Option D is the right choice.
It is discovered through the use of conditional probability that there is a 0.4 = 40% chance that it will stop working in less than 2 years.
Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
Conditional Probability:
P (B / A) = P (A∩B) / P (A)
Here:
P(B / A) is the likelihood that event B will occur in the absence of event A.
P (A∩B) is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
As per the question:
Event A: Delivery was harmed.
Event B: Fails to function after less than two years.
P (A) = 0.1 due to the probability of being damaged during delivery being 0.1.
P (A∩B) = 0.04 because there is a 0.04 likelihood that it will be damaged during the delivery and stop working.
The likelihood under the condition is:
P (B / A) = P (A∩B) / P (A) = 0.04 / 0.1 = 0.4
0.4 = 40% chance that it will stop working in under two years.
Therefore, option D is correct.
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(jk−1)÷j when j=−4 and k=−0.9
The evaluation of the expression for the given values of j and k is -0.65
Evaluating an ExpressionFrom the question, we are to evaluate the given expression for the given values of j and k.
From the given information,
The given expression is
(jk - 1) ÷ j
and
j = -4 and k = -0.9
Now, substitute the values of j and k into the expression
(jk - 1) ÷ j
((-4)(-0.9) - 1) ÷ -4
= (3.6 - 1) ÷ -4
= 2.6 ÷ -4
= - 0.65
Hence, the value of the expression is -0.65
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(2sin(x) - 1)(tan(x) - 1) = 0 for 0 ≤ x ≤ 2 pi
Answer: x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4
Step-by-step explanation:
2sin(x)-1=0
tan(x)-1=0
sin(x)=1/2
tan(x)=1
x=π/6
x=5π/6
x=π/4
x=5π/4
x1=π/6 ,x2 = π/4, x3 = 5π/6, x4 5π/4
A family of four goes to a movie theater and spends $26.50. They buy 2 children's tickets at
$3.50 per ticket, 2 adult tickets, and 3 boxes of popcorn at $2.50 per box. What is the cost of
an adult ticket?
(Algebra)
Answer:
$6.50
Step-by-step explanation:
3.50(2)+2x+2.50(3)=26.50
6.00+2x+7.50=26.50
13.50+2x=26.50
2x=13.00
x=6.50
Answer Asap
Thank u
Angle are ,x = 45 and y = 45
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
x + 45= 90x = 90-45x=45as x and y are alternate interior anglesy = 45Hence,Angle are ,x = 45 and y = 45
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an old-model machine can stamp 1000 parts in four hours. a newmodel machine can stamp 1000 parts in just two hours. how long will it take one old-model and one new-model machine to stamp 1000 parts working together?
It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.
Given that;
Finding the hourly cost of stamping parts for each machine is one way to approach this issue.
In 4 hours, the outdated equipment can stamp 1000 pieces. That means that it produces 250 parts per hour (1000 divided by 4). The new machine produces 1000 parts in two hours, which translates to 500 components every hour of stamping (1000 divided by 2).
If t is the amount of time that both machines are simultaneously stamping, then to determine the output, which must be 1000 parts, we simply multiply the rates of the two machines by t.
By multiplying the unknown time, t, by each of the two machines' rates and setting the result equal to 1000, it is possible to determine the precise amount of time required. Equation form of this is;
250t + 500t = 1000
750t = 1000
t = 1000/750
t = 1.333
It will take 1 hour 20 mins for one old-model and one new-model machine to stamp 1000 parts working together.
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A textbook store sold a combined total of 382 chemistry and biology textbooks in a week. The number of biology textbooks sold was 58
less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
Number of chemistry textbooks sold:
Number of biology textbooks sold:
Answer:
chemistry books is 220 and number of biology books is 220
Step-by-step explanation:
let y be biology books
let x be the number of chemistry books
x-58=y
equation 1 ) x+y=382
sub in x-58 for y
2. x+(x-58)=382
3. 2x-58= 382
4. 2x=382-58
5. 2x = 324
6. x/2 =324/2
7. x = 162
for x=y+58
y=162
x 220
220+162=382
y+x=382
Solve for n.
