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What percentage of the data in a normal distribution is more than 1 standard deviation above the mean?
34% of the data in a normal distribution is more than 1 standard deviation above the mean.
In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.
To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:
Approximately 68% of the data falls within one standard deviation of the mean.
Approximately 95% of the data falls within two standard deviations of the mean.
Approximately 99.7% of the data falls within three standard deviations of the mean.
Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.
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the sum of two numbers is 19 and their diffrence is 3
Answer:
8 and 11
Step-by-step explanation:
In an analysis of variance where the total sample size for the experiment is nTand the number of populations is k, the mean square due to error is SSE/(k-1). 0 SSTR/k
The ANOVA method is very useful when conducting research involving multiple groups or populations, as it allows researchers to test for significant differences in the means of multiple populations in a single test.
Analysis of variance is an extremely popular approach for examining the significance of population variations. It's used to estimate the population variance of two or more groups by comparing the variance between the groups to the variance within them.
ANOVA (analysis of variance) is a statistical method for determining whether or not there is a significant difference between the means of two or more groups. The total sample size in the experiment is nT, and there are k populations. The mean square due to error is SSE/(k-1), while the mean square due to treatment is SSTR/k.
The F-statistic, which is used to test the null hypothesis that there is no difference between the means of the populations, is calculated by dividing the mean square due to treatment by the mean square due to error. If the F-statistic is high, it suggests that there is a significant difference between the means of the populations, and the null hypothesis should be rejected.
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Simplify 9p²-3p²+2p²
Answer:
8p²
Step-by-step explanation:
9p²-3p²+2p²
Combine like terms.
9p²-3p²+2p² = 8p²
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Thinking about what this graph would look like, explain why the graphs representing the equations will share one point even though the prices per pound are different.
In Out
2 4.50
4 9.00
10 10.50
Answer:
Answer: 2 4.50
Step-by-step explanation:
just took test
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Answer:
HWHAHAHAHA hatdog
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y = 9 ln ( x ) about the x -axis for 1 ≤ x ≤ e
The curve y = 9 ln(x) is an increasing, concave-up function defined within the interval 1 ≤ x ≤ e with a range of 0 ≤ y ≤ 9.
The given function is y = 9 ln(x), and you want to analyze it between 1 ≤ x ≤ e. To do this, let's discuss the properties of the function within the given interval.
1. Domain: Since ln(x) is defined for x > 0, the domain of the function within the given interval is 1 ≤ x ≤ e.
2. Range: Since ln(x) is an increasing function, its minimum value occurs at x = 1 and its maximum value occurs at x = e. Thus, the range is 9 ln(1) ≤ y ≤ 9 ln(e) which simplifies to 0 ≤ y ≤ 9.
3. Behavior: The function y = 9 ln(x) is increasing within the interval 1 ≤ x ≤ e because the natural logarithm function is increasing.
4. Asymptotes: There are no asymptotes within the interval 1 ≤ x ≤ e.
5. Concavity: The function y = 9 ln(x) is concave up within the interval 1 ≤ x ≤ e because the second derivative is positive.
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How many 1/10's are in 3?
There are 30 of 1/10's in the number 3
How many 1/10's are in 3?From the question, we have the following parameters that can be used in our computation:
How many 1/10's are in 3?
The above statement is a quotient expression that has the following features
Dividend = 3
Divisor = 1/10
So, we have
Quotient = Dividend /Divisor
Substitute the known values in the above equation, so, we have the following representation
Quotient = 3/(1/10)
Evaluate
Quotient = 30
Hence, there are 30 1/10's
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Geometry:
Solve for x.
1)
Answer:
x = 2
Step-by-step explanation:
45x - 2 = 43x + 2 (alternate interior angles will be same)
45x - 43x = 2 +2
2x = 4
x = 4 ÷2
x = 2
It takes johnathen 16 minutes on get than Kelley to mow the lawn if they work together they can mow the lawn in 15 minutes
The time John will use to mow the lawn is 40 minutes.
The time Sally will use to mow the lawn is 24 minutes.
How to find the time it take each of them of mow the lawn?it takes john 16 minutes longer than Sally to mow the lawn. if they work together they can mow the lawn in 15 minutes.
Therefore, let's find the time each can mow the lawn alone as follows:
let
x = time Sally use to mow the lawn
John will take x + 16 minutes to mow the lawn.
