Answer:
0.44
Step-by-step explanation:
the number of miles that a particular type of car can run before its battery wears out is exponentially distributed with an average of 20,000 miles. what is the probability that the car batery will die somewhere between 25000 and 30000 miles ? ( round to three decimal places )
So the probability that the car will die between 25000 and 30000 miles is P(X > 25000) = 0.286
How does probability work?Probability is a branch of mathematics that deals with numerical descriptions of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, generally speaking, 0 indicates the event's impossibility and 1 indicates its certainty.
Here,
Exponential distribution is memory less.
Let be the event of car number of miles car travels before dying out.
So mean
m = 20000
Now P(X > t) = [tex]e^{\frac{-t}{m} }[/tex]
Since P( X > [tex]\frac{(x+y)}{X > x}[/tex]) = P(X > y)
=> P(X > 25000) = [tex]e^{\frac{-25000}{20000} }[/tex]
=> P(X > 25000) = [tex]e^{\frac{-5}{4} }[/tex]
=> P(X > 25000) = 0.286
So the probability that the car will die between 25000 and 30000 miles is P(X > 25000) = 0.286
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80% of the picture frame is glass. What is the area of the moulding
Answer:
20
Step-by-step explanation:
If 80% of the picture frame is glass, then 100-80 = <<80=20>>20% of the frame is moulding.
If the total area of the frame is 100 square inches, then the area of the moulding is 20 square inches. Answer: 20.
family music your family has an ipod filled with music. it has many thousands of songs. you figure that roughly 60% of the songs are music you like, 25% of the music is annoying songs from your little sister, and the rest is stuff from the 80s that only your parents still think is cool. driving across town, your mom puts the ipod on shuffle and you all listen to whatever randomness produces. what is the probability that the first song is a) an 80s song? b) a song picked by one of the kids? c) not one of your songs?
Step-by-step explanation:
If the iPod has many thousands of songs, it's safe to assume that the number of 80s songs, songs picked by one of the kids, and songs that you like are all significant. Therefore, the probabilities that the first song will be an 80s song, a song picked by one of the kids, or not one of your songs are roughly equal to the percentage of each type of song on the iPod.
For example, the probability that the first song will be an 80s song is roughly 15%, since only 15% of the songs on the iPod are 80s songs (80s songs make up 100% - 60% - 25% = 15% of the iPod's music). Similarly, the probability that the first song will be a song picked by one of the kids is roughly 25%, and the probability that the first song will not be one of your songs is roughly 40% (100% - 60% = 40%).
Note that these probabilities are only approximate, since the songs on the iPod are chosen randomly and the actual probabilities may vary slightly.
Find the missing number in the number sentence below.
-86+ _____ = 0
Question 4 options:
A: 89
B: 0.86
C: 87
D: 86
Answer:
86
Step-by-step explanation:
a gum manufacturer wants to determine whether blue packaging or red packaging is preferred. the company performs a sales test by introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, random sample of ten stores. the technique most appropriate for analyzing the data is
The technique most appropriate in introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, for analyzing the data is the Independent Samples T-test for means.
The test examines the means of two independent groups to see if there is statistical evidence that the related population means differ considerably. A parametric test is the Independent Samples t Test.
The Independent Samples t Test is frequently used to test the following variables: Statistical disparities between two groups' means, statistical differences between two interventions' means, and statistical differences between the means of two change scores. When comparing the means of exactly two groups—no more and no less—use an independent samples t-test.
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Jeremy is going to roll a fair 666-sided die 180180180 times. What is the best prediction for the number of times that jeremy will roll a number greater than 444?.
The best prediction would be that Jeremy will roll a number greater than 444 approximately one third of the time. This would be approximately 605360600 times.
How come probability is a theory?The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.
What draws us to study probability?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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Please help !!!!!!!
Answer: he gives them 2 balls each and there are 2 balls remaining
Step-by-step explanation: 10 balls divided by 4 teams would be 2.5 though you cannot split a ball in half therefore you would just keep the two spare balls
let p be a transition matrix of a regular markov chain and q be its steady state vector. what is the eigenvalue associated with vector q?
The Eigen Valve in λ = 1, in the transition matrix.
What is matrix?
