thea answer B) (x, y) → (4x, 4y)
Answer:
B
Step-by-step explanation:
i took test
2^2x - 6(2^x) + 5 = 0
Answer:
can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.
Step-by-step explanation:
First one to answer gets BRAINLIEST no cap look at the picture.
Answer:
63 sq meters
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{11+7}{2} *7\\\\A=\frac{18}{2} *7\\\\A=9*7\\A=63[/tex]
Pls help extra points and mark brainlist
Answer:
Rock layers only (I think this is correct from the searches I've made)
Write 6% as a fraction in simplest form.
Answer:
Answer is 3/50
Step-by-step explanation:
I hope it's helpful!
Will someone please help me solve this problem.
Answer:
A
Step-by-step explanation:
The answer is 64 since it can be a multiple of the numbers
17
Write the integers that are closest to the number in the middle to complete the statement.
Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?
Answer:
sorry I cannot help
Step-by-step explanation:
I will try after some time to help u....LOL
enjoy
Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)
Answer: 120
Step-by-step explanation: 8 times 60 is 480 then converted to gallons do
480/4
12(-5z - 4)
please help me
Answer:
-60z - 48
Step-by-step explanation:
Is your expression.
cuanto es 8/9 x 15/16? porfaAa estoy en prueba
Answer:
=5/6
Step-by-step explanation:
happy to help ya :)