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leonid [27]
1 year ago
3

21% of the students had a score of 80/100 or higher on both midterms. 25% had a score of 80/100 or higher on midterm 1. what per

centage of the students who had score of 80/100 or higher on midterm 1 had a score of 80/100 or higher on midterm 2
Mathematics
1 answer:
Delvig [45]1 year ago
7 0
Let event A = high score on midterm1.
Let event B = high score on midterm2.

You want P(B|A).
  P(B|A) = P(B&A)/P(A)
  P(B|A) = 0.21/0.25
  P(B|A) = 84%

84% of students who had a high score on midterm1 had a high score on midterm 2.
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Multiply 325 and 5. Then divide 1500 and that answer! I will let you do the work
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2 years ago
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Which system of linear inequalities is represented by the graph?
azamat

Answer:

The system of linear inequalities represented by the graph is:

y > (2/3) x + 3 and y <= - (1/3) x + 2

Step-by-step explanation:

In the graph we can see the region on and below the red line, and above the black dashed line.

1) The red line goes through the points:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(3,1)=(x2,y2)→x2=3, y2=1

The slope of this line is:

s=(y2-y1)/(x2-x1)

Replacing the known values:

s=(1-2)/(3-0)

s=(-1)/(3)

s=-(1/3)

The equation of the red line is:

y-y1=s(x-x1)

y-2=-(1/3)(x-0)

y-2=-(1/3)x

y-2+2=-(1/3)x+2

y=-(1/3)x+2

The area on and below the red line is: y<=-(1/3)x+2

2) The black dashed line goes through the points:

P1=(-3,1)=(x1,y1)→x1=-3, y1=1

P2=(0,3)=(x2,y2)→x2=0, y2=3

The slope of this line is:

s=(y2-y1)/(x2-x1)

Replacing the known values:

s=(3-1)/(0-(-3))

s=(2)/(0+3)

s=(2)/(3)

s=(2/3)

The equation of the red line is:

y-y2=s(x-x2)

y-3=(2/3)(x-0)

y-3=(2/3)x

y-3+3=(2/3)x+3

y=(2/3)x+3

The area above the black dashed line is: y>(2/3)x+3

Then, the system of linear inequalities represented by the graph is:

y>(2/3)x+3 and y<=-(1/3)x+2

6 0
1 year ago
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Simplify the expression -(2m+3)+5m
astra-53 [7]

Answer:

3m-3

Step-by-step explanation:

So we have the expression:

-(2m+3)+5m\\

Distribute the negative:

=-2m-3+5m

Combine like terms:

=3m-3

And we're done!

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finlep [7]
Prime factorization of 1728 is 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
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8 0
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X - 4= 7 <br><br> options-<br> x + 8=0 <br> x-11=0<br> x+11=0<br> x-8=0
miss Akunina [59]

Answer:

x+11=0 is answer

Step-by-step explanation:

may be this is helpful!

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1 year ago
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