Answer:
Option D.
Step-by-step explanation:
A function is a relation in which one input (x-value) is assigned to exactly one output (y-value).
Since option D's x-values do not repeat, then it is a function.
Hope this helps.
Y=4 -2x
у = -5 + 4х
||
Answer:
y=1
Step-by-step explanation:
y= 4 - 2x
y= -5 + 4x
4 - 2x = -5 + 4x
4 + 5 = 4x +2x
9 = 6x
9/6 = x
3/2 = x
y= 4 -2(3/2)
y = 4 - 3
y = 1
Hunter picked three quarts of blueberries. some of the blueberries are ripe and some are not ripe. If he takes one blueberry from the basket without looking, what are the outcomes
Answer:
Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...
Use this number line to help you answer the question. What is the opposite of -9? 100 points
Answer:
The opposite of -9 is 9
Step-by-step explanation:
Hope this helps you.
Answer:
Step-by-step explanation:
-5
The dimensions of a right rectangular prism are shown below.
1 in.
in
How many cubes with side lengths of 3 inch are needed to fill the prism without gaps or overlaps?
I will mark brainliest.
The number of cubes will be 546.
What is the volume?The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
The volume of the cuboid is,
Volume = (2¹/₆ x 1¹/₆ x 1 )
Volume = ( 13 / 6 ) x ( 7 / 6)
Volume = 91 / 36
The volume of a small cube is:-
Volume = (1/6) x (1/6)
Volume = 1/216
The number of cubes is,
Number = (91/36) ÷ (1/216)
Number = (91 x 216) / 36
Number = 546
To know more about volume follow
https://brainly.com/question/463363
#SPJ1
Find each missing angle measure.
m<1
m<2
m<3
m<4
m<5
A diver went 24 feet below the surface of the ocean, and then 47 feet down. What is the diver's new position relative to the surface?
Write an expression to represent the problem, and solve.
Answer:
71 feet below the water.
Step-by-step explanation:
x=the divers position relative to the surface
when x=0, the diver is at the surface.
when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.
Find the volume of the figure.
A) 111 in3
B) 165 in3
C) 201 in3
D) 309 in3
Answer:your answer is B.) 165 in3
Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they select 3 of the camps to sign her up for?
Answer:
This can be done in a total of 10 ways
Step-by-step explanation:
This is a selection problem.
What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.
Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION
Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways
which is mathematically equivalent to;
n!/(n-r)!r!
now applying this to the problem at hand, what we have is 5C3
= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways
(sqrt(6))/(8+\sqrt(10))
Answer:
\(\frac{4\sqrt{6}-\sqrt{15}}{27}\)
Step-by-step explanation:
\(\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\\)
\(\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}\)
-2 = g - 9 what does G equal??
What is meant by the phrase degrees of freedom as it pertains to the computation of the sample standard deviation?.
The phrase "Degrees of Freedom" in the computation of sample standard deviation is, n - 1.
Degrees of freedom:
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
Degrees of freedom is calculated by subtracting one from the number of items within the data sample.
Given,
Here we need to find the meaning for the phrase degrees of freedom as it pertains to the computation of the sample standard deviation
It means, There are n-1 degrees of freedom in the computation of s because an unknown parameter is estimated by the sample mean.
For each parameter estimated, 1 degree of freedom is lost.
To know more about Degrees of Freedom here.
https://brainly.com/question/16254305
#SPJ4
Michael is paid $450 per week and receives a 4% commission on sales in excess of $1000. What was Michaels sales in a week if he paid $570?
farmer ann wishes to build a rectangular fence which encloses a total area of 600 square feet. the fence must include an internal divider, as shown. what is the minimal total length of fencing that this project will require?
The minimal total length of fencing required for the project is 100√6 feet.
To find the minimal total length of fencing required for Farmer Ann's rectangular fence, we need to consider the dimensions of the fence.
Let's assume the length of the rectangle is L and the width is W. Since there is an internal divider, we can divide the rectangle into two equal halves, each with dimensions L/2 and W.
The total area of the fence is given as 600 square feet, so we have the equation:
(L/2) * W = 600
To minimize the total length of fencing, we need to find the dimensions that satisfy the above equation while minimizing the perimeter.
