The probability that the mean repair time is less than 8.9 hours is 0.6103 (or 61.03%).
Given information: Mean repair time is 8.4 hours and Standard deviation is 1.8 hours
To find: Probability that the mean repair time is less than 8.9 hoursZ score can be calculated using the formula;
Z = (X - μ) / σWhere,
Z = z score
X = Value for which we need to find the probability (8.9 hours)
μ = Mean (8.4 hours)
σ = Standard deviation (1.8 hours)
Substituting the values in the above formula;
Z = (8.9 - 8.4) / 1.8Z = 0.28
Probability for z-score of 0.28 can be found from z table.
The value from the table is 0.6103
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Given the equation f(x) = x³ - 2x, find the average rate of change of the function over the interval -1 ≤ x ≤ 5.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(−3,−6) and (4,−8)
Pls help I need this
The distance between these two points is √53 units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The two points of a triangle are (−3,−6) and (4,−8)
The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
=√(4+3)²+(-8+6)²
=√7²+2²
=√49+4=√53
So the distance between these two points is √53 units
Hence, the distance between these two points is √53 units.
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i need help willing to give 10 pts if anybody to help me with these quiz 4-1 classifying and solving for sides/ angles in triangles
The Values of missing angles are shown below.
What is angle Sum Property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
6. Using Angle sum property
<1 + 72 + 57 = 180
<1 = 51
Now, <2 +72 = 90
<2 = 18
<and, <3+ 57 = 180 (linear pair)
<3 = 123
Now, <4 = 180- 123- 18
<4 = 39
7. <1 = 180- 129 = 51 (linear pair)
<2 = 180- 51 - 95 = 34 (Angle sum property)
<3 = 95 (Vertical opposite angle)
<4= 180- 47 - 95 = 38
<5 = 47 (Vertical opposite angle)
<7= 180-121= 59
<6= 180-59-47= 74
8. Using Angle sum property
13x+ 2 + 5x - 7 + 3x -4 = 180
21x -9 = 180
21x = 189
x= 9
So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23
9. Using Exterior Angle property
19x- 18 = 7x+1 + 10x- 9
19x - 18 = 17x - 8
2x = 10
x= 5
So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41
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How many Bijective functions can be defined from A to B if A |= N and B |= M?
A bijective function is a function that is both one-to-one and onto, meaning that it assigns a unique output to each input, and every output in the codomain is assigned by some input in the domain.
If A has N elements and B has M elements, and we want to find the number of possible bijective functions from A to B, we can use the following formula:
Number of bijective functions = (Number of functions from A to B) / (Number of one-to-one functions from A to B)
The number of functions from A to B is given by the number of ways to assign each element of set A to set B, which is [tex]M^N[/tex].
The number of one-to-one functions from A to B is given by the number of ways to assign a unique element from set B to set A, which is[tex]M!/(M-N)![/tex]
So, the number of bijective functions is:
[tex]M^N[/tex] / (M!)/(M-N)!
When A and B have the same cardinality, N = M, the number of bijective functions will be M!/(M!)/(M-M)! = 1, that is only one bijective function can be defined.When A and B have different cardinality, N ≠ M, the number of bijective functions will be[tex]M^N / (M!)/(M-N)! = 0[/tex], which means that no bijective function can be defined.Read more about the Bijective function:
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After picking apples at Fruitville Orchards, Sidney stops at the orchard's market to get some fresh apple cider. She wants to drink a pint of cider at the orchard. She also wants to bring a pint of cider to each of her 5 friends later in the day. How many 1-quart jugs of apple cider should she buy?
Sidney should buy 3 1-quart jugs of cider.
What is mean by pint?
The pint is a liquid amount that is equal to one eighth of a gallon and it is also equal to one half of a quart.
How many 1-quart jugs of apple cider should Sidney buy?
Sidney wants to drink a pint of cider. She also wants to bring a pint of cider to each of her 5 friends.
So, she needs total 6 pints of cider.
