Answer:
–0.5
Step-by-step explanation:
Expected value is found by multiplying the probabilities of each roll by the amount won or lost with each roll.
The odd rolls are 1, 3 and 5. The probability of rolling a 1 is 1/6, and the value is 1; this gives us 1/6(1) = 1/6.
The probability of rolling a 3 is 1/6, and the value is 3; this gives us 1/6(3) = 3/6.
The probability of rolling a 5 is 1/6, and the value is 5; this gives us 1/6(5) = 5/6.
Rolling any even number gives us the same value. The probability of rolling an odd number is 3/6, and the value is -4; this gives us 3/6(-4) = -12/6.
Together we have
1/6+3/6+5/6-12/6 = 4/6+5/6-12/6 = 9/6-12/6 = -3/6 = -0.5
Answer:
A bearing is used to represent the direction of one point relative to another point. For example, the bearing of A from B is 065º. The bearing of B from A is 245º.
Y = mx + b
8x - 4y - 9 = 0
first you move the nine to the other side of the equal sign (add nine to both sides)
8x - 4y = 9
then you need to also move your 8x over to the other side as well (remember we are trying to get y by itself!)
- 4y = -8x + 9
then we are going to divide -4 to both sides
and you get
y = 2x - 9/4
we can then identify the slope as 2
so B. 2 would be your answer
hope this helped
Answer:
The length of the office is 36.4 ft
Step-by-step explanation:
The length of the classroom = 20 ft long
The length of the office = 20 ft + 82% of the classroom length
Now, 82 % of classroom length = 82 % of 20 ft
⇒ 
or, 82% of 20 ft = 16.4 ft
⇒The length of the office = 20 ft + 16.4 ft = 36.4 ft
Hence, the length of the office = 36.4 ft
Avani wrote the linear equation y = 5x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5x+ 4 and that passes through (15,–2). If her new equation is in the form
, what is the value of b?

- m is the slope
- b is the y-intercept
The equation of a line that is perpendicular to another line always has the opposite reciprocal slope. In the original equation, the slope is 5. The opposite of 5, which refers to the sign, is -5. The reciprocal of -5 is -1/5. That means the slope of the new line is -1/5.
The perpendicular line:
- Has a slope of

- Passes through the point (15, -2)
To find the equation of a line that passes through a specific point, you need to use slope-intercept form.

- y₁ is the y-value of the point
- m is the slope
- x₁ is the x-value of the point
y₁ is -2, m is -1/5, and x₁ is 15.
Substitute the known values into the equation:

Open the parentheses and distribute:

The new equation will be:

Lastly, you need to move the positive 2 to the other side to keep it in y = mx + b form.

The equation of the perpendicular line is:

The value of b is 1.