Evaluate the expression.
P(8,1)

Answer:

The probability of getting a sum less than or equal to 4 ​is 1/6.

Step-by-step explanation:

When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.

When two dices are rolled, the number of sample space elements is:

[tex]n(S) = 36[/tex]

Let A be the event that the sum of outcomes is less than or equal to 4:

[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]

That implies

[tex]n(A) = 6[/tex]

The probability of getting sum less than or equal to 4 will be:

[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]

Hence,

The probability of getting a sum less than or equal to 4 ​is 1/6

The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".

The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.

Let,

The event that the sum less than as well as equivalent to 4 be "A".

According to the question,

Whenever the 2 dices are rolled, the no. of outcomes will be:

= 6 × 6

= 36

and,

The no. of sample elements will be:

n(S) = 36

Now,

A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}

The probability be:

→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]

           = [tex]\frac{6}{36}[/tex]

           = [tex]\frac{1}{6}[/tex]

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

Answer:

y = 2

Step-by-step explanation:

For the equation x - y = -1, if x = 1,

then we would plug that in to solve for the y value

1 - y = -1

Subtract 1 from both sides to find y

-y = - 2

Divide by -1 to find y

y = 2.

To double check our answer we would plug in our x-value and y-value into the equation

1 - 2 = -1

This is true, so our answer is y = 2

Answer:

y = 2

Step-by-step explanation:

x - y = -1

1 - y = -1

1 + 1 - y = 0

2 - y = 0

2 = y

y = 2

Answer:

sorry, i haven't understood your question!! how can i tell which statement is false.

Answer:

Step-by-step explanation:

0

,

8

Answer:

An equation looks something like this: 4x2=8

In an equation each value on the opposite side of the equal sign is equal unless its unsolved and u need to solve it.

In an inequality, a <, >,  ≥ or ≤ separates 2 values that are unequal. < is a less than sign, > is a greater than sign and so on and so forth. An inequality gives all possible answers for an equation. For example 3x+2≤ 8 is showing us that 3x+2 is any value below or equal to 8. ≤ is a less than OR equal too sign.

in the equation 4x-5≤15 the inequality is showing us that 4x-5 is every possible value below or equal to 20. So an answer could be 19, 18, -5, 7 and basically every number below or equal to 20.

Step-by-step explanation:

75d + 30c ≥ 255

(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.

(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.

Answer:

3.75

Step-by-step explanation:

Step-by-step explanation:

its ratio so it has to be A

Answer:

$175

Step-by-step explanation:

Answer:

k=-98

b=-7

Step-by-step explanation:

can i have brianliest :)

Answer:

its 40

Step-by-step explanation:

You've already divided 320 and 8 and you get 40

Answer:

52

Step-by-step explanation:

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

-3x + 10y = 11

-8x + 2y = -20

Step 2: Rewrite systems

-8x + 2y = -20

Step 3: Redefine systems

-3x + 10y = 11

y = 4x - 10

Step 4: Solve for x

Substitution

Step 5: Solve for y

Step 6: Graph system

Check the system.

Answer:

Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.

Applying the formula to question:

800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)

Answer:

The dependent variable is the hour.

Answer:

y = 3/5x + 3

Step-by-step explanation:

(y2-y1)/(x2-x1) = slope

pick 2 points (0,3) and (-5,0)

(0-3)/(-5-0) = -3/-5 = 3/5

y = 3/5x + b

3 = 3/5(0) + b, b = 3

equation y = 3/5x + 3

Answer:

1 .

because sqare root of -1= 1

Answer:

we conclude that the only option (a) is true.

Step-by-step explanation:

As we know that the multiples of 5 are the numbers which we get when we multiply by 5.

i.e.

5×1=5

5×2=10

Here, 5 and 10 are multiples of 5.

Let p and q are integers that are multiples of 5.

Let us consider

p=5

q=10

so

p+q=5+10

     = 15

A number is divisible by 5 if it ends in 5 or 0.

i.e. 15/5 = 3

so p+q is divisible by 3 as there is no remainder left.

Therefore, option (a) is true.

Checking the other options:

(b) P –q is divisible by 10

As

p=5

q=10

so

p-q=5-10

     = -5

Numbers that are divisible by 10 need to be even or divisible by 2 and divisible by 5.

As -5 is not divisible by 2.

So, option b is NOT true.

(c) P +q is divisible by 20

As

p=5

q=10

so

p-q=5+10

     = 15

Divisibility rule of  20  implies that the last two digits of the number are either  00  or divisible by  20 .

Therefore, P + q= 20 is not divisible by 20 as we don't get the whole number.

(d) P + q is divisible by 25​

As

p=5

q=10

so

p-q=5+10

     = 15

p+q=15 is not divisible by 25 as it does not end with 00, 25, 50, or 75.

so, option d is NOT correct.

Therefore, we conclude that the only option (a) is true.

Answer:

Area = 81; Side Length = 3

Step-by-step explanation:

The area of a square is the side lenght squared, and 9² is 81.

The side lengh can be found by taking the square root of the area. √9 = 3

Answer: 7 1/2 miles mire

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3x2x2 or make a tree diagram

Step-by-step explanation:

(i) 12 months × fixed salary

= 12 × 3140

= 37680 $

(ii) commission = total × 2%

= 720000 × 0.02

= 14400 $

(iii) fixed salary + commission

= 37680 + 14400 = 52080 $

Answer:

1/16

Step-by-step explanation:

The probability of getting heads with 1 coin toss is 1/2.

For 4 tosses, the probability is 1/2 * 1/2 * 1/2 * 1/2 = 1/16

Answer:

Domain: (-∞, ∞)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According the the graph, we see that our x-values are spanning forever in both directions. Therefore our domain is:

(-∞, ∞) or -∞ < x < ∞

Answer:

a

Step-by-step explanation:

aa

Answer:

1. slope: (y2-y1)/(x2-x1)

(6,38), (9,32)

(32-38)/(9-6) = -6/3 = -2

38 = -2(6) + b

38 = -12 +b, b = 50

y = -2x + 50

2a. Slope = -80, the slope means how many cars left per hour after closing. Y- intercept = 600, cars in lot during closing.

2b. use the equation: y = -80x + 600

Plug in 3 into the equation

y = -80(3) + 600, y = -240 + 600, y = 360 cars

2c. For it to have 0 cars, plug in 0 for y

0 = -80x + 600

-600 = -80x, solve for x

x = 7.5 hours

9514 1404 393

Answer:

  C.  distance formula

Step-by-step explanation:

If you're starting from vertex coordinates, the distance formula is appropriate for finding the length of one side of a parallelogram. It will tell you the distance between two points:

  d = √((x2-x1)² +(y2-y1)²)