Answer:
The true mean contents of the cans being filled by this machine with 95% confidence is between 11.891 ounces and 11.949 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 35 - 1 = 34
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.032
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.032\frac{0.085}{\sqrt{35}} = 0.029[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 11.92 - 0.029 = 11.891 ounces.
The upper end of the interval is the sample mean added to M. So it is 11.92 + 0.029 = 11.949 ounces.
The true mean contents of the cans being filled by this machine with 95% confidence is between 11.891 ounces and 11.949 ounces.
EVERY MONTH, MS. THOMAS PAYS HER CAR LOAN THROUGH
AUTOMATIC PAYMENTS(WITHDRAWLS) FROM HER SAVINGS
ACCOUNT. SHE PAYS THE SAME AMOUNT ON HER CAR LOAN
EACH MONTH. AT THE END OF THE YEAR, HER SAVINGS
ACCOUNT BALANCE CHANGED BY -$2,931 FROM PAYMENTS MADE
ON HER CAR LOAN.
WHAT IS THE CHANGE IN MS. THOMAS SAVINGS ACCOUNT
BALANCE EACH MONTH DUE TO HER CAR PAYMENTS?
Answer:
Step-by-step explanAnswer: -$1465.5
Ms. Thomas pays the 'same' amount as her car loan each month through car payments.
Total amount payed at the end of the year for car loan = -$2931
Change in Ms. Thomas' savings account each month (with respect to car loan) =
-2931/12 = -$244.25
So, to to calculate the total change to Ms. Thomas's savings account balance after paying for car loan for six months, we will simply multiply one month's amount with 6:
-$244.25 x 6 = -$1465.5ation:
A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year. Previous studies show that 21% of those people (21 to 35 year olds) interviewed go to at least 3 concerts a year. The researcher wants to be accurate within 1% of the true proportion. Find the minimum sample size necessary.
Answer:
21378
Step-by-step explanation:
The confidence level is 90%, which gives us a Z of 1.645.
Our equation is (Z^2*p*q)/e^2
(1.645^2*p*(1-.21))/ (.01^2)
E is the error proportion, .01
Q is 1-p or the proportion
P is the pop you need
With this, we can solve
and get p = 21377.5975 and rounded to 21378
HURRYYYYY
What is the value of the expression 4’4?
Answer:
256
Step-by-step explanation:
Raise 4 to the power of 4
Basically, multiply 4 by itself four times. :)
In which relationship is the constant of proportionality 1/3?
help
how do you do it
find what the word is and then you put it in the Box
Headphones at the factory are packed into small boxes measuring 1/3 cubic foot. How many boxes of headphones can fill a cargo truck measuring 57 cubic feet?
The polygon is a regular nonagon (9-sides). What is the sum of the interior angles? What is the measurement for each angle?
To solve the problem we will first calculate the sum of all the interior angles.
What is the sum of all the interior angles of the n numbered polygon?The sum of all the interior angles of n numbered polygon is given as,
the sum of all the interior angles of n numbered polygon = (n-2) x 180°.
Given to us
Number of sides = 9 sides,A.) the sum of the interior angles,
Sum of the interior angles,the sum of the interior angles = (n-2) x 180°
= (9-2) x 180°
= (7) x 180°
= 1,260°
Thus, the measurement of the sum of the interior angles of a 9 sided polygon is 1260°.
B.) the measurement for each angle
The measurement for each angle[tex]\text{Measurement for each angle} = \dfrac{\text{sum of all the interior angles}}{\text{Number of sides}}[/tex]
[tex]\text{Measurement for each angle} = \dfrac{1260^o}{9}[/tex]
[tex]= 140^o[/tex]
Hence, the measurement of each angle of a 9 sided polygon is 140°.
Learn more about Interior Angles:
https://brainly.com/question/2125016
A 2-year old mice can solve a simple maze in 30 seconds on average, with a standard deviation of 2 seconds. In a recent experiment, a group of 25 2-year old mice were given the blood of younger mice to see if there is any improvement in terms of cognitive functions. These mice were observed to solve the same maze in 29 seconds. Can we say that the blood transfusion improved the cognitive functions of 2-year old mice (i.e. shorter time to solve the maze)?
Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α = 0.05, what is your conclusion?
Answer:
a)
Null Hypothesis H₀ : μ = 30
Alternative Hypothesis H₁ : μ < 30
b)
p-value = 0.0099
c)
Since 0.0099 < 0.05
Therefore, there is enough evidence to conclude that blood transfusion improved the cognitive functions of 2-year old mice.
Step-by-step explanation:
Given the data in the question,
a) State the hypotheses.
Null Hypothesis H₀ : μ = 30
Alternative Hypothesis H₁ : μ < 30
b) What is the p-value
Test statistics
t = ([tex]x^{bar}[/tex] - μ) / s/√n
t = (29 - 30) / (2/√25)
t = -1 / 0.4
t = -2.5
degree of freedom df = n-1 = 25 - 1 = 24
from table
p-value = 0.0099
c) Using α = 0.05, what is your conclusion?
p-value = 0.0099
α = 0.05
0.0099 < 0.05
So, there is enough evidence to conclude that blood transfusion improved the cognitive functions of 2-year old mice.