As per standard metric unit, 1 liquid pint = 0.5 liquid quart
6 liquid pints = (6 × 0.5) liquid quart = 3 quarts
So, Sidney should by 3 quarts of apple Cider that means 3 amounts of 1 -quart jugs of cider.
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Solve the inequality for U.
65> 4u-11
The term "inequality" refers to a relationship between two expressions or values that is not equal to one another.
What is called inequality?Inequality is the relationship between two expressions or values that are not equal to one another.
The five inequality symbols used in mathematics are greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), and not equal to symbol ().
Use the steps below to resolve an inequality: Step 1: Remove all fractions by multiplying every phrase by the fractions' lowest common denominator. Step 2 Consolidate like terms on both sides of the inequality to simplify. Step 3: Add or subtract amounts to get the unknown on one side and the numbers on the other.
Therefore, the answer is [tex]$u \in(-\infty, 19)$[/tex].
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What is the growth factor in an exponential function?
The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.
The growth factor in an exponential functionThe growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.
For example, with an exponential function of the form y = a*b^x, the growth factor is represented by the letter b.The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.
For example, with the function y = 2*3^x, the growth factor would be calculated by taking the ratio of y(x+1) / y(x) = 3. This means that for every one unit increase in the value of x, the value of y is multiplied by 3.The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.
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Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
The coordinate of point A(2,1) after dilation of 2 will be (4,2).
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that Point A has coordinates A(2,1). The dilation of the point will be calculated as,
A(2,1) = A' ( 2 x 2, 2 x 1 ) = A'( 4,2)
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If two sides of a triangle are 5 and 7 which would be the third side
Answer:
2 < x < 12
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
7 - 5 < x < 7 + 5
2 < x < 12
third side could be 3, 4, 5, 6, 7, 8, 9, 10, 11
True or False?
When solving two-step equations, you are basically using the reverse order of operations to solve the two-step equations.
Tonia eats 2 meals each day, breakfast and dinner. For breakfast, she always eats the same thing, and the total calories for each breakfast are 500. The total calories she ate for 5 days was 9,000.
What was the average number of calories Tonia consumed for dinner each day over the 5 days?
Answer: We know that Tonia eats 2 meals each day, breakfast and dinner. We also know that the total calories for each breakfast are 500.
If Tonia ate breakfast for 5 days, the total calories for breakfast would be 500 x 5 = 2500 calories.
We know that the total calories she ate for 5 days was 9000 and the number of calories for breakfast is 2500.
The number of calories for dinner over 5 days is 9000 - 2500 = 6500 calories.
To find the average number of calories Tonia consumed for dinner each day over the 5 days, we need to divide the total number of calories for dinner by the number of days:
average number of calories = 6500 / 5 = 1300 calories per day.
So Tonia consumed an average of 1300 calories per day for dinner over the 5 days.
Step-by-step explanation:
Write the rule to describe the transformation
Answer:
Dilation of 2
Step-by-step explanation:
Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].
The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.
So, the scale factor is [tex]\frac{4}{2}=2[/tex].
Magela is modeling 3.18 / 6. How should she exchange the place value blocks so she can make 6 equal shares?
Place value blocks should be exchanged as
30 tenths and 18 hundredths for modeling 3.18/6 .
What is place value ?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.
Given,
Number to model = 3.18/6 = 0.53
The number is 3 wholes 1 tenths and 8 hundredths.
To divide it into 6 equal shares she has to exchange place value blocks as
30 tenths and 18 hundredths
Making its equal shares
30/6 tenths and 18/6 hundredths
5 tenths and 3 hundredths
Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.
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Please help me on this!!!!!!
Answer:
y = -[tex]\frac{1}{2}[/tex]x+6
Step-by-step explanation:
First off, you need to know what slope-intercept form is: y = mx+b
y = mx+b
b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.
Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.
So, know we know: y = mx+6
m = the slope of the line - you have to find two coordinates
in this case, it could be the two yellow points
(0,6)
(6,3)
use the following two coordinates to find the slope:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case, it would be 3-6/6-0, which equals to -1/2.
