We need the total count of persons = 10+12+12+15 = 49 persons
We need the count of the target group, female or teaching assistants
= (10+12) professors + 12 male teaching assistants
= 22+12
= 34 persons
Assuming equal probability of choosing anyone from the 30 persons, the
probability of choosing a professor or a male
= 34/49
(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020...... = 0.694 approximately)
Answer:x=3 y=1/2
Step-by-step explanation:
x+2y=4
2x-2y=5
Add both equations together
x+2x+2y-2y=4+5
3x+0=9
3x=9
Divide both sides by 3
3x/3=9/3
x=3
Substitute x=3 in x+2y=4
x+2y=4
3+2y=4
Collect like terms
2y=4-3
2y=1
Divide both sides by 2
2y/2=1/2
y=1/2
Answer:
The first store
Step-by-step explanation:
Given data
Let us find the unit cost on each sale
A price for pineapples is $5 for two pineapples
Unit cost per pineapple
=5/2
=$2.5 per pineapple
price for pineapple is $8 for four pineapples
Unit cost
=8/4
=$2 per pineapple
Hence the first store offers the lowest price per pineapple $2.5
Answer:
10(7a +5)
Step-by-step explanation:
The greatest common factor of the two terms is 10. Factoring that out gives ...
10(7a +5)
_____
Other possibilities for meeting the problem requirement are ...
Answer:
t = 4 seconds
Step-by-step explanation:
The height of the projectile after it is launched is given by the function :
t is time in seconds
We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0
So,
The above is a quadratic equation. It can be solved by the formula as follows :
Here, a = -16, b = 32 and c = 128
Neglecting negative value, the projectile will land after 4 seconds.