To do that, we can express one variable in terms of the other. Solving the equation for W, we get:
W = (600 * 2) / L
Now we can express the perimeter P in terms of L:
P = L + 2W = L + 2((600 * 2) / L)
To find the minimum perimeter, we need to find the critical points by taking the derivative of P with respect to L and setting it equal to zero:
dP/dL = 1 - 2(1200 / L^2) = 0
Solving for L, we get L = sqrt(2400) = 40√6.
Now we can substitute this value of L back into the equation for W:
W = (600 * 2) / (40√6) = 30√6.
Finally, we can calculate the minimal total length of fencing by adding the lengths of all sides:
Total length = L + 2W = 40√6 + 2(30√6) = 40√6 + 60√6 = 100√6.
Know more about length here:
https://brainly.com/question/32060888
#SPJ11
What do I do in this question
Step-by-step explanation:
X × 3 + 4 = 22
X × 3 = 22 - 4
X × 3 = 18
X = 18 /3
X = 6
7 ܕ . = Question 2 Let X1, ... , Xn be a collection of random variables with joint density px(x1,...,xn) and let g:R" R" be an invertible function from (21, ... , Xn) to (91, ... , Yn) like Y; = gi(X1, ..., Xn) for i = 1,..., n. The transformed variables Y1, ..., Yn have a joint density py(41, ..., yn) given by py(y1, ... , Yn) =Px(g-1(41, ... , Yn))|det Vg-(y1, ... , Yn)). In the above, det Al is the absolute value of the determinant of the matrix A, and Vf denotes the Jacobian of the function f. (a) Let n = 2 and assume that X1, X2 ~ Normal(0,1) are two independent standard normal random variables, and consider the following parameters as known: -00 < M1, M2 too, 0) < 01,02 < too and p such that -1 < p < 1. Now consider the function 9: R2 + R2 g(+1, 12) = (0101 +41,02(p.21 + V1 – p?x2) + 42) For (Y1, Y2) = g(X1, X2) derive the joint density py(y1, y2) of the pair Yı, Y2 in its simplest form and compute their covariance. = = (b) For the variables Y1, Y2 as in the previous part consider the conditional density function of Y2 given Y1 = y1. For this distribution work out the conditional mean and variance.
The joint density of Y1 and Y2, which are transformed variables of X1 and X2 is (1 / (2πσ1σ2√(1 - p²))) exp[-((y1 - u1)² / (2σ1²)) - ((y2 - u2 - pσ1(x1 - u1))² / (2σ2²(1 - p²)))] and their covariance Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2).
To find the joint density function py(y1, y2), we first need to find the inverse function g⁻¹(y1, y2) of g(x1, x2). Solving for x1 and x2 in terms of y1 and y2 respectively, we get
x1 = (y1 - u1) / σ1
x2 = [(y2 - u2) / σ2 - p(x1)] / √(1 - p²)
Next, we need to find the Jacobian of the inverse transformation Δg⁻¹(y1, y2). Taking the partial derivatives of x1 and x2 with respect to y1 and y2, we get
∂x1 / ∂y1 = 1 / σ1
∂x1 / ∂y2 = 0
∂x2 / ∂y1 = -p / (σ1√(1 - p²))
∂x2 / ∂y2 = 1 / (σ2√(1 - p²))
The Jacobian of the inverse transformation is the determinant of the matrix formed by these partial derivatives
Δg⁻¹(y1, y2) = |∂(x1,x2) / ∂(y1,y2)| = |(1 / σ1) (1 / (σ2√(1 - p²)) - p / (σ1√(1 - p²)))| = 1 / (σ1σ2√(1 - p²))
Finally, substituting g⁻¹(y1, y2) and Δg⁻¹(y1, y2) into the formula for the joint density function, we get
py(y1, y2) = px(g⁻¹(y1, y2)) |Δg⁻¹(y1, y2)|
= (1 / (2π) exp[-(x1² + x2²) / 2]) |Δg⁻¹(y1, y2)|
= (1 / (2πσ1σ2√(1 - p²))) exp[-((y1 - u1)² / (2σ1²)) - ((y2 - u2 - pσ1(x1 - u1))² / (2σ2²(1 - p²)))]
To compute the covariance, we use the formula
Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2)
The expected values E(Y1) and E(Y2) are easy to compute by taking the integrals of y1py(y1, y2) and y2py(y1, y2) over their respective ranges. For E(Y1Y2), we need to compute the double integral of y1y2py(y1, y2) over the ranges of y1 and y2. Once we have these expected values, we can substitute them into the formula for the covariance.