An arrangement of numbers, factors, symbols, or phrases inside a rectangular table to various amounts of columns and rows is referred to as a matrix, which is the plural form of the word matrix. These rectangular arrays can perform addition, multiplication, as well as transposition operations, among other operations. The entries or numbers of a matrix are its constituent parts. In matrices, the horizontal and vertical entries are made reference to as rows and columns, respectively. There will be m n entries in a matrix to m rows as well as n columns. The capital "A" in this sentence needs to stand for "matrix," Aij.
Announce a = L are correct answer
To understand the Markov chain- let assume P matrix of regular al transition matrix
P = [tex]\left[\begin{array}{cc}0.3&0.7\\0.7&0.3\\\end{array}\right][/tex]
λ I - A = 0
λ² - 0.6λ - 0.4 =0
λ = 1 or -0.4
Hence The Eigen Valve in λ = 1
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Determine the domain of the following graph
Answer:
this pretty vauge, next time just add a pic of the graph
Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100100, find ashley's age.
From the information given, Ashley's age is 27
how to calculate the value:
Let the four siblings' ages be;
Ashley's age is x, x + 1, x + 2, x + 3.
If their combined ages equal 100
We possess
x + x + 1 + x + 2 + x + 3 = 100
assemble similar terms
4x + 6 = 100
4x = 100 - 6
4x = 96
Set the topic to "x"
x = 96/ 4
x = 24
But Ashely is x + 3 = 24 + 3 = 27 years old.
Thus, Ashley's age is 27
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) if the pile contains only 20 quarters but at least 40 of each other kind of coin, how many collections of 40 coins can be chosen?
the different collections than many (40+4-1)! / (40!)(43-40)! - (20+4-1)! / (20!)(23-20)!.
What is combination?
A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components
if the pile contains only 20 quarters but at least 40 of each other kind of coin,
So the P (n k ) = (20+4-1)! / (20!)(23-20)! subtracted from (40+4-1)! / (40!)(43-40)!
Hence the different collections than many (40+4-1)! / (40!)(43-40)! - (20+4-1)! / (20!)(23-20)!
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What is a formula for the nth term of the given sequence? 144, 192, 256...
Answer:
An=144(3/4)1-n
Step-by-step explanation:
hope it helps. Mark as brainliest
does 4 equal to the fraction 8 over 4?
The comparison of the expressions 4 and fraction 8 over 4 is that they are not equal
How to compare the expression?From the question, we have the following parameters that can be used in our computation:
4 and fraction 8 over 4
Rewrite the above expression using mathematical operators and mathematical symbols
So, we have the following representation
4 and 8/4
The above expression are integers and fraction expressions
So, we express 8/4 as an integer
This gives
4 and 2
The number 2 is less than the number 4
This means that both numbers are not equal
Hence, the conclusion is not equal
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Keilantra spots an airplane on radar that is currently approaching in a straight line,
and that will fly directly overhead. The plane maintains a constant altitude of 7500
feet. Keilantra initially measures an angle of elevation ofa9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B. Find the distance the plane traveled from point A to point B. Round your answer to
the nearest foot if necessary.
The distance between point A and point B is 36234 feet.
What is meaning of rounding to nearest feet?
Take a look at the straightforward process for rounding to the closest foot in the given points to become comfortable with the manual calculation:
Find the number of feet that is given first.
Look at the first digit following the decimal point, which is the digit we must round off.
If the value is in the range of 0 to 4, leave the digit we care about and trim the rightmost digits.
If the value is between 5 and 9, we should trim the rightmost portion of the number we care about and raise it.
The value that has been rounded to the closest foot is the final number.
Given that a plane maintains a constant altitude of 7500feet. Keilantra initially measures an angle of elevation of a 9° to the plane at point A. At some later time, she measures an angle of elevation of 34° to the plane at point B.
Assume that the position of Keilantra be X.
Draw a diagram that represent given situation.
Consider △ACX,
Applying tangent on the angle ∠AXC
tan 9° = AC/XC
tan 9° = 7500/XC
XC = 7500/ tan 9°
XC = 47353.13
Consider △XBD,
AC = BD = 7500
tan 34° = BD/XD
tan 34° = 7500/XD
XD = 7500/ tan 34°
XD = 11119.20
From the diagram,
AB = DC = XC - XD = 47353.13 - 11119.20 = 36233.92
Round to the nearest foot
AB = 36234
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Answer: its 10662
Step-by-step explanation:
just did it and that was the answer
A line has a slope of negative one-fourth and passes through point (negative five-fourths, 1). What is the equation of the line?.
