Answer:
a) The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b) The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c) The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
Step-by-step explanation:
Step(i):-
Given mean of the Population (μ) = 4.9 mm
Standard deviation of the Population(σ) = 1.2 mm
a)
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]
The probability that the thickness is less than 3.0 mm
[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]
= 1 - ( 0.5 + A(1.583)
= 0.5 - A(1.583)
= 0.5 - 0.4430
= 0.057
The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b)
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]
The probability that the thickness is less than 7.0 mm
[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]
= 0.5 - 0.4599 ( from normal table )
= 0.0401
The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c)
Let 'X' be the random variable in normal distribution
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7) = P( - 1.583 < X < 1.75 )
= A( 1.75 ) + A( -1.583)
= A(1.75)+A(1.583)
= 0.4599 + 0.4430
= 0.9029
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
[tex]8\:\mathrm{minutes}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\cdot\pi\cdot h[/tex]
Since the diameter is [tex]2.2[/tex], the radius is [tex]\frac{2.2}{2}=1.1[/tex].
Therefore, the volume of this cylinder is:
[tex]1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}[/tex], using [tex]\pi=3.14[/tex] as requested in the problem.
Since the tank is emptied at a constant rate of [tex]1.5\:\mathrm{ft^3\:per\:minute}[/tex], it will take
[tex]\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$}[/tex] to empty the tank.
John has a bag of marbles There are 3 green, 4 blue, 2 red and 1 yellow. What is the probability of him getting a green or blue?
Answer:
7/10 or 70%Step-by-step explanation:
Total marbles:
3 + 4 + 2 + 1 = 10Green and blue marbles:
3 + 4 = 7Probability of getting green or blue:
7/10Is x= 1/2 a solution of the equation 3(x+1)=3x+3
Answer:
Yes, x = 1/2 is a solution
Step-by-step explanation:
To see if it is a solution, plug it into the equation:
3(x + 1) = 3x + 3
3(0.5 + 1) = 3(0.5) + 3
3(1.5) = 1.5 + 3
4.5 = 4.5
Since this is true, x = 1/2 is a solution of the equation.
Help me with this please with 40 points!!!
Answer:
4
Step-by-step explanation:
How many proper subsets does the set T= {x,y,z} have?
Answer:
Total Proper Subsets = 2ⁿ - 1 = 2³ -1 =8-1 =7
Step-by-step explanation:
Basically the formula for,
No of subsets = 2ⁿ
Where n is number of elements in a set. As one subset is improper which is equal to the set itself so we have to find proper subsets which are = 2ⁿ - 1.
Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much did each orange cost?
Answer: 1.25
Step-by-step explanation:
hope this helps !!
Find x, y, and z:
x =
y =
z =
Answer:
x=81 degrees
y=132 degrees
z=60 degrees
Answer:
x=81 degrees
y=132 degrees
z=60 degrees
Please answer it due tonight
Will mark brainliest!!!Solve for x and round to the nearest tenth
Answer:
i think its 63
-8x = 140
Solve for x
Answer:
x = -17.5Explanation:
-8x = 140
Divide both sides by -8-8x / -8 = 140 / -8
x = ⁻³⁵⁄₂
Simplifyx = -17.5
Answer:
-17.5
Step-by-step explanation:
140 divided by -8=-17.5
x=-17.5
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
Answer:
C (yogurt sales had a decresing trend)
Step-by-step explanation:
so because if you look over other staistics they are not true and this one is
The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.
What is a Graph?Graph is a mathematical representation of relation between two objects.
The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.
The yogurt sales has been decreasing in the last four months of 2011.
To know more about Graph
brainly.com/question/14375099
#SPJ2
wHaT iS tHe aReA I NEED HELP
Answer:33 square feet
Step-by-step explanation:
Split the shape into two rectangles
3x7
6x2
Solve:
3x7=21
6x2=12
Add
21+12=33
Answer:
the area is 32
Step-by-step explanation:
Pls help extra points and mark brainlist easy reading
Answer: Its they second or last one but the second one sound more clear
Step-by-step explanation:
Dont really know this. Anyone wanna help.
Answer:
25 degrees
Step-by-step explanation:
angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,
90 degrees - 65 degrees = 25 degrees
(BRAINLIEST) and more in the description.
Question: A marble is randomly selected from a bag of 32 red and yellow marbles. What is the probability that the selected marble is red, if there are 20 yellow marbles in the bag?
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Step-by-step explanation:
If there are 20 yellow marbles,
there must be 32 - 20 = 12 red marbles.
P(Red marble)
= 12/32
= 0.375.
Answer:
The probability is 12/32
Step-by-step explanation:
If there are 12 red marbles and 20 yellow marbles, then there will be a 12/32 chance that you pick a red marble
This is because out of 32 marbles, you have 12 red marbles that you could pick, which gives you a 12/32 chance that you will pick a red marble. This can also be said as a 37.5% chance.
need help asap please!!
Answer:
VX = 37
Step-by-step explanation:
Since VX is the midsegment, based on the midsegment theorem we would have:
VX = ½(UY)
VX = s - 37
UY = s
Plug in the values
s - 37 = ½(s)
Multiply both sides by 2
2(s - 37) = s
2s - 74 = s
Collect like terms
2s - s = 74
s = 74
VX = s - 37
Plug in the value of s
VX = 74 - 37 = 37
What is the answer to 9 - x - 5x = -9
Answer:
x=3
Step-by-step explanation:
Answer:
so 9 - x - 5x = 9 because the 9 means x so its making the number negative. so - 9 and the 9 at the end = 9 don't worry about that bc you can subtract 5x
Step-by-step explanation: so what I'm saying is theirs many ways to solve that its just you don't know the level or something similar to that I'm only helping because I'm bored btw.
A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested in receiving this business, but none can handle more than one subcontract. The bids made by the companies for the various subcontracts are summarized in the following table. Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors? Assuming that all the companies can perform each subcontract equally well, to which company should each subcontract be assigned if the home manufacturer wants to minimize payments to the subcontractors?
Bids by Companies (in $1000s) for Various Subcontract
Company
Component A B C D
1 185 225 193 207
2 200 190 175 225
3 330 320 315 300
4 375 389 425 445
What is an LP model that matches this?
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]
Min
[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]
Subject to:
[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]
What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST
Answer:
It contains 0 or 2 triangles.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=[ ? ]
Answer: a = [ 65.8]
Step-by-step explanation:
A = 18°
B = 28°
b = 100
a = [ x ]
[tex]\dfrac{100}{sin \: 28^{o} } =\dfrac{x}{sin \: 18^{o} } \\\\\dfrac{100}{0.4694715628} =\dfrac{x}{0.3090169944} \\\\x=\dfrac{0.3090169944 \cdot 100}{0.469715628} \\\\x=65.78810\dots \\x \approx 65.8[/tex]
A builder needs to cover 10 square yards of floor with tile. red tile costs $60 per square yard, and white tole costs $40 per square yard. if the builder spends exactly $480 on tile, how much of the floor will be overed with RED tile?
Answer:40 square yards
Step-by-step explanation:
Given
Floor area A=10 square yards
Red tile costs [tex]\$ 60[/tex] per square yards
White tile costs [tex]\$40[/tex] per square yards
Total money spent=[tex]\$480[/tex] on tiles
Suppose red tiles cover an area of [tex]x[/tex] square yards
So, we can write
[tex]60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}[/tex]
Red tiles cover an area of 40 square yards
Can someone help me find x ?
Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answerRobby age 4 potato chips. Jimmy ate p times as many potato chips. Which expression shows how many potato chips jimmy ate?
Answer:
The answer is 4 x p.
Hope this helps! :)
Which equation is equivalent to 4(6x-2)+1=5(4x-1)
a. 24x-7=20x-5
b.24x-1=20x-1
c.24x-4=10x-5
d.24x+9=20x+5
What is the area, in square centimeters, of the trapezoid below?
8.9 cm
5.5 cm
5.5 cm
Answer:
0.4m²
Step-by-step explanation:
use the formular for tripezoid and only substitute a b and h
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
Which expression is NOT equivalent to
2^3•5•7
A 2•2•2•5•7
B 2^3•35
C 2•3•5•7
D 8•5•7
Answer:
its c or a
Step-by-step explanation:
Which equation represents the relationship between x and y in the table below?
x 0,2,4,6
y 1, 2, 3, 4
a. y=1/2x+1
b. y=x+1
c. y=x-2
d. y=-1/2x+1
Answer:
a
Step-by-step explanation:
if it’s wrong i’ll change it when i’m done with this quiz
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 40; σ = 16
P(50 ≤ x ≤ 70) =______.
Answer:
0.2356
Step-by-step explanation:
Given that:
μ = 40; σ = 16
P(50 ≤ x ≤ 70) :
Using the Zscore formula :
(x - μ) / σ
P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)
P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)
Using the Z probability calculator :
P(Z ≤ 1.875) - P(Z ≤ 0.625) -
0.9696 - 0.73401
= 0.23559
= 0.2356