Theoretical probability formula: Favorable Outcomes/All Possible Outcomes
So let's find the theoretical probability for each option.
"Not picking a square"
So, there are 2 squares out of the 8 total shapes (2 circles + 4 triangles + 2 squares) So do 8-2=6... This is subtracting the number of squares out. So we are now left with 6/8.. Reduce the fraction: GCF is 2, so 6/8 simplifies to 3/4. So, "Not picking a square" is an option!
"Picking a square"
Okay so there are 2 squares (favorable outcome) out of 8 shapes in total (all possible outcomes) so the fraction is 2/8. Now simplify: GCF = 2, so 2/8 = 1/4. "Picking a square" is NOT an option
"Picking a triangle"
There are 4 triangles out of 8 shapes, so the fraction is 4/8 which = 1/2. The theoretical probability of picking a triangle is 1/2 and thus NOT an option.
"Picking a shape that has only straight edges"
So this basically means every shape that's not a circle. So, there are 4 triangles + 2 squares = 6 total shapes with straight edges. So there are 6 shapes with straight edges out of 8 total shapes: 6/8 reduces to 3/4. "Picking a shape that has only straight edges" IS an option! :D
LASTLY!
"Not picking a circle"
There are only 2 circles out of 8 total shapes, so 8-2=6 so the fraction is 6/8. This reduces to 3/4. "Not picking a circle" Is an option!
CORRECT ANSWERS:
Not picking a square
Picking a shape that has only straight edges
Not picking a circle
Have a good day!
Answer:
A, D, and E
Step-by-step explanation:
got it right on edge
Answer:
77
Step-by-step explanation:
-1 + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 77
Hope this helps :)
A. The x-coordinate is negative, and the y-coordinate is negative.
B. The x-coordinate is positive, and the y-coordinate is positive.
C. The x-coordinate is positive, and the y-coordinate is negative.
O D. The x-coordinate is negative, and the y-coordinate is positive.
Please hurry
The correct answer is B. The x-coordinate is positive, and the y-coordinate is positive, is true about points located in quadrant I in the coordinate plane.
We know that,
Quadrant I is the top-right quadrant of the Cartesian coordinate plane.
In this quadrant, both the x-coordinate and the y-coordinate are positive.
This means that the values of both the horizontal (x) and vertical (y) distances from the origin are increasing as you move to the right and upward from the origin.
Option A is incorrect because it states that both the x-coordinate and y-coordinate are negative, which is not true for points in Quadrant I.
Option C is incorrect because it states that the x-coordinate is positive and the y-coordinate is negative, which is not true for points in Quadrant I.
Option D is incorrect because it states that the x-coordinate is negative and the y-coordinate is positive, which is not true for points in Quadrant I.
Quadrant I is characterized by positive values for both the x-coordinate and the y-coordinate,
so the correct answer is Option B.
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Answer:
B
Step-by-step explanation:
In Quadrant I, both the x– and y-coordinates are positive; in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive; in Quadrant III both are negative; and in Quadrant IV, x is positive but y is negative.
How many additional wells should be drilled to obtain the maximum amount of oil per day?
Answer:
The additional wells for maximum amount of oil per day is 3 wells.
Step-by-step explanation:
Given;
initial number of wells, n = 6
total production, T = 1800
average production per well, = 1800/6 = 300 barrels per day
Let the additional well = y
total number of wells after optimization = 6 + y
new production per well = 300 - 25y
new total production = (6+y)(300-25y)
t = 1800 - 150y + 300y - 25y²
t = 1800 + 150y - 25y²
dt / dy = 150 -50y
for maximum value, dt/dy = 0
150 - 50y = 0
50y = 150
y = 150 / 50
y = 3
Therefore, the additional wells for maximum amount of oil per day is 3 wells.
By setting up the equation of the total daily oil production and finding its maximum, we learn that approximately 13 additional wells should be drilled to maximize the daily oil production.
To find out how many additional wells should be drilled to obtain the maximum
amount of oil
per day, we must firstly set up an equation to represent the situation. The total daily oil production is equal to the number of wells multiplied by the daily production per well. Given the conditions in the question, we can express this as:
Total daily oil production = (6 + x) * (1800 - 25x)
where x represents the number of additional wells that should be drilled. In order to find the maximum of this function, we would have to differentiate this equation and set the derivative equal to 0 then solve for x. This would be up to the individual's level of mathematical experience. However, one can use a financial calculator or a graphic calculator to find the maximum and get approximately 13 additional wells.
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Answer:
4 miles in 1 min
Step-by-step explanation:
The equation of line passing through points (-4, 1) and (2, 3) will be
3y = x + 7
An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -
[y] < [m]x + [c]
[y] > [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight lineinequality can be also written as -
Ax + By + C > 0
By > - Ax - C
y > (- A/B)x - (C/A)
Given is inequality's solution graphed [Refer to graph attached].
The inequality whose solution is graphed is -
5x + 3 > 3
On solving -
5x + 3 > 3
5x + 3 - 3 > 3 - 3
5x > 0
x > 0
Therefore, the inequality whose solution is graphed is
5x + 3 > 3
(Refer the image attached, for reference)
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