5(n+4)
3
O-24
24
22
O-22
=n-8
The value of n is -22.
What is a variable?
Any traits, figures, or amounts that may be gauged or counted are considered variables.
Given:
5(n+4)/3=n-8
Move 3 to the right
5(n+4)=3(n-8)
5n+20=3n-24
5n-3n= -24-20
2n=-44
n=- 44/2=-22
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what is y=6x+20? Stemscopes
The solution of the given equation [tex]y=6x+20[/tex] is [tex]x = \frac{y + 20}{6}[/tex]
What is linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
We have,
[tex]y = 6x + 20[/tex]
Arrange the equation both sides so that all variable terms are on the left hand side.
[tex]6x - 20 = y[/tex]
Add 20 to both sides of the equation.
[tex](6x - 20) + 20 = y + 20[/tex]
[tex]6x = y + 20[/tex]
Divide both sides by 6 we get,
[tex]\frac{6x}{6} = \frac{y + 20}{6}[/tex]
∴ [tex]x = \frac{y + 20}{6}[/tex]
Hence, final solution is [tex]x = \frac{y + 20}{6}[/tex] .
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Y+4=2(x-7)
In standard form
Answer:
2x-y=18
Step-by-step explanation:
y + 4 = 2(x - 7) (open brackets)
y + 4 = 2x - 14 (re arrange)
4 + 14 = 2x - y
2x - y = 18
NEEDS ANSWERING NOW: A carpenter uses 8 1/2 ft of cedar for every 13 2/3 ft of redwood for a construction project. If the carpenter uses 4 1/4 ft of cedar, how much redwood does she need? Use pencil and paper. Is there more than one way to find the amount of redwood? Explain.
The redwood that the carpenter needs is 5 [tex]\frac{5}{6}[/tex] feet.
How to calculate the value?From the information, the carpenter uses 8 [tex]\frac{1}{2}[/tex] ft of cedar for every 13 [tex]\frac{2}{3}[/tex] ft of redwood for a construction project.
Let the redwood needed be illustrated as x.
It's important to note that 4 [tex]\frac{1}{4}[/tex] is half of 8 [tex]\frac{1}{2}[/tex]. Therefore, we will divide the redwoods given earlier by 2. This will be:
= 13 [tex]\frac{2}{3}[/tex] ÷ 2.
= 41 / 3 × 1/2
= 41 / 6.
= 6 [tex]\frac{5}{6}[/tex] ft
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I (O,6), J (-1,1)
Help me find the slope please
Answer:
The slope is 5.
Step-by-step explanation:
[tex]m = \frac{1 - 6}{ - 1 - 0} = \frac{ - 5}{ - 1} = 5[/tex]
Is x + 1/y = 7 a linear equation?
[tex]x + \frac{1}{y} = 7[/tex]
The equation ; x + 1/y = 7 as given in the task content is a linear equation.
What are linear equations?It follows from the task content that the equation given in the task content is to be identified as linear or not.
Since the given equation is; x + 1/y = 7;
It is noteworthy to know that a linear equation is one in which case, the greatest exponent of the variable is; 1.
Therefore, since the greatest exponent of a variable in the given equation is 1; it follows that the equation is a linear equation.
Hence, the equation given in the task content; x + 1/y = 7 is a linear equation.
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x+x+x+x+x please help!!!!!
Step-by-step explanation:
well this is a rather odd equation but I'm assuming that
x+x+x+x+x = 5x
5. If f(x)=4x - 1 and f(x)=11, find x.
Answer:
x = 3
Step-by-step explanation:
f(x)=4x - 1
f(x)=11, find x.