Convert 150 to radian measure in terms of p
Answer:
2.618 radians
Step-by-step explanation:
Kendra has 4 necklaces, 7 bracelets, and 5 rings. Draw a model to show the ratio that compares rings to bracelets
Answer: ||
Step-by-step explanation:
1st part is the rings , second is the bracelets.
since its rings TO bracelets rings have to be first.
40. There are 24 grapes on a plate of the grapes a quarter are green how many of them
grapes are green
Show the sum that you do here.
Answer:
6 are green
Step-by-step explanation:
In order to find your answer you have to find the number like 4 and divide the number by 24 and 6
Renata is reading an 800-page thriller. She reads 60 pages each day.
The formula f(n) = 740 - 60(n1) represents how many pages Renata
has left to read after n days of reading. How many pages does she
have left to read after 9 days of reading?
Answer:
[tex]f(9)=200[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 740 - 60n[/tex]
Required
Determine f(n) when n = 9
The question has been analysed in the GIVEN and REQUIRED option.
To solve further; Substitute 9 for n
[tex]f(9)=740 - 60 * 9[/tex]
[tex]f(9)=740 - 540[/tex]
[tex]f(9)=200[/tex]
The graph shows a proportional relationship between the number of workers and weekly cost, in dollars, for a company in its first year. The following year, the company spends $7,200 per 12 employees. Did the rate increase or decrease the following year?
Answer:
increase
Step-by-step explanation:
each person gets 600 out of 7200 for 12 employis
There is a bag filled with 2 blue, 4 red and 3 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
Answer:
9 to 2 = 2+4+3=9 2 picks all together you have 9 marbles and you have 2 picks this will give you a ratio of 9 to 2
PLEASE HELP ME THANK YOU :)
Answer:
y>=-11 (c)
Step-by-step explanation:
what is the value of x
Answer:
The value of x is whichever number you put in the left corner.
Step-by-step explanation:
What is the y-intercept?
(0, -5)
(0, -2)
(0, 2)
(0,4)
Answer:
0,-5
My above answer is correct hope this helps.
Answer:(0,-5)
Step-by-step explanation:
HELLPPP ASAPPP !! Will mark BRAINLIEST
Answer:
50
Step-by-step explanation:
Try being my size Amy
Answer:
Bet whats your size
Step-by-step explanation:
Answer:
...?
Step-by-step explanation:
Whoever answers correctly gets brainlist!
Answer:
8.9 = z
Step-by-step explanation:
11 = 2.1 + z - subtract the 2.1 from the 11
10. Mathew bought an aquarium worth $400 in the first week of the year. Its value depreciates by 3% per week.
What will the value of fish aquarium after 8 weeks?
Answer:
It’s 51
Step-by-step explanation:
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values, how many terms are in this geometric series?
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
Problem Solve 88 – (–35)
Given ΔFGH ~ ΔLMN, which must be true? Select all that apply.
please help me with these problems. This is not multiple choice. Part 3
9514 1404 393
Answer:
5. 8 ft
6. y = 47x +110; 533 students in 2019
Step-by-step explanation:
4. Answered for you previously. See https://brainly.com/question/21087377.
__
5.
Given:
triangular garden with base 7 ft and area 28 ft^2
Find:
height of the triangle
Solution:
The formula for the area of a triangle is ...
A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height
Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.
h = 2A/b
We can let h represent the height, and fill in the given data.
h = 2(28 ft^2)/(7 ft)
h = 8 ft
The height of the triangle is 8 feet.
__
6.
Given:
(0, 110), (5, 345) . . . . . where the points represent ...
(years after 2010, students using the hotline)
Find:
a linear model for the data
the number of students predicted for 2019
Solution:
The 2-point form of the equation for a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...
y = (345 -110)/(5 -0)(x -0) +110
y = 47x +110 . . . . the linear model, where ...
y is the number of students using the hotline
x is the number of years after 2010
__
In 2019, x = 9, so y = ...
y = 47(9) +110 = 423 +110 = 533
The number of students predicted to use the hotline in 2019 is 533.
Answer:
Q4. 2.5 milesQ5. 8 ftQ6. 533 studentsStep-by-step explanation:
Q4
Tom's speed upstream would be:
8 - 3 = 5 mph as he is moving against the currentThe distance traveled in 30 min:
30 min = 1/2 h5 mph*1/2 h = 2.5 milesQ5
Triangle area formula:
A = 1/2bhA and b given, substitute values to find the value of h:
28 = 1/2*7hh = 28*2/7h = 8 ftQ6
Change in number of students over 5 years:
345 - 110 = 235Rate of change per year:
235/5 = 47Predicted number of students in 2019
345 + 47*(2019 - 2015) = 345 + 47*4 = 533 studentsThere are 48 students going on a field trip and 1/4 are girls how many boys are going on the field trip? In tape diagram
Answer:
3/4 or 75% are boys
Step-by-step explanation:
. Write 3.476 x 1011 in standard notation.
Answer: 347,600,000,000
Step-by-step explanation: You have to move the decimal 11 places. After you move it behind the 6 to get the number 3,476, you have to move it 8 more times because 11-3 is 8. So you add 8 zeros
the equation of the line is
What type of learners do we have
Answer:
Down below
Step-by-step explanation:
Visual learners
Auditory learners
Kinesthetic learners
Reading learners
Writing learners
What is the unit rate for 1/2 pound : 5 days
Answer:
10 per day
Step-by-step explanation:
Answer:
. 10 per day
Step-by-step explanation:
