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Ymorist [56]
3 years ago
6

16. If mZ3 = 74°, find each measure.

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

1 - 74

2- 106

3- 74

4- 106

5- 106

6- 74

7- 106

8- 74

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In an exam, there is a problem that 60% of students know the correct answer. However, thereis 15% chance that a student picked t
SpyIntel [72]

Answer:

0.231

Step-by-step explanation:

Let the Probability of students that knew the correct answer be: P(A)

P(A) = 60% = 0.6

Let the Probability that the student picked the wrong answer even if he/she knows the right answer be: P(B)

P(B) = 15% =0.15

Let the Probability of the student that do not knew the correct answer Be P(C)

P(C) = 1 - P(A)

P(C) = 1 - 0.6

P(C) = 0.4

Let the Probability that the student does not know the right answer but guessed it correctly be: P(D)

P(D) = 25% = 0.25

Let the Probability that the student picked the right answer even if he/she knows the right answer be: P(E)

P(E) = 1 - P(B)

P(E) = 1 - 0.15

P(E) = 0.85

Probability that the student got the answer wrong = (0.60 X 0.15) + (0.40 X 0.75) = 0.39      

P( Student knew answer given he answered wrong) = \frac{P(Student knew answer) X P(Student answered wrong given he knew the answer}{0.39}

=\frac{0.6*0.15}{0.39}

=\frac{0.09}{0.39}

= 0.23076923077

= 0.231

6 0
3 years ago
What is the value of the expression -38-16-(-23)?<br> O-31<br> O-45<br> O-54<br> O-77
ohaa [14]

Answer:

-31

Step-by-step explanation:

-38-16-(-23) \\ \\ =-38-16+23 \\ \\ =-54+23 \\ \\ =-31

3 0
1 year ago
The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
How to do the problem I don't get it
DaniilM [7]
5 days * $125 daily fee + $??.?? Deposit = $700

5*125+x=700
 625+x=700
      x=75

$75 Deposit

I'm not sure what "the rate of change" is

sorry but i hope i helped


ΩΩΩΩΩΩΩΩΩΩ

5 0
3 years ago
Find de product of 15 and 107
Andru [333]

Answer:

15 \times 107 = 1605

6 0
3 years ago
Read 2 more answers
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