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Softa [21]
2 years ago
7

An instructor wants to compare final grades of students in her online class and face-to-face class. Instructor selects 10 studen

ts randomly from each class and the following table shows the final grades of those students.
5.5
7
6
7
6.5
6
9
6.5
6.5
6.5

The 81st percentile of time students sleep per night is ______hours.
Mathematics
1 answer:
LiRa [457]2 years ago
8 0

Answer:

7 hours

Step-by-step explanation:

The formular of percentile is given as;

n = (P / 100) * N

where;

n = ordinal rank

P = Percentile

N = Number of values

The grades are given as;

5.5,  7,  6,  7, 6.5,  6,  9 , 6.5,  6.5 , 6.5

Arranging in increasing order;

5.5, 6, 6, 6.5, 6.5, 6.5, 6.5, 7, 7, 9

n = (81/100) * 10 = 8.1 ≈ 8

The 81st percentile is the 8th term.

The 8th term = 7

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elena-14-01-66 [18.8K]

Answer:

9. m(YZ) = 102°

10. m(JKL) = 192°

11. m<GHF = 75°

Step-by-step explanation:

9. First, find the value of x

4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)

Collect like terms

4x - 3x = -3 + 15

x = 12

4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

4(12) + 3 = ½(m(YZ))

48 + 3 = ½(m(YZ))

51 = ½(m(YZ))

Multiply both sides by 2

51*2 = m(YZ)

102 = m(YZ)

m(YZ) = 102°

10. First, find the value of x.

7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)

Add like terms

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

7(13) + 5 = ½(m(JKL))

96 = ½(m(JKL))

Multiply both sides by 2

2*96 = m(JKL)

m(JKL) = 192°

11. First, find x.

5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Multiply both sides by 2

2(5x + 15) = 11x + 18

10x + 30 = 11x + 18

Collect like terms

10x - 11x = -30 + 18

-x = -12

Divide both sides by -1

x = 12

m<GHF = 5x + 15

Plug in the value of x

m<GHF = 5(12) + 15

m<GHF = 60 + 15

m<GHF = 75°

4 0
2 years ago
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irinina [24]

Answer:

I believe the answer is 250. I hope this helps Bye!

6 0
2 years ago
4n + 1= 25 how do I solve this and show my work?​
Ipatiy [6.2K]

Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

6 0
2 years ago
Read 2 more answers
What times what makes 23
TiliK225 [7]
8 times 3 equals 23 and that is one of the answers



5 0
3 years ago
A deck of cards has a 5 pink, 2 gray, And 6 black cards. You pick two cards from the deck without replacement. What is the proba
Dahasolnce [82]

Answer:

<u>The probability that the first card is gray and the second card is pink= 5/78</u>

Step-by-step explanation:

A deck of cards has a 5 pink, 2 gray, And 6 black cards.

The total cards = 5 + 2 + 6 = 13

You pick two cards from the deck without replacement.

The probability that the first card is gray = 2/13

The remaining cards = 13 - 1 = 12

The probability that the second card is pink = 5/12

So,

The probability that the first card is gray and the second card is pink =

  = 2/13 * 5/12 = 10/156 = 5/78

8 0
2 years ago
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