The following two-way table describes student's after school activities. Find the probability that a
randomly selected student is in music/drama:
Grado
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Music/Drama) = [?]
Round to the nearest hundredth.
Please HELP MEEE

1/4

Step-by-step explanation:

Firstly, we need to get the total number of students on the table

We have this as;

20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100

Now, we sum up the values we have in the music/Drama column

We have this as;

7 + 13 + 5 = 25

so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number

That would be

25/100 = 1/4

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.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752