The probability values
(a) P(X=1) = 0.2696(b) P(at least one nonconforming part) = 0.8845The probability that the inspector finds exactly one nonconforming partFrom the question, we have the following parameters that can be used in our computation:
n = 14
p = 2/14
The probability P(x =1) can be calculated as
P(x) = C(n, x) * p^x * (1 - p)^(n - x)
In this case, we have
P(x = 1) = C(14, 1) * (2/14)^1 * (1 - (2/14))^(13
Evaluate
P(x = 1) = 0.2696
The probability that the inspector finds at least one nonconforming partThe probability P(x >= 1) can be calculated as
P(x) = 1 - P(0)
In this case, we have
P(x >= 1) = 1 - [C(14, 0) * (2/14)^0 * (1 - (2/14))^(14)]
Evaluate
P(x >= 1) = 0.8845
Read more about probability at
https://brainly.com/question/251701
#SPJ1
after five years of owning a roth individual retirement account (ira), a person wants to buy his first home, the person can withdraw money from the roth ira
A person who has owned a Roth IRA for five years may withdraw money from the account to buy their first home. The individual has to meet certain requirements and can't withdraw more than $10,000 per person.
A Roth IRA is a type of individual retirement account that allows for tax-free withdrawals of contributions at any time, without penalty or taxes. After five years of ownership, a person who has a Roth IRA may withdraw money from the account to buy their first home. This withdrawal is known as a "first-time homebuyer distribution."
However, there are certain rules and limitations to be aware of when withdrawing money from a Roth IRA for a first home purchase. The individual must be a first-time homebuyer, defined as someone who has not owned a home in the past two years. Additionally, the maximum amount that can be withdrawn for a first home purchase is $10,000 per person.
It's important to note that while contributions to a Roth IRA can be withdrawn tax-free and without penalty, earnings on those contributions may be subject to taxes and penalties if withdrawn before age 59 and a half.
Learn more about IRA here:
https://brainly.com/question/9969005
#SPJ4
At a music store, Rita got a $12 discount on an item originally priced at $48. What percent discount did she get?
Answer:
a $12 discount like what is it soupoust to be
A business development manager discusses international steel production and economic development at a conference. He passes out this graphic and asks for comments. Which comment about the data is most accurate? Japan’s production has increased and shows no signs of decreasing. China’s steel production is increasing while its major competitors’ production is declining. By 2009, China’s tons of steel produced per US million ($) GDP was 50, about 10 tons less than Japan’s all-time high. At 50 tons of steel produced per US million ($) GDP, China has the highest steel production of all producers shown as of 2009.
The most accurate comment about the graph data is: "China's steel production is increasing while its major competitors' production is declining."
A graph is what?Academics are using graphs to logically chart or graphically depict events or quantities. A graph point is a common way to depict how different things interact. The non-linear storage structure known as a graph is made up of nodes, also referred to as vertices, and lines. Glue ought to be used to connect the edges, also known as nodes , respectively. (4.5).
Here,
The most accurate comment about the data is: "China's steel production is increasing while its major competitors' production is declining."
This is because the graph shows that China's steel production has been steadily increasing since the early 2000s, while the steel production of other major producers such as Japan, the United States, and Germany has been declining or stagnant. This trend is particularly evident after the global financial crisis of 2008-2009.
While it is true that Japan's steel production has increased and shows no signs of decreasing, this comment does not address the overall trend of declining steel production among major producers.
The other two comments are not accurate. The statement "By 2009, China’s tons of steel produced per US million ($) GDP was 50, about 10 tons less than Japan’s all-time high" is not supported by the graph, as there is no information about tons of steel produced per US million ($) GDP on the graph.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
The population growth rate due to the difference in births and deaths in the U.S. is estimated to
be 0.5% per year. Given a 2001 population size of about 285 million, calculate the projected
population size in 2025. Use the exponential growth equation (N= No e"), to calculate the
population. In the equation, No is the initial population (285,000,000), r is the growth rate expressed as a
decimal (0.005), t is the number of years (25), e is a constant (defined as the base of the natural
logarithm), and N, is the population after t years.
In 2025, we would have 321 million people Since we do have an exponential growth function here.
What is exponential growth?
Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current value. In mathematical terms, it can be expressed as y = ab^x.
We then have that;
P = Poe^rt
P = population at time t
Po = Initial population
r = rate of growth
t = time taken
Then;
t = 24 years
r = 0.005
Thus;
P = 285 * 10^6e^24 * 0.005
P = 321 million people
Learn more about exponential growth:https://brainly.com/question/12490064
#SPJ1
A mapping diagram represents a relationship that contains three different input values and four different output values. Is the relationship a function
The relationship is not a function.