So, finally, we get:
y = -[tex]\frac{1}{2}[/tex]x+6
Assignment
The values in the table represent a function.
f(x)
x
-6
7
4
3
-5
8
3
-5
.
-2
12
Use the drop-down menus to complete the
statements.
The ordered pair given in the first row of the table can
be written using function notation as
î
f(3) is
f(x) = -5 when x is
So on solving the provided question we cans ay that function f(3) is f(x) = -5 so x = 3
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here, we have
f(3) is f(x) = -5
so x = 3
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What is this number in standard form?
(4×100)+(1×10)+(3×1/10)+(5×1/1,000)
410.3005
thats the answer but i need to add more characters ignore this
What is the area of the right triangle with base 5 cm and altitude 4cm?
The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².
The area of right triangle is calculated using the formula -
Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.
Keep the values in formula to find the area of the right triangle.
Area = 1/2 × 5 × 4
Performing division on Right Hand Side of the equation
Area = 5 × 2
Performing division on Right Hand Side of the equation
Area = 10 cm²
Therefore, the area of right hand triangle will be 10 cm².
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A metalworker has a metal alloy that is 30% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 50 kg of a 48% copper alloy?
If a metalworker has a metal alloy that is 30% copper and another alloy that is 60% copper. The amount of kilograms of each alloy is: 20kg of 30% copper alloy must be combined with 30kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.
How to find the amount of kilograms?Let a be the amount of 30% copper alloy and b be the amount of 60% copper alloys. The combined alloys must be 50 kilograms.
a + b = 50 kg
The total copper in the mixture:
0.30a + 0.60b = 0.48(50)
Substitute by making use of the first equation
0.30(50-b) + 0.60b = 24
15 -0.30b + 0.60b =24
0.30b= 9
Divide both side by 0.30b
b = 9/0.30
b = 30
The amount of 30% copper alloy needed is:
a= 50-b
a = 50 -30
a = 20
Therefore 20 kg of 30% copper alloy must be combined with 30 kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.
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What type of sequence is 1 1 2 3 5 8?
Answer:
Fibonacci sequence
Step-by-step explanation:
A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is
1 + 1 = 2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
What are the factors of 904?
904 is a composite number.
Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.
What is a factor in math?
A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product
The exponents in the prime factorization are 3 and 1. ...
Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.
Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.
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please help for points
Answer:
the answer is A
Step-by-step explanation:
did it not the long ago
what is the solution to the equation 1/ the root of 8 =4^(m-2). 15/4 11/4 5/4 9/4 plsssss help
m = 5/4 is the solution to the equation
How to find the solution to the equation?
An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.
The equation can be simplified as follows:
[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]
[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]
[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]
[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]
[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]
Equate the powers or exponents:
-3/2 = 2(m-2)
-3/2 = 2m - 4
2m = -3/2 + 4
2m =5/2
m = 5/4
The solution to the equation is m = 5/4
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26. Workplace injuries (5.2, 5.4) Pick a nonfatal work- place injury in private industry at random. The table gives the probability model for the day of the week that the injury took place.
Day: Sunday Monday Tuesday Wednesday
Probability: 0.06 0.18 0.17 0.17
Day: Thursday Friday Saturday
Probability: x 0.15 0.09
(a) Find the probability that the randomly chosen injury took place on a Thursday.
This is Probability and Statistics!
(b) Find the probability that the injury took place on a weekday (Monday through Friday).
(c) Given that an injury took place on a weekday, what is the probability that it took place on a Monday?
a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.
b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.
c) The probability that it took place on a Monday would be 21.4%.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain.
(a) To find the probability that the injury took place on a Thursday, we need to find the value of x in the probability table:
Day: Sunday Monday Tuesday Wednesday
Probability: 0.06 0.18 0.17 0.17
Day: Thursday Friday Saturday
Probability: x 0.15 0.09
The sum of the probabilities for each day must equal 1. So we can set up an equation to find x:
0.06 + 0.18 + 0.17 + 0.17 + x + 0.15 + 0.09 = 1
0.83 + x = 1
x = 0.17
The probability that the injury took place on a Thursday is 0.17.