Therefore,
1 / x + 1 / x + 16 = 1 / 15
x + 16 + x / x(x + 16) = 1 / 15
2x + 16 / x(x + 16) = 1 / 15
cross multiply
30x + 240 = x² + 16x
x² + 16x - 30x - 240 = 0
x² - 14x - 240 = 0
(x - 24)(x + 10)
Hence,
x = 24 minutes
Therefore,
time used by John = 24 + 16 = 40 minutes
time used by Sally = 24 minutes
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40x40x40 divided by 6 Help me pls
Answer:
the answer is 10666.6666667.
Step-by-step explanation:
40*40*40=64000
64000/ 6=10666.6666667
which of the following best describes jim smiley? a clever and competitive b suspicious and aggressive c bored and annoyed d gentle and tranquil
The best description of Jim Smiley would be "a clever and competitive" individual.
Jim Smiley, a character created by Mark Twain in his short story "The Celebrated Jumping Frog of Calaveras County," is depicted as a shrewd and competitive person. He is known for his cunning nature and his desire to win in various contests and competitions. Jim Smiley's cleverness and competitive spirit are central to the story's plot and characterization.
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For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar-water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?
The container whose sugar water mixture is a darker shade of red is: A. the small bowl's mixture is a darker shade of red.
What is a ratio?A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
In this scenario, the ratio of the sugar water mixture in the small bowl (S) to the sugar water mixture in the large bucket (L) can be represented by this mathematical expression:
S:L = 1:3
Also, when red coloring is added to both containers, we have:
S:L = 1r:3r
In this context, we can reasonably and logically deduce that the mixture in the small bowl would have a darker shade of red because it is less diluted in comparison with the sugar water mixture in the large bucket.
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Complete Question:
For her science fair project, Madelyn is growing crystals with sugar water. She wants to know if the size of the container has an effect on crystal growth. To start, Madelyn pours a sugar water mixture into a small bowl. Then she pours triple the amount of the mixture into a large bucket. She decides to add red coloring so the crystals are more visible. Madelyn adds the same amount of red coloring to both containers. Which container's sugar water mixture is a darker shade of red?
answer choices
The small bowl's mixture is a darker shade of red.
The large bucket's mixture is a darker shade of red.
Neither. The mixtures are the same shade of red.
A study was conducted to compare the proportion of drivers in boston and new york who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in boston was 0. 581 and the proportion wearing seat belts in new york was 0. 832.
z = -2.51 is the required test statistic.
What is the test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic.
A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.
The probability value, or p-value, indicates the likelihood that your data could have been true under the null hypothesis.
This is accomplished by estimating the probability of your test statistic, which is the figure obtained from a statistical analysis of your data.
So, we have to use: Ha: pB < pNY
This implies that the alternative thesis is revised as follows:
Ha: pB - pNY < 0
In contrast to the null hypothesis:
H₀: pB - pNY = 0
This is the test statistic:
z = X - μ/a
Now, pB = 0.581, pNY = 0.832.
It follows that: X = 0.581 - 0.832 = -0.251
The test for the null hypothesis is 0.
This follows to: μ = 0
Standard deviation: 0.1
This follows to: s = 0.1
Test statistic:
z = X - μ/a
z = -0.251-0/0.1
z = -2.51
Therefore, z = -2.51 is the required test statistic.
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Complete question:
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.
Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
determine whether the series converges or diverges. [infinity] n2 6n3 − 4 n = 1
This limit diverges to negative infinity. Therefore, by the divergence test, we can conclude that the given series diverges.
To determine whether the series converges or diverges, we can use the limit comparison test. We will compare the given series with the series 1/n^2, which is a known convergent series.
Taking the limit as n approaches infinity of the ratio of the two series, we get:
lim (n^2(6n^3-4))/(1(n^2)) = lim (6n^5 - 4n^2)/(n^2) = lim 6n^3 - 4 = infinity
Since the limit is infinity, the two series do not have the same behavior. Therefore, we cannot conclude whether the given series converges or diverges using the limit comparison test.
Alternatively, we can use the divergence test, which states that if the limit of the terms of a series does not approach zero, then the series diverges.
Taking the limit as n approaches infinity of the terms of the given series, we get:
lim (n^2(6n^3-4))/(n^3) = lim 6n - 4/n = infinity
Since the limit is infinity, the terms of the series do not approach zero. Therefore, by the divergence test, we can conclude that the given series diverges.