What is Function?
A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that,
A mapping diagram represents a relationship that contains three different input values and four different output values.
Let A be the set of input values and B be the set of output values.
Number of elements in A = 3
Number of elements in B = 4
This means that 3 elements in A has four elements as image in B.
Thus, an element in A must have two different images in B.
But by the definition of functions, there can't be more than one image for an element in set A.
Hence the given relationship is not a function.
Learn more about Functions here :
https://brainly.com/question/2541698
#SPJ1
1. A(n).
is an arrangement of objects in which order is important.
the
A permutation is a collection of things where the arrangement is important. In general, a permutation of a set in mathematics is the rearranging of its members into a sequence or linear order if the set already has an ordered structure.
What is permutation?A permutation is a grouping of items where the order is crucial.
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order.
The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
Contrasted with combinations, which are selections of a few members of a set independent of order, are permutations.
There are six permutations of the set "1, 2, 3," for instance, represented as tuples: (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1).
Therefore, a permutation is a collection of things where the arrangement is important. In general, a permutation of a set in mathematics is the rearranging of its members into a sequence or linear order if the set already has an ordered structure.
Know more about permutation here:
https://brainly.com/question/1216161
#SPJ1
can someone tell me how i find answer for this problem?
Answer:
P(x) = x²(x +1)(x -2)²
Step-by-step explanation:
You want the 5th degree polynomial with leading coefficient 1 that has roots of 0 and 3, each with multiplicity 2, and a root of -1.
FactorsYou recall that a polynomial with root p has (x -p) as a factor. A root that is repeated m times has multiplicity m.
You recall that an exponent is used to signify the number of times a factor is repeated.
The factored form of P(x) is then ...
P(x) = (x -2)²(x -0)²(x -(-1)) . . . . . roots 2 and 0 repeated twice, root -1
P(x) = x²(x +1)(x -2)²
__
Additional comment
If you like, you can multiply it out and collect terms. The result will be ...
P(x) = x⁵ -3x⁴ +4x²
4 divided by 2 left square brackets 2 plus 2 right square brackets equals?
The given expression "4 divided by 2 left square brackets 2 plus 2 right square brackets equals" gives the solution one divided by 2.
How to solve expressions?4 divided by 2 left square brackets 2 plus 2 right square brackets equals?
4 ÷ 2(2 + 2)
based on the concept of PEMDAS
P = parenthesis
E = Exponent
M = Multiplication
D = Division
A = Addition
S = Subtraction
= 4 ÷ 2(4)
= 4 ÷ 8
= 4/8
= 1/2
Therefore, the correct answer is 1/2(one divided by two
Read more on expressions:
https://brainly.com/question/4344214
#SPJ1
Find the amount of tax and the tax rate. Round to two decimal places
Cost of item: $126
Selling price: $133.36
Tax amount: $
Tax rate:
Answer:
Tax amount: $7.36
Tax rate: 5.84%
Step-by-step explanation:
First, we have to find the tax amount by taking
$133.36 - $126 = $7.36
Tax amount: $7.36
To find the tax rate, we take
7.36 divided by 126, times 100 = 5.84%
Tax rate: 5.84%
So,
Tax amount: $7.36
Tax rate: 5.84%
What is the sum of the measures of the exterior angles of any convex polygon?
A.90
B.180
C.360
D.720
Answer:
360
Step-by-step explanation:
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°
hope dis helpsssssss
What is the equation of the function that is graphed as line a?
y = 4 x - 3
y = - 1/4 x + 3
y = 1/4x + 3
y = -4 x - 3
Answer:
y = 4x - 3
Step-by-step explanation:
y = mx + b
The m is the slope and the b is the y-intercept.
The slope is 4. If you start at the point (0,-3) and go up 4 units and then 1 unit to the right, you will be back on the line at point (2,4) The slope is the rise over the run. The rise is 4 and the run is 1. 4/1 = 4.
The slope (m) is 4.