The equation of the line is y - 1 = -1/4( x + 5/4).
Here we have to find the equation of the line.
Data given:
Point on the line= (-5/4, 1)
slope(m) = -1/4
The formula of the equation of the line:
y - y1 = m(x - x1)
where m = slope of the line
(x1, y1) = point on the line
Now putting the values in the equation we have:
y - 1 = -1/4( x- (-5/4))
y - 1 = -1/4( x + 5/4)
Therefore the equation of the line is y-1 = -1/4( x + 5/4).
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What is a rectangle for Class 1?
The rectangle is a closed figure having 4 sides, 4 vertices, and 4 angles.
The opposite sides of the rectangle are parallel and equal to each other. The measure of the angles of the rectangle is 90° i.e. they are right angles.
A rectangle is a 2-dimensional figure.
All rectangles can be squares but all squares cannot be rectangles. A square is a special type of rectangle. This is possible when all the sides of the rectangle are equal.
The various objects in our day-to-day life which has rectangular shape are -
box, mobile, book, blackboard or whiteboard, table, etc.
The visual representation of the rectangle is as follows-
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Write the sentence as an inequality.
Three is no less than a number z.
Write the sentence as an inequality. Three is no less than a number z.
3 ≥ z
The amount M (in trillions of dollars) of mortgage debt outstanding in the United States from 1990 through 2009 can be approximated by the function M = f(t) = 0.0037(t + 14.979)2, where t = 0 represents the year 1990.
a) Describe the transformation of the common function f(x) = x2. Then sketch the graph over the interval 0 ≤ t ≤ 19.
b) Predict the mortgage debt in the year 2014.
Answer:
The function f(t) = 0.0037(t + 14.979)^2 can be rewritten as f(t) = 0.0037(t^2 + 29.958t + 222.126). This is a quadratic function that has been stretched vertically by a factor of 0.0037 and shifted 14.979 units to the right and 222.126 units up.
To sketch the graph of this function, we can start with the graph of f(t) = t^2, which is a parabola that opens upwards. The transformation of this function stretches the parabola vertically by a factor of 0.0037, so its maximum and minimum values will be much smaller. The shift of 14.979 units to the right means that the vertex of the parabola will be located 14.979 units to the right of the vertex of the original parabola. The shift of 222.126 units up means that the minimum value of the function will be located 222.126 units above the minimum value of the original parabola.
On the interval 0 ≤ t ≤ 19, the graph of the function will be a parabola that stretches vertically by a factor of 0.0037 and is shifted 14.979 units to the right and 222.126 units up from the graph of f(t) = t^2.
To predict the mortgage debt in the year 2014, we can substitute t = 24 into the function f(t) = 0.0037(t + 14.979)^2. This gives us f(24) = 0.0037(24 + 14.979)^2 = 0.0037(39.979)^2 = 0.0037 * 1595.7441 = 5.90834 trillion dollars. This is the predicted mortgage debt in the year 2014.
There are 4,500 cities on planet Purple. The planetary government takes a random sample of 350 cities and finds that the average number of complaints about feral cats from the sample was 3.4 ± 0.49. Which of the following is an estimate of the total number of feral cat complaints for planet Purple?
Between 1018.5 and 1361.5 complaints
Between 171.5 and 1190 complaints
Between 13,095 and 17,505 complaints
Between 2,205 and 15,300 complaints
Based on the margin of error, an estimate of the total number of feral cat complaints for planet Purple is A. Between 1018.5 and 1361.5 complaints.
What is the margin of error?The margin of error shows the statistical difference between the actual and projected or estimated results.
The margin of error gives the difference between the upper limit and the lower limit of the sample estimate.
With the margin of error, one establishes a level of confidence or the confidence interval in the sample results.
The total number of cities on planet Purple = 4,500
Random sample size = 350 cities
Average complaints = 3.4
Margin or error = ± 0.49
Upper limit = 1,361.5 [350 x (3.4 + 0.49)]
Lower limit = 1,081.5 [350 x (3.4 - 0.49)]
Thus, using the margin of error, an estimate of feral cat complaints hovers over Option A.
