Answer:
0.01863, yes preference
Step-by-step explanation:
given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class and says that the five students are being selected at random
Here selecting any 5 students from the group of total 24 students is combination because order does not matter.
Total no of ways of selecting any 5 from total 24 = 
No of ways of selecting only 5 girls = No of ways of selecting random 5 girls from total 12 girls
= 
a) the probability be that all five students
selected are girls=
b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random. Hence the teacher had a preference for girls.
10+6x=4x-4
6x-4x=-4-10
2x=-14
x-7
10=6(-7)=-32
4(-7)-4=-32
=-32
Answer:
Step-by-step explanation:
We are given that 
is in <em>fourth</em> quadrant.
is always positive in 4th quadrant and
is always negative in 4th quadrant.
Also, we know the following identity about 
and 
:
Using \theta_1 in place of \theta:
We are given that 
is in <em>4th quadrant </em>so is negative.
So, value of
29. 1.08+.89+.89=2.86 they need 3 dollars
30.they need $3.34
31.each greeting card cost 35 cents
32. she does have enough money because it the total for 3 gift wraps is $5.55 which is less than $6
Answer:
Step-by-step explanation:
1. There will be 9 roses in total.
Probability Orange: 2/9
Probability Yellow: 3/9 = ⅓
Probability Pink: 4/9
2. 4/7 as there are 7 bowls in total and 4 are chocolate.
3. 4/10 = ⅖ (simplified) There are 10 fruits in total and 4 are apples.
4. 5/15 = ⅓ (simplified) There are 15 cars in total and 5 or them are cooper minis.
5. 2/6 = ⅓ (simplified) There are 6 textbooks and 2 of them are math.
6. 13/20 There are 20 drinks and 13 of them are lemonade.
7. There are 10 toys in total.
Probability toy cars: 3/10
Probability dolls: 2/10 = ⅕ (simplified)
Probability balls: 5/10 = ½ (simplified)
8. In total the number of red roses and lilies are 7. There are 10 flowers in total so the number of jasmines are 3. Therefore the probability of getting a jasmine is 3/10
9. 20/50 = ⅖ (simplified) There are 50 papers in total and 20 of them are yellow.
10. 8/18 = 4/9 (simplified) There are 18 buses and 8 of them are air conditioned.