The y-intercept is where the line crosses the y axis. It crosses at (0,-3)
The y-intercept (b) is -3
Plug 4 in for m and -3 in for b
y = mx + b
y = 4x -3
Answer:
[tex]y = 4x - 3[/tex]
Step-by-step explanation:
we need to find out the equation of the function that is graphed. From the given graph we can see that the line passes through points (0,-3) and (2,5) . So we can find out the slope of the line as ,
[tex]\implies m =\dfrac{y_2-y_2}{x_2-x_1}=\tan\theta\\[/tex]
[tex]\implies m =\dfrac{-3-5}{0-2} \\[/tex]
[tex]\implies m =\dfrac{-8}{-2} \\[/tex]
[tex]\implies \mathfrak{ m = 4 }\\[/tex]
Now we may use point slope form of the line to find out the equation of the line as,
[tex]\implies y - y_1 = m(x-x_1) \\[/tex]
[tex]\implies y -(-3) = 4(x-0) \\[/tex]
[tex]\implies y +3 = 4x\\[/tex]
[tex]\implies \underline{\underline{ y = 4x -3}} \\[/tex]
And we are done!
-TσηγSтαяκ
Urgent!! Not sure what the right answer is, I know it’s not B. Or C.
Option C) The given set of data is distributed as 3,3,5,4,3,2, 5,6,5 ther are 2 peeks showing that the data si bimodally distributed.
What is distribution ?A function called data distribution identifies all potential values for a variable and assesses its relative frequency (probability of how often they occur). Any population with dispersed data is referred to as a distribution.
Being monomodal refers to having a one mode. In mathematics, unimodality more broadly refers to the existence of only one greatest value that is somehow specified.
Two modes comprise a bimodal distribution. In other words, two processes with distinct distributions' results are combined into a single collection of data. The distribution sometimes goes by the name "double-peaked." For instance, consider the distribution of data for two production shifts in a manufacturing facility.
The given set of data is distributed as 3,3,5,4,3,2, 5,6,5 ther are 2 peeks showing that the data si bimodally distributed.
To learn more about Distribution refer to :
https://brainly.com/question/4528178
#SPJ1
There are 5 red marbles and 8 blue marbles in a bag. (a) What is the ratio of red marbles to blue marbles? (b) What is the ratio of all marbles in the bag to blue marbles?
Answer:
A. 5 to 8
B. 13 to 8
Step-by-step explanation:
Can somebody help me please
93,101,109,117,125,133,141,149,157,165
for a certain type of soil the number of wireworms per cubic foot has a mean of 100 . assuming a poisson distribution of wireworms, give an interval that will include at least 5 / 9 of the sample values of wireworm counts obtained from a large number of 1 -cubic-foot samples.
An interval that will include at least 5/9 of the sample values of wireworm counts obtained is (85,115).
Let us consider a random variable Y which follows the Poisson distribution with parameter λ=100
The Mean of the Poisson distribution of λ(μ)=100
The variance of the Poisson distribution σ²=100
We need to find an interval that will include at least 5/9 of the sample values.
We have the Mean of the Poisson distribution λ=100
The variance of the Poisson distribution is σ²=100
The standard deviation of the Poisson distribution is σ =√100=10
Now, consider Tchebysheff’s rule:
Let X be a random variable with finite expected value and finite non-zero variance then for any real number k > 0,
Pr(|X-μ|≥kσ)=≤1/k².
1-1/k²=5/9
1-5/9=1/k²
4/9=1/k²
k²=9/4
k=1.5
So the interval contains all the values within 1.5 standard deviations from the mean:
μ±1.5(σ)
100±1.5(10)
100±10
(85,115).
Hence, The interval is (85, 115).
To know more about Tchebysheff’s rule:
https://brainly.com/question/14737152
#SPJ4
Pls help
I will give 65 points for the first person to answer my question.
Thank you!
first off let's check how much is 5% of hmmm say "x"
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of x}}{\left( \cfrac{5}{100} \right)x}\implies 0.05x[/tex]
so if we increase "x" by that much, that's just "x + 0.05x" = 1.05x. Now, let's find how much is 5% of that
[tex]\stackrel{\textit{5\% of 1.05x}}{\left( \cfrac{5}{100} \right)1.05x}\implies (0.05)(1.05x)\implies 0.0525x \\\\\\ \stackrel{\textit{now let's add that, to 1.05x}}{1.05x~~ + ~~0.0525x}\implies 1.1025x[/tex]
so our "x" went up by 0.1025x, now let's conver that to a percent, 0.1025 * 100 = 10.25%.
If 80% of a number is 560, what will be 70% of that number?
Answer:
490
Step-by-step explanation:
80/100×the total number= 560
solved for the total number Which is equal 700
700×70% = 490
I’m a lil bit confused please help
Answer:
5000
Step-by-step explanation:
10×16=160
160 Btu?
is 5000
because the closesd value in the graph is 5000
for 160
b2 = 3, h = 3, and A = 12 b1= 7.2 5 9
The length of b1 is given as follows:
b1 = 5 units.
