There are 10 students in a class:7 boys and 3 girls. If the teacher picks a group of 4 at random what is the probability that everyone in the group is a boy

Step-by-step explanation:

Probability the first pick is a girl: 7/10

Probability the second pick is a girl: 6/9

Probability the third pick is a girl: 5/8

Probability of picking 3 girls:

7/10 * 6/9 * 5/8 =

= (7 * 6 * 5)/(10 * 9 * 8)

= (7 * 1 * 1)/(2 * 3 * 4)

=7/24

Approximately 0.29 = 29%

1/6

Step-by-step explanation:

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7

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.