Answer:
55%
Step-by-step explanation:
the question is asking what is the probability he has 8 hours of sleep GIVEN he has had 0 cups.
we find the number where 0 cups and 8 hours meets. that is 12.
divide that by P(0 cups). P(0 cups) is total of 0 cups, ie 22.
so answer is (12/72) / (22/72)
= 12/22
= 6/11
= 0.5454
= 55% to nearest whole percent
a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
Point P is the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
Answer:
\(PZQ = 63\)
Step-by-step explanation:
Given
\(OZQ = 125\)
\(OZP = 62\)
Required
Determine PZQ
Since P is an interior of OZQ, we have that:
\(OZQ = OZP + PZQ\)
Solve for PZQ
\(PZQ = OZQ - OZP\)
Substitute values for OZQ and OZP
\(PZQ = 125 - 62\)
\(PZQ = 63\)
A residual is the difference between _______.
A residual is the difference between "the measured and predicted values of the quantity of interest".
What is residuals?In regression analysis, a residual would be the difference between an observable and anticipated value.
The formula is;
Residual = Observed value – Predicted value
Some key features regarding the residuals are-
The purpose of linear regression would be to quantify the relationship among one or so more predictor variables one and or more response variables. Linear regression selects the line that best "fits" the data, defined as least squares regression line, to do this. This line generates a prediction for every observation in the dataset, however it is improbable that the regression line's prediction would perfectly match its observed value.The residual is the discrepancy between the predicted and the observed value. The residuals for every observation would represent the vertical distance between both the observation as well as the regression line if we plotted the observed values then overlaid the fitted regression line.To know more about the residual, here
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how many ways can he form the 8 person committee if the committee contains at least one gryffindor, exactly three ravenclaws, and no slytherins?
Assuming that we are starting with a pool of 8 people, we can form the committee in 8 different ways. This is because the committee must contain exactly 3 Ravenclaws, 1 Gryffindor, and 4 people from other houses.
First, we will choose 3 Ravenclaws from the 8 people. This can be done in 8 combinations. Then, we will choose 1 Gryffindor from the remaining 5 people. This can be done in 5 combinations. Lastly, we will choose 4 people from the remaining 4 people, which can be done in 4 combinations.
By multiplying the number of combinations, we get for each step, we can conclude that the total number of ways to form an 8-person committee with the requirement is 8 x 5 x 4 = 160. However, since the order of the people in the committee does not matter, this total number is reduced to 8. In conclusion, we can form the 8 person committee with the given requirement in 8 different ways.
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An ice machine makes 1 pounds of ice every hour. Which graph shows this
proportional relationship?
Pounds of Ice
s of Ice
6
54321
Total Ice Made
0 1 2 3 4 5 6
Number of Hours
6
Total Ice Made
Pounds of Ice
of Ice
65432
Total Ice Made
0 1 2 3 4 5 6
Number of Hours
65
Total Ice Made
The graph that represents the situation is required.
What is graph?
A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.
Here the X- axis denotes the number of hours and
Y- axis denotes the pounds of ice.
The given ordered pair is
\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)
At zero hours the ice produced will be zero so, the third and fourth options are incorrect.
The only graph where the line passes through (0.5,1.5).
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find the area of the triangle which has sides ~u = (3, 3, 3), ~v = (6, 0, 6), and ~u −~v.
The area of the triangle is approximately 27.71 square units.
What is the area of the triangle with sides ~u = (3, 3, 3), ~v = (6, 0, 6), and u −v?We can use the formula for the area of a triangle given two sides and the included angle:
Area = 1/2 * |u| * |v| * sin(theta)
where |u| and |v| are the magnitudes of the vectors, and theta is the angle between them.
First, we can find the magnitude of each vector:
|u| = √(3² + 3² + 3²) = 3√(3)|v| = √(6² + 0² + 6²) = 6√(2)Next, we can find the vector difference ~u - ~v:
~u - ~v = (3-6, 3-0, 3-6) = (-3, 3, -3)
Then, we can find the magnitude of ~u - ~v:
|~u - ~v| = √((-3)² + 3² + (-3)²) = 3√(2)
Now, we can find the angle between ~u and ~v using the dot product:
~u · ~v = (3)(6) + (3)(0) + (3)(6) = 36|~u| |~v| = (3√(3))(6√(2)) = 18√(6)cos(theta) = (~u · ~v) / (|~u| |~v|)= 36 / (18√(6))= 2 / √(6)theta \(= cos^{-1(2\sqrt(6))}\) ≈ 30.96 degrees
Finally, we can plug in the values to find the area:
Area = 1/2 * |u| * |v| * sin(theta)= 1/2 * (3√(3)) * (6√(2)) * sin(30.96)≈ 27.71 square units.Therefor, the area is ≈ 27.71 square units.