To know more about Covariance:
https://brainly.com/question/14300312
#SPJ4
--The given question is incomplete, the complete question is given
"Question 2 Let X1, ... , Xn be a collection of random variables with joint density px(x1,...,xn) and let g:Rⁿ--> Rⁿ be an invertible function from (x1, ... , Xn) to (y1, ... , yn) like Y; = gi(X1, ..., Xn) for i = 1,..., n.
The transformed variables Y1, ..., Yn have a joint density py(y1, ..., yn) given by py(y1, ... , Yn) =Px(g⁻¹(y1, ... , yn))|det Δg⁻¹(y1, ... , Yn)).
In the above, l det A l is the absolute value of the determinant of the matrix A, and Δf denotes the Jacobian of the function f.
Let n = 2 and assume that X1, X2 ~ Normal(0,1) are two independent standard normal random variables, and consider the following parameters as known: -∞ < u1, u2 <∞ , 0 < σ1,σ2 < ∞ and p such that -1 < p < 1. Now consider the function g: R2 --> R2
g(x1, x2) = (σ1x1 +u1,σ2(px1 + u1σ2(px1 + (√(1-p²)) x2) + u2) For (Y1, Y2) = g(X1, X2) derive the joint density py(y1, y2) of the pair Yı, Y2 in its simplest form and compute their covariance."--
is it true?
32.55 rounds to 32
Answer:
False. 32.55 rounds to 33
Step-by-step explanation:
If the number after the decimal is larger than 4, then you round up.
Answer:
This isn't true.
Step-by-step explanation:
This isn't true because the fives (5) in 32.55 causes the number to be rounded up to 32. If this doesn't make sense, please message me and I can help you further!
Help wit 19 ASAP WILL MARK BRAINLIST
Answer:
m∠a = 60°
Step-by-step explanation:
Hi there,
Before answering this question, you should know that the sum of all the angles in a triangle will always be 180°. Therefore, we can write this equation to find the value of ∠a :
70° + 50° + m∠a = 180°
Solve for m∠a
120° + m∠a = 180°
m∠a = 60°
Hope this answer helps. Cheers.
Which must be true in order for the relationship triangle ZYX sim triangle WVU to be correct? overline ZY || overline WV; angle Z cong angle Y and angle W cong angle V; overline ZY cong overline YX and overline WV cong overline VU; angle Z cong angle W and angle X cong angle U
Answer:
D edg 2021
Step-by-step explanation:
The statement that must be true for the triangles ZYX and WVU to be similar is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
What are Similar Triangles?Triangles that are similar have corresponding angles that are congruent and corresponding side lengths that are proportional.
If triangles ZYX nd WVU are similar, their angles will be congruent to each other and their corresponding sides will be proportional.
Therefore, the statement that must be true for the triangles ZYX and WVU to be similar is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
Learn more about similar triangles on:
https://brainly.com/question/2644832
the faucet can fill the tub in 15 minutes. the drain can empty the tub in 20 minutes. how long will it take to fill the tub with drain open?
Using Tap working problem solving,
when faucet and drain working together, the time to fill up the tub is 60 minutes.
We have the following information about question,
The time taken by faucet to fill up the tub
= 15 minutes
The time taken by drain to empty the tub
= 20 minutes
we have to calculate the time in which the tub is fully fill the tube with drain open.
Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .
Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.
In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub
Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.
To learn more about Tap working problem , refer:
https://brainly.com/question/386986
#SPJ4
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below.
0.40 x + y = 45. x + 0.55 y = 18.75.
Which explains the error that Krista made?
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below.
0.40 x + y = 45. x + 0.55 y = 18.75.
Which explains the error that Krista made?
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not use the correct decimal to represent the total cost of the stamps.
Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Krista put 0.55 in the second equation meant for the value of stamps.
Krista put 0.40 in the first equation meant for the number of stamps. Therefore, option A is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let 40 cents stamps be x and 55 cents stamps be y.
