Answer:
The third graph
Step-by-step explanation:
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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a 'scooped' pyramid has a cross-sectional area of x 4 at a distance x from the tip. what is its volume if the distance from tip to base is 5?
The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.
To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).
Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:
Volume = (1/3) x Base Area x Height
In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:
Volume = (1/3) x 16 x 5
Volume = 26.6667 cubic units
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solve the following equation 2x-7/4=x+3/3
Answer:
x=11/4
Step-by-step explanation:
2x-7/4=x+3/3
2x-7/4=x+1
-x -x
x-7/4=1
+7/4 +7/4
x=11/4
In a basketball game, Alana scores twice as many points as Taylor. Taylor scores four points fewer than Nancy, and Nancy scores three
times as many points as Molly. If Molly scores 6 points, how many points did Alana score?
Determine your answer by first determining how many points each other player scored:
1. Nancy scores
2. Taylor sco res
3. Alana scores
points.
points.
points.
Sue washes 25 cars in 5 hours. This means Sue washes cars per hour
Answer:
she washes 5 cars per hour
Answer:
Sue washes 5 cars an hour
Step-by-step explanation:
25/5 = 5 cars an hour
show that every infinite turing-recognizable language has an infinite decidable subset
The set of all strings accepted by M is an infinite decidable subset of L.
Every infinite Turing-recognizable language has an infinite decidable subset.
Let's prove this theorem.
We must know the properties of the Turing recognizable language before the proof. A language is considered Turing recognizable if a Turing machine M accepts all strings in the language, and either rejects or loops forever on all strings not in the language. We can define that any language is infinite if it contains infinite strings.
Similarly, the set of all strings in the language is infinite if the language is infinite.
Let us suppose that L is an infinite Turing-recognizable language over the alphabet Σ. It implies that there exists a Turing machine M that accepts all the strings in L. We need to consider the following facts to prove that every infinite Turing-recognizable language has an infinite decidable subset:
If a Turing machine accepts an infinite number of strings in a language L, then it accepts at least one infinite subset of the language.
Suppose that a Turing machine accepts a language L, then the set of all strings accepted by the Turing machine is decidable.
Now, let's construct a new Turing machine M′ that works in the following manner:
In the first step, M' simulates M on the input w.
In this step, M' generates the strings of Σ* in some order.
In this step, for each string generated in step 2, M' runs M on that string. If M accepts that string, then M' outputs the string.
Suppose that there are only finite strings of L that are accepted by M. It implies that M has an infinite loop on all other strings not in L.
since M′ generates the strings of Σ* in some order, M′ will eventually simulate M on the string w for which M has an infinite loop.
Therefore, M′ will be in an infinite loop and will never halt.
So, the set of all strings accepted by M is infinite. We can say that the set of all strings accepted by M is an infinite decidable subset of L.
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help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
3/2 is equivalent to 2/3 because
when u do 3/2 that means ur
doing 3x2 and 3x2 equals 6 and 2x3 eqauls 6.
What is the volume of this container?
Answer:
1,253 in³
Step-by-step explanation:
The container can be split into two rectangular prisms. Adding their volumes together will give us the volume of the container.
The formula for the volume of a rectangular prism is length×width×height or base×height
Let's substitute!
(l×w×h)+(l×w×h)
=(7×5×5)+(11×14×7)
=175+1078
=1,253 in³
Hope this helps!
The function f(x) = 4x + 5,000 represents the amount of money a television is being sold for, where x is the number of televisions being manufactured. The function g(x) = 20x − 500 represents the cost of production, where x is the number of televisions being manufactured. What is (f − g)(100)? Explain. $6,900 is the profit made from 100 televisions. $3,900 is the profit made from 100 televisions. $6,900 is the cost of manufacturing 100 televisions. $3,900 is the cost of manufacturing 100 televisions.