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The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.
A graph shows the horizontal axis numbered 2.6 to x. The vertical axis is unnumbered. The graph shows an upward trend from 2.8 to 3.4 then a downward trend from 3.4 to 4.
Which statement is true about the songs played during the one-hour interval?
Most of the songs were between 3 minutes and 3.8 minutes long.
Most of the songs were 3.4 minutes long.
Most of the songs were less than 3.2 minutes long.
Most of the songs were more than 3.6 minutes long.
The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.
Based on the given information from the graph, we can determine the following:
The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.
Then, there is a downward trend from 3.4 to 4 on the horizontal axis.
From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.
Therefore, the correct statement is:
Most of the songs were between 3 minutes and 3.8 minutes long.
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Answer:
A
Step-by-step explanation:
what pathways would be necessary to carry you to the leaves of these trees.
In order to reach the leaves of the trees, one would need to travel along the trunk and branches of the tree, and then climb up the leaves.
In order to reach the leaves of a tree, one would have to take a pathway that begins at the base of the tree. This pathway would involve climbing up the trunk of the tree, and then making their way through the branches until they reach the leaves. Depending on the size of the tree, this may require some climbing skills, or the use of special equipment. The branches of the tree provide the necessary pathways to the leaves, and the leaves themselves can be used as footholds to help with the climb. Once the leaves are reached, it is possible to survey the environment and take in the beauty of the tree. With a little bit of courage and determination, reaching the leaves of a tree is a rewarding experience.
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Convert: 0.1477km =
m*
Answer:
147.7 meters
Step-by-step explanation:
kilo means 'thousands' so you have to move the demical 3 places to the left to make .1477 a thousand times larger
also, you could set up a proportion like the following based on 1km = 1000m
1000 m = x
1 km .1477
x = .1477 x 1000
x = 147.7
Which could be the missing data item for the given set of data if the median of the complete data set is 15?
11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14
A: 16
B: 18
C: 20
D: 11
Answer:
A: 16
Step-by-step explanation:
its in between
For this Data exercise you need to do the following (1) Go to the internet and gather data that has two variables that you believe are related to each other. One should be the dependent variable that you are trying to explain and the other should be the independent variable that does the explaining. You need to have at least 50 observations but more observations are better (i.e. don't truncate a longer data set to only have 50 observations). Your project should not be the same as anyone else's in the class (if you work by yourself this should not be an issue). You should also not use a data set that has been put together for you from a textbook.
According to the question Gather unique dataset (50+ observations) with dependent and independent variables, analyze using statistical software to explore relationships and perform hypothesis testing.
To complete this data exercise, you should begin by selecting a topic of interest that involves two variables with a potential relationship. It is crucial to choose a unique project that differs from others in your class. Avoid using datasets provided by textbooks and instead search for reliable sources on the internet.
Look for government databases, research publications, surveys, or publicly available datasets. Ensure your dataset contains at least 50 observations, although more would be preferable. Once you have obtained the data, assess its quality, clean any inconsistencies, and organize it for analysis.
Utilize statistical software or programming languages like Python or R to perform exploratory data analysis, investigate correlations, conduct hypothesis testing, and quantify the relationship between the dependent and independent variables.
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In investigating whether stress is a factor in aging, telomere length was measured in women with chronically ill children, and compared to the number of years since the child's diagnosis. Use the following summary data to calculate the correlation coefficient between telomere length and chronocity:
Summary data:
Sum of products: -8.822
Sum of squares for chronicity: 318.817
Sum of squares for telomere length: 2.868
Total sample size: 38
The calculated correlation coefficient (r) is approximately -0.291.
To calculate the correlation coefficient between telomere length and chronicity, we can utilize the given summary data. The correlation coefficient, often denoted as r, measures the strength and direction of the linear relationship between two variables.
Let's denote the sum of products as Σxy, the sum of squares for chronicity as Σx², the sum of squares for telomere length as Σy², and the total sample size as n.
