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2 years ago

Would a compound event involving a standard number cube and a spinner be dependent or independent?

1 answer:

6 0

Since the result of the number cube and the result of the spinner do not effect each other, the events are independent.

<h3>What are dependent and independent events?</h3>

When one trial affects the next trial, the events are called dependent. One example is taken a card without replacement from a standard deck, as in each trial, the number of cards remaining decreases, hence the probabilities are affected.

When there is no effect of one trial on another, the events are called independent.

In this problem, the result of the number cube does not affect the result of the spinner, as they are rolled separately, hence the events are independent.

More can be learned about independent events at brainly.com/question/14478923

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There were 718 tickets purchased for a major league baseball game. The lower reserved tickets cost $9.50 and the upper reserved

DaniilM [7]

Let
L=number of lower tickets sold
U=number of upper tickets sold

then
U=718-L...........(1)
and
9.50L + 8U=6249.50 ..........(2)
Substitute (1) in (2)
9.50L+8(718-L)=6249.50
isolate L and solve
1.5L=6249.50-8*718=505.5
L=505.5/1.5=337
U=718-L=381

6 0

4 years ago

Graph y= -2x+7. Help please

musickatia [10]

Answer:

There you go fam, That website is really useful btw, you should use it, if u want ill give you the link, just comment

Step-by-step explanation:

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3 years ago

Solve the following equations: 2(3x–1)=9(x–2)–7

Artist 52 [7]

Answer:

23/3 or 7 2/3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If the cost of an item increased by a percentage and decreased by the same percentage, what would that percentage be if the new

Orlov [11]

The percentage, if the new cost was 84% of the original is 40%

Let the cost of the item be x.

When the price increased by y%, the new price is:

$New =x \times (1 + y\%)$

When the price decreased by the same percentage (i.e. y%), the new price is:

$New =x \times (1 + y\%) \times (1 - y\%)$

The cost is said to be 84% of the original price.

So, we have:

$x \times (1 + y\%) \times (1 - y\%) =84\% \times x$

Divide both sides by x

$(1 + y\%) \times (1 - y\%) =84\%$

Apply the difference of two squares

$1 - (y\%)^2 =84\% \\\\$

Subtract 1 from both sides of the equation

$- (y\%)^2 =-16\%$

Cancel out the common factors

$(y\%)^2 =16\%$

Take the square root of both sides

$y\% =0.4$

Multiply both sides by 100

$y =40$

Hence, the percentage is 40%

Read more about percentage change at:

brainly.com/question/809966

8 0

3 years ago

The number 35 has the property that when its digits are both increased by 2, and

seropon [69]

Answer: The sum is 127

Step-by-step explanation:

A 2-digit number N = ab can be written as (where a and b are single-digit numbers)

a*10 + b.

Now, we want that:

(a + 2)*(b + 2) = a*10 + b.

So we must find all the solutions to that equation such that a can not be zero (if a = 0, then the number is not a 2-digit number)

We have:

(a + 2)*(b + 2) = a*b + 2*a + 2*b + 4 = a*10 + b

a*b + 2*b - b + 4 = a*10 - a*2

a*b + 4 + b = a*8

a*b + 4 + b - a*8 = 0.

Now we can give one of the variables different values, and see if the equation has solutions:

>a = 1:

1*b + 4 + b - 8 = 0

2*b - 4 = 0

b = 4/2 = 2

Then the number 12 has the property.

> if a = 2:

2*b + 4 + b -16 = 0

3b -12 = 0

b = 12/3 = 4

The number 24 has the property.

>a = 3 is already known, here the solution is 35.

>a = 4.

4*b + 4 + b - 8*4 = 0

5*b + 4 - 32 = 0

5*b = 28

b = 28/5

this is not an integer, so here we do not have a solution.

>if a = 5.

5*b + 4 + b - 8*5 = 0

6b + 4 - 40 = 0

6b - 36 = 0

b = 36/6 = 6

So the number 56 also has the property.

>if a = 6

6*b + 4 + b - 8*6 = 0

7b + 4 - 48 = 0

7b - 44 = 0

b = 44/7 this is not an integer, so here we do not have any solution.

>if a = 7

7*b + 4 + b -8*7 = 0

8b -52 = 0

b = 52/8 = 6.5 this is not an integer, so we here do not have a solution.

>if a = 8

8*b + 4 + b -8*8 = 0

9*b + 4 - 64 = 0

9*b = 60

b = 60/9 this is not an integer, so we here do not have any solution:

>if a = 9

9*b + 4 + b - 8*9 = 0

10b + 4 - 72 = 0

10b -68 = 0

b = 68/10 again, this is not an integer.

So the numbers with the property are:

12, 24, 35 and 56

And the sum is:

12 + 24 + 35 + 56 = 127

8 0

3 years ago

Would a compound event involving a standard number cube and a spinner be dependent or independent?​

Would a compound event involving a standard number cube and a spinner be dependent or independent?