Select the correct answer.

A number cube is rolled and a coin is flipped. Let H stand for heads and T for tails. What is the sample space for the experimen

tigry1 [53]

Answer: S={(1,H) , (1,T) , (2,H) , (2,T) , (3,H) , (3,T) , (4,H) , (4,T) , (5,H) , (5,T) , (6,H) , (6,T)}

Step-by-step explanation:

Given: A number cube is rolled and a coin is flipped.

Let H stand for heads and T for tails.

Then the sample space will contain pairs in which the first one shows the number on dice and the second one shows the the outcome for coin after dice is thrown.

Now, the required sample space will be

S={(1,H) , (1,T) , (2,H) , (2,T) , (3,H) , (3,T) , (4,H) , (4,T) , (5,H) , (5,T) , (6,H) , (6,T)}

4 0

3 years ago

What is the value of n?<br><br> 40= -5n/8<br><br> n=________

vodka [1.7K]

40 = -5 × $\frac{n}{8}$

First, simplify 5 × $\frac{n}{8}$ to $\frac{5n}{8}$ / Your problem should look like: 40 = $-\frac{5n}{8}$
Second, multiply both sides by 8. / Your problem should look like: 320 = -5n
Third, divide both sides by -5. / Your problem should look like: $\frac{320}{-5}$ = n
Fourth, simplify $\frac{320}{-5}$ to $- \frac{320}{5}$ / Your problem should look like: $-\frac{320}{5}$ = n
Fifth, simplify $\frac{320}{5}$ to 64. / Your problem should look like: -64 = n
Sixth, switch sides. / Your problem should look like: n = -64

Answer: n = -64

7 0

3 years ago

Read 2 more answers

The volume of a rectangular prism is 420 cubic centimeters. The length, L, is 6 centimeters and the width, W, is 14 centimeters.

Harman [31]

Answer:

5 centimeters

Step-by-step explanation:

We know the equation to find volume is V = B x h, where B is the base of the prism. (It is also known as the simple V = l x w x h.)

No matter what equation you use, you will end up with V = l x w x h, since the base of a rectangular prism is length x width. So, we're going to plug in our known information to get 420 = 6 x 14 x h.

Then, we're going to multiply 6 x 14 to get 84. Now we have 420 = 84 x h. To isolate the h (in order to find what it is), we must divide both sides by 84.

420/84 = 5, so whats left of the equation is 5 = h, meaning your height is 5 centimeters.

4 0

4 years ago

In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.

stepladder [879]

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = $\frac{180-84}{2}$ = $\frac{96}{2}$ = 48°

3 0

3 years ago

What is the perimeter of vex v(-5,2) e(-11,-1) and x(-3,-1)

pantera1 [17]

Answer:

we did this yesturday in class and this what I did and got it right

Step-by-step explanation:

4 0

4 years ago