Answer:
See below
Step-by-step explanation:
5x + y = 9 re-arrange to y = 9-5x
use this value of 'y' in the second equation:
10x - 7(9-5x) = - 18
solve for x = 1
sub in this value of 'x' into one of the equations to compute 'y'
5 (1) + y = 9
y = 4
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)?
y + 3 = −4(x + 4)
y + 3 = –1/4(x + 4)
y + 3 = 1/4(x + 4)
y + 3 = 4(x + 4)
Answer:
Y+3=-4(x+4) is correct answer
suppose you pick people at random and ask them what month of the year they were born in. (assume all months are equally likely to have been born in.) a) what is the probability that it takes you until the 5th person to find someone born in december? b) what is the expected number of people you have to question to find someone born in december?
The probability that it takes you until the 5th person to find someone born in December is 1/12 or 0.0588 and the expected number of people you have to question to find someone born in december is 12.
a) The probability that it takes you until the 5th person to find someone born in December = P (first 4 person born in some other month & 5th person born in month of December) = (1-1 / 12) 4 × (1/12)
= 0.0588
b) We know that from geometric distribution expected number of people you have to question to find someone born in December
= 1/p = 1/ (1/12) = 12
Therefore, the probability that it takes you until the 5th person to find someone born in December is 1/12 or 0.0588 and the expected number of people you have to question to find someone born in December is 12.
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How to solve 240=-16 Equation
no idea
Step-by-step explanation:
u can use google for this if u r in hurry
recitation 9 : b-trees what is the relation between the minimum branching factor and the minimum degree of a b-tree? which of the following are legal b-trees for when the minimum branching factor t
The minimum branching factor of a B-tree is the minimum number of children a node can have in order to keep the tree balanced.
What is a B-tree?
A self-balancing search tree is the B-Tree. It is assumed that everything is in the main memory in the majority of the other self-balancing search trees (such AVL and Red-Black Trees).
We must consider the vast quantity of data that won't fit in the main memory in order to comprehend the utilisation of B-Trees. Data is read from the disc in the form of blocks when the number of keys is high. In comparison to the access time to main memory, disc access time is quite long. Reducing the amount of disc accesses is the major goal of employing B-Trees. The majority of tree operations, such as search, insert, delete, max, min, etc., call for O(h) disc accesses, where h is the tree height. A fat tree is the B-tree.
By packing as many keys as you can into each B-Tree node, the height of B-Trees is maintained to a minimum. The disc block size is often maintained at the same as the B-Tree node size. In comparison to balanced Binary Search Trees like the AVL Tree, Red-Black Tree, etc., the B-low tree's height results in a considerable reduction in the overall number of disc visits for the majority of operations.
b-trees what is the relation between the minimum branching factor and the minimum degree of a b-tree? which of the following are legal b-trees for when the minimum branching factor.
It is also known as the minimum degree of the B-tree. The minimum degree of a B-tree must be greater than or equal to the minimum branching factor.
The following are all legal B-trees for when the minimum branching factor is 3:
- 3-3-3-3 B-tree
- 2-3-3-4 B-tree
- 2-3-4-5 B-tree
- 3-4-5-6 B-tree
- 2-4-5-6 B-tree
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2/3 + _/6 = 1/6
what is the missing numerator
options:
3
5
6
9
Would anyone be willing to help me out with a few math questions? I'm up late and could really use the help!
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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22. A parabola equation is given as y = 3(x - 2)^2 + 5. What are the coordinates of the vertex?
Answer:
(2, 5)
Step-by-step explanation:
The x coordinate is the number inside the parentheses, but with the opposite sign, 2
The y coordinate is the number at the end
Answer:
vertex: (2, 5)
Step-by-step explanation:
y=3(x−2)2+5
this is a parabola because of one variable squared and the other one is not so now write it in the standard form of parabolas which it is = to
______
Vertical :
(x−h)2=4p(y−k)
Horizontal:
(y−k)2=4p(x−h)2
vertex = (h, k)
______
this y=3(x−2)2+5 equation is vertical since x is squared
subtract 5 from both sides:
y−5=3(x−2)2
divide both sides by 3:
(y−5)13=(x−2)2
vertex:
(2,5)
Guessing game where players can choose a number between 0 and 100. The winner is the one who chooses closest to 2/3 of the average of the guesses.
With only 2 players you and an inexperienced player. What number would you choose? Why?
The specific number within the range of 33 to 40 would depend on my assessment of the situation and my intuition at the time of playing the game
In this guessing game, the goal is to choose a number that is closest to 2/3 of the average of the guesses. To determine the optimal strategy, we need to consider the likely approach of the inexperienced player.
Given that the inexperienced player may not be aware of the optimal strategy, they might choose their number based on a random guess or by focusing on their intuition rather than employing any specific mathematical reasoning.
To maximize my chances of winning, I would consider the average behavior of inexperienced players and make an educated guess. Based on statistical analysis, inexperienced players often tend to choose numbers towards the middle of the given range, such as around 50. To counter this, I would choose a number that is slightly below the midpoint, but still close enough to benefit from the averaging process.
Considering these factors, I would choose a number around 33 to 40. This range is likely to be below the average of the inexperienced player's guess, but still close enough to the 2/3 threshold to increase my chances of winning. By strategically positioning my guess in this manner, I aim to take advantage of the likely choices made by the inexperienced player.
Ultimately, the specific number within the range of 33 to 40 would depend on my assessment of the situation and my intuition at the time of playing the game.
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.
What does z score mean?An indicator of how nearly a value relates to the mean of either a set of values is called a Z-score.Z-score is quantified using standard deviations relative to the mean.The data point's entire score is equal to the mean score when the Z-score is 0.The amount that the raw score departs first from mean is determined using the Z score.These steps are used to determine the Z score:
z = (x - μ)/σ
As mentioned in question-
x > 550 and μ = 500, σ = 40:
z = 550 - 500 / 40
z = 1.25
Obtain the p-value from normal distribution chart,
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.
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quizlewhat is the measure that indicates how precise a prediction of y is based on x or, conversely, how inaccurate the prediction might be?
The residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.
What is indetail explaination of the answer?The measure that indicates how precise a prediction of y is based on x or how inaccurate the prediction might be is called the residual standard error (RSE).
RSE is a measure of the variation or dispersion of the errors (or residuals) in a regression model. It is calculated by taking the square root of the sum of the squared residuals divided by the degrees of freedom.
The RSE provides an estimate of the standard deviation of the errors, and it is expressed in the same units as the response variable y.
In other words, the RSE measures the average distance that the observed values deviate from the predicted values in the regression model.
A smaller RSE indicates that the model is better at predicting the response variable, while a larger RSE indicates that the model has higher prediction error and may not be as accurate.
In summary, the residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.
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The measure that indicates how precise a prediction of y is based on x, or conversely, how inaccurate the prediction might be, is called the residual standard error (RSE). The RSE is a measure of the average distance that the observed values fall from the predicted values, and it is typically expressed in the same units as the response variable (y). A smaller RSE indicates a better fit of the model to the data, and a larger RSE indicates a poorer fit.
Brittney is 4 years older than Dakota. The variable b stands for Brittney's age. Which expression stands for Dakota's age?
A. 4b
B. 4 - b
C. b + 4
D. b - 4
Which function is equivalent to f ( x ) = 6 x 2 − 13 x + 5?
Answer:
to f(x) = 6x^2 - 13x + 5. One way to do this is to complete the square, which involves adding and subtracting a constant term to the quadratic expression to make it a perfect square trinomial. This can be done as follows:
f(x) = 6x^2 - 13x + 5
= 6(x^2 - (13/6)x) + 5
= 6(x^2 - (13/6)x + (13/12)^2 - (13/12)^2) + 5
= 6((x - 13/12)^2 - 169/144) + 5
= 6(x - 13/12)^2 - 101/24
Therefore, an equivalent function to f(x) is g(x) = 6(x - 13/12)^2 - 101/24.
