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
estimate and calculate 18686+17544?
Answer:
I think its gona be aroundddddddddddddddddddd 30,000
oh rats.. i was in that area tho ........36,230
Which equations represent exponential growth functions? Select all that apply.
Question 6 options:
f(x)=(2.6)x
g(x)=(52)x
h(x)=(0.4)x
m(x)=(13)x
Quadrilateral ABCD is a parallelogram. What is BC?
Answer:
BC = 36 ≅ (AQ+QD)
Step-by-step explanation:
1. Identify potential angles
∠Q≅90˚ so ∠B = 60˚ + 60˚ and ∠C = 30˚+30˚
2. Two isosoceles triangle
18=AB=AQ
18=CD=DQ
3. BC = AQ+QD
BC = 18+18
BC = 36
aylor states that 2,800,000 in scientific notation is 2.8 × 10-6 because the number has six places to the right of the 2. Is Taylor’s reasoning correct?
Answer:
2.8+1232adwasdf 232=999
Step-by-step explanation:
A novelist can write 3 1/2 pages in 1/3 of an hour. How many pages can she write in one hour?
Answer:
LG sjsjsjdjdbvebsjsuwknsnsbbskoejenndnd
Answer:
12 pages
Step-by-step explanation:
3 1/2 pages = 1/3 hour
? pages = 1 hr
; Cross multiply. Multiply 1 times 3 1/2 which is 4. Then, divide 4 by 1/3.
4/1 times 3/1 which equals 12 pages.
Select the measures that are equal to 3 gallons. Mark all that apply.
6 quarts
12 quarts
6 pints
12 pints
24 pints
20 cups
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 galllon = 8 pints
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 gallon = 8 pints
_2. A bacteria population starts at 2,032 and decreases at about 15% per day.
Write a function representing the number of bacteria present each day.
A. $(x) - 2032(0.85)
C. $(x) - 2032(0.85)
B. $(x) - 2032(1.85)
D. f(x) – 2032(0.15)
Answer:
Step-by-step explanation:
The Answer will be D hope this helps ya :)
The function representing the number of bacteria present each day is
[tex]\rm f(t) = 2032(0.85)^{t}[/tex] .
What is a function ?
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
The set X is called the domain of the function and the set Y is called the codomain of the function
A bacteria population starts at 2032 and decrease by 15% everyday.
a function representing the number of bacteria present each day
[tex]\rm f(t) = 2032(1-.15)^{t}[/tex]
[tex]\rm f(t) = 2032(0.85)^{t}[/tex]
Therefore [tex]\rm f(t) = 2032(0.85)^{t}[/tex] is the correct answer .
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Find the area of the figure.
A) 96cm
B) 110cm
C) 120cm
D) 150cm
Answer:
A
Step-by-step explanation:
Answer:
209952=Area
56=Perimeter
Step-by-step explanation:
3*3*2*2*9*9*6*12=Area
3+3+2+2+9+9+6+12=Perimeter
I need help please help
Answer:
76.93 ft^2
Step-by-step explanation:
it equals the whole circle's are divided by 2
What is the value of x?
A triangle. One angle is labeled x degrees. A second angle is labeled 53 degrees. The third angle is labeled 77 degrees.
Enter your answer in the box.
x =
Which expression has the largest value? Each has 9/16 as a factor.
A) 1 2/3 x 9/16
B) 2 7/8 x 9/16
C) 9/2 x 9/16
D) 10/89 x 9/16
Answer:
A
Step-by-step explanation:
Each pattern below is made of six congruent
squares. Which pattern can be folded into a cube
that has a surface area of 96cm??
Step-by-step explanation:
im not sure have a good day stay safe and get a good grade
Suzanne bought a sweater at the sale price of $35. The original cost of the sweater was $50. What percent represents the discount that Suzanne received when buying the sweater?
Answer:
She got a 30 % discount
Step-by-step explanation:
Take the original price and subtract the new price
50 -35 = 15
Divide by the original price
15/50
.30
Multiply by 100 to get the percent
.30 * 100 % = 30 %
She got a 30 % discount
PLEASE HELP ME NO LINKS I AM BEGGING U !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The measure of the angle x° is half the sum of the intercepted arcs.
x° = (112° +28°)/2 = 140°/2
x° = 70°
Help me please thank you so much
Answer:
32
Step-by-step explanation:
Multiply the base x height
It will be 8 x 4
And if you multiply it, it should equal to 32 so that means...