Answer:
$3.9K is the profit made from 100 TVs
Step-by-step explanation:
Step-by-step explanation:
the profit is defined by
Profit=Gain-cost
In this case (F-g)(100)= is the profit to sell 100 television and is calculated
F(x)-g(x)=4x+5000-(20x-500)=4x-20x+5000+500=-16x+5500=-16*(100)+5500=3900
3900=3.9k
Answer: 3,900 PROFIT MADE from 100 tv
Step-by-step explanation:
8
Here is a list of ages (years) of
children in a room:
5, 9, 10, 10, 5, 2, 5
2
State the median.
Answer:
5+9+10+10+5+2+5+2
Step-by-step explanation:
48÷8=6
6 is median of given data
is it possible to have triangle with 3 cm 6 cm and 7 cm sides if yes then
Answer:
No
Step-by-step explanation:
Step-by-step explanation:
Yes it is possible to have a triangle with 3 cm, 6 cm and 7 cm sides because in order to form a triangle the length of two sides of a triangle should exceed the third side as shown below :
3 + 6 > 7
9 > 7( True) ✔
6 + 7 > 3
13 > 3 ( True) ✔
7 + 3 > 6
10 > 6 ( True) ✔
Hope it will help :)
What is the measurement of angle 2?
what’s the measurement of angle 3?
what’s the measurement of angle 4?
what’s the measurement of angle 6?
what’s the measurement of angle 8?
PLEASE QUICK RESPONSE !!! HELPP !
The Cubs are playing the Red Sox in the World Series. To win the world series, a team must win 4 games before the other team does. If the Cubs win each game with probability $\dfrac{3}{5}$ and there are no ties, what is the probability that the Cubs will win the World Series
The probability that the Cubs will win the World Series is approximately 0.21048 or 21.05% (in percent form).
How to find the probability?To calculate the probability that the Cubs will win the World Series, we need to consider the different possible outcomes.
In order for the Cubs to win the World Series, they must win 4 games before the Red Sox do. This can happen in several ways:
The Cubs win in exactly 4 games: The Cubs win the first 4 games and the Red Sox win 0 games.The Cubs win in 5 games: The Cubs win 4 games and the Red Sox win 1 game, with the Cubs winning the last game.The Cubs win in 6 games: The Cubs win 4 games and the Red Sox win 2 games, with the Cubs winning the last two games.The Cubs win in 7 games: The Cubs win 4 games and the Red Sox win 3 games, with the Cubs winning the last three games.Let's calculate the probability for each scenario and then add them up to find the total probability.
Probability of the Cubs winning in exactly 4 games: (3/5)⁴ = 0.1296Probability of the Cubs winning in 5 games: (3/5)⁴ * (2/5) = 0.05184Probability of the Cubs winning in 6 games: (3/5)⁴ * (2/5)² = 0.020736Probability of the Cubs winning in 7 games: (3/5)⁴ * (2/5)³ = 0.0082944Now, we can add up these probabilities to find the total probability of the Cubs winning the World Series:
Total probability = 0.1296 + 0.05184 + 0.020736 + 0.0082944 = 0.21048
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The probability that the Cubs will win the World Series is approximately 0.3456 or 34.56%.
Explanation:To calculate the probability that the Cubs will win the World Series, we can consider the different possible outcomes of the series. If the Cubs win a game with a probability of 3/5, then the Red Sox win a game with a probability of 2/5. The Cubs need to win 4 games in total to win the series, so the probability can be calculated using the binomial distribution.
The probability that the Cubs win the World Series can be found by summing the probabilities of each possible outcome where the Cubs win 4 games before the Red Sox. The formula for this is:
P(Cubs win the World Series) = (4 choose 4) * (3/5)^4 * (2/5)^0 + (4 choose 3) * (3/5)^3 * (2/5)^1 + (4 choose 2) * (3/5)^2 * (2/5)^2 + (4 choose 1) * (3/5)^1 * (2/5)^3
Simplifying this expression, the probability that the Cubs win the World Series is approximately 0.3456 or 34.56%.
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Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are given respectively by the
functions
and
1
f(x)= x+
g(x) =
10
9
10
2.2
0= 0.543.5 +0.46
(a) What percent of the total income do the richest 20% of bankers receive? Note: Round off to two decimal places if necessary.
(b) Compute for the Gini index of f(x) and g(x). What can be implied from the Gini indices of f(x) and g(x)?
(a) To determine the percent of total income received by the richest 20% of bankers, we need to calculate the area under the Lorenz curve for the corresponding 20% of the population.
To find this value, we integrate the function f(x) from 0 to 0.2. The integral of f(x) from 0 to 0.2 can be calculated as follows:
∫[0 to 0.2] (x + 1/10) dx = [(1/2)x^2 + (1/10)x] [0 to 0.2]
= [(1/2)(0.2)^2 + (1/10)(0.2)] - [(1/2)(0)^2 + (1/10)(0)]
= [(1/2)(0.04) + (1/10)(0.2)] - 0
= 0.02 + 0.02
= 0.04
Therefore, the richest 20% of bankers receive 0.04 or 4% of the total income.
(b) The Gini index is a measure of income inequality. It ranges from 0 to 1, where 0 represents perfect equality (every individual has the same income) and 1 represents maximum inequality (one individual has all the income).
To calculate the Gini index for f(x), we need to compute the area between the Lorenz curve f(x) and the line of perfect equality, which is the line connecting (0, 0) and (1, 1).
First, we calculate the area under the Lorenz curve f(x):
∫[0 to 1] (x + 1/10) dx = [(1/2)x^2 + (1/10)x] [0 to 1]
= [(1/2)(1)^2 + (1/10)(1)] - [(1/2)(0)^2 + (1/10)(0)]
= 1/2 + 1/10
= 6/10
= 0.6
Next, we calculate the area under the line of perfect equality, which is a triangle:
Area of the triangle = (1/2) * base * height = (1/2) * 1 * 1 = 1/2
The Gini index is given by the formula:
G = (A - B) / A
where A represents the area under the line of perfect equality, and B represents the area between the Lorenz curve and the line of perfect equality.
For f(x):
A = 1/2
B = 0.6
G = (1/2 - 0.6) / (1/2) = -0.2 / (1/2) = -0.4
The Gini index for f(x) is -0.4.
For g(x), the same steps can be followed to calculate the Gini index. However, the specific calculations are not provided in the given information.
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Some one explain this
Answer:
13
Step-by-step explanation:
The triangles ABC and DEC are the exact same.
That also means that angle b in the same as angle E
You can then do: 3x=6x-39 (because they are the same)
then simplify:
39=3x
x=13
hope this helped! ask questions in the comments if you still don't know.
Answer:
Make x alone
Subtract 3x on both sides
3x - 3x = 0
6x - 3x = 3x
0 = 3x - 39
Divide 39 by 3
39 / 3 = 13
13 is the answer because it makes the equation equal
Hope this helps
Step-by-step explanation:
A school bookstore has the following items for sale.
A sign that shows that a notebook costs 2 dollars and 89 cents, a pencil costs 79 cents, and a folder costs 1 dollar and 35 cents.
Part A
How much will Luke pay for 4 notebooks? Enter your answer in the box.
$
11.56
Part B
Traci uses partial products to find the cost of 14 pencils.
A piece of paper has the following text writte on it. 14 pencils at 79 cents each. 10 times 0.7 equals 7. 10 times 0.9 equals 9. 4 times 0.7 equals 2.8. 4 times 0.9 equals 3.6. 7 dollars plus 9 dollars plus 2 dollars and 80 cents plus 3 dollars and 60 cents equals 22 dollars and 40 cents.
Which explains whether or not Traci’s partial products are correct?
Traci's partial products are not correct. She should have multiplied 10 × 0.09 and 4 × 0.09. The actual cost is $11.06.
Traci's partial products are not correct. She should have multiplied 10 × 0.07 and 4 × 0.07. The actual cost is $13.58.
Traci's partial products are not correct. She should have multiplied 4 × 0.07 and 4 × 0.09. The actual cost is $16.64.