A puck moves 2.35 m/s in a -22.0° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction. What is the displacement x
The displacement x of the moving puck is; 0.43 meters
How to find the displacement?The displacement is defined as the change in position of an object. It is also called a vector quantity and has a direction and magnitude
The parameters given here are;
The polar coordinate initial velocity vector; U = 2.35 m/s, -22°
Final velocity vector; V = 6.42 m/s, +50°
This suggests to us that Cartesian x axis is parallel to angle 0° and y axis is parallel to +90°.
Change of velocity component parallel to +90° = magnitude*sinθ,.
Thus, the change of that velocity
Δv = |V|sin(50) - |U|sin(-22)
Δv = 6.42sin(50) - 2.35sin(-22)
Δv = 4.9 - (-0.88)
Δv = +5.8 m/s
The equation for displacement is;
s = ut +1/2at^2
where acceleration time t = Δt = 0.215 s
initial velocity u = |U|sin(-22) = -0.88 m/s
acceleration parallel to u is a = Δv/Δt = +5.8/Δt
a = 5.8/t m/s^2
Thus;
s = -0.88t + ¹/₂* 5.8/t * t²
s = -0.88t +2.9t
s = 2.0t
s = 2.0 * 0.215
s = 0.43 m
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Please can someone help me ASAP
a) \(\frac{8}{2}\)
b) \(\frac{9}{4}\)
c) \(\frac{3}{-1}\)
What is the inequality shown
Answer:
-4 \(\leq\) x \(\leq\) 3
Step-by-step explanation:
The filled in dots mean that those numbers are included
1. construct a 5-to-32 line decoder with four 3-to-8 line decoder with enable and a 2-to-4 line decoder. use block diagrams for the components, label all inputs and outputs.
Sure! Here's a block diagram representation of a 5-to-32 line decoder using four 3-to-8 line decoders with enable (3:8 decoder with enable) and a 2-to-4 line decoder.
_________ _________ _________ _________
| | | | | | | |
IN[4] | 5:32 | | 3:8 | | 3:8 | | 3:8 |
----->| Decoder |---->| Decoder |---->| Decoder |---->| Decoder |----> Y[31]
|_________| |_________| |_________| |_________|
| | | |
IN[3] | | | |
----->| | | |
| 3:8 Decoder | | 3:8 Decoder |
|___________________________| |___________________________|
| | | |
IN[2] | | | |
----->| | | |
| 3:8 Decoder | | 3:8 Decoder |
|___________________________| |___________________________|
| | | |
IN[1] | | | |
----->| | | |
| 3:8 Decoder | | 3:8 Decoder |
|___________________________| |___________________________|
| | | |
IN[0] | | | |
----->| 2:4 Decoder | | |
|___________________________| | 3:8 Decoder |
|___________________________|
Inputs:
IN[4:0]: 5-bit input lines
Outputs:
Y[31:0]: 32 output lines
The 5-to-32 line decoder takes a 5-bit input (IN[4:0]) and produces 32 output lines (Y[31:0]). It uses four 3-to-8 line decoders with enable (3:8 Decoder) to decode the input bits and generate intermediate outputs. The intermediate outputs are then connected to a 2-to-4 line decoder (2:4 Decoder) to produce the final 32 output lines (Y[31:0]).
Note: The enable lines for the 3-to-8 line decoders are not shown in the diagram for simplicity. Each 3-to-8 line decoder will have its own enable input, which can be used to enable or disable the decoder's functionality.
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7. Allan ate 28 jelly beans. Alexis ate 75% of the amount that Allan ate. How many Jelly beans did Alexis eat?
Answer:
21
Step-by-step explanation:
.75 x 28 = 21
Tom and 29 friends (30 total) are to sit in three rows of 10 at a movie theatre. They madea rule that Within each row, they must sit in order of tallest to shortest with the tallestperson on the left. Given that there are no two people with the same height and there areno restrictions on where a person must sit, how many different seating arrangements arepossible
Answer:
The answer is "6000".