The volume of the cylinder is 32.
Which of the following modifications to an electromagnet would be most likely to
decrease the strength of its magnetic field?
Answer:
Fewer coils, lower voltage, alloyed core with less iron
Step-by-step explanation:
A fish tank has 10 goldfish, 6 tetras, 5 snails, and 2 platies. What is the ratio of tetras to platies?
A. 2/10
B. 6/2
C. 2/6
D. 10/6
Answer:
its B cuz there r six tetras and 2 platies so it is 6/2
(x+6)/(x+1)=6/2
Solving proportions
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]
[tex] \frac{6}{2} = 3[/tex]
so, the solution of the equation will be as follows:
[tex] \frac{x + 6}{x + 1} = 3[/tex]
3(x+1) = x + 6
3x + 3 = x + 6
3x - x = 6 - 3
[tex]x = \frac{3}{2} [/tex]
so, the answer will be x = 3/2
What is the volume of the figure shown below?
Answer:
31 in
Step-by-step explanation:
Answer:
The volume of the figure shown below is 31 inches
Step-by-step explanation:
Just trust me ;)
For keeping business rocords, every three mouths of a year is called a quater. How many months are equal to three-quaters of a year? Explain how you found your answer.
Answer:
9 months
Explanation:
3 times 3 is nine
If one quarter is 3 months. 3 of these quarters would have 9 months all together.
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is the correct graph but can it fit on your graph?
Step-by-step explanation:
Answer:
is in the photo
Step-by-step explanation:
hope this helps
please help me for brqinliest im imed
Answer:
77°
Step-by-step explanation:
As we can see ABCD is a cyclic quadrilateral so opposite angles of a cyclic quadrilateral is supplementary.
< A + <B = 180° { being opposite angles of cyclic quadrilateral }
2x + 9° + 3x + 1° = 180°
5x + 10° = 180°
5x = 180° - 10°
5x = 170°
x = 170° / 5
x = 34°
Now
< A = 2x + 9°
= 2 * 34° + 9°
= 77°
Hope it will help :)❤
In the figure, m∠4=74° and m∠3=43° . Find m∠1 and m∠2 .
The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
m∠4=74° and m∠3=43°
m∠4 + m∠2 = 180
74 + m∠2 = 180
m∠2 = 106 degree
m∠3 + m∠2 + m∠1 = 180 (sum of angles in triangle is 180 degree)
43 + 106 + m∠1 = 180
m∠1 = 31 degree
Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
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Point 2 is 106°
Point 1 is 31°
Bit by bit clarification:
every triangle's total angle is 180
first you 180 - 74 = 106 for angle 2
angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do 180 - 149 = 31 will give you your angle one
hope it help mark brainliset please
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
A net force acting on a 5.0 kg box produces an acceleration of 4.2 m/s2. What
acceleration will the same net force cause on a 2.8 kg box?
Answer:
14 N
Step-by-step explanation:
Let the mass of the box be m.
F = ma → F = 5 x 4.2 = 21 N
When mass = 2.8 kg, let the acceleration is a. For same force:
=> 21 = a x 2.8
=> 21/2.8 = a
=> 7.5 m/s² = a
Answer:
7.5M/s^2
Step-by-step explanation:
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
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If Fx) = 8x, which of the following is the inverse of F(x)?
Answer
y=x/8
Step-by-step explanation:
f(x)=8x
f(x)=y
y=8x(interchange the values)
x=8y(divide by 8 both sides)
y=x/8
15 Points, please give full equation on how you answer.
simplify the expression by using the distributive property 3(7y+4)
Answer:
3(7y+4) multiply the inner to 3 so, 21y+12
Hi there!
Let’s distribute 3 by multiplying it by everything inside the parentheses:
3 * 7y = 21
3 * 4 = 12
21y+12 (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
-Sparkle-
A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?
The number of years before the new car becomes $5700 is 11.4 years.
How long would it take the value of the car to become $5700?Depreciation is when the value of an asset declines with the passage of time.
Number of years = (In FV / PV) / r
r = rate of depreciation FV = future value of the carPV = purchase value of the car(IN 5700 / 20,000) / 0.11 = 11.4 years
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