How to obtain the area of a trapezoid?The area of a trapezoid is obtained adding the bases, multiplying by the height, and dividing by 2.
For the trapezoid in this problem, the parameters are given as follows:
Bases 3 and b1.Height of 3.Area of 12.Hence the length of b1 is obtained as follows:
3(3 + b1)/2 = 12
9 + 3b1 = 24
3b1 = 15
b1 = 15/3
b1 = 5 units.
More can be learned about the area of a trapezoid at brainly.com/question/1463152
#SPJ1
y= 2x + 3
y= -3x + 3
Answer:
Below
Step-by-step explanation:
I suppose you are looking for a solution to the system of equations
since both equations are equal to 'y' they are equal:
2x+3 = -3x+3 add 2x to both sides of the equation
5x + 3 = 3 subtract 3 from both sides
5x = 0 so x = 0
if x =0 then find y y = 2(0) + 3 = 3
the solution is (0,3)
determine each length in right triangle . right triangle abc with right angle at vertex b. point d lies on side ac. dashed segment bd is drawn. angles
Using the Pythagorean theorem and the Law of Cosines, we can solve for the lengths of each side in right triangle ABC.
The right triangle ABC with right angle at vertex B can be solved using the Pythagorean theorem. The Pythagorean theorem states that in any right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. In this case, side AC is the hypotenuse and side AB and BC are the two shorter sides.
We can determine the lengths of all three sides using the Pythagorean theorem and the information given. Side AB is equal to the square root of the sum of the squares of sides AC and BC. Since we are given that angle ABC is a right angle, we can determine that side BC is equal to the length of side AB. This means that the length of side AB is equal to the square root of the square of side AC. The length of side AC can be determined by finding the length of the dashed segment BD.
To find the length of dashed segment BD, we can use the Law of Cosines. The Law of Cosines states that in any triangle, the square of the length of a side is equal to the sum of the squares of the other two sides minus twice the product of the other two sides multiplied by the cosine of the angle opposite the side. In this case, we are finding the length of side BD. We can use the angle ABC and side AC to solve for the length of side BD.
Therefore, using the Pythagorean theorem and the Law of Cosines, we can solve for the lengths of each side in right triangle ABC.
Learn more about Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ4
what is 8 1/6-3 7/12
Answer: 4 7/12
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8\dfrac{1}{6} - 3 \dfrac{7}{12}}[/tex]
[tex]\mathsf{= \dfrac{8\times6 + 1}{6} - \dfrac{3\times12 + 7}{12}}[/tex]
[tex]\mathsf{= \dfrac{48 + 1}{6} - \dfrac{36 + 7}{12}}[/tex]
[tex]\mathsf{= \dfrac{49}{6} - \dfrac{43}{12}}[/tex]
[tex]\mathsf{= \dfrac{49}{6}\times\dfrac{2}{2} - \dfrac{43}{12}\times\dfrac{1}{1}}[/tex]
[tex]\mathsf{= \dfrac{49\times2}{6\times2} - \dfrac{43\times1}{12\times1}}[/tex]
[tex]\mathsf{= \dfrac{98}{12} - \dfrac{43}{12}}[/tex]
[tex]\mathsf{= \dfrac{98 - 43}{12 - 0}}[/tex]
[tex]\mathsf{= \dfrac{55}{12}\rightarrow 4\dfrac{7}{12}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{4\dfrac{7}{12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]On the defense of a football team,there are three types of players on the field.What is the probability of picking each type of player at random out of the 11 players
Answer: The probability of picking each type of player at random depends on the number of players of each type on the field. If the number of players of each type is not specified, it is not possible to determine the probability of picking each type of player at random.
Step-by-step explanation:
Write the correct domain and range of the relation. {(-4,-4),(-1,3),(0,5),(3,9)}
Answer:
domain: {-4, -1, 0, 3}range: {-4, 3, 5, 9}Step-by-step explanation:
You want the domain and range of the relation {(-4,-4),(-1,3),(0,5),(3,9)}.
DomainThe domain is the set of first numbers of the ordered pairs:
{-4, -1, 0, 3}
RangeThe range is the set of second numbers of the ordered pairs:
{-4, 3, 5, 9}
Answer:
Domain: {-4, -1, 0, 3}
Range: {-4, 3, 5, 9}
Step-by-step explanation:
The Domain is the number that is on the x-axis.
The Range is the number on the y-axis.
Its quite simple. Hope this HELPED! HAVE A GOOD DAY AND NIGHT!!!!!!!!!!