We want the value of x that would make 4x-1 equal to 11. Use 11 instead of f(x):
f(x)=4x - 1
11=4x - 1
Solve:
12 = 4x
x = 3
If x were 3, 4x-1 would be 4*3-3 or 11
The instructions on a bottle of cough medicine state that the dose for an adult is 20 milliliters. Toms measuring device is marked in teaspoons. How many
teaspoons will Tom take for 2 doses during the day?
(Hint: 1 tsp ≈ 5 mL)
A 4 tsp
B 8 tsp
C 10 tsp
D 40 tsp
Are the following rectangles similar? Show your work pls (yk how teachers are)
No the two rectangles are not similar as the ratios of the sides are not equal.
Two rectangles are said to be similar if the ratio of the sides of the rectangles are equal.
Now let us consider the given rectangles:
In rectangle ABCD:
AB = 18
AD = 36
In rectangle WXYZ :
WX = 25
XY = 45
Now the ratio of the sides of the rectangle are:
AB/AD = 18 / 36 = 1 / 2
WX/XY = 25 / 45 = 5 / 9
Thus we can see that AB : AD ≠ WX : XY
Hence the rectangles are not similar.
If the ratios of the adjacent sides of two rectangles are equal, then they are similar. A rectangle is a quadrilateral in the Euclidean plane because it has four right angles.
Other definitions include a parallelogram with a right angle or a quadrilateral that is equiangular, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing an additional cost for each book printed. The total production cost C (in dollars) is given by the function C=650+17.95N, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
P = ?
Homework help lolol
Answer: 67
Step-by-step explanation:
do the math
A construction company is planning the foundation for a house. Stakes have been placed in the ground to mark the corners of the foundation. The four sides formed are measured as 20 feet, 20 feet, 48 feet, and 48 feet. The diagonal of the quadrilateral formed is measured to be 54 feet.
What type of triangle is formed by the diagonal and two sides of the current foundation plan?
Answer:
See below
Step-by-step explanation:
It is NOT a right triangle or the diagonal would measure 52 feet (instead of 54 feet) ....it is an OBTUSE triangle
2
5. A square bathroom with side length 8m
needs tiling. One pack of tiles covers 10m².
How many packs do I need?
Answer:
6.4 packs (7 as integer)
Step-by-step explanation:
Area of the square: 8^2 = 64 m^2
64 : 10 = 6.4
a conical tent is to accommodate 11 persons. each person must have 4 m2 of the space on the ground and 20 m3 of air to breathe. find the height of the cone.
The height of the conical tent is 15 metres.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc toour question-
Let the radius of the base of the conical tent be r metres and its height be h metres. Area of the base = ( 4 × 11 ) m 2 = 44 m 2 ⇒ π r 2 = 44 m 2 =(4×11)m2=44m2⇒πr2=44m2(i) Volume of the cone = ( 20 × 11 ) m 3 = 220 m 3 =(20×11)m3=220m3 ⇒ 1 3 π r 2 h = 220 m 3 ⇒ π r 2 h = 660 m 3 ⇒13πr2h=220m3⇒πr2h=660m3.(ii) On dividing (ii) by (i), we get π r 2 h π r 2 = 660 m 3 44 m 2 ⇒ h = 15 m πr2hπr2=660m344m2⇒h=15m Hence, the height of the tent is 15 metreslearn more about unitary method click here:
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esearchers performed a study on the effects of a nonsteroidal anti-inflammatory drug (nsaid) given before and after arthroscopic knee surgery. a sample of 67 patients undergoing elective knee arthroscopy was randomly divided into three treatment groups. researchers compared the mean pain scores of the patients in the three treatment groups one day after surgery, and the f value obtained was 4.79. which statement is false?
The F-test is used in regression analysis to test the hypothesis that all model parameters are zero. It is also used in statistical analysis when comparing statistical models.
Statistical models that have been fitted using the same underlying factors and data set to determine the model with the best fit. That is:
H₀ : B₁ = B₂ = ............. = Bₓ =0
H₁: Bₙ ≠ 0 for at least one j.
