Answer:
-2x + 6y = 3
4x + 3y = 9
Answer: 2
Explanation:
-2(2)x + 6y = 3
4x + 3y = 9
-8x + 10y = 16
-4x - 5y = 13
Answer: -1/2
Explanation:
-8(-1/2)x + 10y = 16
-4x - 5y = 13
3x - 8y = 1
6x + 5y = 12
Answer: -2
Explanation:
3(-2)x - 8y = 1
6x + 5y = 12
10x - 4y = -8
-5x + 6y + = 10
Answer: 1/2
Explanation:
10(1/2)x - 4y = -8
-5x + 6y + = 10
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 50.3 min.
P(X > 50.2) = ________.
(Report answer accurate to 2 decimal places.)
Answer:
P(X > 50.3) = 0.85
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
\(P(X < x) = \frac{x - a}{b - a}\)
The probability of finding a value between c and d is:
\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)
The probability of finding a value above x is:
\(P(X > x) = \frac{b - x}{b - a}\)
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.
This means that \(a = 50, b = 52\)
If one such class is randomly selected, find the probability that the class length is more than 50.3 min.
\(P(X > 50.3) = \frac{52 - 50.3}{52 - 50} = 0.85\)
So
P(X > 50.3) = 0.85
PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION
Answer:
√6: 2.44
Step-by-step explanation:
first one since it's closer to the square root of 6
contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)
The value of covariance cov(y1, y2) is -0.222
y1
y2 0 1 2 Total
0 1/9 2/9 1/9 4/9
1 2/9 2/9 0 4/9
2 1/9 0 0 1/9
Total 4/9 4/9 1/9 1
marginal distribution of y2:
y2 P(y2) y2P(y2) y2^2P(y2)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1 0.66667 0.88889
E(y2) = 0.6667
E(y2^2) = 0.8889
Var(y2) = E(y2^2)-(E(y2))^2=0.4444
marginal distribution of y1
y1 P(y1) y1P(y1) y1^2P(y1)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1.00 0.6667 0.8889
E(y1) = 0.6667
E(y1^2) = 0.8889
Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444
E(XY) =∑xyP(x,y)=0.2222
Cov(y1,y2) = -0.222
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Hi :) I was wondering if you could help, I'm mixed up about this one.
Answer:
the image is sideways
Step-by-step explanation:
Answer:
well buddy see you thinking to hard its right there just relax and look closely
Step-by-step explanation:
3. Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars. 4. Choose one of your equations, and sketch its graph. Be sure to label the axes.
1. 2.50/10 = $.25 per ounce
2. We have one dollar
.25 *4 = 1 dollar, so we can multiply by 4 * 1 ounce
4 ounces will cost 1 dollar
3. c = $.25* p
We can also write this as
c = 1.00 (p/4) where p is the number of ounces
c = p/4
4. Using the last equation
c = p/4
where p is the number of ounces and c is the number of dollars the popcorn costs
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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the other one is 27
Analyse the table of values. The variable, T, represents the quantity (L) of gas in a tank and the variable, d, represents the distance travelled (km). What is the rate of change? Show calculations. Describe what this rate means in the real world? Graph this relation. Extrapolate to discover how far the vehicle travels before the tank is empty.
Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
a) d is on the x axis and T is on the y axis, the rate of change is gotten using the points (0, 75) and (300, 37.5). Hence the rate of change (m) is:
\(m=\frac{y_2-y_1}{x_2-x_1} =\frac{37.5-75}{300-0} =-0.125\)
b) The rate of change means that the quantity of gas in tank decreases by 0.125 for every km traveled.
c) The graph was plotted using geogebra online graphing tool.
d) Using the points (0, 75) and (300, 37.5), the equation of the line is:
\(T-T_1=\frac{T_2-T_1}{d_2-d_1}(x-x_1) \\\\T-75=\frac{37.5-75}{300-0}(d-0)\\\\T=-0.125d+75\)
The tank is empty when T = 0, hence:
0 = -0.125d + 75
0.125d = 75
d = 600 km
The tank is empty at 600 km
HELPPP OR MY MOM WILL KILL MEE!!
