Answer:
A. 0.5
B. 0.32
C. 0.75
Step-by-step explanation:
There are
- 28 students in the Spanish class,
- 26 in the French class,
- 16 in the German class,
- 12 students that are in both Spanish and French,
- 4 that are in both Spanish and German,
- 6 that are in both French and German,
- 2 students taking all 3 classes.
So,
- 2 students taking all 3 classes,
- 6 - 2 = 4 students are in French and German, bu are not in Spanish,
- 4 - 2 = 2 students are in Spanish and German, but are not in French,
- 12 - 2 = 10 students are in Spanish and French but are not in German,
- 16 - 2 - 4 - 2 = 8 students are only in German,
- 26 - 2 - 4 - 10 = 10 students are only in French,
- 28 - 2 - 2 - 10 = 14 students are only in Spanish.
In total, there are
2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.
The classes are open to any of the 100 students in the school, so
100 - 50 = 50 students are not in any of the languages classes.
A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

B. If a student is chosen randomly, the probability that he or she is taking exactly one language class is

C. If 2 students are chosen randomly, the probability that both are not taking any language classes is

So, the probability that at least 1 is taking a language class is

Answer:
12.
Square root = 37,
Step-by-step explanation:
40^2 = 1600
35^2 = 30 * 40 + 25 = 1225
So the requred square is between 35 and 40
38^2 = 1444
37^2 = 1369 - so its this one.
Required difference = 1381 - 1369 = 12.
Answer:
Y= x-7
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
x = 2y - 4 --- Equation 1
7x + 5y = -66 --- Equation 2
I will be using the substitution method to solve this.
Substitute x = 2y - 4 into Equation 2:
7x + 5y = -66
7(2y - 4) + 5y = -66
Evaluate.
14y - 28 + 5y = -66
Evaluate like terms.
19y - 28 = -66
Isolate 19y.
19y = -66 + 28
= -38
Find y.
y = -38 ÷ 19
y = -2 --- Equation 3
Substitute y = -2 into Equation 1:
x = 2y - 4
x = 2(-2) - 4
Evaluate.
x = -4 - 4
x = -8