Answer:
Possibility that the students selected are both girls = 31.25%
Step-by-step explanation:
It is given that
A science class have 5 girls and 3 boys in 7th grade
And 2 girls and 2 boys in the 8th grade
In 7th grade total students = 8
In 8th grade total students = 4
Total possibilities = 8 x 4 = 32
The teacher randomly selects a 7th grade and an 8th grade
The number ways a girl selected from 7th grade = 5c1 = 5
The number ways a girl selected from 8th grade = 2c1 = 2
Total possibilities = 5 x 2 = 10
Probability that the students selected are both girls =10 /32 = 31.25%
Answer:
Domain is
{
x
∈
R
;
x
≠
−
5
}
Range is
{
y
∈
R
;
y
≠
0
}
Step-by-step explanation:
Explanation:
Domain: Denominator should not be
0
∴
x
+
5
≠
0
or
x
≠
−
5
Domain is any real value except
x
=
−
5
or
{
x
∈
R
;
x
≠
−
5
}
Range is any real value except
y
=
0
or
{
y
∈
R
;
y
≠
0
}
graph{1/(x+5) [-10, 10, -5, 5]}
You start order of operations (PEMDAS)
You multiple left to right and lastly subtract.
12-2=10
Answer:
-7/25
Step-by-step explanation:
is in quadrant two given that is between 90 degrees and 180 degrees.
This means cosine value there is negative and sine value is positive.
Let's use the Pythagorean Identity: .
Subtract 576/625 on both sides:
Take the square root of both sides:
So recall that the cosine value here is negative due to the quadrant we are in.
Check:
So we got the desired result since the right hand side of our Pythagorean Identity is 1.