Answer:
\(7 \sqrt{3 } - \sqrt{2} \)
Frito-Lay Fiery Mix Variety Pack (20 Count) are assembled by a process at a Frito-Lay facility that produces an overall normally distributed weight with mean of 556.8g and standard deviation of 1.2g. If a recent order from Walmart demands that the overall weight must be no less than 556g and no more than 558g, what is the chance that Walmart's quality standard will be satisfied by the average weight of a random sample of 10 bags of Fiery Mix pack? (Enter the probability as a decimal number with as many digits after the decimal point as you can enter, e.g. 0.1234. DO NOT ENTER as 12.34% or 12.34) You might get different values every time you answer this question.
The probability that Walmart's quality standard will be satisfied by average weight of a random sample of 10 bags of the Frito-Lay Fiery Mix Variety Pack is calculated using the properties of normal distribution.
The average weight of a random sample of 10 bags from the Frito-Lay Fiery Mix Variety Pack follows a normal distribution with the same mean as the individual bags (556.8g) but with a standard deviation equal to the original standard deviation divided by the square root of the sample size \(\(\frac{{1.2g}}{{\sqrt{10}}}\)\). To find the probability that the average weight falls within Walmart's demanded range (556g to 558g), we need to calculate the area under the normal curve between these two values.
To do this, we can standardize the values by subtracting the mean from each limit and dividing by the standard deviation of the sample mean. This will give us the z-scores for each limit. Using a standard normal distribution table or a statistical calculator, we can find the corresponding probabilities for each z-score. The probability between these two limits represents the chance that Walmart's quality standard will be satisfied.
Please note that the specific decimal value for the probability may vary depending on the z-table or calculator used, but it will typically be a small probability since the demanded range is relatively narrow.
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Drag and drop the numbers to order them from greatest to least.
Answer:
what numbers.
Step-by-step explanation:
Answer:
what are the numbers
Step-by-step explanation:
A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 47 states. What is the probability that she selects the route of three specific capitals? P(she selects the route of three specific capitals) 97290 (Type an integer or a simplified fraction:)
The probability that she selects the route of three specific capitals is 97290/1.
The probability that she selects the route of three specific capitals can be calculated by taking the total number of possible routes and dividing it by the total number of routes that involve the three specific capitals. To calculate the total number of possible routes, multiply the number of states (47) by the number of routes that could be selected from each state (2). This gives 94 total possible routes.
47 x 46 x 45 ways = 97290 ways
= 1/97290
Now, calculate the number of routes that involve the three specific capitals. Since the president is selecting three states, the total number of routes will be 3. Therefore, the probability that she selects the route of three specific capitals is 3/94, which can be simplified to 97290/1.
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We have two rational expressions: The first rational expression has (y² - 13y +36) in the numerator and (y² + 2y - 3) in the denominator. The second rational expression has (y²-y-12) in the numerator and(y²-2y+1) in the denominator .Simplify them
We are given two rational expressions: one with (y² - 13y + 36) in the numerator and (y² + 2y – 3) in the denominator, and the other with (y² - y – 12) in the numerator and (y² - 2y + 1) in the denominator. We need to simplify these rational expressions.
Simplifying the first rational expression:
The numerator of the first expression, y² - 13y + 36, can be factored as (y – 4)(y – 9).
The denominator, y² + 2y – 3, can be factored as (y + 3)(y – 1).
Therefore, the first rational expression simplifies to (y – 4)(y – 9) / (y + 3)(y – 1).
Simplifying the second rational expression:
The numerator of the second expression, y² - y – 12, can be factored as (y – 4)(y + 3).
The denominator, y² - 2y + 1, can be factored as (y – 1)(y – 1) or (y – 1)².
Therefore, the second rational expression simplifies to (y – 4)(y + 3) / (y – 1)².
By factoring the numerator and denominator of each rational expression, we obtain the simplified forms:
First rational expression: (y – 4)(y – 9) / (y + 3)(y – 1)
Second rational expression: (y – 4)(y + 3) / (y – 1)²
These simplified expressions are in their simplest form, with no common factors in the numerator and denominator that can be further canceled.
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the line with slope -2.5 and passing through (2,1.5) write the equation of the line
The first step that we must take before attempting to solve the problem is to understand what the problem statement is asking us to do and what is given to us to help accomplish that goal. Looking at the problem statement we can see that we are being asked to write an equation. The information that is provided to us is the slope of the line and a point through which the line crosses.
