A company ships gift baskets that contain apples and pears the distributions of weight for the apples the pears and baskets are each approximately normal with mean and standard deviation for each distribution as shown in the table below the way to the items are assumed independent let the random variable W represent the total weight for apple six pairs in one basket which of the following is closest standard deviation of W
Answers
Answer:
1.97
Step-by-step explanation:
Following are the solution to the given points:
Assume A, P, and B is the masses of apples, pears, and basket, respectively.
[tex]\to W = 4A + 6P + B[/tex]
Calculating the mean of W:
[tex]\to \bold{W = E(W) }[/tex]
[tex]\bold{= E(4A + 6P + B)} \\\\ \bold{= 4E(A) + 6E(P) + E(B)}\\\\\bold{= 4 \times 4.72 + 6 \times 5.41 + 13.52} \\\\ \bold{= 18.88 + 32.46 + 13.52} \\\\ \bold{= 64.86 }[/tex]
Calculating the variance of W:
[tex]\to \bold{W=Var(W)}\\\\[/tex]
[tex]\bold{= Var(4A + 6P + B)}\\\\ \bold{= 42 Var(A) + 62 Var(P) + Var(B)}\\\\\bold{= 16 \times 0.22 + 36 \times 0.182 + 1.882}\\\\ \bold{= 3.52 + 6.552 + 1.882}\\\\ \bold{= 5.3408}[/tex]
Calculating the standard deviation of W:
[tex]\to \bold{W= \sqrt{5.3408}= 2.311017}[/tex]
The linear combination of Normal random variables is known to follow the normal distribution.
[tex]\to \bold{W \sim N(64.86 , 2.311017)}[/tex]
Calculating the Probability of the Total Weight is more difficult.[tex]\to \bold{67 = P(W > 67)}[/tex]
[tex]\bold{= P[ Z > \frac{(67 - 64.86)}{ 2.311017}]}\\\\\bold{= P[Z > 0.93]}\\\\\bold{= 0.1762}[/tex] (Using Standard Normal distribution)
Therefore, the final answer is "64.86, 2.311017, and 0.1762".
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Related Questions
please help if u can!!
The entry fee to a fun park is $20. Jackson spent a total of 35 at the park. If z represents the number of rides jackson went on, which equation represents the situation and what is the value of z that makes the equation true?
A= 2.50=35
x=14
B= 2.50z=20
x=8
C= 20z+2.50=35
c=2
D= 20+2.50z=35
x=6
Answers
Answer: The answer is d.
Step-by-step explanation:
If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6
Examine the graph.
Select each interval where the graph is decreasing.
a.−4b. 3c.2d.−1
Answers
Samuel's heart rate is 66 beats per minute. If this is his average heart rate, how
many times will it beat in 27 years? *
12
Answers
Answer:
28098576000
Step-by-step explanation:
I NEED HELP ASAP PLZZZ
Above, a right triangle is removed from a rectangle. What is the area of the remaining figure?
o 18 in?
31 in
87 in?
96 in
Answers
Answer:
87
Step-by-step
length x width=area
12*8=96-9=87
Two spoiled dogs eat a total of 18 treats in a certain amount of time. How many spoiled dogs will eat 72 treats in the same amount of time, assuming each dog eats treats at the same time
Answers
Answer:
8 spoiled dogs can eat 72 treats
Step-by-step explanation:
Answer:
8 spoiled dogs
Step-by-step explanation:
2 spoiled dogs = 18 eaten treats
18 eaten treats x 4 =72 eaten treats
2 spoiled dogs x 4 = 8 spoiled dogs
what is the awnser to y=3/2x-1
Answers
Answer:
On a coordinate graph, make a point at (0, -1)
Move the point up 3 units and right 2 units, and make another point. Continue across the plane and draw the line connecting the dots.
Answer:
Step-by-step explanation:
Jacob has a coin and a spinner with 3 equal sections, one colored red, one colored blue, and one colored green. Which tree diagram best represents all possible outcomes of Jacob spins the spinner once and flips the coin once?
Answers
Answer:5y
Step-by-step explanation:
67
Hey how you have a good day !! XD
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answers
Answer:
28x−6
Step-by-step explanation:
Okay 2 sides of equal lenght so
2(6x-4)+2(8x+1)=
12x-8+16x+2
28x-6
The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answers
Answer:
9x-9
Step-by-step explanation:
the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution
examples: 9x+1, -9x-8, 10x+3, 12x . . .
Answer:d
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
Answers
Explanation:
According to 30-60-90 triangle rule:
The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2
Find the midpoint of points A(-3,7) and B(-6,0) graphically.
Answers
Answer:
satingin ko po at B I not sure
Step-by-step explanation:
i hope it help
HURRY PLEASE IM TIMED. Which list of numbers is shown on the number line below? A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2. Negative 2.5, 1 and three-fourths, 50 percent, 1.5 Negative 2.5, negative 1 and one-third, 50 percent, 1.5 Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5 Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Answers
Answer:
It is A The first one
Step-by-step explanation:
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Pls Mark Brainliest
Answer:
d
Step-by-step explanation:
At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596
Answers
Answer:
b
Step-by-step explanation:
Answer:
b he is your answer dear friend
A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answers
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answers
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
help please! nobody has been answering my questions :( !!!!!!
Answers
What is |9|?
-18
-9
9
18
Answers
Answer:
the true answer is 9
Step-by-step explanation:
Because the product of the absolute value is the same number and positive
How are the ordered pair (4,9) and (4,-9) similar, and how are they different?
Answers
Answer:
Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answers
Then we divide by 6 on both sides to get our answer as 12=x
Hope this helped, ask me if you are confused by anything that I just said.
1. What is the best estimate for the
product of 37 and 19?
Answers
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
2x {3x [40 - (I0 x 2)]} = ?
Answers
the answer its 120 hope helps you
Simplify -2 1/9 - (-4 1/9)
1)
2 2/9
2)
-6 4/9
3)
-2 2/9
4)
6 4/9
Answers
Answer:
2
Step-by-step explanation:
The easiest thing is to convert it to an improper fraction.
-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.
-19/9 - (-37/9) here you would add because you are subtracting a negative number.
-19/9 + 37/9 change it to positive and then add.
-19+37=18
it was 18/9. that simplified is 2.
help now i will mark brainly
Answers
Answer:
6. 928 R 3
7. 4/6
8. 2/8
Step-by-step explanation:
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answers
Answer:
length is 13.6m
width is 2.72m
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft
Answers
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answers
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ7
plz help thanks . uh idk what to write but it’s making me write
Answers
Answer:
A, 4, -1
It's reflected over the y-axis, so it goes to the right side.
Answer:
a (4,-1)
Step-by-step explanation:
A is the answer.
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answers
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
A tailor has a glass jars on a shelf.
Each jar holds 242 buttons. How many
buttons does the tailor have in all?
A 1,868
B) 1,800
C) 2,360
D) 2,178
Answers
Answer: D.
Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.
IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answers
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24