Choosing blue or red: 3 blue + 4 red = 7 marbles
3 blue + 2 green + 4 red + 1 yellow = 10 marbles
Probability blue or red marble: 7/10
Choosing a marble that isn't blue or red: 2 green + 1 yellow = 3 marbles
Total marbles: 3 blue + 2 green + 4 red + 1 yellow = 10 marbles
Probability non-blue or red marble: 3/10
Answer:
Dimensions of the rectangular plot will be 500 ft by 750 ft.
Step-by-step explanation:
Let the length of the rectangular plot = x ft.
and the width of the plot = y ft.
Cost to fence the length at the cost $3.00 per feet = 3x
Cost to fence the width of the cost $2.00 per feet = 2y
Total cost to fence all sides of rectangular plot = 2(3x + 2y)
2(3x + 2y) = 6,000
3x + 2y = 3,000 ----------(1)
3x + 2y = 3000
2y = 3000 - 3x
y = ![\frac{1}{2}[3000-3x]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B3000-3x%5D)
y = 1500 - 
Now area of the rectangle A = xy square feet
A = x[
]
For maximum area 
A' = 
= 0
1500 - 3x = 0
3x = 1500
x = 500 ft
From equation (1),
y = 1500 - 
y = 1500 - 750
y = 750 ft
Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.
two fencing 3(500+500) = $3000
other two fencing 2(750+750) = $3000
Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
Researching the problem on the internet, the values of x and y are given as follows:
- Values of x: 1, 2, 3, 4, 5, 6.
- Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.
Hence, using a calculator, the equation for the average minutes per mile after t days is given by:
V(t) = -0.15143t + 8.28
Hence, for the 9th day, t = 9, hence the estimate is:
V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.
More can be learned about regression equations at brainly.com/question/25987747
#SPJ1
Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
Answer:
4
5(2)+5(7)
Step-by-step explanation:
