When is the sum of two integers a negative number

Roll a number cube. If the number cube comes up odd, you win the same number of points as the number on the cube. If the number

laila [671]

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

5 0

3 years ago

Read 2 more answers

Can someone put an example of how to do bearings for precal?

Reika [66]

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.

4 0

2 years ago

Need help step by step

shusha [124]

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

3 0

2 years ago

A classroom is 20 feet long. The office is 82% longer than the classroom. How long is the office?

enyata [817]

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

⇒ $\frac{82}{100} \times 20 = 16.4$

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

4 0

2 years ago

Avani wrote the linear equation y = 5 x + 4. Then, she wrote the equation of the line that is perpendicular to y = 5 x + 4 and t

Margarita [4]

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 $y-\frac{1}{5}x+b$ , what is the value of b?

$\bf y=mx+b$

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: