The final statement is The linear equation is xx₁+xy₁=6532
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: Total trackers sold =42 and total sales=$6574
let x models of 1st model and 42-x models of 2nd model be sold and their respective selling price be x₁ and y₁, then we have
xx₁+42+xy₁=6574
xx₁+xy₁=6532
Hence, The linear equation is xx₁+xy₁=6532
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62/8
With a remainder
Answer:
7 and 6/8
Step-by-step explanation:
Answer:
Step 1: 8 times what equals the closest number to 62?
Answer: 8*7=56
Step 2: what do you have left oveR?
answer: 6
Step 3: put it together.
ANSWER: 7 with a remander of 6 (7.6)
Step-by-step explanation:
7.6
sorry if it took to long i wanted to show you how to do it so next time you know:)
Brainliest is appreciated:)
Have a great day mate!
An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following a large-sample. To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ___. Round your answer to three decimal places.
Answer:
The sample proportion is p = 0.04.
Step-by-step explanation:
The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...
Sample of 200 pills.
Eight have failed to retain their full potency.
So the sample proportion is:
[tex]p = \frac{8}{200} = 0.04[/tex]
X=8
THE DIRECTIONS ARE ON THE TOP
Answer:
y = 40
Step-by-step explanation:
For #7, we are told that y = 10 when x = 2
We are also told that 'y varies directly as x'. That means there is some constant number, k, so that
Formula --> y = kx
Since y=10 and x= 2, we substitute those numbers into the formula.
We get 10 = k × 2.
So k has to be 5, right?
k = 5
So what is y when x = 8?
Use the formula.
y=kx ---> That gives us y = k × 8. But we know k is 5.
So y = 5 × 8 = 40
y = 40
9514 1404 393
Answer:
7. y = 5x; y = 40
8. y = 1/3x; y = 8/3
Step-by-step explanation:
In the direct proportion equation y=kx, the value of k can be found as ...
k = y/x . . . . . divide both sides by x to solve for k
__
7. k = 10/2 = 5
The equation is ...
y = 5x
For x=8, the value of y is found using the equation:
y = 5(8) = 40
__
8. Same deal, different numbers.
k = 6/18 = 1/3
y = 1/3x . . . . . the equation
y = 8/3 . . . . . y for x=8
Which is equivalent to Square root 10 3/4 x
?
What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?
y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)
Answer:
A. y + 7 = 2/5(x + 4)
Step-by-step explanation:
gradient (m) = 2/5(x1, y1) → (-4, - 7)x1 = -4y1 = -7so,
[tex] \rm y - y1 = m(x - x1)[/tex]
[tex] \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))[/tex]
[tex] \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}[/tex]
Which combination of boxes of candy and bags of popcorn could the group buy?
A) 3 boxes of candy and 6 bags of popcorn
B) 3 boxes of candy and 4 bags of popcorn
C) 5 boxes of candy and 4 bags of popcorn
D) 8 boxes of candy and 1 bag of popcorn
PLEASE HELP ASAP!
Convert 20% into a fraction
ANSWER QUICKK
Answer:
1/5.
Step-by-step explanation:
20%
20/100
20/20 / 100/20
= 1/5
---
Hope this helps!
Answer:
20/100 or 1/5
Step-by-step explanation:
Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25
hope it helps! :3
I need help if you can help me I would really appreciate it
Answer:
A. f(x) = −2|x| + 1
Step-by-step explanation:
pls help me answer this !!
We want our exponential function to look like
y = ab^x.
Let a = the initial y-value.
Our initial value is the first number given for f(x). So, a = 3.
Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.
We find b by division.
So, b = the next number divided by the previous.
So, b = 6/3 = 2.
We now plug in our values into the general formula above.
y = ab^x
Answer: y = (3)(2)^x
g(x) = 5x - 12x2 + 3
The factor of the function will be (4x - 3) and (3x + 1). The graph of the function is shown below.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
g(x) = 5x - 12x² + 3
Then the function can be written as
g(x) = - 12x² + 5x + 3
Then the factor of the function will be
g(x) = 0
Then we have
- 12x² + 5x + 3 = 0
12x² - 5x - 3 = 0
12x² - 9x + 4x - 3 = 0
(4x - 3)(3x + 1) = 0
x = -0.33 and 0.75
Then the graph of the equation will be given below.
More about the factorization link is given below.
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write an equation for a line with slope of 1/4 passing through -1,-5 in slope intercept form
Answer:
y = 1/4x - 19/4
Step-by-step explanation:
Use the equation y = mx +b
x (x coordinate) = -1
y (y coordinate) = -5
slope (m) = 1/4
Plug in!
-5 = 1/4(-1) + b
-5 = -1/4 + b
-5 + 1/4 = b (Add 1/4 to both sides)
-20/4 + 1/4 = b
-19/4 = b
y = 1/4x - 19/4
What is x?
x/8 + 6 = 4
x=_?
Answer:x=-16
Step-by-step explanation:
Subtract 6 from both sides
x/8=-2
Multiply the number by 8 on both sides to get x by itself
x=-16
Hope you are having a good day and if you could, brainliest would be nice
Solve the equation:
4+6k=4
Select one:
k=−20
k=20
k=0
k=12
Answer:
[tex]k = 0[/tex]
Step-by-step explanation:1) Cancle 4 on both sides.
[tex]6k = 0[/tex]
2) Divide both sides by 6.
[tex]k = 0[/tex]
Therefor, the answer is option C.
At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If the total number of people attending the game was 600, how many people attending were supporters of the home team?
Answer:
552 supporters of the home team.
Step-by-step explanation:
92% × 600 = 552
Answer:
552
Step-by-step explanation:
92% divided by 100= .92
600x.92+552
How do you solve this and what is the answer?
Answer:
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
since we know ABC = 30° we can solve for AOC with a bit of Algebra
30 = 1/2 AOC
60 ° = AOC
:) does it make sense?
the formula about is for inscribed angles , that is an angle that touches the outside of the circle and then goes through the other side. :) Like ∠ABC
Solve the equation.
t-12=3
Answer:
t = 15
Step-by-step explanation:
t - 12 = 3
t = 3 + 12
t = 15
2) X and Y are jointly continuous with joint pdf
From what I gather from your latest comments, the PDF is given to be
[tex]f_{X,Y}(x,y)=\begin{cases}cxy&\text{for }0\le x,y \le1\\0&\text{otherwise}\end{cases}[/tex]
and in particular, f(x, y) = cxy over the unit square [0, 1]², meaning for 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. (As opposed to the unbounded domain, x ≤ 0 *and* y ≤ 1.)
(a) Find c such that f is a proper density function. This would require
[tex]\displaystyle\int_0^1\int_0^1 cxy\,\mathrm dx\,\mathrm dy=c\left(\int_0^1x\,\mathrm dx\right)\left(\int_0^1y\,\mathrm dy\right)=\frac c{2^2}=1\implies \boxed{c=4}[/tex]
(b) Get the marginal density of X by integrating the joint density with respect to y :
[tex]f_X(x)=\displaystyle\int_0^1 4xy\,\mathrm dy=(2xy^2)\bigg|_{y=0}^{y=1}=\begin{cases}2x&\text{for }0\le x\le 1\\0&\text{otherwise}\end{cases}[/tex]
(c) Get the marginal density of Y by integrating with respect to x instead:
[tex]f_Y(y)=\displaystyle\int_0^14xy\,\mathrm dx=\begin{cases}2y&\text{for }0\le y\le1\\0&\text{otherwise}\end{cases}[/tex]
(d) The conditional distribution of X given Y can obtained by dividing the joint density by the marginal density of Y (which follows directly from the definition of conditional probability):
[tex]f_{X\mid Y}(x\mid y)=\dfrac{f_{X,Y}(x,y)}{f_Y(y)}=\begin{cases}2x&\text{for }0\le x\le 1\\0&\text{otherwise}\end{cases}[/tex]
(e) From the definition of expectation:
[tex]E[X]=\displaystyle\int_0^1\int_0^1 x\,f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=4\left(\int_0^1x^2\,\mathrm dx\right)\left(\int_0^1y\,\mathrm dy\right)=\boxed{\frac23}[/tex]
[tex]E[Y]=\displaystyle\int_0^1\int_0^1 y\,f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=4\left(\int_0^1x\,\mathrm dx\right)\left(\int_0^1y^2\,\mathrm dy\right)=\boxed{\frac23}[/tex]
[tex]E[XY]=\displaystyle\int_0^1\int_0^1xy\,f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=4\left(\int_0^1x^2\,\mathrm dx\right)\left(\int_0^1y^2\,\mathrm dy\right)=\boxed{\frac49}[/tex]
(f) Note that the density of X | Y in part (d) identical to the marginal density of X found in (b), so yes, X and Y are indeed independent.
The result in (e) agrees with this conclusion, since E[XY] = E[X] E[Y] (but keep in mind that this is a property of independent random variables; equality alone does not imply independence.)
What is the area of this circle?
Answer:
area = 28.26 in²
Step-by-step explanation:
area = 3²(π) = 9(3.14) = 28.26 in²
Answer:
28.27 in^2
Step-by-step explanation:
Area of a circle = pi*r^2
pi*9=28.27
suppose a graph shows that Jenny started with $3 and saved $2 each day. What would point (5,13) represent?
Answer:
5 is the amount of days shes been saving for
13 would be the total money she has now
Step-by-step explanation:
Days / Money saved
0 / 3
1 / 5
2 / 7
3 / 9
4 / 11
5 / 13
A number line going from negative 3 to positive 5. A closed circle is at 2. Everything to the right of the circle is shaded. Which inequality is graphed? 2 < x 2 > x 2 Less-than-or-equal-to x 2 Greater-than-or-equal-to x
Answer:
2 Less-than-or-equal-to x
Step-by-step explanation:
Select all the properties of a right triangle.
Group of answer choices
Has a right angle
Has one obtuse angle
Has perpendicular lines
Has three acute angles
Answer:
aaaaa
Step-by-step expaalanation:
aa
Answer:
It should be answers one and three
What is the sum of the interior angles of the polygon below?
A polygon with 5 sides.
°
Answer:
just draw a diagonal of the figure and you note it turns into two triangles.
hence sum = 2 × 180= 360 degree
x
Practice Session - Volume - Study Island
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Volume
3
The prism below is made of cubes which measure Ž of a centimeter on one side. What is the volume?
Note: Figure is not drawn to scale.
Answer:
The Volume Is 1 3/6
Step-by-step explanation
How know took the test got A 100 PLZ MAKE BRAINLIEST!!
solve for x. im pretty confused on how to do this i thought it was 60 but i was wrong
Answer: x = 12
Step-by-step explanation:
You're on the right track! You're right in saying that each angle has to be 60 degrees since they're supposed to add up to 180. However, the question is asking what x equals, so we set up the equation:
5x = 60
x = 12
Please help I have no clue lol
Answer:
x=12
y=44
z=25
Step-by-step explanation:
Since it's an equilateral triangle, all 3 angles have to equal 60.
5x=60
x=12
y+16=60
y=44
3z-15=60
3z=75
z=25
What is the slope of a line perpendicular to the line who’s equation is x-y=5 fully reduce your answer
Answer:
-1
Step-by-step explanation:
Use the slope intercept formula(y=mx+b) to find the slope of a line.
First, you will want to put everything into it's proper order, so you will get -y=-x+5.
You cannot have a negative y, so divide everything by -1 and you will get y=x-5.
1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..
The reciprocal of 1 is -1. -1 is the slope of the perpendicular line
Can anyone solo be this?
Answer:
x = 10
Step-by-step explanation:
Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value). Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.
Answer:
x=10
Step-by-step explanation:
Hey There!
Those are a pair of vertical angles
Therefore they are congruent
congruent meaning identical in form
So we would setup and equation and because the angles are congruent the equation would be
12x=10x+20 and solve for x
Step 1 subtract 10x from each side
10x-10x cancels out
12x-10x=2x
now we have
2x=20
Step 2 divide each side by 2
2/2 cancels out
20/2=10
Therefore x=10
O
.
Suppose that you want to save money and would like to find a savings option that earns you the most
money in interest. You have $1000 to put towards savings. After surveying several banks for savings
plans, you found these options. "A" represents the amount you will have in the bank after x years.
Option A: Your money would receive simple interest at the end of 5 years.
The formula is: A = 1000 + 1000(0.05)x
Option B: Your money will be compounded continuously.
The formula is: A = 1000(2.71828)(0.05x)
Option C: You will invest in a CD (Certificate of Deposit) compounded yearly.
o The formula is: A = 1000(1.05)*
Option D: You buy a US Savings Bond.
The savings bond costs $1000 now. When cashed in 5 years later, the amount will be
$1267. You must leave the money in the savings bond for 5 years to earn any interest.
But, you do not receive any additional interest if you leave it in longer than 5 years.
O
1. Each option represents a function. State the type of function (linear, exponential, or "other")
described by each of the options. Explain your answers. (2 points)
2. Determine the value of each option at the end of 5 years. (2 points each; 8 points total)
Option A
Option B
Option
Option D
what is the y coordinate of 5, -6
Answer plz. Give an explanation so I know ur not just getting points so I dont report. Thank you!
Answer:
C
Step-by-step explanation:
Hey There!
The answer is C because x would equal what 42% of 12 would be if that makes sense