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.
Answers
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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Related Questions
Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82.
Answers
68.26% of students out of 500 would score between 68 and 82 if the mean is 75 and standard deviation is 7.
What is meant by standard deviation?A low standard deviation suggests that values are often close to the mean (also known as the anticipated value) of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.
Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Given,
Mean μ=75
σ=7
By using normal distribution,
P(68<x<82)=P(((68-μ)/σ)<z<((82-75)/7))
P(-1<z<1)
P(z<1)-P(z< -1)
By using z-table, we get
=0.8413-0.1587
=0.6826
P(68<x<82)=0.6826≈68.26
P(68<x<82)=68.26%
Therefore, 68.26% of students out of 500 would score between 68 and 82 if the mean is 75 and standard deviation is 7.
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This figure has two intersecting lines and a ray.
What is the value of x?
Enter your answer in the box.
x =
The figure contains a pair intersecting lines. One of the four angles formed by the intersecting lines is labeled 146 degrees. The angle opposite and not adjacent to this angle is broken into two smaller angles by a ray that extends from the point where the two lines intersect. One of these smaller angles is labeled 58 degrees, and the other smaller angle is labeled x degrees.
Answers
The 146°, and the x and 58° which are vertical angles formed by the two intersecting lines where the x and 58° are formed by the ray gives the measure of x as 88°
What are vertical angles?Vertical angles or vertically opposite angles are the angles formed by two intersecting lines and which are on either side to each other
The description parameters are;
The objects in the figure includes; Two intersecting lines and a ray
The measure of one of the angles formed by the intersecting lines = 146°
The vertically opposite angle to the 146° angle is broken into = x and 58°
Required; The value of x
Solution; The vertical angles theorem states that vertically opposite angles that are formed when two lines intersect, are congruent.
In geometry, two figures are congruent when they exactly coincide when they are superimposed, which means that the two figures have the same measurement.
Given that 146° is congruent to x + 58°, we have;
146° = x + 58° Definition of congruency and angle addition postulate
x = 146° - 58° = 88°
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Solve the equation. (Enter your answers as a comma-separated list.)x210x − 6x10x = 27(10x)x =
Answers
Answer:
x = -3, 9
Explanation:
First, let us divide both sides of the equation by 10^x; this gives,
\(\frac{x^210^x-6x\times10^x}{10^x}=\frac{27\times10^x}{10^x}\)\(\Rightarrow x^2-6x=27\)subtracting 27 from both sides gives
\(x^2-6x-27=0\)The left-hand side can be factored as
\((x-9)(x+3)=0\)which gives us two further equations
\(\begin{gathered} x-9=0 \\ \boxed{x=9.} \end{gathered}\)\(\begin{gathered} x+3=0 \\ \Rightarrow\boxed{x=-3.} \end{gathered}\)Hence, the two solutions we get are x = 9 and x = -3.
This box plot shows information about the marks scored in a test.
a) What was the median number of marks scored?
b) What was the interquartile range of the marks?
c) What was the range of the marks?
Answers
Answer:
a) 58
b) 38
c) 76
Step-by-step explanation:
a) Here we want to get the median
The median of the number is the 3rd line
The value here is 58
b) The interquartile range is the difference between the first and third quartile
The third quartile is the 4th line and its value is 72
The first quartile is the second line which is 34
The interquartile range is thus; Q3-Q1
= 72-34 = 38
c) The range is the difference between the highest and lowest values
The highest value is 86
The lowest value is 10
The range is thus;
86-10 = 76
Given h(x) = -2x + 5, find h(-6).
Answers
Answer:
h(-6) = 17
Step-by-step explanation:
h(-6) = -2(-6) + 5 = 12 + 5 = 17
Hope this helps
describe how you can use fraction models to solve 4 2/6 + 1 1/3
Answers
Answer:
By drawing rectangles, splitting them into sixths, and shading in the numbers we're adding to get a final sum of 5 4/6, or 5 2/3.
Step-by-step explanation:
1/6 is basically half of 1/3, so if we're making a fraction model we can just divide rectangles into sixths. You can draw maybe 7, because you know that 4+1 is going to be 5. Draw the rectangles and divide them each into 6. 1/3 is just going to be 2 sections of that rectangle. You can shade in first 4 whole rectangles, then 1 to represent the whole numbers. For 2/6, just shade in 2 sections! For 1/3, shade in 2 as well, because 1/3 and 2/6 are equivalent. Count up your rectangles and sections, and you should get a sum of 5 4/6, which can be simplified into 5 2/3.
Hope this helps! If you need clarification, or if I didn't answer the question right, you can ask!
Work out the value of 5 to the power of a if it equal 1/125
Answers
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125
a bag contains 2 coins, one fair and the other with 2 heads. you pick 1 coin at random and flip it. what is the probability that you picked the fair coin given that the outcome of the toss was heads?
Answers
The probability that you picked the fair coin given that the outcome of the toss was heads is 1/3.
There is a one in two chance of drawing the fair coin. The chances of flipping heads again are 1 in 2. As a result, there is a 1 in 4 chance that the coin will land on heads.
There is a one in two chance of drawing the trick coin. The probability of flipping heads is then 2 to 1. As a result, there is a 2 in 4 chance that the coin will land on heads.
When each is multiplied by four, the resulting integers are
fair: 1 and trick: 2
and overall results: 3. (fair and tails is not counted)
The likelihood of a fair coin is one in three.
The likelihood that the chosen coin will show heads and be the fair coin is 33.333%.
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The geometry of the clf3 molecule is best described as
a. distorted tetrahedral.
b. tetrahedral.
c. trigonal pyramidal.
d. trigonal planar.
e. t-shaped.
Answers
Answer:
The right option is option e.T-shaped.
Step-by-step explanation:
The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs
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Option e) T-shaped
Hybridization in chemistry is defined as the concept of mixing two atomic orbitals to create a new type of hybridized orbital. This mixing often leads to the formation of hybrid orbitals of different energies, shapes, etc. completely different. During hybridization, atomic orbitals of equivalent energies are mixed and mainly involves the fusion of two "s" or two "p" orbitals, or the mixing of "s" orbitals with the "p"" orbitals as well as "s` orbitals with `d` orbitals. The newly formed orbitals are called hybrid orbitals.The shape or molecular geometry of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.
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What is the difference between the highest and lowest points in a data set?the mean the median the mode the range
Answers
Answer:
Range
Step-by-step explanation:
Range is found by subtracting the highest and lowest point in the dataset
Mode is the number that occurs most frequently in the set
Median is the central number in the dataset when arranged from lowest to highest
Mean is the sum of all the numbers in the dataset divided by how many numbers there are.
For example, take this list of numbers: 10, 10, 20, 40, 70.
The mean (also known as average) is found by: 10 + 10 + 20 + 40 + 70 / 5 = 30.
The median is found by ordering the set from lowest to highest and finding the exact middle. The median is just the middle number: 20.
PLEASE HELP :(
Mario is spending the day at the county fair. The admission ticket costs $10.00. Each ride ticket costs $2.50.
Which equation can be used to find y, the total cost of Mario’s day at the fair, given x represents the number of ride tickets he purchases?
y = 2.50x + 10
y=2.50(x+10)
y = 10x + 2.50
y=2.50x−10
Answers
Answer:
y = 2.50x + 10
Step-by-step explanation:
y=mx+b
x=number of rides
y=cost
Answer:
a is the answer
Step-by-step explanation:
Your manager wants to use the total accurate classification rate (percent of all cases properly classified) as the metric to evaluate the division's models. Is this a good idea? Why or why not? Select all that apply. A. Good idea; There is no difference between a false positive and a false negative error. A percent of all cases properly classified separates correct classifications from errors. B. Not a good idea; There are frequently differential costs to errors. One error may have larger consequences than another so a percent of correct classifications would not account for these varying costs. C. Not a good idea; We are frequently predicting classification in which the probability of each group is quite different, simply guessing the majority category will frequently result in an excellent overall classification rate. D. Not a good idea; The division's models always results in a 95% accuracy rate. Using the total accurate classification rate would result in all models appearing equal when they are not.
Answers
considering additional factors such as the costs of errors, the distribution of probabilities, and distinguishing between models with high accuracy rates can provide a more comprehensive evaluation of the division's models.
B. Not a good idea; There are frequently differential costs to errors. One error may have larger consequences than another, so a percent of correct classifications would not account for these varying costs.
C. Not a good idea; We are frequently predicting classification in which the probability of each group is quite different, simply guessing the majority category will frequently result in an excellent overall classification rate.
D. Not a good idea; The division's models always result in a 95% accuracy rate. Using the total accurate classification rate would result in all models appearing equal when they are not.
The total accurate classification rate, which measures the percent of all cases properly classified, may not be a good idea as the sole metric to evaluate the division's models. This is because:
B. There are frequently differential costs to errors. Different types of errors may have varying consequences, and a simple percent of correct classifications does not account for these varying costs.
C. Predicting classifications where the probability of each group is significantly different can lead to excellent overall classification rates by simply guessing the majority category, which may not truly reflect the model's performance.
D. If the division's models consistently produce a high accuracy rate (e.g., 95%), using the total accurate classification rate alone would make all models appear equal, even though they may have different levels of performance or predictive abilities.
In summary, considering additional factors such as the costs of errors, the distribution of probabilities, and distinguishing between models with high accuracy rates can provide a more comprehensive evaluation of the division's models.
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The probability of a unit falling below the LSL and the probability of a unit being above the USL is the same when the ____ of the distribution is in the middle of the tolerance interval.
Answers
The probability of a unit falling below the Lower Specification Limit (LSL) and the probability of a unit being above the Upper Specification Limit (USL) is the same when the mean of the distribution is in the middle of the tolerance interval.
In a manufacturing or quality control context, a tolerance interval represents the acceptable range of values for a certain characteristic of a product. The Lower Specification Limit (LSL) defines the lower end of the acceptable range, while the Upper Specification Limit (USL) defines the upper end.
When the mean of the distribution is in the middle of the tolerance interval, it implies that the distribution is symmetric and centered within the tolerance limits. In this scenario, the distribution is balanced around the mean, and the probability of a unit falling below the LSL is equal to the probability of a unit being above the USL.
This equality in probabilities occurs because the distribution is equally distributed on both sides of the mean. As a result, the proportion of units falling below the LSL is the same as the proportion of units exceeding the USL. This balance indicates that the process is centered within the tolerance limits, which is desirable in manufacturing to ensure that both underperforming and overperforming units are equally unlikely.
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Brandon bought a jacket on sale for 40% off the original price an additional 25% off they discounted price of the jacket originally cost $60 what was the final cost without tax the Brandon paid for the jacket
Answers
The final cost be $27.
Given that,
Brandon bought a jacket on sale for 40% off the original price an additional 25% off they discounted price of the jacket originally cost $60.Based on the above information, the calculation is as follows:
\(= \$60 \times (1-0.40) \times (1-0.25)\)
= $27
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result of 5 and 75 with dividid by 3
Answers
Answer:
your answer is 30
Step-by-step explanation:
I hope this help
which fraction is greater 1/3 or 1/9
Answers
Answer:
1/3
Step-by-step explanation:
1/9 is one piece in total of 9 but 1/3 is one piece in total of 3
The table below shows the choices made by 123 players on the first turn of a Rock-Paper-Scissors game. Recall that rock beats scissors which beats paper which ...
Answers
adioabiola
Ace
13.7K answers
72.6M people helped
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform System A into System B?
To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step by step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
The complete image is attached.
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How can you use angle measures to prove that lines are parallel?
Answers
Answer:
Step-by-step explanation:
The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.
Car price $118,191
Percent for car loan: 2.49%
36 months
Find monthly payment show work
Answers
Answer:
3410.64
Step-by-step explanation:
Gonna assume that the 2.49 is the APR
present value of the loan= present value of the payments
effective rate: .0249/12= .002075
x= payment
\(118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317\)
can someone help me (quick!)
Answers
Answer:
Kelly's mistake is y > 2x-1
She can fix by the inequality: y ≥ 2x-1
Step-by-step explanation:
y ≥ 2x-1
y ≤ -x+5
y > 2x-1 should be greater than less than; y ≥ 2x-1 to point (2,3)
Let f(x) = -5x + 6. Find and simplify f(p). f(p) = (Simplify your answer.)
Answers
To find and simplify f(p), where f(x) = -5x + 6, we substitute the variable p into the function and evaluate it. The simplified expression for f(p) is -5p + 6.
In this case, the function f(x) is given as -5x + 6. To find f(p), we substitute p in place of x in the function. Substituting p into the expression, we get -5p + 6. Thus, the simplified form of f(p) is -5p + 6.
The function f(x) represents a linear equation with a slope of -5 and a y-intercept of 6. When we substitute p for x, we essentially evaluate the function at the value p. The result, -5p + 6, gives us the value of f(p) for the given value of p. The expression -5p + 6 represents the linear equation with the same slope and y-intercept as the original function, but evaluated at the specific value of p. This means that if we substitute any value of p into f(p), the result will be -5 times that value plus 6.
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A car drove 5 miles in 30 minutes. How far will the car go in 1 hour?
Answers
Answer: 10 miles
Step-by-step explanation:
Practically, just look at it. 30 minutes = 5 miles, 60 minutes = 10 miles
Mathmatically, find the constant of proportionality.
30 minutes divided by 5 miles = 6 minutes per 1 mile. 60 minutes = 10 miles
Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing
Answers
The correct equations of the parabola are y² = x, y² = 10x, and y² = 5x, making options C, D, and F the right choices.
A cone and a plane perpendicular to its side cross to form a symmetrical open plane curve known as a parabola. Under the influence of gravity, a bullet will travel along a curve that looks like this.
Lauren defines a parabola with a focus that has a positive, non-zero coordinate value in the posed query.
The parabola's equation of focus is given as:
y = a(x - h)² + k.
Among the given option, only the options:
y² = x,
y² = 10x, and
y² = 5x, satisfies this equation.
This proves that Lauren might be describing options C, D, or F.
Thus, the correct equations of the parabola are y² = x, y² = 10x, and y² = 5x, making options C, D, and F the right choices.
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The provided question is incomplete. The complete question is:
"Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing? Check all that apply.
x2 = 4y
x2 = –6y
y2 = x
y2 = 10x
y2 = –3x
y2 = 5x"
Maggie's brother is 3 years younger than four times her age. The sum of their ages is 62. How old is Maggie? Maggie is years old.
Answers
Answer:
Maggie is 13 years old.
Step-by-step explanation:
1M + 1B = 62
rearrange to get:
1B = 62 - 1M
4M - 3 = 1B
substitute B with 62 - 1M so there is only one variable. this gives:
4M - 3 = 62 - 1M
Get all the variables on one side:
4M + 1M - 3 = 62
Get all non variables on the other side:
4M + 1M = 62 + 3
simplify:
5M = 65
Divide both sides by 5 to get the M by itself:
M = 13.
BONUS:
M + B = 62
B = 49
So her brother is 49 years old.
Maggie is 13 years old.
PLS HELP ME WITH THIS ASAPP
Answers
The value of the function f(x) at x = 1.477.
f(1.477) = 32.857
The value of the function g(x) at x = 20.
g(20) = 1.729
We have,
Two functions:
f(x) = b^x
g(x) = log_b(x)
Now,
From the table,
f(0.699) = b^0.699 = 5
Taking the logarithm of both sides with base b.
log_b(5) = 0.699
b = 5^(1/0.699)
b = 8.343
Now, we can find the value of f(1.477).
f(1.477) = b^1.477 = 8.343^1.477 = 32.857
Similarly, we can find the value of g(20).
g(20) = log_b(20) = log_8.343(20) = 1.729
Thus,
The value of the function f(x) at x = 1.477.
f(1.477) = 32.857
The value of the function g(x) at x = 20.
g(20) = 1.729
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Question 10 PLEASE HELP FAST ILL GOVE BRAINLIST AND EXTRA POINTS MAKE SURE YOU EXPLAIN YOURSELF
Answers
Answer:
D
Step-by-step explanation:
Hope this helps!! :D thanks!!
Answer:
D
Step-by-step explanation:
Instructions: Drag and drop the correct definition to each term.
Answers
Step 1
The slope(m) is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.
From the question we will have;
\(\begin{gathered} slope=m=\frac{y_2-y_1}{x_2-x_1} \\ rise=y_2-y_1 \\ run=x_2-x_1 \end{gathered}\)\(y-intercept=b=(0,b)\)car payment calculator with trade-in negative equity
Answers
When calculating car payments with trade-in negative equity, it's important to consider the total amount owed on your current car loan. Negative equity occurs when the value of your trade-in vehicle is less than the remaining loan balance.
To incorporate this into your car payment calculation, subtract the negative equity amount from the trade-in value, and add it to the purchase price of the new car. The resulting total will be the amount financed. You can then use an online car payment calculator, considering factors like interest rate, loan term, and down payment, to determine your monthly payments.
By using a car payment calculator that accounts for trade-in negative equity, you can obtain a more accurate estimate of your monthly payments. This allows you to make an informed decision regarding your budget and financing options. Remember to consider all aspects of the transaction, including trade-in value, remaining loan balance, purchase price, and loan terms, to get a comprehensive understanding of your car payment obligations.
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To calculate a car payment with trade-in negative equity, you'll need a few pieces of information. Here's what you need:
Loan amount: The total amount you need to borrow for the new car (including the negative equity from your trade-in).
Loan term: The length of the loan in months.
Interest rate: The annual interest rate on the loan.
Trade-in value: The appraised value of your trade-in vehicle.
Negative equity: The amount you owe on your trade-in vehicle that is more than its appraised value.
Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!
Answers
Answer:
8
Step-by-step explanation:
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
What is the answer to -25X = 225
Answers
Answer:-9
Step-by-step explanation: Divide each term by -25 and simplify