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Elden [556K]
3 years ago
7

What is the solution set in the open sentence with the given replacement set?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

in  this set null set

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An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

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

\dfrac{50}{100} =0.5

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

\dfrac{8+10+14}{100}=0.32

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

0.5\cdot 0.5=0.25

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

1-0.25=0.75

3 0
3 years ago
Find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)
RUDIKE [14]

Answer:

(4,3)

Step-by-step explanation:

To find the midpoint add the end points and divide by 2

P(2,5)    S ( sx, sy)  and the midpoint is and H (3,4)

X coordinate

( 2+ sx) /2 = 3

Multiply each side by 2

2+sx = 3*2

2+sx = 6

Subtract 2

sx = 4

Y coordinate

( 5+ sy) /2 = 4

Multiply each side by 2

5+sy = 4*2

5+sy = 8

Subtract 5

sy = 3

The end point is

(4,3)

8 0
2 years ago
Read 2 more answers
What is the constant term of 4x-2y+3
Alex787 [66]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
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Number 12 find x....
Len [333]

Answer:

B= 13

Step-by-step explanation:

10x-5= 180-(4x+3)

10x-5=180-4x-3

10x-5+3=180-4x

14x-2=180

14x= 180+2

14x= 182

x=182/14

x=13

7 0
2 years ago
Find the value of x in the figure
MA_775_DIABLO [31]

Answer:

x = 100

Step-by-step explanation:

57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \:  \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\  \huge \red{ \boxed{x = 100}}

6 0
3 years ago
Read 2 more answers
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