The F-test was developed by Ronald A. Fisher (hence F-test) and is a measure of the ratio of variances. The F-statistic is defined as:
F = [tex]\frac{explained variables}{unexplained variables}[/tex]
A general rule of thumb that is often used in regression analysis is that if
F > 2.5then we can reject the null hypothesis. We would conclude that there is a least one parameter value that is nonzero.
The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)
The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)
F =[tex]\frac{x_{1}/v_{1} }{x_{2}/v_{2} }[/tex]
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16. Points X, Y, and Z are collinear, and Y is
the midpoint of XZ. Find the value of b.
Answer:
b=11
Step-by-step explanation:
lets set up the equation. we know that both sides equal each other so the equation is
2b+7=3b-4 let's move the 2b to the other side so we get
7=b-4 now add the 4 to the other side
11=b
Answer:
B is 11
Step-by-step explanation:
Tyler bought a bowling ball for $80. Sales tax is 7%. What is the total cost of the bowling ball?
Answer:
Step-by-step explanation:
first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,
add 80 and the ans of 80* (7/100)
80+5.6= 85.6
Is -97 prime or composite?
Answer:
Prime
Step-by-step explanation:
Because this number is only divisible by itself and no other number.
Sabrina needs more than 42 ft.³ of soil to top up her raised garden bed. each bag of soil contains 1.75 ft.³. Write and solve any inequality to find how many bags of soil Sabrina needs
The inequality that represents the quantity of bags of soil Sabrina needs is 1.75x > 42
The bags of soil needed is 24 bags
What is inequality?Inequality as used in math refers to relations that are not precisely equal
How to determine the bags of soil Sabrina needsSabrina needs more than 42 ft.³ of soil to top up her raised garden bed
> 42 ft³
each bag of soil contains 1.75 ft.³
let the number of bags of soil be x, such that
1.75x > 42
x > 42 / 1.75
x > 24
Sabrina needs at least 24 bags of soil
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The ____ of 12 is -12.
Answer; the Negative of 12 is -12
Step-by-step explanation: first of all the reciprocal of 12 is 1 over 12. so that's not it. The absolute value of 12 is still 12 so that's not it. So the only thing that it can be is the Negative of 12 is -12
Convert this Slope Intercept Form equation into Standard Form. y=2x-12
Answer: -2x+y=-12
Step-by-step explanation:
After what I did this is what i got. Can't really explain it
Hope this helps :)
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Using the velocity, the rocket reaches its maximum height at 3.25 seconds.
In the given question we have to find the maximum height at the rocket reaches.
From the question; a toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second.
The height h in feet of the rocket above the ground at t seconds after launch is given by the function h(t)= -16t^2+104t+5.
As we know that at the maximum height, the velocity will be zero.
So the given function of the heigth is
h(t)= -16t^2+104t+5
Velocity(v) = dh(t)/dt = -32t+104
As the maximum height v=0
-32t+104 = 0
Subtract 104 on both side, we get
-32t= -104
Divide by -32 on both side
t= 3.25 seconds
Hence, the rocket reaches its maximum height at 3.25 seconds.
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What is the quotient of 7 over 8 divided by 2 over 5?
Answer:
2 3/16
Step-by-step explanation:
It's simple math :D
NOVEMBER QUOTE!
Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox
(sorry that ones so long- ;-;)
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary. $31.69, 6%
The total amount given the original price and tax rate is $33.59
How to determine the total amount?From the question, we have the following parameters:
Original price = $31.69
Sales tax rate = 6%
In order to determine the total sales amount, we make use of the following total sales equation
Total sales = original price + original price * sales tax rate
Substitute the known values in the above equation
So, we have the following equation
Total sales = 31.69 + 31.69 * 6%
Evaluate
Total sales = 33.59
Hence, the total amount is $33.59
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