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f(4) = 10 and f(-4)= 14, find f(5)
Answer: f(5)=9.5
Step-by-step explanation:
If the graph displays f(x)=(-1/2)x+12, then the answer for f(5) would be 9.5.
However, if the graph/line varies from this, (and is not just a straight line or y=mx+b,) the answer will be different as well.
Given the information you gave me though, this is the best I can do. Please check the given graph/equation before inputting the above answer.
I need this answer quickly :(
it is 31. i hope this helped you!
Answer:59
Step-by-step explanation:
What is the relation between scale factor and sensitivity of a transducer 1 point?
The relationship between scale factor and sensitivity of a transducer is scale factor is the inverse of the sensitivity
The scale factor is defined as the ratio between the original measurement and the new measurement.
If the scale factor is greater than 1, then the we are enlarging the measurement. If the scale factor is between 0 and 1, then we are shrinking the measurement
The sensitivity of the transducer is the output obtained per unit changes in the input. The higher sensitivity and lower sensitivity will lead to error. So the sensitivity should be moderate
Here the scale factor is inverse of the sensitivity, when the scale factor increases the sensitivity decreases
Therefore, the scale factor is the inverse of the sensitivity
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Please help me raise my grade
What did the boy measuring stick say when he say the girl measuring stick.
Answer:
What the boy measuring stick said when he saw the girl measuring stick was - Pleased to meter/metre you. It is a pun, or a play on words, because you'd normally say - Pleased to meet you, but given that these are not people, but rather measuring sticks, and what they do is measure stuff using meters as a unit of length, using the word meter instead of meet creates a funny effect because those words sound alike.
Step-by-step explanation:
A ea turtle uually lay a clutch of 110 egg in it net in one night. If there are 30 turtle laying egg on the ame ame night , how many egg are laid in total that night ?
Using simple multiplication , The number of eggs laid total that night is
3300.
What do you mean by arithmetic expressions?A group of numbers or variables coupled with the operations +, -, *, / or form an expression. Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.
What do you mean by unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
Sea turtle lays 110 egg in one night.
number of turtle = 30 .
Total number of eggs laid that night = 30 * 110
=3300
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Manipulate the equation for s
S/r+m=v
Answer choice
Add M
Multiply by r
Multiply by v
Subtract m
Divide by r
Step-by-step explanation:
rearrange the equation so that the unknown you are r trying to calculate is on its own on one side of the equation
Connor is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 39.75 meters. He stands 34.7 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer: 11.4m
Step-by-step explanation:
Answer:
12.2 meters
Step-by-step explanation:
Question 18 (2 points)
A triangle has vertices at F(-7,3) G(2,6) and H(3,5). What are the coordinates of each vertex of the image if the triangle is reflected
over the line y=x?
a
O b
ос
Od
F(-3,7) G'(-6,-2) H'(-5,-3)
F(7,-3) G'(-2,-6) H'(-3,-5)
F(-7,-3) G'(-2,6) H'(-3,5)
F(3,-7) G'(6,2) H'(5,3)
The coordinates of each vertex of the given triangle FGH, if the triangle is reflected over the line y = x, are F'(3, -7), G'(6, 2), and H'(5, 3).
What is the rule for the reflection of a shape across the line y = x?The rule for the reflection across the line y = x is
(x, y) ⇒ (y, x)
Here the coordinates are shuffled or interchanged among themselves for a reflection and form an image.
Calculation:The given triangle has vertices at F(-7, 3), G(2, 6), and H(3, 5).
When it is reflected across the line y = x, the image of the triangle forms at the vertices
F(-7, 3) → F'(3, -7)
G(2, 6) → G'(6, 2)
H(3, 5) → H'(5, 3)
The reflection across the line y = x is shown in the graph below.
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How do you get the solution 2+2
Lets see how smart you people are
Answer:(1x2)+(4divided by 2)
Step-by-step explanation:
a small electric bike speed is 24 miles in 2/3 hour At this rate how many miles can it drive in 1 hour
Answer: 36 miles
Step-by-step explanation:
2/3 hour = 40 minutes
We know that its speed is 24 miles in 40 minutes
So take 24 divided by 40 = 0.6 miles per minute
Then take 0.6 times 60 = 36 miles in 1 hour
So it can drives 36 miles in 1 hour