Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:
- Each half-bushel is sold for $40.
- It will cost $15 of gas to drive the route.
Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.
(a) Calculate the orchard owner’s expected profit from driving the route.
(b) Calculate the standard deviation of the profit from driving the route.
Answer:
a) The orchard owner's expected profit from driving the route is $33.
b) The standard deviation of the profit is $27.28
Step-by-step explanation:
a) Data and Calculations:
Apples to sell = 4 half-bushels
Price of each half-bushel sold = $40
Sales revenue = $160 ($40 *4)
Cost of driving the route = $15
Expected values:
Event Probability Revenue Profit Expected Profit
No Sales 40% $0 ($15) ($0 - $15) ($6.00)
Selling 1 half-bushel 30% $40 $25 ($40 - $15) $7.50
Selling 2 half-bushels 10% $80 $65 ($80 - $15) $6.50
Selling 3 half-bushels 10% $120 $105 ($120 - $15) $10.50
Selling 4 half-bushels 10% $160 $145 ($160 - $15) $14.50
Total expected profit = $33
Event Expected Profit Mean Squared
Difference
No Sales ($6.00) -39 1,521
Selling 1 half-bushel $7.50 -25.5 650.25
Selling 2 half-bushels $6.50 -26.5 702.25
Selling 3 half-bushels $10.50 -22.50 506.25
Selling 4 half-bushels $14.50 -18.50 342.25
Sum of squared differences 3,722
Mean of squared differences = 744.4 (3,722/5)
Standard deviation = square root of the mean
= 27.28
= $27.28
Calculate Valume of cones and spheres
Answer:
v = 1808,64cm³
Step-by-step explanation:
big cone:
a = pi.r²
a = 3,14x12²
a = 452,16cm²
v = a.h/3
v = 452,16x12/3
v = 1808,64cm³ (that's a three)
you got the point, now you can do the others... kinda of
PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?
Answer/Step-by-step explanation:
✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.
✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.
✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.
✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.
Which statement best describes the relationship between inherited traits and genes
Answer:
options please
Step-by-step explanation:
Find the value of x.
930
45°
X=
help please
Answer:
45 Degrees
Step-by-step explanation:
Compare to its other side
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a) compute the z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
(b) determine the quartiles.
(c) compute and interpret the interquartile range, iqr.
(d) determine the lower and upper fences. are there anyoutliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the z-score corresponding to the individual is
and indicates that the data value is
standard deviation(s) the
the table is for the entire problem.
Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
WHats 100000000000000 x 1000000000000000000000
Answer:
1e+35
Step-by-step explanation:
For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _
Answer:
c
Step-by-step explanation:
identify the variables in 3a+7b(c-8)
George buys 1.5 pounds of apples, 2.7 pounds of
oranges, and 1.9 pounds of grapes. How much
change does he get from a $10 bill?
Answer:
aaaaaaaaaaaaaa2rdfdggggdfgdgv
Step-by-step explanation:
can u pls help me with this question
Answer:
c
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
Hiiii I really need helppppp pls pls
Step-by-step explanation:
sas
side angle side
mark me as brainliest
Please help!
Nika baked three loaves of zucchini bread. Each loaf needed StartFraction 17 over 4 EndFraction cups of flour. Which expression shows the best estimate of the number of cups of flour that Nika used? 4 + 4 + 4 = 12 5 + 5 + 5 = 15 4 + 4 + 4 = 16 17 + 17 + 17 = 51
Answer:
4+4+4=12
Step-by-step explanation:
Each cake needs cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:
4 + 4 + 4 = 12
Answer:
Step-by-step explanation:
Nika baked three loaves of zucchini bread.
Each bread needed 17/4
17/4 simplified as a decimal is 4.25 or as a fraction 4/25
Answer 3
4 + 4 + 4 = 16
Why? Because 4/25 is NOT gonna be a whole number.
25/25 = 1.
So, saying that I picked the 3rd answer because 16 is closer to 25.
16 is over 4 so we have to look at the next place value. And 51 is more than 25.
A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
Answer:
a) 9676.1053731 rad/min
b) 1540 rpm
Step-by-step explanation:
A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
truck with 30-in.-diameter wheels is traveling at 70 mi/h.
---------
1 mile per hour = 88 feet per minute
70 mi/hr = 6160ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
-------------
Each revolution = pi*d feet = 4pi feet
rpm = 6160 ft/min / 4pi feet = 990/pi rpm
=~ 1540 rpm
---------------
(a) Find the angular speed of the wheels in rad/min.
rad/min
-------------
rad/min = rpm*2*pi
= 1540 rpm × 2× π
= 9676.1053731 rad/min
I will mark Brainliest What is the length of AB
The factors of a number are given below: 2, 4, 5, 8, 10, 16, 20, 40. What is the number?