Traci's partial products are correct. The actual cost is $22.40.
enter a positive value for y that makes this statement true: 8 x y is less that 8 but greater than 0. (PLEASE HELP FAST)
To make the statement "8 x y is less than 8 but greater than 0" true, we need to find a positive value for y that satisfies this condition: 0 < 8 x y < 8.
We know that the product of 8 and y must be less than 8 and greater than 0. Therefore, we can write the inequality as:
0 < 8 x y < 8 . Dividing both sides by 8, we get: 0 < y < 1 . This means that any positive value of y between 0 and 1 will satisfy the given condition. For example, y = 0.5 or y = 0.75 would work.
We need to enter a positive value for y that is between 0 and 1. The answer can vary depending on the specific value chosen, but any value that satisfies the inequality 0 < y < 1 would work.
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Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of inequalities.
y\leqx2 , z\leq0
x\geqz2 , -5\leqy\leq0
The set of points is a pyramid-shaped region in space with a base of the xz-plane between x = z2 and x = 0, extending to a height of y = 0 at its peak. The region is bounded by the planes y = x2, z = 0, and y = -5.
The set of points is bounded by the four planes: y = x2, z = 0, x = z2, and y = -5. The two inequalities, y <= x2 and z <= 0, imply that the region is limited to the space below the plane y = x2 and behind the plane z = 0. The other two inequalities, x >= z2 and -5 <= y <= 0, indicate that the region is limited to the space in front of the plane x = z2 and between the planes y = -5 and y = 0. This forms a pyramid-shaped region with a base at the xz-plane between x = z2 and x = 0, extending to a height of y = 0 at its peak.
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Riley is going to buy a television for $444.50 plus tax. The sales tax is 6.5%.
How much will the television cost with tax included?
Answer: 473.39
Step-by-step explanation:
444.50 + 0.065*444.50 = (1 + 0.065)*444.50 = 1.065*444.50 = $473.39
Based on the information given the television cost with tax included is $473.39.
Using this formula
Cost=Principal+(Principal× Sales tax)
Where:
Principal=$444.50
Sales tax=6.5%
Let plug in the formula
Cost=$444.50+($444.50×6.5%)
Cost=$444.50+$28.89
Cost=$473.39
Inconclusion the television cost with tax included is $473.39.
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The original price of a goldfish is $6.75. There is 5% sales tax on all purchases. What is the selling price of the goldfish including sales tax?
Answer:
$7.09
Step-by-step explanation:
5% times 6.75 and add that is 7.09 dollars including tax
Determine if (3, -1) is a solution to the system.
Answer:
There are a few ways to solve systems of equations.
There are a few ways to solve systems of equations. substitutionThere are a few ways to solve systems of equations. substitutioneliminationThere are a few ways to solve systems of equations. substitutionelimination GraphicallyIf you are looking at a multiple choice question use the ordered pair to plug into the answer choices and whichever one balances out will be your answer. To assist you further I would need more information from the problem.
Step-by-step explanation:
hope it will help you have a great day bye and Mark brainlist if the answer is correct
\(kai6417\)
#carry on learning
Woof chow dog food company believes that it has a market share of 25 percent. it surveys n100 dog owners and ask whether or not woof chow is their regular brand of dog food, and 23 people say yes. based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.
What is null hypothesis?A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.
\(H0:p=0.25\) (null hypothesis)
\(H0:p \neq 0.25\) (alternative hypothesis)
Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)
Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.
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Use the discriminant to determine the number and types of solutions of the quadratic equation. - 3x = -2x² +1 two real solutions. one real solution. two complex but not real solutions The equation has 27 Time Remaining: 01:10:29 Next
A polynomial equation of degree two is a quadratic equation. A parabola is a curve that is represented by the quadratic equation. When the parabola does not meet the x-axis, there are no genuine solutions, two real solutions, one real solution, or no real solutions.
We can examine the discriminant of the quadratic equation -3x = -2x2 + 1 to learn how many and what kinds of solutions there are.
The quadratic equation has the form ax2 + bx + c = 0, and the discriminant (D) is determined as D = b2 - 4ac.
A, B, and C are equal in our equation at 2, 3, and 1. Now let's figure out the discriminant:
D = (-3)² - 4(-2)(1) = 9 + 8 = 17
There are two independent real solutions to the quadratic equation since the discriminant's value is positive (D = 17).
The right response is thus: There are two viable options.
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Suppose we have 4 email messages. We have also classified 3 messages as normal and 1 as spam. Use Naïve Bayes multinomial to answer the question that follows. Use alpha=1 to avoid zero probabilities.
Message Content Classification
1 Chinese Beijing Chinese Normal
2 Chinese Chinese Shanghai Normal
3 Chinese Macao Normal
4 Tokyo Japan Chinese Spam
Round your answer to the nearest ten thousand
P(Tokyo | Spam)
Using Naïve Bayes multinomial with alpha=1, we classify the given messages based on their content. Message 4, "Tokyo Japan Chinese," is classified as spam.
To classify the messages using Naïve Bayes multinomial, we consider the content of the messages and their corresponding classifications. We calculate the probabilities of each message belonging to the "Normal" or "Spam" classes.
3 messages are classified as "Normal."
1 message is classified as "Spam."
We calculate the probabilities as follows:
P(Class = Normal) = 3/4 = 0.75
P(Class = Spam) = 1/4 = 0.25
Next, we analyze the occurrence of words in each class:
For the "Normal" class:
The word "Chinese" appears 5 times.
The word "Beijing" appears 1 time.
The word "Shanghai" appears 1 time.
The word "Macao" appears 1 time.
For the "Spam" class:
The word "Tokyo" appears 1 time.
The word "Japan" appears 1 time.
The word "Chinese" appears 1 time.
Now, we calculate the probabilities of each word given the class using Laplace smoothing (alpha=1):
P(Chinese|Normal) = (5 + 1)/(5 + 4) = 6/9
P(Beijing|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Shanghai|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Macao|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Tokyo|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Japan|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Chinese|Spam) = (1 + 1)/(3 + 4) = 2/7
To classify Message 4, "Tokyo Japan Chinese," we compute the probabilities for each class:
P(Normal|Message 4) = P(Chinese|Normal) * P(Tokyo|Normal) * P(Japan|Normal) * P(Class = Normal)
≈ (6/9) * (0/9) * (0/9) * 0.75
= 0
P(Spam|Message 4) = P(Chinese|Spam) * P(Tokyo|Spam) * P(Japan|Spam) * P(Class = Spam)
≈ (2/7) * (2/7) * (2/7) * 0.25
≈ 0.017
Since P(Spam|Message 4) > P(Normal|Message 4), we classify Message 4 as spam.
In summary, using Naïve Bayes multinomial with alpha=1, we classify Message 4, "Tokyo Japan Chinese," as spam based on its content.
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Using Naïve Bayes multinomial with alpha=1, we classify the given messages based on their content. Message 4, "Tokyo Japan Chinese," is classified as spam.
To classify the messages using Naïve Bayes multinomial, we consider the content of the messages and their corresponding classifications. We calculate the probabilities of each message belonging to the "Normal" or "Spam" classes.
3 messages are classified as "Normal."
1 message is classified as "Spam."
We calculate the probabilities as follows:
P(Class = Normal) = 3/4 = 0.75
P(Class = Spam) = 1/4 = 0.25
Next, we analyze the occurrence of words in each class:
For the "Normal" class:
The word "Chinese" appears 5 times.
The word "Beijing" appears 1 time.
The word "Shanghai" appears 1 time.
The word "Macao" appears 1 time.
For the "Spam" class:
The word "Tokyo" appears 1 time.
The word "Japan" appears 1 time.
The word "Chinese" appears 1 time.
Now, we calculate the probabilities of each word given the class using Laplace smoothing (alpha=1):
P(Chinese|Normal) = (5 + 1)/(5 + 4) = 6/9
P(Beijing|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Shanghai|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Macao|Normal) = (1 + 1)/(5 + 4) = 2/9
P(Tokyo|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Japan|Spam) = (1 + 1)/(3 + 4) = 2/7
P(Chinese|Spam) = (1 + 1)/(3 + 4) = 2/7
To classify Message 4, "Tokyo Japan Chinese," we compute the probabilities for each class:
P(Normal|Message 4) = P(Chinese|Normal) * P(Tokyo|Normal) * P(Japan|Normal) * P(Class = Normal)
≈ (6/9) * (0/9) * (0/9) * 0.75
= 0
P(Spam|Message 4) = P(Chinese|Spam) * P(Tokyo|Spam) * P(Japan|Spam) * P(Class = Spam)
≈ (2/7) * (2/7) * (2/7) * 0.25
≈ 0.017
Since P(Spam|Message 4) > P(Normal|Message 4), we classify Message 4 as spam.
In summary, using Naïve Bayes multinomial with alpha=1, we classify Message 4, "Tokyo Japan Chinese," as spam based on its content.
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1000 masks were distributed equally among a certain number of people. if there were 5 more people more , each would have received 10 masks less. among how many people was the mask distributed ?find it .
Answer:
10+5 =15 thanks for asking
Consider the equation 8 + x = n. What must be true about any value of x if n is a negative number?
I need help with this question, please
Answer:
d it should be outside the circle
Step-by-step explanation:Hope it helps!!
brainlest pls
The balance on a credit card, that charges a
28. 5% APR interest rate, over a 1 month
period has a daily balance of $145. What is
the finance charge, on the average daily
balance, for this 1 month period?
28. 5% = 0. 285
Hint: Divide the decimal by 12 to get the monthly interest
rate. Do not round that answer. Take that answer and
multiply it to the average daily balance.
Finance charge = $[?]
Round to the nearest hundredth.
Answer
Enter
Step-by-step explanation:
This APR assumes no compounding ( as I believe it would include in Europe)...this makes it much simpler to answer this Q:
28.5 / `12 = 2.375 % per month
2.735% of 145 = $ 3.44 finance charge
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3100. Assume that the standard deviation is $1200.
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
The z-score is a measure of how many standard deviations a data point is from the mean. It can be calculated using the formula
z = (x - μ) / σ,
where x is the data point, μ is the mean, and σ is the standard deviation.
a. The z-score for a backyard structure costing $2300 can be calculated as follows:
z = (2300 - 3100) / 1200 = -800 / 1200 = -0.67
b. The z-score for a backyard structure costing $4900 can be calculated as follows:
z = (4900 - 3100) / 1200 = 1800 / 1200 = 1.
c. The z-score in part (a) is -0.67, which means that the backyard structure costing $2300 is 0.67 standard deviations below the mean. The z-score in part (b) is 1.5, which means that the backyard structure costing $4900 is 1.5 standard deviations above the mean. Neither of these z-scores are extreme enough to be considered outliers, as they are both within 2 standard deviations of the mean.
d. The z-score for the backyard shed-office combination costing $13,000 can be calculated as follows:
z = (13000 - 3100) / 1200 = 9900 / 1200 = 8.25
This z-score is much larger than 2, which means that the structure costing $13,000 is more than 8 standard deviations above the mean. This is an extreme value and should be considered an outlier.
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1.55y-(5y-17)/100=0.02
Answer:
Multiply to remove the fraction, then set equal to 0 and solve.
Exact Form: y = − 1/10
Decimal Form: y = − 0.1
Step-by-step explanation:
Answer:
y = -1/10 or -0.1
Step-by-step explanation:
Multiply both sides of the equation by 100.
To find the opposite of 5y−17, find the opposite of each term.
The opposite of −17 is 17.
Combine 155y and −5y to get 150y.
Subtract 17 from both sides.
Subtract 17 from 2 to get −15.
Divide both sides by 150.
Reduce the fraction
to lowest terms by extracting and canceling out 15.