Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that [tex]\mu = 8, \sigma = 1.1[/tex]
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]
This probability is the pvalue of Z when X = 9.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]
[tex]Z = 2.64[/tex]
[tex]Z = 2.64[/tex] has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 9. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9 - 8}{0.4491}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation:
A rectangle is 24.6 m long and 8.65 m wide what is the area of the retangle
Answer:
212.79m
Step-by-step explanation:
A=L×W
A=24.6m×8.65m
A=212.79m
Need help please confused
Answer:
a. 11.6 (rounded to nearest tenth)
b. Yes
Step-by-step explanation:
a²+b² = c²
6²+10² = c²
36²+100 = c²
136 = c²
√136 = √c²
11.6 = c
b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.
Practice
You bought shoes for $39 that were marked 20%
off. You have to pay
9% tax. What is the total for
the shoes?
Answer: $34
Step-by-step explanation:
39 x 0.2 = 7.80, the discount
39 - 7.80 = 31.20
31.20 x 0.09 = 2.80, the tax
31.20 + 2.80 = 34
Total cost for the shoes: $34
Answer:
24.99 dollars
Step-by-step explanation:
24 is 20 percent of 39
PLEASE HELP ON ANNYY QUESTION I BEG YOU!!
ILL GIVE U THE HIGHEST RATED!!
please help me out with this
How many pairs of intersecting lines are shown?
D
a. 24
b. 16
c. 8
d. 4.
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 feet. Approximately how many square
feet of the turf need to be painted for a base circle? Use 3.14 for it and round your answer to the nearest tenth.
O 7.5 square feet
O 9.4 square feet
O 18.9 square feet
O 28.3 square feet
Answer:
28.3
Step-by-step explanation:
pi r^2 = area of circle
6/2 = radius
3.14(3)^2
28.26 -> 28.3
I NEED HELP NOW PLZ!!!
Answer:
c
Step-by-step explanation:
x=-8
y= -5
therefore y=-5
and c is the answer
I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?
Answer:
x = 48 (in degrees, I assume)
Step-by-step explanation:
Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.
In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.
The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.
Therefore, 2x + 2 = x + 50
-x - 2 = -x - 2
x = 48
PLEASE
Find the mean, median, mode, and range of the following data set.
4, 3, 2, 4, 6, 6, 4, 3, 3, 4, 5
Mean:
Median:
Mode:
Range:
Answer:
Mean: 4
Median: 4
Mode: 4
Range: 4
Hope this helps
mean: 4
median: 4
mode: 4
range: 4
2 3 3 3 4 4 4 4 5 6 6
what is the area of this square (look at the picture)
Answer:
484
Step-by-step explanation:
22 times 22
Write the following as algebraic expressions:
Joe had $100. He bought m books for n dollars each. How much money does he have left?
Which of the following best describes term response variable
The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.
The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).Learn more:
brainly.com/question/5598457
o
A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 72 feet per
second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t) = - 1612 + 72t + 8. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)
Answer:
1845 totaly i help yo to up grade
Step-by-step explanation:
im help :)
I really need help with my question
answer :
z=11
y=13
will be ur answers
HELP PLEASE!!!! 50 POINTS!!!GIVING BRAINLIEST!!
1. Elena donates some money to charity whenever she earns money as a babysitter. The table shows how much money, d, she donates for different amounts of money, m, that she earns.
a. What percent of her income does Elena donate to charity?
b.Which quantity, m or d, would be the better choice for the dependent variable in an equation describing the relationship between m and d.
PLEASE HELP!!! THANK YOU!!❤️
(a). Elena donates 12% of her income.
(b). d (amount donated) will be a better choice for the dependent variable, as it is always dependent on the income of Elena.
What is a dependent variable?You can control or set the independent variable. It affects the dependent variable, which changes as a result. The input is unrelated to the result, which is the dependent variable.
As per the given data:
money donated from money earned is given in the table.
For percent of her income donated to charity:
Total money donated / Total money earned
= (4.44 + 1.80 + 3.12 + 3.60 + 2.16) / (37 + 15 + 26 + 30 + 18)
= (15.12)/(126)
= 0.12
∴ Elena donates 12% of her income.
Hence, Elena donates 12% of her income and d (amount donated) will be a better choice for the dependent variable as it is always dependent on the income of Elena.
To learn more on dependent variable, click:
brainly.com/question/1479694
#SPJ3
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
Solve the equation x = 5/3 (pie) (r^3) for r.
Answer and Step-by-step explanation:
To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.
[tex]x = \frac{5}{3} \pi r^{3}[/tex]
Multiply each side by [tex]\frac{3}{5}[/tex], then divide by [tex]\pi[/tex] (pi)
[tex]\frac{3x}{5\pi } = r^{3}[/tex]
Now, take the cubed root of both sides.
[tex]\sqrt[3]{\frac{3x}{5\pi } } = r[/tex]
^^ That is the answer.
#teamtrees #PAW (Plant And Water)
Please help I’m completely stuck
Answer: 8x
Question 2:Answer: 12x - 3y
hope it helps.
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
i'm a little bit confused about this question.
Answer:
4
Step-by-step explanation:
I WILL GIVE BRAINLEIST PLS HELP
Answer:
the answer is $65
Step-by-step explanation:
Answer:
$70Step-by-step explanation:
ExplanationIf we reverse it we can break it down easier: We start at $935
15 dollars on every purchase, he sold 11 TVs. So we find the total amount of money, 15*11=165
935-165=770
770 is the amount left without the money he has earned so the total base.
770/11=70
Checking answerLet's rebuild it to test if it is correct...
$70 for each tv * 11 tv's = $770 or the base price of the tv's
$15 for all the warranties
$15*11=165
165+770=935
So the answer is 70$
Hopefully, this helped.
Have a great day.
Which of the following are characteristics of the cubic parent function? Select all that apply .
Answer:
A C & D
Step-step explanation:
Find the ratio created when AB is partitioned by C.
Write your ratio with a, : and do not include spaces.
Answer:
Step-by-step explanation:
From the picture attached,
Segment AB has been divided into four equal parts.
Let each part measures equal length = 1 unit
Point C is 2 units apart from both the points A and B.
Length of AC = Length of BC = 2 units
Therefore, point C will be the mid point of segment AB.
And ratio of AC and BC = 1:1
AC:BC = 1:1
Similarly, AC:AB = 2:4
= 1:2
And BC:AB = 2:4
= 1:2
Who has the better biking rate? Josh bikes 24 miles in 20 minutes and Maddie bikes 39 miles in 30 min
A) 1080°
C) 720°
B) 1800°
D) 1620
Answer:
D- I hope I helped you. Good luck.
Jack and Jill are 432 meters apart, but are walking towards each other. Joe walks at a pace of 2 meters per second, while Jill walks at a pace of 3 meters per second. After how many seconds will they meet up?
Answer:
86.4 seconds.
Step-by-step explanation:
Given that Jack and Jill are 432 meters apart, but are walking towards each other, and Joe walks at a pace of 2 meters per second, while Jill walks at a pace of 3 meters per second, to determine after how many seconds will they meet up, the following calculation must be performed:
432 / (3 + 2) = X
432/5 = X
86.4 = X
So, Jack and Jill will meet after 86.4 seconds.
please hurry! I need all of these answers really soon it's due
Hello please help me
Answer:
A
Step-by-step explanation:
its D option..........