Which three criteria do binomial experiments meet? There are only two trials. The trials are independent. There are only two outcomes per trial. Each outcome is repeatable. The probability of success is the same for each trial.
The three criteria that binomial experiments meet are :
The trials are independent. There are only two outcomes per trial. The probability of success is the same for each trial.What criteria should binomial experiments meet ?The experiment is referred to as a binomial experiment since there are only two possible output values in a binomial experiment. In the case of binomial experiments, the number of independence variables is fixed.
In the case of binomial experiments, the number of independence variables is fixed. The total number of output values for the binomial experiment is 2. For the binomial experiment, each of the two outputs has a 50% chance of happening—50% for success and 50% for failure.
Find out more on binomial experiments at https://brainly.com/question/28941825
#SPJ1
Answer:
B. The trials are independent.
C. There are only two outcomes per trial.
E. The probability of success is the same for each trial.
Step-by-step explanation:
and then
B. a survey asking 50 people if they like pizza
C. a survey measuring 50 people to see if they are over 6 feet tall
64. Use a graph to estimate the critical numbers of f(x)=| x^3-3x^2+2| correct to one decimal place.
The critical numbers of f (x) = | x³ -3x² + 2| is, x = 0 and x = 2.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = | x³ -3x² + 2|
Now, We know that;
⇒ All the critical points are find as;
⇒ f '(x) = 0
⇒ 3x² - 6x = 0
⇒ 3x(x - 2) = 0
⇒ x = 0
⇒ x = 2
Thus, The critical numbers of f (x) = | x³ -3x² + 2| is, x = 0 and x = 2.
Learn more about the function visit:
https://brainly.com/question/28793267
#SPJ1
Which elements listed below are required for an inverse trig problem to find a missing angle?
*check all that apply
A right triangle
The length of at least one side
The measure of at least one angle
The length of at least 2 sides
The elements listed above that are required for an inverse trig problem to find a missing angle include the following:
A. A right triangle.
D. The length of at least 2 sides.
What is a right angle?In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.
Generally speaking, the length of at least two (2) sides is an element that is required for an inverse trig problem in order to find a missing angle in a right angled triangle.
In conclusion, both a right triangle and the length of at least two (2) sides must be provided in order to find a missing angle in a right angled triangle.
Read more on right triangle here: brainly.com/question/27884177
#SPJ1
ax-b=4 if a≠0
please help immeditatlyl
jfasjflsajdflskadjfsadfsadf
Answer:
Graphical form: Ax-b=4 simplifies to Ax-b-4=0
Text form: Ax-b=4 simplifies to Ax-b-4=0
Cartoon (animation) form: simplify_cartoon%28+Ax-b=4+%29
For tutors: simplify_cartoon( Ax-b=4 )
Step-by-step explanation:
The graph below is the function f(x)
The required answers are:
lim f(x) = -1
1-2-
lim f(x) = -1
1+2+
lim f(x) = -3
r2
f(2) = -3
How to solve thisGiven image has a graph of the function f(x)
To find [tex]\lim_{x\rightarrow 2^-}f(x), lim f(2) 12+, lim f(x) 12 and f(2)[/tex]
We have from the image of the graph the function f(x) is a discontinuous function with x=2 is the point of discontinuity.
Now from the graph the value of f(x) at x=2 i.e. f(2) = -3 as the graph has a bold dot at y=-3.
Next [tex]\lim_{x\rightarrow 2^-}f(x)=\lim_{x\rightarrow 2^+}f(x)=-1[/tex] as in the graph of f(x) it has a small circle at y = -1.
As f(2) = -3 so [tex]\lim_{x\rightarrow 2}f(x)=f(2)=-3[/tex]
Thus the required answers are
lim f(x) = -1
1-2-
lim f(x) = -1
1+2+
lim f(x) = -3
r2
f(2) = -3
Read more about functions here:
https://brainly.com/question/25638609
#SPJ1
The table represents a linear function. What is the slope of the function?
-2 8
-1 2
0 -4
1 -10
2 -16
The answer is -6., is the slope of the function.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
In order to determine the slope of the function, we have to know about linear function.
In any linear function, we can get its slope using two pairs of coordinates that belong to the linear function.
m=Slope of the linear function.
P1=(x1,y1)=First pair of coordinate.
P2=(x2,y2)=Second pair of coordinate.
In this case, we have many pairs of coordinates, so we choose two of them:
P_1=(-2,8)
P_2=(0,-4)
Then, we replace them in the slope formula:
m = y2-y1/x2-x1
= -6
Finally, the slope of the function is -6.
To learn more on slope click:
brainly.com/question/3605446
#SPJ1