Answer:
0.368
Step-by-step explanation:
Number of red marbles= 3
Number of blue marbles= 4
Number of green marbles= 7
Total number of marbles= 3+4+7= 14
Let the first ball is taken out to be red
P(R)=
than again a second ball is drawn, number of balls left= 14-1=13
Number of red= 2
P(R)=
Total probability=+
Total probability= 0.368
Hence, the correct answer is 0.368
The solution of the system of equations is (-3 , -2)
Step-by-step explanation:
Steps for Using Linear Combinations Method)
- Arrange the equations with like terms in columns
- Analyze the coefficients of x or y
- Add the equations and solve for the remaining variable
- Substitute the value into either equation and solve
∵ 3 x - 8 y = 7 ⇒ (1)
∵ x + 2 y = -7 ⇒ (2)
- Multiply equation (2) by 4 to make the coefficients of y are equal in
magnitude and different in sign
∴ 4 x + 8 y = -28 ⇒ (3)
Add equations (1) and (3)
∵ 3 x - 8 y = 7 ⇒ (1)
∵ 4 x + 8 y = -28 ⇒ (3)
∴ 7 x = -21
- Divide both sides by 7
∴ x = -3
Substitute the value of x in equation (2) to find y
∵ x + 2 y = -7 ⇒ (2)
∵ x = -3
∴ -3 + 2 y = -7
- Add 3 to both sides
∴ 2 y = -4
- Divide both sides by 2
∴ y = -2
The solution of the system of equations is (-3 , -2)
Learn more:
You can learn more about the system of the linear equations in brainly.com/question/13168205
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Answer:
P = 150 - 25w
Step-by-step explanation:
Amount borrowed = $150
Repayment amount = $25 each week
P = amount Nancy owes
w = number of weeks
Amount Nancy owes = amount borrowed - repayment plan per week
P = 150 - 25w
During the first week of repayment: when w = 1
P = 150 - 25w
P = 150 - 25(1)
= 150 - 25
= 125
P = $125
You have to know that the graph of the arctangent function is a flat S-shaped curve that goes through (0, 0) and has asymptotes at ±π/2. The factor of 2 that multiplies it here expands it vertically so the asymptotes are at ±π. The +3 added to the x causes it to be shifted to the left by 3 units.
Let us say that x is the real height of the original hut,
therefore we can establish the equation:
5 : x = 1.5 : 8
5 / x = 1.5 / 8
Solving for x:
x = 5 * 8 / 1.5
x = 40 / 1.5
<span>x = 26.67 ft</span>