Answer:
the answer would be 80 because it is divisible with all the numbers shown above
A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
Answer:
about 5.8cm
Step-by-step explanation:
A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.
Answer:
The measure of the center angle is 0.6 radians
Step-by-step explanation:
Mathematically, the length of an arc can be calculated using;
L = theta/360 * 2 * pi * r
where theta is the central angle
In this case, theta = ? , pi = 22/7 and r is 13
cm, length of arc is 8 cm
So we have ;
8 = theta/360 * 2 * pi * 13
360 * 7 * 8 = theta * 2 * 22 * 13
20,160 = 572 theta
theta = 20,160/572
theta = 35.24
let us convert this to radian measure
Mathematically, 1 degree = 0.0175 radian
Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians
To the nearest tenth, this is 0.6 radians
Which statement best describes a ratio
Answer: Where are the options?
Step-by-step explanation:
Rewrite the function by completing the square.
h(x) = 4x2 + 4x + 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]h(x) = 4 {x}^{2} + 4x + 1 [/tex]
[tex]h(x) = ({2x + 1})^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the slope of the linear function that
models the data in the table?
Answer:1.2
Step-by-step explanation:divide 198 by 165
Answer:
slope - 1.2
--------edge
It’s math can you help with number 3 please?
Answer:
25
Step-by-step explanation:
16+9
Answer:
The correct should be 25.
Step-by-step explanation:
If this is incorrect let me know and I will correct it.
PLEAD HELP ME FAST!!!!
Answer:
i can't really see to clear ..
Step-by-step explanation:
Study the equation.
y = x2 - 4x - 77
Write the equation in graphing form (vertex form).
Answer:
y=(x-2)^2-81
Step-by-step explanation:
Mr. Chavez has assets of $250,000 and liabilities of $18,000. He decides to finance the entire amount of the purchase of a car valued at $26,000. Which of the following is true? a. Mr. Chavez increased his assets. b. Mr. Chavez increased his net worth. c. Mr. Chavez increased both his assets and net worth. d. Mr. Chavez did not increase his assets or his net worth. Please select the best answer from the choices provided A B C D
Answer:
C.
Step-by-step explanation:
Answer: C. Mr Chavez increased both his assets and net worth
Step-by-step explanation: edgenu 2021
determine if the relation is a function
(-1, 5), (0,3), (2,3), (3, -1)
Answer:
This relation IS a function
Answer:
This is a function
Step-by-step explanation:
Down below none of them overlap
There is no two points in the lines.
OBX Cart Rentals has created a website for customer access. They are trying to determine a reasonably secure number of available passwords. They have decided to allow upper case letters, lower case letters, digits (0 â 9), and the three special characters: $, ! ?. Find the number of possible 6 character passwords given each of the conditions (Note: you MUST simplify completely.)
a. The password must begin with a letter (either upper or lower case)
i. repetitions permitted
ii. repetitions not permitted
b. The password must begin with a letter and end with a special character ($, !, ?):
i. repetitions permitted
ii. repetitions not permitted
Answer:
A)
i) for repetitions
there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords
ii) for Non - repetitions
there will be : 52 * 64 * 63 * 62 * 61 * 60 = 47576954880
B)
i) for repetitions
there will be : 52 * ( 65 )^4 * 3 = 2784697500
ii) for Non-repetitions
there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760
Step-by-step explanation:
Total Number of letters = 52
Number of upper case letters = 26
Number of lower case letters = 26
Number of digits ( 0 - 9 ) = 10
special characters = 3
password = 6 characters
Therefore the total number of choices = 52 + 3 + 10 = 65
A) The password must begin with a letter (either upper or lower case)
i) for repetitions
there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords
ii) for Non - repetitions
there will be : 52 * 64 * 63 * 62 * 61 * 60 = 47576954880
B) The password must begin with a letter and end with a special character ($, !, ?):
i) for repetitions
there will be : 52 * ( 65 )^4 * 3 = 2784697500
ii) for Non-repetitions
there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760
Write the phrase as an expression. Then evaluate when x = 3 and y = 15
Twice the sum of a number x and 8
Please I need this answer ASAP
Answer:
Put x then y u get x+y=15*2
Find the midpoint of the segment with the following endpoints.
(9, 1) and (5, -7)
Answer:
7;-3
Step-by-step explanation:
9+5/2 ; 1+(-7)/2
14/2 ; -6/2
7 ; -3
What is the answer to 1/3x(15+6)?
Answer:
1/3×21
=7
Step-by-step explanation:
first step: solve the barket part
second step: Solve division or multiplication which first..Follow Rule:BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction.