Ratios can be divided into part-to-part ratios and part-to-whole ratios. Part-to-part ratios provide the relationship between two distinct groups
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
Learn more:
https://brainly.com/question/16943601
PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answer:
it should be 4.5
Step-by-step explanation:
Find the slope of the line that passes through the points (5,2) and (6,10). *
Answer:
8
Step-by-step explanation:
[tex] \frac{10 - 2}{6 - 5} = 8[/tex]
Answer:
The slope of the line is 8
Step-by-step explanation:
Use this formula for calculating the slope with two points:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(5,2) = ([tex]x_{1}[/tex],[tex]y_{1}[/tex])
(6,10) = ([tex]x_{2}, y_{2}[/tex])
Substitute the points into the equation
10 - 2 = 8
-------- --- = 8
6 - 5 = 1
So the slope would be 8.
There are 720 dishes that need to be rinsed. Brian can rinse them in 72 minutes by himself. It will take his friend Boris 144 minutes to rinse these dishes. How
long will it take them itthey rinse these 720 dishes together?
minutes
Answer:
It will take both of them 48 minutes to rinse all the dishes.
Step-by-step explanation:
Brian can do 720/72 = 10 dishes per minute.
Boris can do 720/144 = 5 dishes per minute
Together, they do 15 dishes per minute
720/15 = 48 minutes
Tara was 50 feet below the surface of the ocean. She then swam up 20
feet. Which integer represents her starting depth?
Answer:
The starting depth and your integer is -50 since she started below the surface.
Liam is a rewards member at a local restaurant. He can buy four tacos at regular price and get 5.50 off of his purchase. Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total. What would the taco price x need to be in order for Liam and Zachary to spend the same amount?
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.
There is no price of the taco that makes that both of them spend the same.
Liam and Zachary buy tacos at the same place. Let "x" be the price of each taco and "y" be the total amount spent.
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase.
We can represent the situation through the following linear equation.
y = 4x - 5.50 [1]
Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total.
We can represent the situation through the following linear equation.
y = 3x - 6.50 [2]
We want to know the prices of the taco so that both of them spend the same amount.
We calculate it making [1] equal to [2].
4x - 5.50 = 3x - 6.50
4x - 3x = -6.50 + 5.50
x = -1.00
The taco would have cost -1.00 for both of them to spend the same. Since in reality, this is unlikely, we can say that there is no price of the taco that makes that both of them spend the same.
Liam can buy 4 tacos at regular price and get 5.50 off of his purchase while Zachary can buy 3 tacos at regular price and get 6.50 off his total.
There is no price of the taco that makes that both of them spend the same.
Learn more about linear equations here: https://brainly.com/question/2263981
What is the slope of the line that passes through the points (−10,0) and (-13, 3)?
Answer:
-1
Step-by-step explanation:
To find slope
m=y2-y1
--------
x2-x1
m= 3-0
-----
-13-(-10)
m= 3
---
-3
m=-1
The sum of two numbers is 8 and
their difference is 2.
Answer:
The numbers are 3 and 5.
Step-by-step explanation:
Hope that helped.
Also can I please have Brainliest?
Only if I'm right of course
What was Madame de Soto’s motive for intervening?
Answer:
On May 21, 1541, the Spaniards saw for the first time the Mississippi River, the “Father of the Water” south of Memphis, Tennessee. They crossed the river and made their way through Arkansas and Louisiana. Then, early in 1542, de Soto turned back to the Mississippi River
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Ms. Sunshine is going to bake cookies for her students. She wants each student to receive 2.5 cookies. If she has 25 students in her class, how many cookies does she need to bake?
Answer:
Ms. Sunshine needs to make 62.5 cookies.
Step-by-step explanation:
25 * 2.5 = 62.5
kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.
What is the airplane's unit rate of speed in miles per hour?
Answer:
450 miles per hour
Step-by-step explanation:
Kelly flies at a distance of 2,100 miles
The time taken for the trip is 4 2/3 hours
Therefore the rate of speed can be calculated as follows
= 2,100 ÷ 4 2/3
= 2,100 ÷ 14/3
= 2100 × 3/14
= 150 × 3
= 450 miles per hour
Answer:
450
Step-by-step explanation:
7. What is the equation of the line that passes through (-1, -4) and (0,5)?
A.) y = 9x + 5 B.) y = 5x + 9 C.) y = -9x + 5 D.) y = -5x + 9 E.) none of these
1
Answer:
A)y=9x+5
Step-by-step explanation:
If x=-1, y=-4,
y=9*-1+5=(-9)+5=-4
If x=0, y=5,
y=9*0+5=5
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answer:
D
Step-by-step explanation:
100% true
Answer:
It is D
Step-by-step explanation:
please
help i’ve been stuck on
this all day
Answer:
CPB
Step-by-step explanation:
acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees
Answer: The answer is CPB
Problems 4 (a and b), 6 (a,b, and c), 7 (a,b, and c), 8, and 9 (a,b, and c) Thank you so much!
For real help on this, people will receive more points to prevent point stealing.
Answer:
no problem glad to help
Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?
Answer:
Step-by-step explanation:
Marty's earnings = 8.50 x 19.5 = 165.75
Write an expression in simplest form that represents the area of the banner
Answer:
Can I have a picture so I can give you one
Step-by-step explanation:
thank you
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
Required:
a. Determine the mean of X.
b. Determine the variance of X
c. What is P(X < 3.7)?
Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
[tex]\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75[/tex]
(b)
Compute the variance of X as follows:
[tex]\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083[/tex]
(c)
Compute the value of P(X < 3.7) as follows:
[tex]P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898[/tex]
Thus, the value of P(X < 3.7) is 0.4898.
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answer: 14[tex]x^{2}[/tex] − 16x − 6
Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D
Answer:
(B)
Step-by-step explanation:
it is an undefined
Find the hypotenuse of a right triangle with a side of 6 and a side of 8.
(ONLY put the number of your answer.) *
Answer:
10 (can't just write a number bcs i couldn't send yoy if i won't write something else)
Add preposition ...The plane landed ____the ranway.
Answer:
On
The plane landed ON the runway.
Step-by-step explanation:
A preposition is a word that shows the relationship of a noun or pronoun with another word.
For example, in this sentence the noun is plane and we need to connect it with runway.
And on is the answer that makes the most sense.
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation Ï =20 . Find the probability that a randomly selected adult has an IQ between 85 and 125 .
Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
Help with this problem (20 points)
Answer:
what problem? i dont see it
imagine you have to hunt find food to eat what kind of food will you find
Answer:
deer
Step-by-step explanation:
Answer:
hmm...wild dear and plants
PLEASE HELP ME ITS URGENT
Just the first one
Answer:
m=-1/3
Step-by-step explanation:
Can someone help me find the area of the triangle
please!!!
Answer:
18
Step-by-step explanation:
please help me :(((((
Answer:
,hbdgyhy6jyiwci7oygiuhopuoyiudysrtaehsyrdutfihipj
Step-by-step explanation:
yugd oufygp8iuhyefyif hovujm
A random sample of 5 homes in Newberry, Florida had a mean of $169,900 and a standard deviation of $21,756. Construct a 95% confidence interval for the average home of this size in Newberry.
A. (144885.25, 194914.75).
B. (150440.842, 189359.16).
C. (150830, 188969.98).
D. (142886, 196914).
Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.
In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 169900[/tex].The sample standard deviation is [tex]s = 21756[/tex].The sample size is [tex]n = 5[/tex]First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.
Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.
The margin of error is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In this case:
[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].
[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].
Thus, the correct option is D. (142886, 196914).
A similar problem is given at https://brainly.com/question/15180581
