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3 years ago

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A class consists of 17 men and 14 women. An exam is given andstudents are ranked according to their performance. Assume notwo st

udents obtain the same score. If all rankings are consideredequally likely, what is the probability that women receive the top4 scores?

1 answer:

notsponge [240]3 years ago

5 0

Answer:

3.18%

Step-by-step explanation:

(14/31) X (13/30)X (12/29) X (11/28) = 0.0318 = 3.18%

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Step-by-step explanation:

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2 years ago

What is 10 times 10. ?

Slav-nsk [51]

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Step-by-step explanation:

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3 years ago

A rectangular prism has a base of 144 square inches and a height of six inches then the volume is?

a_sh-v [17]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the volume of a rectangular prism, the formula is base * height:

Base:144

Height:6

Multiply:

144*6=864

Final answer:

864 cubic inches

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TROLLER

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3 years ago

Solve the following system of linear equations: 3x1+6x2+6x3 = -9 -2x1–3x2-3x3 = 3 If the system has infinitely many solutions, y

choli [55]

Answer:

The set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

Step-by-step explanation:

The augmented matrix of the system is $\left[\begin{array}{ccccc}3&6&6&-9\\-2&-3&-3&3\end{array}\right]$ .

We will use rows operations for find the echelon form of the matrix.

In row 2 we subtract $\frac{2}{3}$ from row 1. (R2- 2/3R1) and we obtain the matrix $\left[\begin{array}{cccc}3&6&6&-9\\0&1&1&-7\end{array}\right]$
We multiply the row 1 by $\frac{1}{3}$ .

Now we solve for the unknown variables:

$x_2+x_3=-7$ , $x_2=-7-x_3$
$x_1+2x_2+2x_3=-2$ , $x_1+2(-7-x_3)+2x_3=-2$ then $x_1=12$

The system has a free variable, the the system has infinite solutions and the set of solutions is $\{\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}12\\-7-r\\r\end{array}\right]: \text{r is a real number} \}$

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2 years ago