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creativ13 [48]
3 years ago
14

Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0
A. 1/10000 because it is a 1/100 chance for each. 
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer. 
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Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C
natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

x- y - z = -6  \\ \\ 2y + z = -6 \\ \\  3x -8 y = - \dfrac{1}{2}

The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z =  - 5

Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

5 0
3 years ago
1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?​
Fiesta28 [93]

Answer:

y = 5

Step-by-step explanation:

    x \ \alpha \  y

=> x = k \times y\\=> 35 = k \times 7\\=> k = 5

    x = k \times y

=>25 = 5 \times y\\ =>5 = y

8 0
3 years ago
Read 2 more answers
Please help Cassie uses 1 quart cranberry juice., 1/2 gallon ginger ale, and 1 1/2 pints orange juice to make fruit punch. How m
marta [7]
2 quarts in 1/2 a gallon
2 pints in a quart
1 pint is 16 ounces
7 1/2 pints total
7 1/2 * 16 = 120 ounces
120/ 6= 20 6 ounce servings
5 0
3 years ago
What is (2n+2n)-(3n-4n)
Yakvenalex [24]

Answer:

2n^{2} +2n

INSERT

Step-by-step explanation:first you want to move the negative which is negative 1 into the set of parenthesis and then Foil the two parenthesis together and the combine like terms

7 0
3 years ago
Find m<br> A. 46<br> B. 23<br> C. 69<br> D. 167
Step2247 [10]

Answer:

69, nice

Step-by-step explanation:

118-49=69

3 0
3 years ago
Read 2 more answers
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