Now that we have determine the important aspects of the problem, we can move onto the actual calculations of the problem which can start off by us plugging information into the point-slope form. But before plugging in the values we should understand what makes up the form.
\(y_1\) ⇒ This variable captures the y-coordinate of the coordinate that is provided in the problem through which the line crosses.\(m\) ⇒ This variable capture the slope of the line that we will need to determine.\(x_1\) ⇒ This variable captures the x-coordinate of the coordinate that is provided in the problem through which the line crosses.Plug in values
\(y-y_1 = m(x - x_1)\)\(y-1.5= -2.5(x - 2)\)Now that we have plugged in all of the values into the variables that need to be altered we can begin distributing on the right side and then solving for y.
Distribute
\(y-1.5= -2.5(x - 2)\)\(y-1.5= (-2.5*x) + (-2.5* - 2)\)\(y-1.5= -2.5x + 5\)We are almost done with solving for y and the only step that we have left is to add 1.5 to both sides. This will remove it from the left side and isolate y which will give us the equation of the line that we need.
Add 1.5 to both sides
\(y+(-1.5 + 1.5)= -2.5x + (5+ 1.5)\)\(y= -2.5x + (5+ 1.5)\)\(y= -2.5x + 6.5\)Now that we have fully simplified the expression using the slope and point that was given to us, we were able to determine that the equation that represents that line is y = -2.5x + 6.5
Answer:
y = -2.5x + 6.5
Step-by-step explanation:
Given:
a line with a slope of -2.5, passing through (2, 1.5)Point-Slope Form: y - y₁ = m(x - x₁)
where:
(x₁, y₁) is the given pointm is the slopeSubstitute the given values into the formula:
⇒ y - 1.5 = -2.5(x - 2) [distribute -2.5]
⇒ y - 1.5 = -2.5x + 5 [add 1.5 to both sides]
⇒ y - 1.5 + 1.5 = -2.5x + 5 + 1.5
⇒ y = -2.5x + 6.5
Therefore, the equation of the line is: y = -2.5x + 6.5
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Evaluate the expression when x=10 y=-2
Answer:
you just gave value where is the expression required
Which inequality explains why these three segments cannot be used to construct a triangle? ef fd > de ed ef < df ed ef > df ef fd < de
We have the segments EF, FD, and DE.
Therefore, the correct answer is
ED + EF < DF
EF + FD < DE
What is Triangle Inequality Theorem?
The Triangle Inequality Theorem states that the totality of any side of a triangle must be greater than the measure of the third side in this problem.
We have the segments EF, FD, and DE.
To construct a triangle three inequalities must be met
case 1: EF + FD > DE
case 2: FD + DE > EF
case 3: EF + DE > FD
Therefore, the correct answer is
ED + EF < DF
EF + FD < DE
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I’ll mark you brainlist
Answer:
C=5
Step-by-step explanation:
23+(-3)=20
20=4c
4*5=20
Answer:
c=5
Step-by-step explanation:
Rewrite (128 + 32) using factoring
The expression can be rewritten as 32 ( 4 + 1) using factorization
What is factorization?Factorization is a method in mathematics that involves writing a number or another object as a product of several factors, mostly smaller or simpler objects of the same kind.
Given;
(128 + 32)
Let's factor using 2
2 ( 64 + 16)
Let's factor using 16
16 ( 4 + 2)
Let's factor again using 2
2( 2 + 1)
The expression can be rewritten as;
32 ( 4 + 1)
Thus, the expression can be rewritten as 32 ( 4 + 1) using factorization
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How many square inches of cloth are cut from the square (n = 3.14) if it’s 38inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
What is the area of the circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the area of the circle will be
A = πr² square units
The radius is given as,
r = 36 / 2
r = 18 inches
The area of the circle is given as,
A = π x (18)²
A = 3.14 x 324
A = 1,017.36 square inches
The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.
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The complete question is given below.
A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth is cut from the square?
(π = 3.14)
1,017.36 in2
1,489.24 in2
1,182.96 in2
1,276.00 in2
Im not understanding this, Can someone help ?
HELP! I NEED AN ANSWER. IF YOUR ANSWER WAS CORRECT I WILL GIVE YOU BRAINLIEST
Answer:
an isos. triangle
Step-by-step explanation:
FMECA is a bottom-up (Hardware) or top-down (Functional) approach to risk assessment. It is inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode and Causes/ Mechanisms. These elements closely resemble the modern 5 Why technique. Thus answer: To estimate reliability of software, most software prediction models use probability density function to predict, choose one Group of answer choices Mean time between failures Consensus of the team Number of failures observed in each test interval Mean time to failurel
FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."
FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.
However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.
PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.
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sara chose a date from the calendar. what is the probability that the date she chose is a prime number, given that the date is after the 7th of the month?
The probability that the date sara chose is a prime number is 0.2.
Given that, sara chose a date from the calendar.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Here, total number of outcomes = 30
Number of favourable outcomes = 6
Now, probability = 6/30
= 1/5
= 0.2
Therefore, the probability that the date sara chose is a prime number is 0.2.
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There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year
A function \(P(t) = 170.(1.30)^t\) that gives the deer population P(t) on the reservation t years from now
We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.
We could see the deer population grow exponentially since each year there will be 30% more than last year.
Since we know that an exponential growth function is in form:
\(f(x) = a*(1+r)^x\)
where a= initial value, r= growth rate in decimal form.
It is given that a= 170 and r= 30%.
Let us convert our given growth rate in decimal form.
\(30 percent = \frac{30}{100} = 0.30\)
Upon substituting our given values in exponential function form we will get,
\(P(t) = 170.(1+0.30)^t\)
⇒ \(P(t)= 170.(1.30)^t\)
Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.
Complete Question:
There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.
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Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
The answer is 4/8 or 1/2 or 0.5 or 50%
Step-by-step explanation:
A nickel has two faces, heads and tails
Equation of probability = Number of chances/Total Numbers of chances
So, 4 chances of heads / 8 chances of heads or tails, thus, there is a chance of 50% if Harry tosses the coin 4 times to get a head
25300 rounded to the nearest 100
Answer:
25,300
Step-by-step explanation:
Its already rounded.
If x < 5, find Ix - 5l.
Help me please
Answer:
b is you answer hope it helps you
2. A coach formed teams of 8 from all the players in a soccer league. There are 14 teams. How many players are in the league? y = 14 +8 Y 8 1 = 14 y = 14 y = 14.8 y =
Answer:112 players
Step-by-step explanation:
To solve the problem, we can use the formula:
Total number of players = Number of teams × Number of players per team
Since there are 14 teams with 8 players each, we have:
Total number of players = 14 × 8 = 112
Therefore, there are 112 players in the soccer league.
PLEASE HELP ASAP WILL GIVE BEST RATE
Answer:
2nd one i think
Step-by-step explanation:
What is ∠AEC?
What is ∠BED?
If im right, A,E,C is 105 degrees and B,E,D is 90 degrees.
hope this helps
How do you convert millimeters to centimeters?
Millimeters can be converted into centimeters by dividing the value by 10. The solution has been obtained by using the unit conversion.
What is unit conversion?
A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.
We are required to convert millimeters to centimeters.
We know that 1 centimeter = 10 millimeters
So, for converting millimeters to centimeters, we need to divide the value by 10.
Hence, millimeters can be converted into centimeters by dividing the value by 10.
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Which are the new coordinates of the dilation if a Scale Factor of 1/2 is applied to M(-4,3) N(12, 0) P(6, -11)
The new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)
Given that the points M(-4,3) N(12, 0) P(6, -11) are dilated by a scale factor of 1/2.
We need to find the new coordinates of the dilation of the points.
We know that if a point (x, y) is dilated by a scale factor k, then the new points will be (kx, ky).
Therefore,
M(-4,3) = M'(-4/2, 3/2) = M'(-2, 1.5)
N(12, 0) = N(12/2, 0/2) = N'(6, 0)
P(6, -11) = P'(6/2, -11/2) = P'(3, -5.5)
Hence the new coordinates of the dilation are M'(-2, 1.5), N'(6, 0) and P'(3, -5.5)
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What is existence and uniqueness of solution in differential equation?
A differential equation's existence and uniqueness in mathematics refers to the existence of a single, clearly defined solution that meets a certain set of requirements.
How is this determined?A differential equation is a type of mathematical equation that links a number of known functions or variables to an unknown function and its derivatives. If a differential equation has existence and uniqueness of solution, it means that there is only one function that satisfies the equation and corresponds to the given conditions for a given set of beginning circumstances.
The terms and structure of the differential equation, such as linearity and initial conditions, decide whether or not a solution exists. The Piccard-Lipschitz theorem, which asserts that if a function and its derivatives are locally Lipschitz continuous, then the solution to the differential equation is unique in a neighbourhood of the initial conditions, frequently ensures the uniqueness of the solution.
In conclusion, the existence and uniqueness of a solution in differential equations is a crucial idea in mathematical modelling and aids in making sure that the solutions to a given problem are clear-cut and consistent with the underlying conditions.
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What are some things that lincoln and Monica have in common in taking sides
Solve the differential equation (27xy + 45y²) + (9x² + 45xy)y' = 0 using the integrating factor u(x, y) = (xy(2x+5y))-1.
NOTE: Do not enter an arbitrary constant.
The general solution is given implicitly by
The given differential equation is `(27xy + 45y²) + (9x² + 45xy)y' = 0`.We have to solve this differential equation by using integrating factor `u(x, y) = (xy(2x+5y))-1`.The integrating factor `u(x,y)` is given by `u(x,y) = e^∫p(x)dx`, where `p(x)` is the coefficient of y' term.
Let us find `p(x)` for the given differential equation.`p(x) = (9x² + 45xy)/ (27xy + 45y²)`We can simplify this expression by dividing both numerator and denominator by `9xy`.We get `p(x) = (x + 5y)/(3y)`The integrating factor `u(x,y)` is given by `u(x,y) = (xy(2x+5y))-1`.Substitute `p(x)` and `u(x,y)` in the following formula:`y = (1/u(x,y))* ∫[u(x,y)* q(x)] dx + C/u(x,y)`Where `q(x)` is the coefficient of y term, and `C` is the arbitrary constant.To solve the differential equation, we will use the above formula, as follows:`y = [(3y)/(x+5y)]* ∫ [(xy(2x+5y))/y]*dx + C/[(xy(2x+5y))]`We will simplify and solve the above expression, as follows:`y = (3x^2 + 5xy)/ (2xy + 5y^2) + C/(xy(2x+5y))`Simplify the above expression by multiplying `2xy + 5y^2` both numerator and denominator, we get:`y(2xy + 5y^2) = 3x^2 + 5xy + C`This is the general solution of the differential equation.
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You work for a delivery company, and your task is to
complete billing invoices. You need to ensure that
customers are billed the right amount. Customers' bills
are based on the weight of the merchandise inside the
box that is shipped. A package that is about to be
shipped weighs a total of 23 pounds, and the box itself
weighs 2 pounds.
Mark this and return
For how many pounds do you bill the customer?
21
0 212/2
25
26
0 26/3
Save and Exit
54:3
The weight of the merchandise that will be billed to the customer is 21 pounds. Option A is correct answer.
Here's why: To determine the weight to be billed, subtract the weight of the box from the total weight of the package.
23 pounds - 2 pounds = 21 pounds.
This is because the customer is only responsible for paying for the weight of the merchandise, not the weight of the box. Therefore, the weight of the box must be subtracted from the total weight of the package to determine the weight that the customer will be billed for.
Option a is correct answer.
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Find the quotient of The quantity 32 times ten raised to the negative twenty second power end quantity divided by the quantity 8 times ten raised to the negative twenty second power end quantity.. Write the final answer in scientific notation.
The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be 4 × 10⁰. Then the correct option is D.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numbers are given below.
32 × 10⁻²² and 8 × 10⁻²²
The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be given as,
⇒ (32 × 10⁻²²) / (8 × 10⁻²²)
⇒ 32 / 8
⇒ 4 × 10⁰
The quotient of the number 32 × 10⁻²² and 8 × 10⁻²² will be 4 × 10⁰. Then the correct option is D.
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The complete question is attached below.
−1 + 6 = 5 + 8 + 4
Group of answer choices
Step-by-step explanation:
your answer is 22.
if you have -1 + 6 = 5 theres your first answer 5
5 + 8 is equal to 13
13 + 5 + 4 = 22
your answer would be a total of 22help please i’m really stuck and i need help please