19. √12 rational ir iraational

____ [38]

Answer:

$\frac{9}{14} \ chance$

Step-by-step explanation:

1. Approach

Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, $\frac{desired\ outcomes}{total\ outcomes}$ .

It is given that

- (63) paid with cash

- (22) paid with a debit card

- (13) paid with a credit card

First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.

2. Find the total number of customers

Add up all of the given customers, regardless of their payment type.;

$(cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98$

(98) total customers.

3. Find the probability

Now set up the probability, remember, the formula for finding the probability is,

$\frac{desired\ outcomes}{total\ outcomes}$

The desired outcome is the number of customers who pay with cash = (63)

The total outcome is the number of customers who when to the business; (98)

Substitute in the numbers and simplify,

$\frac{desired\ outcomes}{total\ outcomes}$

$\frac{63}{98}$

Both of these numbers are divisible by (7), hence divide the fraction by (7)

$\frac{9}{14}$

5 0

3 years ago

Simplify the following expression: 3[(x^3– 7 x + 1) – (x+ 4)]

Alona [7]

Answer:

15 - 9

Step-by-step explanation:

3[( 3x - 7x plus 1) - (x plus 4)]

3[(-4x plus 1) - x-4

3[-4x plus 1 -x-4

3[-4x-x plus 1-4]

3[fivex -3]

fifteen x - 9

5 0

3 years ago

999^2-998^2 Explain w/ steps. Thank you

Kisachek [45]

Answer:

1997

Step-by-step explanation:

999^2 = 999 x 999 = 998,001

998 ^ 2 = 998 x 998 = 996,004

998,001 - 996, 004 = 1997

Hope this helps

:)

4 0

4 years ago

Read 2 more answers

Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the

Troyanec [42]

Answer:

The coordinates of the vertices of the reflected figure are :

R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6) ⇒ the right answer is (d)

Step-by-step explanation:

* When you reflect a point across the line y = x, the x-coordinate

and y-coordinate change their places.

- If the point is (x , y) then its image is (y , x)

* If you reflect over the line y = -x, the x-coordinate and y-coordinate

change their places and their signs

- If the point is (x , y) then its image is (-y , -x)

* Lets study the matrix of the reflection about the line y = x

- The matrix of the reflection about the line y = x is

$\left[\begin{array}{cc}0&1\\1&0\end{array}\right]$

- Because the x-coordinate and y-coordinate change places.

* Now lets solve the problem

- We will multiply the matrix of the reflection about y = x

by each point to find the image of each point

- The dimension of the matrix of the reflection about y = x

is 2×2 and the dimension of the matrix of each point is 2×1,

then the dimension of the matrix of each image is 2×1

∵ The point R is (-2 , 5)

∴ $R'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{cc}-2\\5\end{array}\right]=$

$\left[\begin{array}{c}(0)(-2)+(1)(5)\\(1)(-2)+(0)(5)\end{array}\right]=\left[\begin{array}{c}5\\-2\end{array}\right]$

∴ R' is (5 , -2)

∵ The point S is (5 , 3)

∴ $S'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}5\\3\end{array}\right]=$

$\left[\begin{array}{c}(0)(5)+(1)(3)\\(1)(5)+(0)(3)\end{array}\right]=\left[\begin{array}{c}3\\5\end{array}\right]$

∴ S' is (3 , 5)

∵ The point T is (6 , -7)

∴ $T'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}6\\-7\end{array}\right]=$

$\left[\begin{array}{c}(0)(6)+(1)(-7)\\(1)(6)+(0)(-7)\end{array}\right]=\left[\begin{array}{c}-7\\6\end{array}\right]$

∴ T' is (-7 , 6)

* Lets look to the figures to find the right answer

∵ The R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6)

∴ The right answer is (d)

4 0

3 years ago

How do you compare 77,392 67,993

S_A_V [24]

Answer: 77,392 is bigger

Step-by-step explanation:

We obviously know 77,000 is bigger 67,000. Just looking at the thousands place we can tell which number is bigger. We can also write this as 77,392 > 67,993.

Hope this helps :)

3 0

3 years ago