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nonsense will be reported help and offering brainiest
Answer:
B. "R is 85% of the original cost."
Step-by-step explanation:
The given equation is P - 0.15P = R, where P is the original cost of the shirt and R is the discounted price that Brandon paid.
Simplifying the equation, we get:
0.85P = R
Dividing both sides by P, we get:
0.85 = R/P
Therefore, the discounted price R is 85% of the original cost P.
So, the answer is (B) "R is 85% of the original cost."
Moure a conteitint on a TV garne show. In the final round of the gatwe, if cortestants answer a question correctly, they will ificrease their oarrent wirnngs of 93 milion to 54 milion. If they are wrom9. their prize is decreased to 52,250.000. You believe you harve a 25% chumce of ariwerne the question correctly. 1gnoring your ourtent winnings, your expected payoft from plixyng the find found of the garve show is Finenthat this is play the firsal round of the garne. (1tint: Enter a negative sign if the expected payofi is negative.) The lowest probatuly of a correct guess that woudd make the guessing in the final found prefitatie (en expected value) is (1tintirmat what probablity does playing the find round yelis an expected value of zera7)
The expected payoff from playing the final round of the game show is -40,312,500
To calculate the expected payoff from playing the final round of the game show, we need to consider the probabilities of answering the question correctly or incorrectly, as well as the corresponding winnings.
Given:
Correct answer: Increase winnings from 93 million to 54 million
Incorrect answer: Decrease winnings to 52,250,000
Probability of answering correctly: 25%
Let's calculate the expected payoff:
Expected payoff = (Probability of correct answer * Winnings from correct answer) + (Probability of incorrect answer * Winnings from incorrect answer)
Expected payoff = (0.25 * (54,000,000 - 93,000,000)) + (0.75 * (52,250,000 - 93,000,000))
Simplifying the equation:
Expected payoff = (0.25 * (-39,000,000)) + (0.75 * (-40,750,000))
Expected payoff = -9,750,000 - 30,562,500
Expected payoff = -40,312,500
Therefore, the expected payoff from playing the final round of the game show is -40,312,500. This means that, on average, you can expect to lose this amount if you decide to play the final round. It would not be profitable to play the final round based on these probabilities and winnings.
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Find the maximum of (x,y,z)=x+y+zf(x,y,z)=x+y+z
Find the maximum of ƒ(x, y, z) = x + y + z subject to the two constraints x² + y² + z² = 6 and ¹x² + y² + 4z² = 6. (Use decimal notation. Round your answer to three decimal places.) maximum:
The maximum value of the function ƒ(x, y, z) = x + y + z subject to the given constraints x² + y² + z² = 6 and ¹x² + y² + 4z² = 6 is √6.
To find the maximum value of ƒ(x, y, z), we can use the method of Lagrange multipliers. We need to consider the function ƒ(x, y, z) along with the two constraint equations x² + y² + z² = 6 and ¹x² + y² + 4z² = 6.
Let's define the Lagrange function F(x, y, z, λ, μ) as follows:
F(x, y, z, λ, μ) = x + y + z + λ(x² + y² + z² - 6) + μ(¹x² + y² + 4z² - 6)
We need to find the critical points of F by taking the partial derivatives with respect to x, y, z, λ, and μ, and setting them equal to zero. After solving the system of equations, we find that x = y = z = ±√6/3, and λ = μ = ±1/√6.
Now, we evaluate the value of ƒ(x, y, z) at these critical points. Plugging in the values, we get ƒ(√6/3, √6/3, √6/3) = √6.
Therefore, the maximum value of ƒ(x, y, z) subject to the given constraints is √6.
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a store clerk is stocking the shelves. he places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. what is the total weight in kilograms? (2 points)16.70 kilograms1.670 kilograms167 kilograms1,670 kilograms
The store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. The total weight in kilograms is 1.67 kilograms.
Given:
The weight of the box of cereal = 850 grams.
The weight of the box of granola bars = 385 grams.
The weight of the box of crackers = 435 grams.
The total weight in kilograms of the above boxes.
Total weight of the boxes = 850 + 385 + 435 grams= 1670 grams.
To convert grams to kilograms, we divide it by 1000.
So, the weight in kilograms= 1670/1000= 1.67 kilograms.
Hence, the total weight in kilograms of the above boxes is 1.67 kilograms.
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write 540 as a product of prime factor
Answer:
The prime factorization of 540 is 2, 2, 3, 3, 3, and 5. To find this answer, we can start by extracting the prime number 5 as one of the factors.
Step-by-step explanation:
A local restaurant charges $15 for a jumbo cheese pizza and $1.35 for each additional topping. Write an equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.
An equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza is y = 1.35 x + 15.
As per the data given:
A local restaurant charges $15 for a jumbo size cheese pizza.
Each of the additional topping costs $1.35.
Here we have to determine an equation, in the slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.
Considering y as the cost of pizza and x be the amount of topping added.
Cost of a pizza with toppings
y = 1.35 x + 15
The equation for the slope-intercept form is y = mx + c
m will be the slope of the equation.
Here, the slope of the equation is 1.35
The Y-intercept is equivalent to the price of the base pizza i.e. 15
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pring 2022
English
Maribel was working at the fruit stand and had to find how much change to give a customer. The customer bought 11
oranges at $0.65 each and paid with a $10 bill. Use c to represent the amount of change and choose the correct
equation
Answer:
c = 10 - 11(0.65)
Step-by-step explanation:
The equation is :
c = 10 - 11(0.65)Change will be :
c = 10 - 7.15c = $2.85Let's find
c=10-11(0.65)c=10-11(65/100)c=10-7.15c=$2.85Mina takes her test at 1:15 pm. What will time will it be 135 minutes after 1:15 pm?
Answer: 3:30
Step-by-step explanation:
in techer school leader incentive program, there's a requirement that over half of schools in a funded district have to have over 50% of students eligible for frpl.
The intention is to bridge the achievement gap and provide equal educational opportunities for all students, regardless of their socioeconomic background.
In the teacher school leader incentive program, there is a requirement that over half of the schools in a funded district have to have over 50% of students eligible for Free or Reduced Price Lunch (FRPL). This requirement aims to address and support schools with a significant proportion of economically disadvantaged students.
The purpose of this requirement is likely to target districts where a substantial number of students come from low-income backgrounds. By focusing on districts with a high percentage of FRPL-eligible students, the program aims to provide additional resources and incentives to improve educational outcomes for these disadvantaged students.
Having over half of the schools meet this criterion ensures that a majority of schools in the district, which are likely to serve a significant portion of the student population, receive additional support. This can include financial resources, professional development opportunities, and other incentives to attract and retain effective teachers and school leaders.
By targeting districts with higher levels of economic disadvantage, the program aims to promote equity in education by providing additional resources to schools serving students who may face unique challenges associated with poverty. The intention is to bridge the achievement gap and provide equal educational opportunities for all students, regardless of their socioeconomic background.
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To visit the top of the Empire State Buidling, a ticket
cost $20.00 in 2009. In 2020, the price rose to $50.00. What was the percent increase?
Answer:
Step-by-step explanation:
the percent increase is
(50-20/20)*100=(30/20)*100=150
150% increase
Based on the ratio shown in the double number line, what is the cost for 1 kilogram of avocados?
Answer:
15
Step-by-step explanation:
Answer:
Can you show us the picture of the double number line?
Step-by-step explanation:
That would be helpful! :)
Can anybody help?? <><><><><>><><><><><><><><><><>
Answer:
where is the question..............
Write the percent as a fraction in simplest form.
240%
Answer:
12/5
Step-by-step explanation:
All percentages are the number over 100. So, this would be 240/100.
Now, we can simplify. The easiest thing to do right now would be to divide both numbers by 10 to get 24/10.
Now, we can divide them by two to simplify further to get 12/5.
This will be the final number as we cannot simplify any further.
I hope I helped! <3
12/5
Step-by-step explanation:
24/100 divide to tho lowest form by an digit that can go into it perfectly that your answer
Help please will give brainliest to the first CORRECT answer
Answer:
part A: 4 batches of pancakes
part B: draw something this I think
May 03, 2023
i) y = -1/2x² + 6x + 5
2
Step-by-step explanation:
To evaluate y when x = 2 in the equation y = -1/2x² + 6x + 5, we simply substitute x = 2 into the equation and solve for y:
y = -1/2(2)² + 6(2) + 5
y = -1/2(4) + 12 + 5
y = -2 + 12 + 5
y = 15
Therefore, when x = 2, y = 15 in the equation y = -1/2x² + 6x + 5.