Describe the solution to the system of equations graphed below.
A.
The system has the unique solution (6, 6).
B.
The system has no solution.
C.
The system has infinitely many solutions of the form y = -3x + 6 where x is any real number.
D.
The system has the unique solution (0, 6).
Answer:
D
Step-by-step explanation:
f(t)= (t-5)^2 - 9 what are the zeros of the function? Smaller T: Larger t: What is the vertex of the parabola?: (__,__)
Smaller t = 2
Larger t = 5
Step-by-step explanation:
Given:
The given function is.
Find the zeros of the function.
Solution:
Simplify the equation above equation.
Now, we first find the root of the above equation.
Use quadratic formula with .
Put a, b and c value in above equation.
For positive sign
t = 2
For negative sign
t = 5
Put t = 2 in given function.
Put t = 5 in given function.
So, the zeros of the function is t = 2 or 5
Therefore, the smaller value of t = 2 and larger value of t = 5.
wut do u need answered
Answer:
nothing rn what do you need answered?
Step-by-step explanation:
Answer:
i have 0 questions to be answered anyway have a good day, week and happy new years and thanks for the points
* Given the following expressions:
I.
\( - \frac{5 }{8} + \frac{3}{5} \)
||.
\( \frac{1}{2} + \sqrt{2} \)
|||.
\(( \sqrt{5} ) \times ( \sqrt{5} )\)
IV.
\(3 \times ( \sqrt{49} )\)
Answer:
sorrry i forget you man ..... or bro .....
Please help with this
The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.
The formula to calculate sale price of the item according to discount and original price will be -
Sale price = 25% × original price
Keep the value of original price in the formula to find the sale price
Sale price = 25% × 35
Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item
Sale price = 8.75
Hence, the item on sale costs $8.75.
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The length of a rectangle is 1 units more than the width. The area of the rectangle is 72 units. What is the length, in units, of the rectangle?
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
\(y = ab^x\)
We have :
\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)
Given points : (4, 9) and (5, 34.2)
We have:
\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)
Writing the equation with x, y and b:
\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)
a = 0.043
b = 3.8
When x = 6, y will be:
\(y = (0.043)(3.8^6)\\\\y = 128.47\)
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
Lauren has already knit 24 centimeters of scarf, and can knit 1 centimeter each night. How
many nights will Lauren have to spend knitting in order to knit a total of 44 centimeters of
scarf?
Answer:
20
Step-by-step explanation:
44-24=20
help me please i’m suck on this one!!
Answer:
B
Step-by-step explanation:
Bc dont take my word repost this
help....................
The unit of the rate of change is (b) dollars per month
How to determine the unit of the rate of changeFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where we have
y = total amount in dollars
x = number of months
The rate of change is calculated as
Rate = y/x
substitute the known values in the above equation, so, we have the following representation
Rate = total amount in dollars/number of months
So, we have
Unit = dollars per month
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About what percent of a day (24 hours) is an 8-hour workday?
Which best describes how the graph of g(x) = 1/9 x relates to the graph of the parent function, f(x) = x ?
The graph of g(x) is shrunk vertically by a factor of 1/9.
The graph of g(x) is stretched vertically by a factor of 1/9 .
The graph of g(x) is shrunk vertically by a factor of 1/3.
The graph of g(x) is stretched vertically by a factor of 1/3.
which expressions are equivalent to 3^4/9/3^2/9? select all that apply
Answer:
first and third expressions
Step-by-step explanation:
using the rule of exponents
\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)
then
\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)
= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression
= \(3^{\frac{2}{9} }\) ← third expression
Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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For the dashed graph, describe the key features.
Maxima or Minima?……..
Number of solutions:………..
Solution(s)?…………
The width is Wider? Or Narrower?
than the graph of f(x)? (solid).
The key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)What is a graph?A graph is a pictorial representation of a function
To describe the key features of the dashed graph, we proceed as follows.
First, we notice that the dashed graph has a lowest point or vertex. This is at (4, 3). So, this is its minima at (4,3).Also, the dashed graph does not cut the x-axis, so, it has no solutionFinally, we can see that the dashed graph is narrower than the other undashed graphedSo, the key features of the dashed graph are
Minima at (4, 3)No solution andWidth is narrower than graph of f(x)Learn more about graph here:
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helpppp me please this is really hard for me to do right now
Part A: At her current rate, the distance Amy can ride her bike within 12 minutes is A. 1.6 miles.
Part B: Sebastian can ride his bike for C: 7.5 miles in 1 hour.
Part C: The time it will take for one to wait is B: Amy will have to wait 1.5 minutes for Sebastian.
How to determine the distance a rider can ride his bike?Part A:
To find the distance Amy can ride her bike in 12 minutes, we set up a proportion based on her current rate.
Amy's rate: 4 miles / 30 minutes = x miles / 12 minutes
Cross-multiplying:
30x = 4 * 12
30x = 48
Dividing both sides by 30:
x = 48 / 30
x ≈ 1.6
So, Amy can ride her bike at 1.6 miles in 12 minutes.
Part B:
To find the distance Sebastian can ride his bike in 1 hour, convert the time to minutes first.
1 hour = 60 minutes
Sebastian's rate: 3 miles / 24 minutes = x miles / 60 minutes
Cross-multiplying:
24x = 3 * 60
24x = 180
Dividing both sides by 24:
x = 180 / 24
x ≈ 7.5
Therefore, Sebastian can ride his bike at 7.5 miles in 1 hour.
Part C:
Amy's home to Park = 3 miles,
Park to Sebastian's home = 3 miles.
Amy's rate = 4 miles in 30 minutes, equivalent to 1 mile in 7.5 minutes.
Sebastian's rate = 3 miles in 24 minutes, equivalent to 1 mile in 8 minutes.
Then, we estimate the time it takes for each to cover a distance of 3 miles.
Amy:
Time = Distance / Rate = 3 miles / (2/15 miles/minute)
= 3 * (15/2) minutes
= 22.5 minutes
Sebastian:
Time = Distance / Rate = 3 miles / (1/8 miles/minute)
= 3 * 8 minutes
= 24 minutes
Since Amy= 22.5 mins and Sebastian takes 24 mins,
24 - 22.5 = 1.5
Hence, Amy will have to wait 1.5 minutes for Sebastian.
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1. What is pi?
2. And why is it important?
Answer:
pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.
{this is a long number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}
The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.
We can find pi in the shape of rivers, physics--including waves--DNA
[+ anywhere there is a circle]
hope this helps!! :)
Answer:
ratio of circle's circumference to diameter
it is constant
Gross income: $408.68
Deductions: $98.98
Net income: $_
Answer: $507.66
Step-by-step explanation:
408.68 + 98.98 = 507.66
PLS HELP I DONT KNOW THIS ONE ITS URGENT
Answer:
A. \( \frac{UV}{VW} = \frac{ZY}{YX} \)
Step-by-step explanation:
WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.
Thus, we would have the following equation which is true:
\( \frac{UV}{VW} = \frac{ZY}{YX} \)
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
IXL Help Fast ! Please And Thank You For Helping Me :)
Answer:
52 degrees
Step-by-step explanation:
first solve for x
9x-20=2x+36
9x=2x+56
7x=56
x=8
Now we find angle PTU
9(8)-20
72-20
52
Hopes this helps please mark brainliest
g(x)
12 fy
10
88
8
6
4
4-3-2-12
-8
10
-1²1
f(x)
4 5 6 x
Which statement is true regarding the functions on the
graph?
Of(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
PLEASE HURRY IM TIMED!!!!
Answer: f(3) = g(6)
Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer