Answers
Related Questions
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
Answers
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
What is the slope of the line that passes through the points (−10,0) and (-13, 3)?
Answers
Answer:
-1
Step-by-step explanation:
To find slope
m=y2-y1
--------
x2-x1
m= 3-0
-----
-13-(-10)
m= 3
---
-3
m=-1
imagine you have to hunt find food to eat what kind of food will you find
Answers
Answer:
deer
Step-by-step explanation:
Answer:
hmm...wild dear and plants
Tara was 50 feet below the surface of the ocean. She then swam up 20
feet. Which integer represents her starting depth?
Answers
Answer:
The starting depth and your integer is -50 since she started below the surface.
PLEASE HELP ME ITS URGENT
Just the first one
Answers
Answer:
m=-1/3
Step-by-step explanation:
PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
Answers
Answer:
it should be 4.5
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?
Answers
Answer:
Ms. Sunshine needs to make 62.5 cookies.
Step-by-step explanation:
25 * 2.5 = 62.5
Which graph does NOT represent a function?
A)
A
B)
B
C)
С
D)
D
Answers
Answer:
(B)
Step-by-step explanation:
it is an undefined
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?
Answers
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
Help with this problem (20 points)
Answers
Answer:
what problem? i dont see it
please help me :(((((
Answers
Answer:
,hbdgyhy6jyiwci7oygiuhopuoyiudysrtaehsyrdutfihipj
Step-by-step explanation:
yugd oufygp8iuhyefyif hovujm
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?
Answers
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:
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)?
Answers
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.
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answers
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.
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
Answers
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
The sum of two numbers is 8 and
their difference is 2.
Answers
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
please
help i’ve been stuck on
this all day
Answers
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
chooseeeeeeeeeeeeeeeee oneeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz and explain
Answers
Answer:
Step-by-step explanation:
Jose is right because the two angles are coresponding angles that are congruent
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.
Answers
Answer:
no problem glad to help
What was Madame de Soto’s motive for intervening?
Answers
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:
Marty worked 19.5 hours last week. He earns $8.50 per hour. What were Marty’s earnings last week?
Answers
Answer:
Step-by-step explanation:
Marty's earnings = 8.50 x 19.5 = 165.75
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
Answers
Answer:
D
Step-by-step explanation:
100% true
Answer:
It is D
Step-by-step explanation:
Find the hypotenuse of a right triangle with a side of 6 and a side of 8.
(ONLY put the number of your answer.) *
Answers
Answer:
10 (can't just write a number bcs i couldn't send yoy if i won't write something else)
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answers
Answer: 14[tex]x^{2}[/tex] − 16x − 6
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 .
Answers
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
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
Answers
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
Write an expression in simplest form that represents the area of the banner
Answers
Answer:
Can I have a picture so I can give you one
Step-by-step explanation:
thank you
How are rates ratios and proportions used in careers in the medical field
Answers
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
Can someone help me find the area of the triangle
please!!!
Answers
Answer:
18
Step-by-step explanation:
Find the slope of the line that passes through the points (5,2) and (6,10). *
Answers
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.
