Answer:
Total number of outcomes = 23
number of biology and art students = 2
number of biology students = 2
Since it is given that all the students study art,
number of possible outcomes = 2
probability = number of favorable outcomes/number of total outcomes.
= 2/23
Therefore probability that the selected student studies both art and biology is 2/23.
Answer:
y = - 9
Step-by-step explanation:
Substitute in -1 for x
8(-1) - 2y = 10
-8 - 2y = 10
Subtract -8 from both sides
-8 - (-8) cancels out to 0
10 - (-8) = 18
We are left with:
-2y = 18
Divide by -2 on both sides.
-2y/-2 = y
18/-2 = -9
y = -9
Answer:
amplitude; 
Phase shift;
units right
Period;
Step-by-step explanation:
The given function is

This function is of the form;

The period is given by:

The period is given by:

The phase shift is given by;
or
units right.
Step-by-step explanation:
y - 5 = 3(x - 1)
y - 5 = 3x - 3
3x - y = -2.
The standard form is 3x - y = -2.