Answer:
the maximum number of containers that the ship can load is 170
Step-by-step explanation:
Given the data in the question;
W ~ N( 600, 60 )
S ~ N( 4n, 0.4√n )
so
p( W > S ) = 0.90
⇒ P( W - S > 0) = 0.9 ------ let this be equation 1
now, since W and S are independent
Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n
and
SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)
hence;
W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )
now, from equation one, P( W - S > 0) = 0.9
[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]
from z- table
[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]
[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2
now, we square both sides of equation 2
[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]
[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]
we cross multiply
16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )
16n² + 360000 - 4800n = 5916.6864 + 0.26296384n
16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0
16n² + 354083.3136 - 4800.26296384n = 0
16n² - 4800.26296384n + 354083.3136 = 0
solving the quadratic equation, we know that;
x = -b±√( b² - 4ac ) / 2a
so we substitute
x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]
x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32
x = [ 4800.26296384 ±√(381192.4516) ] / 32
x = [ 4800.26296384 ± 617.4078 ] / 32
Hence;
x = [ 4800.26296384 - 617.4078 ] / 32 or [ 4800.26296384 + 617.4078 ] / 32
x = 131 or 170
Therefore, the maximum number of containers that the ship can load is 170
Find the mode of the data set. 46, 44, 49, 54, 51, 50, 47, 41, 47, 51, 51, 40, 53, 50, 52, 53
Answer:
51
Step-by-step explanation:
To find the mode of a data set, you must order the data set from least to greatest and find out which number appears the most. For example, I ordered the data set in this example, and found the out that 51 appeared the most.
Hurry plsss Plsssss
Which of the following describes the data set?
50, 59, 60, 61, 70, 76, 80
O A. Minimum = 80
First quartile = 60
Median = 60.5
Third quartile = 59
Maximum = 50
B. Minimum = 50
First quartile = 59
Median = 61
Third quartile = 76
Maximum = 80
O C. Minimum = 50
First quartile = 80
Median = 73
Third quartile = 60
Answer:
B is the correct answer as it qualifies for all the answers correctly.
Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45
/please help\
Answer:
B) 50
Step-by-step explanation:
min = 38
quartile 1 = 45
median = 50
quartile 3 = 67
maximum = 75
PLS HELP NEED THIS IN AN HOUR PLS NO LINKS
Write an equation to find the width of the rectangular prism. Show your work.
Answer:
the equation is W=V / ( L×H)
note write it as a fraction V in neomarater and L×W in denomenator
Step-by-step explanation:
V=L×W×H
6336=18×16×W
W×288=6336
W=6336 ÷288
W=22 cm
9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)
Answer:
3(x+2)
Step-by-step explanation:
3x+6
Factor out 3.
3(x+2)
Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?
Answer:
(0, -7)
Step-by-step explanation:
Since -4x is the slope, then -7 is the y-intercept.
For finding y intercept we substitute x=0
y = -7
The ordered pair would be
(0,-7)
hope this helps and is right. p.s. i really need brainliest :)
14x1/2 consider the expression
Answer: 7
Step-by-step explanation:
14*1=14
14/2=7
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 5m and a radius of 3m. The container will be made from steel (including its top and bottom). If the steel costs $24 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent.
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
A fitness instructor measured the heart rates of the participants in a yoga class at the conclusion of the class. The data is summarized in the histogram to the right. There were fifteen people who participated in the class between the ages of 25 and 45. Use the histogram to answer the question. What is the approximate percentage of participants that had a heart rate less than 130 bpm?
Answer and Explanation:
Please find full question attached
From the bar chart, we can see that the the interval 130-150 has two bars in it:
Interval 130-140 with the highest frequency of 5
Interval 140-150 with frequency of 2
Therefore to find the percentage between 130-150 we add up the frequencies 2+5=7 and divide by the total frequency of 15 people all multiplied by 100
=7/15×100= 46.67%
Percentage of participants with heart rate between 130 and 150 =46.67%
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
ang(HIK) AND ang(GFD)
find area and perimeter
Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
Step-by-step explanation:
Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?
Answer:
1 Tyler=12in³
3 Tyler =12×3=36in³
Witch value of x makes this equation true 2(2x - 4) + 4=12
A) 3
B) 4
C) 5
D) 6
Answer:
X=4
Step-by-step explanation:
2(2x-4)+4=12
4x-8+4=12
4x-4=12
4x-4+4=12+4
4x=16
x=4
Need help thanks don’t understand
Answer:
You need help with what-?