(b) To find the probability that the injury took place on a weekday (Monday through Friday), we sum the probabilities for Monday, Tuesday, Wednesday, Thursday, and Friday:
0.18 + 0.17 + 0.17 + 0.17 + 0.15 = 0.84
The probability that the injury took place on a weekday is 0.84.
(c) Given that an injury took place on a weekday, we can use Bayes' Theorem to find the probability that it took place on a Monday. Let A be the event that the injury took place on a weekday, and B be the event that the injury took place on a Monday. Then:
P(B|A) = P(B and A) / P(A)
P(B and A) = P(B) = 0.18
P(A) = 0.84 (from (b))
So:
P(B|A) = 0.18 / 0.84 = 0.214 or 21.4%
The probability that the injury took place on a Monday, given that it took place on a weekday, is 21.4%.
Hence,
a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.
b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.
c) The probability that it took place on a Monday would be 21.4%.
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What are the 5 algebraic properties of equality?
The five algebraic properties of equality are: Reflexive, Symmetric, Transitive, Addition, and Multiplication properties
Reflexive property: For any real number a, a = a.Symmetric property: For any real numbers a and b, if a = b, then b = a.Transitive property: For any real numbers a, b, and c, if a = b and b = c, then a = c.Addition property of equality: For any real numbers a, b, and c, if a = b, then a + c = b + c.Multiplication property of equality: For any real numbers a, b, and c, if a = b, then a * c = b * c.These properties are the foundation of algebraic manipulation and are used to solve equations and simplify expressions.
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How do you solve 2 ordered pairs?
An ordered pair is a set of two values, (x,y), that represents a point on a coordinate plane. To solve an ordered pair means to find the coordinates (x,y) of a point on a coordinate plane.
To solve two ordered pairs, you would need to know the coordinates of both points, and then you can graph them on a coordinate plane to visualize the relationship between the two points.
For example, if you have the ordered pairs (2,3) and (4,5), you can graph them on a coordinate plane with the x-axis and y-axis, where x represents the horizontal position and y represents the vertical position. The point (2,3) would be located at 2 on the x-axis and 3 on the y-axis, and the point (4,5) would be located at 4 on the x-axis and 5 on the y-axis.
Once you have plotted the points on a coordinate plane, you can use them to make a conclusion about the relationship between the two points, for example if they are in the same line, if the distance between them, if they form a slope, etc.
The function f(x) is defined below. What is the end behavior of f(x)?
f(x) = 80x* 2 + 640 - 400х - 52
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
The function f(x) is defined as:
→ f(x)= 80x* 2 + 640 - 400x - 52
We need the degree and the leading coefficient to determine the behavior.
Since our leading coefficients has a leading even degree of 5, and a positive number,
The function will Rises to the left and falls to the right.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
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A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4
Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70
Answer:
.35
Step-by-step explanation:
Experimentally 7 hearts were drawn with 20 tries
7/20 = .35
Answer: A: 0.13
Step-by-step explanation:
adding probabilities common core algebra i
The Poisson law states that the probability of at least 2 different changes daily is 0.0263. Thus, 0.0263% of changes happen twice or more each day.
Define probability.The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the unit value and, conversely, its distance from zero can make one less comfortable in the outcome. The confidence level is based on how close the probability value is, which is calculated using a range from 0 and 1
Here,
The conditional probability function for X is the amount of times the incident occurs over a specific period of time.
In this experiment, the frequency, or x, at which an event occurs is counted.
The likelihood of the event happening throughout each period is equal.
The number of events in one period is independent of the number in other intervals.
The first step is to set the discrete stochastic process X to the number of website content updates.
Let's say that there are on average x content changes every day.
The Poisson distribution law states that the probability of at least 2 changes each day is 0.0263.
0.0263% of changes occuring twice or more as a result per day.
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got moved to a new class, no intro no subject, i dont know what kind of problem this is or how to solve it,, help pls!!!
Answer:94
Step-by-step explanation:
English is not my first language, so I don't know if you understand what I meant in the explanation.
Which statements are true about the regular polygon select three options
Answer:
Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.