From the given data, we have the following values:
Σxy = -8.822
Σx² = 318.817
Σy² = 2.868
n = 38
The correlation coefficient (r) can be calculated using the following formula:
r = Σxy / √(Σx² * Σy²)
Substituting the given values into the formula:
r = -8.822 / √(318.817 * 2.868)
Now, let's solve this equation step by step:
First, multiply the values inside the square root:
r = -8.822 / √(913.350956)
Next, calculate the square root:
r = -8.822 / 30.219307
Finally, divide Σxy by the square root of the product of Σx² and Σy²:
r ≈ -0.291
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A car rental company charge an initial fee of $8. 25 plu a daily rental fee of $28. 99 for a tandard car and $37. 99 for a luxury car. If a family rent a tandard car for 2 day and a luxury car for 3 day, what will be the total cot in dollar and cent of the rental?
The total cost of renting a standard car for 2 days and a luxury car for 3 days, which is $186.95.
Car Rental Cost CalculationI determined the total cost by performing a simple arithmetic calculation. Here the steps:
I multiplied the daily rental fee of the standard car ($28.99) by the number of days (2) and added the initial fee ($8.25) to get the total cost of the standard car rental ($65.23).($28.99 x 2) + $8.25 = $65.23
I repeated the same calculation for the luxury car rental, using the daily rental fee ($37.99) and the number of days (3), and adding the initial fee ($8.25) to get the total cost of the luxury car rental ($121.72).($37.99 x 3) + $8.25 = $121.72
Finally, I added the two costs to get the overall total cost of both car rentals ($186.95).$65.23 + $121.72 = $186.95
The subject learned here is basic arithmetic and how to calculate the cost of a car rental. The information involves performing simple mathematical operations, such as multiplication and addition, to determine the total cost based on the daily rental fee, the number of rental days, and an initial fee.
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RIGHT ANSWER GETS 15 POINTS
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x.
Write and solve an equation to determine the measure of angle x. (5 points)
Your answer:
Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.
What is the vertical angles theorem?In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;
60° + 70° + y = 180°
130° + y = 180°
y = 180° - 130°
y = 50°
Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.
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hurry i need help with this i don’t know what to write
The triangle congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
What is the AAS Congruence TheoremThe AAS (Angle-Angle-Side) Congruence Theorem states that if two triangles have two corresponding angles and a corresponding side that are congruent, then the triangles are congruent.
By observation, the angle L corresponds to the angle Y, and the angle M corresponds to the angle Z, Also the side KM corresponds to the side XM.
In conclusion, the congruence theorem that proves triangle KLM and XYZ are congruent is the AAS Congruence Theorem.
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Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:
Length: 13x - 9 units
Width: 4.5x + 8 units
If the length of the rectangle given is larger than the width of the rectangle then the inequality which represents given situation is 13x-9 > 4.5x+8
What is an inequality?
Inequality is a kind of equation which compares two mathematical expressions instead of equating them using relations like less than, greater than, less than or equal to, greater than or equal to.
Given that Victoria drew a diagram of her laptop which is in the shape of the rectangle. The dimension are Length 13x-9 and width 4.5x+8
If the length is given greater than width, then this can be represented by inequality: length > width
i.e. 13x-9 > 4.5x+8
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The complete question is mentioned below :
Victoria drew a diagram of her laptop that she uses at school. It is in the shape of a rectangle. The dimensions are as follows:
Length: 13x - 9 units
Width: 4.5x + 8 units
If the length is greater than the width, which inequality represents this situation?
If the events A and B are independent with P(A) = 0.5 and P(B) = 0.5, what is the probability of A and B. Construct the complete Venn diagram for this situation.
Given events A and B are independent, where P(A) = 0.5 and P(B) = 0.5 The probability of A and B and to construct the complete Venn diagram for this situation
Therefore, the probability of A and B is 0.25.
Since the given events A and B are independent, then the probability of A and B will be: P(A and B) = P(A) × P(B)
Now we will substitute the given values in the above formula: P(A and B) = 0.5 × 0.5
= 0.25
In the Venn diagram, there are two sets, A and B, with each set containing 0.5. The shaded portion in the middle of the two sets is the intersection of the two sets, which represents the probability of A and B. This value is 0.25, as shown below in the diagram.
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10+5x= 2+5x+1
What is the answer for x??
In this equation, x will be 0.
Define equation.In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance. Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.
Given data
10+5x= 2+5x+1
Solving for x,
10+5x= 2+5x+1
5x - 5x = 1+2 - 10
x = 0
In this equation, x will be 0.
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J.D. Power and Associates surveys new automobile owners to learn about the quality of recently purchased vehicles. The following questions were asked in the J.D. Power Initial Quality Survey, May 2012.a. Did you purchase or lease the vehicle?b. What price did you pay?c. What is the overall attractiveness of your vehicle’s exterior? (Unacceptable, Average, Outstanding, or Truly Exceptional)d. What is your average miles-per-gallon?
(a) Lease the vehicle is Categorical
(b) Price pay Quantitative
(c) The overall attractiveness of your vehicle's exterior is Categorical
(d) Average miles-per-gallon is Quantitative
Now, According to the question:
a. Did you purchase or lease the vehicle? CATEGORICAL DATA
b. What price did you pay? QUANTITATIVE DATA
c. What is the overall attractiveness of your vehicle's exterior? (Unacceptable, Average, Outstanding, or Truly Exceptional) CATEGORICAL DATA
d. What is your average miles-per-gallon? QUANTITATIVE DATA
Quantitative data can be measured in numbers, e.g. 20 miles per gallon. While categorical data refers to non-numerical responses, e.g. higher quality, better looks, and is generally obtained by choosing one response from a group of available answers.
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WILL GIVE BRAINLIEST IF CORRECT ANSWER!!!!!!
Find the length of side x to the nearest tenth.
Answer:
4 unitsStep-by-step explanation:
Consider the property of the 30x60x90 degree right triangle.
It has side with ratio:
a : b : c = 1 : √3 : 2, where a and b are legs and c- hypotenuseAccording to the picture we have:
x : 8 = 1 : 2x = 8/2x = 4What is the solution to the inequality -5m + 10 > 25?
A.
m > -3
B.
m > -3
C.
m < -3
D.
m < -3
\( - 5m \: + \:10 \: > 25 \\ or \: - 5m > 25 - 10 \\ or \: - 5m > 15 \\ or \: m > \frac{15}{ - 5 } \\ or \: m \: > - 3\)
plz help this is super duper hard
Answer:
the third one
Step-by-step explanation:
the conjugation is and
Answer:
Roberto walked home alone and thought about his day.
Suppose the following equations describe a scenario involving an externality: MSB=MPB=12−0.5Q
MSC=2+1.5Q
MPC=2+0.5Q
1. What kind of externality (positive or negative) is this? How do you know? 2. Sketch a graph of the marginal cost and benefit curves for this scenario. 3. Compute the quantity that will result from private decision-making. Show your work. 4. Compute the quantity that would be best from society's viewpoint. Show your work. 5. How do the social and private optima compare? Why is this the expected result in the presence of this type of externality?
The presence of a negative externality causes the MSC to be higher than the MSB, which leads to the market over-producing the good. This is because producers are only taking their private costs and benefits into account, not the costs and benefits to society as a whole. The difference between the private and social optima is known as the deadweight loss. In this case, the deadweight loss is equal to the shaded triangle in the attached image.
1. This is a negative externality. We can see this by the MSC being higher than the MSB. This means that the cost to society of producing the good is higher than the benefit to society, resulting in the market over-producing the good.2. See the attached image. 3. At private decision making, we set the MSB equal to the MPC: 12-0.5Q = 2+0.5Q. Solving for Q gives Q = 8. 4. To find the socially optimal quantity, we need to set MSB equal to MSC: 12-0.5Q = 2+1.5Q. Solving for Q gives Q = 4. 5. The private and social optima are different because of the negative externality.
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A hardware store is having a 35%-off sale. If an item has a list price of $16.20, what is the item's sale price?
$12.80
$9.67
$10.53
$12.15
$11.60
Answer:
10.53
Step-by-step explanation:
hope it helps :)
Fill in the table above.
What’s the ratio of cost to bags of salad?
How much does one bag of salad cost (unit rate)?
100 x 500 x 250 x 600 x 900 x 10 000 x 0 x 500 x 60 x 70 x 50 x 90 + 1 x 50 =
Answer:
50
Step-by-step explanation:
what is (-1) with a expont of 39 equal to
Answer:
oh period
Step-by-step explanation:
slay queen yaasss
Answer:
Since we are using the negative integer of -1, the answer would simply be -1. This is because 1 time any number is always going to be 1.
Step-by-step explanation:
solve the equation for y. ax + by = c
Answer:
y = ( c-ax)/b
Step-by-step explanation:
ax + by = c
Subtract ax from each side
ax-ax + by = c-ax
by = c-ax
Divide each side by b
by/b = ( c-ax)/b
y = ( c-ax)/b
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
i need help pls i dont get it
Answer:
3/5 = 60% = 0.6
In the bottom row, 3/5 is the wrong fraction. 2/3 is the correct fraction.