Answer:
a) the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b) the number of reams that must be purchased is 19
Step-by-step explanation:
Given the data in the question;
Lets X₁ and X₂ be the two random variables that represents the first and second ream lasts
given that both random variables follow normal distribution with mean 4 and standard deviation 1.
a)
Find the probability that the next ream out- lasts the present one by more than 2 days.
P( X₂ - X₁ > 2 ) = P( [(X₂ - X₁ - E(X₂ - X₁)) / √(V(X₂ - X₁)] > [ (2-E(X₂ - X₁))/√(V(X₂ - X₁) ]
= 1 - P( Z ≤ [2-(μ₂ - μ₁)] / [√( V(X₂) + V(X₁) ) ] )
= 1 - P( Z ≤ [2-(4 - 4)] / [√( 1 + 1 )] )
= 1 - P = ( Z ≤ 2 / √2 )
= 1 - p( Z ≤ 1.4142 )
from excel; p( Z ≤ 1.41 ) = 0.9213
P( X₂ - X₁ > 2 ) = 1 - 0.9213
P( X₂ - X₁ > 2 ) = 0.0787
Therefore, the probability that the next ream out- lasts the present one by more than 2 days is 0.0787
b)
How many reams must be purchased if they are to last at least 60 days with probability at least 80%
total value is 4n
standard deviation is nσ
so
P(nX ≥ 60 ) = 0.80
P( nX-nμ /nσ ≥ 60-nμ/nσ) = 0.80
P( Z ≥ 60-4n/n) = 0.80
1 - P( Z ≥ 60-4n/n) = 0.80
P( Z < z ) = 0.20
now since z = 60-4n/n
from standard normal table
critical value of z corresponding to cumulative area of 0.20 is -0.841
so
z = - 0.841
60-4n/n = -0.841
60 - 4n = -0.841n
60 = -0.841n + 4n
60 = 3.159n
n = 60 / 3.159
n = 18.99 ≈ 19
Therefore, the number of reams that must be purchased is 19
Plsssss first person to do all of them gets 40 points if you don’t do all of them i will report also if you put random stuff i will report if you do it all correct i will put brainlyist and put 5 stars and a heart
Answer:
Trapezoid: [tex]31.59cm^{2}[/tex]
Square: [tex]96.04 miles^2[/tex]
Circle: [tex]314.15926535898 miles^2[/tex]
Rectangle: [tex]44.7miles^2[/tex]
Step-by-step explanation:
I labeled one of the pictures wrong, but if you look at the numbers, you should be able to tell them apart ;)
I hope I helped, and I always appreciate brainliest!!! :)
Need help on this please
Answer:
dff
Step-by-step explanation:
saf
When 3 + 3x - 5 - 8x is simplified, the result is:
OOOO
-5X - 2.
-5x - 8.
- 11x - 15.
6x - 13x.
Answer:
A
Step-by-step explanation:
I just need help with this question please
Answer:
71.286
Step-by-step explanation:
60 x .09 = 65.4
65.4 x .09 = 71.286
Answer:
$71.29
Step-by-step explanation:
$60 x 1.09 = $65.40 (year one)
$65.40 x 1.09 = $71.286 (year two)
Find the perimeter of quadrilateral ABCD. The side lengths are A (-3, 4), B (5, 4), C (5,-4), and D (-3, -4).
Answer:
32
Step-by-step explanation:
each line segment's distance is 8 (count them)
4 * 8 = 32
At arman's Co. pretzels are move from ovens to packaging in a line of 25. Every fifth pretzels is tested fir weight. Every third pretzel is tested for size, how many of the 25 pretzels are not checked or tested?
Answer:
Step-by-step explanation:
5 times 25 3 times 25 add both anwsers
13 out of 25 pretzels are not checked or tested.
Let the 25 pretzels be:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.
Every fifth pretzels is tested for weight.
Collect all the multiples of 5 till 25.
So, pretzels that are tested for weight are: 5, 10, 15, 20, 25.
Every third pretzel is tested for size
Collect all the multiples of 3 till 25.
So, pretzels that are tested for size are: 3, 6, 9, 12, 15, 18, 21, 24.
Now, pretzels that are not checked or tested are: 1, 2, 4, 7, 8, 11, 13, 14, 16, 17, 19, 22, 23.
They are 13 in number.
13 out of 25 pretzels are not checked or tested.
Learn more about multiples here:
https://brainly.com/question/12017228?referrer=searchResults
Which of the following rules represents the function shown in the table?
Answer:
I do not know
Step-by-step explanation:
plz answer the question below
Answer: i dont know about "Polygon" but if you need the area of the shape above, I would say its a "Parallelogram", then the area would be 36
Step-by-step explanation: A = B.H -> 9 x 4 = 36
Which set of ordered pairs does not represent a function?
O {(3,4),(-9,5 (-3,8),(-2,8)}
O {(5,5), (5, -9),(-1,-8), (-4, – 7)}
O{(-5, -8), (0, -4),(-8,-8), (6,6)}
o{(-1,7), (1,8), (0, -3), (-4, -3)}
Answer:
B
Step-by-step explanation:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
[tex]60x=420[/tex]
[tex]x=\dfrac{420}{60}[/tex]
[tex]x=7[/tex]
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
Jonah drives his car to and from work. The total length of the trip to and from
work is 198 miles. In
August, Jonah worked 21 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
x21
(answer)
+(answer)
(answer Jonah drove(answer)
miles in August. (no files please, i need this due today)
514.8 your welcome
All you have to do is multiply 19.8 x 26
help me pls. answer correct
Answer:
1st answer is
[tex](x.y) = ( \frac{38}{5} . \frac{2}{5} ) \\ [/tex]
2nd answer is (x, y) =(36, 45)
Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole
Answer:
It will be 78
Step-by-step explanation:
Because if you do 84 minus 6 you get 78
Jackie Chan is reviewing the total accounts receivable of his new department store in Hong Kong customers who paid with credit totaled $85,000 this month this represents 40% of our receivables do what is mr. Chan's total account receivable?