Step-by-step explanation:
It seems to be a total of 30 buddies there. Every column has 10 seats so that the 10 pals are now in a row. Of all the other 20 buddies, 10 are on the following row. And we have ten friends remaining and that they are sitting in the next row.
Therefore the possibility of sitting is:
\(30 \times 20 \times 10 = 6000\)
What is the optimal choice when pı = 3, P2 = 5 and I = 20 and utility is (a) u(x1, x2) = min{2x1, x2} (b) u(x^2 1, x^2 2) = x} + x3 (c) u(x1, x2) = In(xi) + In(x2) (d) u(x1, x2) = x x = (e) u(x1, x2) = -(x1 - 1)^2 – (x2 - 1)^2
Using the Lagrange method, the optimal choice is therefore (x1, x2) = (20/9, 4/3).
The optimal choice when pı = 3, P2 = 5 and I = 20 and utility is u(x1, x2) = min{2x1, x2} can be found using the Lagrange method .Lagrange method: This method involves formulating a function (the Lagrange function) which should be optimized with constraints, i.e. the optimal result should be produced while adhering to the constraints provided. The Lagrange function is given by: L(x1, x2, λ) = u(x1, x2) - λ(I - p1x1 - p2x2)
Where L is the Lagrange function, λ is the Lagrange multiplier, I is the budget, p1 is the price of good 1, p2 is the price of good 2.The optimal choice can be determined by the partial derivatives of L with respect to x1, x2, and λ, and setting them to zero to get the critical points. Then, the second partial derivative test is used to determine if the critical points are maxima, minima, or saddle points. The critical points of the Lagrange function L are:
∂L/∂x1 = 2λ - 2p1 = 0 ∂L/∂x2 = λ - p2 = 0 ∂L/∂λ = I - p1x1 - p2x2 = 0
Substitute the first equation into the second equation to get:λ = p2,2λ = 2p1 ⇒ p2 = 2p1,
Substitute the first two equations into the third equation to get: x1 = I/3p1,x2 = I/5p2
Substitute p2 = 2p1 into the above to get:x1 = I/3p1,x2 = I/10p1.Substitute the values of p1, p2 and I into the above to get:x1 = 20/9,x2 = 4/3.The optimal choice is therefore (x1, x2) = (20/9, 4/3).
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pls help ill mark brainliest
Answer: BBBBBB
Step-by-step explanation:
Answer:
B. 0.38
Step-by-step explanation:
4.50 divided by 12 = 0.375
0.375 rounded is 0.38
BRAINLIEST PLEASE
consider the inequalityThe solution set of the inequality is:Select oneX>32X<32X>23X<23
Consider the inequalitiy 3 - 1 - x <= -2x -3x
\(3-1-x\leq-2x-3x\)\(2-x\leq-5x\)\(-2\ge4x\)\(x\leq-\frac{1}{2}\)A ferris wheel can accommodate 35 people in 20 minutes how many people could ride the ferris wheel in 5 hours what is the rate per hour
Answer:
it can accommodate 525 people in 5 hours and the hourly rate is 105
Step-by-step explanation:
There are 60 minutes in an hour so you divide 60/20 = 3
then you multiply 35 x 3 = 105 (the hourly rate)
Five hours = 105 x 5 = 525
Answer:
The rate of change: 105 people per hour; in 5 hours there would be 525 people.
Step-by-step explanation:
The rate can be calculated by turning minutes into hours, so if 20mins = 35ppl, it can be turned into 1hour = 105ppl, so in 5 hours there should be 525ppl
Graph the following three equations on your own device and answer the questions below.
f(x)=5x+7
f(x)=x²+6
f(x)=2ˣ+3
a. What is f(10)?
b. What is f(100)?
c. What is f(1000)?
d. Which function has the highest value at each value of x?
e. Use your answers to decide which type of function will increase the fastest?
f. At what point did this function exceed the other two?
g. Do you think this would work for any function of this type? Why?
h. If these 3 equations represent the growth of mucus in a membrane, describe and state the domain and range for each function.