Now, x+y=45 --------------(I)
0.40x+0.55y=18.75 --------------(II)
System of equations Krista written are
0.40x+y=45 and x+0.55y=18.75
Therefore, option A is the correct answer.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
What bigger 2/9 or 0.9
Answer:
.9
Step-by-step explanation:
2/9=.22222 repeating
Answer:
0.9 is bigger
explanation:
0.9 is bigger because 2 divided by 9 is equal to 0.2222222222222222222 and it goes on.
the product of 14 and g =
Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Determine
B B B 5 , 6 , and 7
. Explain how you determined these amounts.
(b) Estimate
B B B 1 , 2 , and 3
. Explain how you determined these amounts.
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day
12 was the same amount of money she put into her account each day between Day 0 and Day 4.
Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could
you show Jade why that cannot be true?
Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c) I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.
Step-by-step explanation:
In regression analysis, the error term ε is a random variable with a mean or expected value of.
In regression analysis , the error term ε is a random variable with expected value of 0.
What is regression analysis?
A set of statistical procedures known as regression analysis is used to estimate the relationships between a dependent variable and one or more independent variables.
Main Body:
In regression analysis, the model in the form is called regression model.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, E(y) = β0 + β1x, is known as regression equation.
So the answer to error term is 0.
To learn more about regression analysis click on the link below
https://brainly.com/question/28178214
#SPJ4
George is buying peaches and kiwis. He buys p peaches at $4.29 each and k kiwis at $2 each. What expression would you write to show the total cost of the peaches and kiwis?
Answer:
Step-by-step explanation:
the total cost, c will be
c= p(4.29)+k(2)
Solve each equation. 4 y-6=2 y+8
The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
According to the given question.
We have a linear equation in one variable.
4y - 6 = 2y + 8
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by
4y - 6 = 2y + 8
⇒ 4y - 2y - 6 = 8 ( subtracting 2y from both the sides)
⇒ 2y -6 -8 = 0 (subtracting 8 from both the sides)
⇒ 2y - 14 = 0
⇒ 2y = 14
⇒ y = 14/2
⇒ y = 7
Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
Find out more information about equation here:
https://brainly.com/question/28583552
#SPJ4
Help!!! ASAP!!!!!!!!!!!!! 50 POINTS GOING ONCE GOONG TWICE
Answer:
first option
Step-by-step explanation:
Since the triangles are congruent, then corresponding sides and angles are congruent, that is
EF = BC = 10
∠ D = ∠ A = 37°
porfa ayuda plissss
(SINO SABES NO CONTESTES)
DOY PUNTOS
Answer:
B
Step-by-step explanation:
Si cuentas desde el once hasta el espacio entre A y B llegas hasta 5. Entonces el número que está en ese espacio es 11.05
Answer:
ES LA B AMIGA
Step-by-step explanation:
solve the system of equations by elimantion
4x + 3y = 2
5x - 2y = 14
Answer:x=2 y=-2
Step-by-step explanation:
Fill it in it’s right use substitute or elimination to get it
Alex expects to graduate in 3.5 years and hopes to buy a new car then. He will need a 20% down payment, which amounts to $3600 for the car he wants. How much should he save now to have $3600 when he graduates if he can invest it at 6% compounded monthly?
The question is: Alex expects to graduate in 3.5 years and hopes to buy a new car then. He will need a 20% down payment, which amounts to $3600 for the car he wants.
How much should he save now to have $3600 when he graduates if he can invest it at 6% compounded monthly?To determine the value of Alex's savings when he graduates, use the future value formula: $$FV=P\cdot{\left(1+\frac{r}{n}\right)}^{nt}$$where FV is the future value, P is the principal (the amount Alex saves), r is the annual interest rate (6%), n is the number of times interest is compounded per year (12, since the interest is compounded monthly), and t is the time in years.
Therefore, using the formula, $$FV=P\ cdot{\left(1+\frac{r}{n}\right)}^{nt}$$$$3600=P\cdot{\left(1+\frac{0.06}{12}\right)}^{12(3.5)}$$$$3600=P\cdot{\left(1+0.005\right)}^{42}$$$$3600=P\cdot{1.270096}$$Divide both sides of the equation by 1.270096 to solve for P, $$\frac{3600}{1.270096}=P$$$$2833.41=P$$Therefore, Alex should save $2833.41 to have $3600 when he graduates if he can invest it at 6% compounded monthly.
Know more about Alex expects here:
https://brainly.com/question/10800144
#SPJ11