Answer plz due in a few min
Answer:
40
Step-by-step explanation:
24^2+32^2=c^2
square root of 1600 is 40
Answer:40
Step-by-step explanation:Because
a^2 + b^2=c^2
what is y=mx+b solve for x
Answer:
equation of a line
Step-by-step explanation:
Answer:
Formula used during line equations
Write the first six terms of the arithmetic sequence with the given first term, , and common difference, d.
9514 1404 393
Answer:
340, 250, 160, 70, -20, -110
Step-by-step explanation:
The first term is given. Each successive term is found by adding the common difference to the one before.
[tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]
Mr Lim, who is in Singapore, wants to make a phone call to his client in
Chicago. The local time in Chicago is 14 h behind the local time in Singapore.
If Mr Lim wants to call his client at 7 a.m. (Chicago local time), at what time
(Singapore local time) must he make the call?
Answer:
5pm
........................
Mr. Lim has to make calls at 5:00 pm if he wants to talk with his client at 7:00 AM in Chicago due to the different time zone.
What are Time Zones?A time zone is any place that observes the same standard time. For current time zones around the world, see the interactive Time Zone Map.
Given, Mr. Lim, who is in Singapore, wants to make a phone call to his client in Chicago. The local time in Chicago is 14 h behind the local time in Singapore. If Mr. Lim wants to call his client at 7 a.m. (Chicago local time)
Since there is a time difference between the two countries. Mr. Lim has to make calls 14 hours before as per the local time zone
14 hours before 7 AM is 5: 00 PM.
Therefore, Due to the time difference, Mr. Lim must make calls at 5:00 p.m. if he wishes to speak with his client at 7:00 a.m. in Chicago.
Learn more about time zones here:
https://brainly.com/question/3818424
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Find the distance between the pair of points (-1, 4) and (-3, 7)
no links
Answer: d=sqrt(13)=3.605
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x2,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=-1 ,y=4 ,x2=-3,y2=7
d=sqrt((-3+1)^2+ (7-4)^2)
d=sqrt((-2)^2+(3)^2)
d=sqrt(4+9)
d=sqrt(13)=3.605
Plz help me! Well mark brainliest if correct!
Answer:
diameter you are learning that the circle as a line in the middle goes across and the diameter
[tex]\sqrt[3]{32}[/tex]
Answer:
2[tex]\sqrt[3]{4}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{8}[/tex]·[tex]\sqrt[3]{4}[/tex] = [tex]\sqrt[3]{2^3}[/tex] · [tex]\sqrt[3]{4}[/tex] = 2 [tex]\sqrt[3]{4}[/tex]
the probability that sandra gets a ride to work on any morning is 0.7. the probability that she gets a ride 3 times in a 5-day week is , abd the probability that she gets a ride at least 2 times in a 5-day workweek is .
Answer: 0.309, 0.969.
Step-by-step explanation: plato answer
What's another name for qualitative variables?
Answer:
A qualitative variable, also called a categorical variable, is a variable that isn't numerical.
Which ratio represents cos x in the triangle to the right ?
Answer: 45/53
Step-by-step explanation:
CAH is Adjacent over Hypotenuse
PLS ANSWER FAST WILL GIVE BRANLIEST
Answer:
m<RTS=63
m<PTQ=27
Step-by-step explanation:
8x-17=5x+13
x=10
5(10)+13=63
8(10)-17=63
<RTQ=<UTQ
90-63=27
What is happening at A?
Answer:
the last one
In the given figure, what is the sum of the angles at A, B, C, D, and E? I'll mark brainliest for correct answer. NO LINKS OR USING FOR POINTS OR ILL REPORT U.
the answer is 900
Step-by-step explanation:
180= the sum of the angles in a triangle
five triangles, just multiply them
please help im am really stuck on this
Answer:
-81,-294
Step-by-step explanation:
-36-27-18
=-81
-117-98-79
=-294
please mark as brainliest
mrs .velazco gave her students four options to choose from for the class project
Answer:
Step-by-step explanation:
what are the options
7-3 Multiplying Binomials
Write a polynomial in standard form for the volume of the rectangular prism shown.
5x+1
3x - 4
X+2
Answer:
Step-by-step explanation:
Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)
Volume of the rectangular prism = length *width * height
= (5x + 1) (3x -4)(x +2)
= [ 5x*3x + 5x*(-4) + 1*3x + 1*(-4) ] (x + 2)
= [15x² - 20x + 3x - 4] (x +2) {Combine like terms}
= [15x² - 17x - 4] (x + 2)
=[15x² -17x - 4]*(x) + [15x² - 17x -4]*2
= [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2 - 4*2
= 15x³ - 17x² - 4x + 30x² - 34x - 8
= 15x³ - 17x² + 30x² - 4x - 34x - 8 {Combine like terms}
= 15x³ + 13x² - 38x - 8