Answer:
sorry I don't understand
One of the team members convinced you to use Logistic Regression instead of Classification Tree. What argument did the team member use to change your mind
The argument used by the team member was that a single line is used to differentiate the space into two. This is will make the presentation more attractive. Even if there are higher-dimensional data the lines will generalize into planes and hyperplanes. So according to the team member, it would be better to use Logistic Regression.
When we use the classification tree presentation the data will be mixed up and will clash against each other. So using the Logistic Regression will be better as this divides the data set into two separate parts. So, if the data are not linearly separable then only we should use the Classification Method.
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Sketch a number line plot your age as a point on your number line
What would you consider as the starting point on a number line? Why?
The starting point of the number line drawn using the age is zero
What is a Number line?A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). The numbers on the left of zero are all negative, whereas the numbers on the right of zero are all positive.
The starting point of the number line drawn using the age is zero and it is why because every human life starts at the age of months/years.
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What is the sum of the interior angle of a regular 20-sided polygon?
Answer:
\(3240^{0}\)
Step-by-step explanation
n = Number of sides
Sum of interior angles of a regular polygon = (n - 2) x \(180^{o}\)
= (20 - 2) x \(180^{o}\)
= 18 x \(180^{o}\)
= \(3240^{o}\)
Situation:
Find the substance's half-life, in days.
• Round your answer to the nearest tenth.
A 25 gram sample of a substance that's
used for drug research has a k-value of
0.1229.
Enter the correct answer.
N = Noe
-kt
DONE
No = initial mass (at time t = 0)
?
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answer:
5.6 days
Step-by-step explanation:
We are given;
Initial Mass; N_o = 25 g
Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)
k = 0.1229
Formula is given as;
N_t = N_o•e^(-kt)
Plugging in the relevant values;
12.5 = 25 × e^(-0.1229t)
e^(-0.1229t) = 12.5/25
e^(-0.1229t) = 0.5
(-0.1229t) = In 0.5
-0.1229t = -0.6931
t = -0.6931/-0.1229
t = 5.6 days
the decimal number 0.24999999 rounded to the hundreds place is equivalent to which fractions
a cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. alice chooses 20 cupcakes at random to create a box as a present for her friend. what is the probability that she chose
The probability that she chose:
(a) Eight banana and 6 coconut cupcakes is; 0.00563
(b) At least 2 chocolate cupcakes is; 0.99997522
(c) All cupcakes of the same kind is; 0.0000000027045
How to find the probability of selection?We are told cupcakes at the stand are;
Chocolate = 40
Coconut = 30
Banana = 20
Total number of chocolates = 40 + 30 + 20
Total number of chocolates = 90
a) Probability that she will choose 8 banana and 6 chocolate cakes if she chooses 20 cupcakes at random will be;
(20C₈ × 30C₆ × 40C₆)/90C₂₀
(125970 × 593775 × 3838380)/50980740277700939310
This gives us 0.00563
b) Probability of at least 2 chocolate cupcakes is;
1 - [P(no chocolate) + P(1 chocolate)]
P(no chocolate) = (50C₂₀)/90C₂₀
P(1 chocolate) = (40C₁ × 50C₁₉)/90C₂₀
Thus;
1 - [P(no chocolate) + P(1 chocolate)] = 1 - [(40C₁ × 50C₁₉) + 50C₂₀]/90C₂₀
This gives us; 0.99997522
c) Probability of getting all cupcakes of same kind is;
(40C₂₀ + 20C₂₀ + 30C₂₀)/90C₂₀
⇒ 0.0000000027045
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Complete question is;
A cupcake stand has 40 chocolate, 30 coconut and 20 banana cupcakes. Alice chooses 20 cupcakes at random to create a box as a present for her friend.
What is the probability that she chose:
(a) Eight banana and 6 coconut cupcakes?
(b) At least 2 chocolate cupcakes?
(c) All cupcakes of the same kind?