Answer:
0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
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 z-score 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 p-value, 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.
Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.
This means that [tex]\mu = 32, \sigma = 7.5[/tex]
Sample of 34:
This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]
Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
This is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a pvalue of 0.121
0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.
What is the missing angle? Of the circle please help correct answer gets Brainlest
Answer:
3
Step-by-step explanation:
9x5=15x | 45=15x then divide 45 by 15 x=3
Which two shapes are equivalent fractions?
Answer:
B. 1 and 3
Step-by-step explanation:
What is the greatest common factor of 8, 44, and 12? explanation pls on how you got the answer
The greatest common factor( GCF) is = 4.
The greatest common factor(GCF) is the highest number that can divide 8, 44 and 12 without a reminder.
To find the GCF, first list the common factors of each figure given.
Common factors of 8 = 1, 2, 4, 8Common factors of 44 = 1, 2, 4, 11, 22, 44Common factors of 12 = 1, 2, 3, 4, 6, 12There are 3 common factors of 8, 44 and 12, that are 1, 2, and 4. Therefore, the greatest common factor of 8, 44 and 12 is 4.
Learn more here:
https://brainly.com/question/219464
Can someone help me with 9 and 10 please
Mrs. Soto is putting 3 tables together to make 1 long table with a total length of 250 centimeters. The first table has a length of 83 centimeters. The second table has a length of 0.9 meter. How many meters (m) long is the third table?
Hello. I hope this helps!
Let's set up an equation for this.
1st table = 83 cm
2nd table = 90 cm OR 0.9 m
3rd table = x
Total length = 250
Equation:
83 + 90 + x = 250
Now we'll solve the equation.
83 + 90 + x = 250
173 + x = 250
x = 250 - 173
x = 77 cm
Please read "The lost ship" on storyworks.
1)Read the headline. What does it suggest the article will be about?!?
2) Look at the photos or illustrations. Choose one to examine. What page or paragraph is it on? What does the picture show? What do you learn from the picture
3) Choose another photo or illustrations to examine. What page or paragraph is it on? what does the picture show? What do you learn from the picture and caption?
4) Does the article have map?
if yes, what place does it show?
Please help please please please please please please please please please.
Can someone help me with this question if two figures are similar but not congruent, how are they alike, and how are they different?
bboed.schoology.com/common-assessment-delivery/start/4855368165?action onresume submissionid=495621199
POSSIBLE POINTS 10
H
4x+2/78°
L
K
WHAT IS X FROM THE EQUATION 4X+2 25
WHAT DEGREES IS LKH WRITE OUT THE WORD
O
Us 18
Answer:
fefsefefdfefd
Step-by-step explanation:
efSdfse
Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular prism has a length of 10 feet, height of 9 feet and a width of 9 feet. Select the phrase and number from the drop-down menus to correctly complete each sentence. Tammy can find the volume of the storage unit by . To completely fill the storage shed, Tammy would need unit boxes that each measure 1 cubic foot.
Answer:
finding the product of 9,10,and 9
810
Step-by-step explanation:
What is the Volume of the cylinder? (no links pls!)
lol the answer is 3
can someone help me plss
match each term with its definition,
Answer:
Population-1
Sample- 2
Simulation-4
biased sample- 3
6 (x+3) < 3(2x+6)
What is x ?
Answer:
no solution
Step-by-step explanation:
6x + 18 < 6x + 18
0 < 0 is not a true statement, no solutions
A local university has just received a shipment of 200 Wacom tablets from an area vendor. The probability of an Wacom tablet being defective is estimated to be 0.10. A random sample of 25 Wacom tablets is selected for testing. If three or more defective Wacom tablets are found, the entire shipment of Wacom tablets is sent back to the vendor. Find the probability that the shipment will be sent back to the vendor.
Answer:
0.4629
Step-by-step explanation:
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Number of trials, n = 25
Probability of having defective tablet greater than 3 p(x ≥ 3) ;
p = 0.10 ;
1 - p = 1 - 0.10 = 0.90
P(x ≥ 3) = P(x = 3) + p(x = 4) +.... + p(x = 25)
Using a binomial probability calculator :
P(x ≥ 3) = 0.4629
Therefore, the probability that shipment would be sent back to the vendor is 0.4629
giving brainliest !! easy
Answer:
1664
Step-by-step explanation:
400x2+480+192x2
A computer is priced at $1575, but is on sale for 15% off. What is the price of the computer
after the discount and 7.5% sales tax?
Answer:
$1439.16
Step-by-step explanation:
1.) 15% of 1575
1575 x 0.15 = 236.25
1575 - 236.25 = 1338.75
So 15% of $1575 = $1338.75
2.) $1338.75 with sales tax if 7.5%
1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41
1338.75 + 100.41 = 1439.16
so you answer is $1439.16
4≤n−4. a little help?
Answer:
Just isolate the variable by performing inverse operations. Its like solving an equation but the sign is different.
Step-by-step explanation:
Well add 4 to both sides
8≤n
Thats basically it
Answer:
n ≥ 8
Step-by-step explanation:
We want to isolate n to solve the inequality. To do that, you add 4 to both sides, so 4 + 4 = 8 on the left and n - 4 + 4 = n on the right. That leaves you with 8 ≤ n, or n ≥ 8.
What is the quotient of 1476 and 12
Help ASAP????? Please
Answer:
C. (-5,-1)
E. (10,2)
F. (15,3)
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hope it helps...
have a great day!!
Please Help!!!
You shared a bag of fruit snacks with 4 friends. You and each of your friends got 35 or fewer fruit snacks. Solve the inequality below to find the number of fruit snacks that could be in the bag.
Answer: option 4 x < 175
x/5 < 35
multiply both sides by 5
x < 175
(i can’t do the correct symbol but you get the idea)
Step-by-step explanation:
4×=175
isgsusjisghsusgsbsihhdvejisfehsiwjgsusj
QUESTION BELOW PLEASE HELP
Answer:
61°
Step-by-step explanation:
180° - 119° = 61°
Question 8: 10 pts
Find the magnitude and direction of the vector <3,9>. Round angles to the nearest degree and other values to
the nearest tenth.
Answer:
9.5; 72˚
Step-by-step explanation:
Stephanie spent 20% of x hours at her part-time job. What is x if 20% of x is about 10 hours?
about 50 hours!
because 20 x 5 equals 100, so 5 x 10 equals 50! good luck! :)
A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually
[tex]a^{2} +b^{2} =c^{2}[/tex]
since we know a and b are the same length (sides of a square are congruent) we would have
[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]
We know that c is 14 so
[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]
Which function represents a quantity growing exponentially?
A y = 2(0.5)^x
B y = 0.5(2)^x
C y = 2(0.5)^2X
D y = (1/5)^x
Answer: [tex]ay=2(0.5^{x})[/tex]
Step-by-step explanation:
A y = 2(0.5)^x
You decide that you want new carpeting in your bedroom that measures 12 feet 6 inches wide by 15 feet 9 inches long. The price of the carpet and the underlying pad is $3.49 per square foot. You decide to upgrade to the deluxe underlying pad that costs an additional $0.62 per square foot. The fee for installation is a flat fee of $180. What is the total cost, including sales tax of 6.7%, of the carpet, pad, and installation? Round your answer to the nearest cent. Write the equation that represents the total cost.
Answer:
The total cost of the new carpeting is $ 1,055.43.
Step-by-step explanation:
Since I decide that I want new carpeting in my bedroom that measures 12 feet 6 inches wide by 15 feet 9 inches long, and the price of the carpet and the underlying pad is $ 3.49 per square foot, and I decide to upgrade to the deluxe underlying pad that costs an additional $ 0.62 per square foot, and the fee for installation is a flat fee of $ 180, to determine what is the total cost, including sales tax of 6.7%, of the carpet, pad, and installation, the following calculations must be performed:
1 inch = 0.08333 feet
6 inches = 0.08333 x 6 = 0.5
9 inches = 0.08333 x 9 = 0.75
12.5 x 15.75 = Bedroom area
196,875 square feet = Bedroom area
((196.875 x (3.49 + 0.62)) + 180) x 1.067 = Total cost
((196,875 x 4.11) + 180) x 1,067 = Total cost
(809.15625 + 180) x 1.067 = Total cost
989.15625 x 1.067 = Total cost
1,055,429 = Total cost
Therefore, the total cost of the new carpeting is $ 1,055.43.
Can someone help me pls
Which one of the following statements is true?
A. The input value is the dependent variable.
B. The input value is the independent variable.
C. The output value is the independent variable.
D. The output value can be the dependent variable or the independent variable, depending on the situation.
No links pls. Thank you for understanding (:
The input value is the independent variable. Then the correct option is B.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Let the function be y = f(x).
Then the variable x is independent but the variable y is depending on the on x.
The input value is the independent variable.
Then the correct option is B.
More about the decision-making link is given below.
https://brainly.com/question/3369578
#SPJ1
3 dollars 2 dims 3 pennies
Answer:3+3+2
Step-by-step explanation:
you first want to add the biggest numbers
3+3=6
and then you add the the least number
3+3+2=8
8 will be the answer
To the nearest square centimeter, what is the area of the circle below? Use pi = 3.14
Answer:
[tex]radius \: \: r = 5 \: cm \\ area = \pi {r}^{2} \\ = 3.14 \times (5) {}^{2} \\ = 78.5 \: {cm}^{2} [/tex]
Answer:
[tex]78.5cm^{2}[/tex]
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
[tex]A=(\pi )(5)^{2}[/tex]
[tex]A=78.5[/tex]
so I guess rounding it to 79
find the geometric mean of 9 and 14
Answer:
foće de moçhò de casà là ocoreatane