Answer:
Mr. Chan's total account receivable is of $212,500.
Step-by-step explanation:
$85,000 this month this represents 40% of our receivables
This means that 85000 is 40% = 0.4 of the receivables, which is x.
What is mr. Chan's total account receivable?
We have to find x
[tex]0.4x = 85000[/tex]
[tex]x = \frac{85000}{0.4}[/tex]
[tex]x = 212500[/tex]
Mr. Chan's total account receivable is of $212,500.
23=5-2/3d then what is the value of 6d?
Answer:
-162
Step-by-step explanation:
23=5-2/3d
2/3d=-18
d= -27
6d= 6* -27
6d= -162
What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o
Answer:
3 units :D
Step-by-step explanation:
please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!
Answer:
D)x=4,y=7Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:according to the question
[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]
[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]
[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]
[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]
[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]
I'll give points and brainalist for answer / explanation
Answer:
C
The perimeter of a square is the measure around it [ the square ]. The circumference of a circle is finding the distance/finding the measure of the distance around a circle.
Hope that helps! :)
Which number is a rational number?
36
16
6
6
36
6
16
Answer:
√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational
Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1
Answer:
1,0
8/15,-7/25
Step-by-step explanation:
3x - 5y = 3
5y = 3x-3
y = (3x-3)/5
y= 3x² -4x +1
or, (3x-3)/5 = 3x²-4x +1
or, 3x-3 = 15x²-20x+5
or, 15x² - 23x +8 =0
or, 15x² - (15+8)x +8 =0
or, 15x² - 15x -8x +8 = 0
or, 15x (x - 1) -8(x-1) =0
or, (x-1)(15x-8)=0
Either,
x-1=0
x = 1
when x=1,
y= 0
or,
15x-8=0
x=8/15
when x= 8/15,
y= -7/25
Mrs Brown and Mrs Jones make 4 dozen sandwiches in half an hour in Mrs Jones’ small kitchen. If they had 30 friends in to help, how many sandwiches could be made in the same time?
Answer:
1488 sandwiches in thirty minutes
Step-by-step explanation:
4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?
Answer:
The earlier movie starts at 1610 (4:10 PM)
Step-by-step explanation:
The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.
If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).
Good luck!!
Any hot you have an index card with a number 1 through 10 written on them find how many of the 10 possible numbers you can pick match describe event and drag and drop each of the numbers into the contact Box the order the event is most 1 likely to happen to most likely of happened 8 you will pick one card at random
model the unknown number problem by writing an algebraic expression. Then complete the statements
juan doubled his workout time
A rectangular garden has an area of 63ft2. The length of the garden is 2 feet more than the width. Find the length and the width of the garden.
Answers:
L = 64
W= 62
Explanation:
the volume of water in eight containers are 3.1, liters, 2.8 liters, 3.2 liters, 4.2 liters, 3.9 liters, 5.6 liters, 3.7 liters, and 4.5 liters find the median volume
Answer: 4.05
Step-by-step explanation: the two median numbers are 4.2 and 3.9 divided by 2 and that gave me 4.05
Next
Comparing Functions: Mastery Test
1
Select the correct answer.
Melissa and Robbie are flying remote control gliders.
The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.
The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.
Answer:
C. Robbie's glider
Step-by-step explanation:
P.S -The exact question is -
Given - Melissa and Robbie are flying remote control gliders.
The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.
m(s) = 0.4(s³ - 11s² + 31s – 1)
The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.
To find - Which glider reaches the greater maximum altitude in the first 6 seconds after launch?
A. Neither glider reaches a maximum altitude on the given interval.
В. Melissa's glider
C. Robbie's glider
D. Both gliders reach the same altitude on the given interval.
Proof -
At t = 6 sec,
Melisa glider is
h(6) = 0.4((0.6)³ - 11(0.6)² + 31(0.6) – 1)
= 0.4( 0.216 - 3.96 + 18.6 - 1 )
= 0.4(13.856) = 5.5424
⇒h(6) = 5.5424
∴ we get
At t = 6 seconds, Melissa glider is at the altitude of 5.54 feet
Now,
From the figure, we can see that,
At t = 6 seconds, Robbie's glider is approximately at an altitude of 13 feet
Now,
As 13 > 5.5
So,
Robbie's glider is at maximum height in 6 seconds after the launch.
So,
The correct option is - C. Robbie's glider
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
How do I find the quotient 2/5 divide by 1/4
multiply 5 by 4
multiply 5 by 7
multiply by
multiply by 4
Answer:
A. [tex] \frac{2}{5} \times 4 [/tex]
Step-by-step explanation:
Given:
[tex] \frac{2}{5} \div \frac{1}{4} [/tex]
To find the quotient, we would multiply the first fraction (⅖) by the reciprocal of the second fraction (reciprocal of ¼ = 4).
This, we would have:
[tex] \frac{2}{5} \times 4 [/tex]
[tex] = \frac{8}{5} [/tex]
Answer:
A) multiply 2/5 by 4
Step-by-step explanation:
I think this is edge I literally just did this
pls give 5 star brainly and heart :)))
I need these 3 and I’ll give brainliest