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Softa [21]
3 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]3 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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A shed has dimensions of 12m in length and 5 m in width. Both the length and width are increased by the same amount in order to
mestny [16]

The amount by which the length and width of a shed can be increased to

more than double the area, depends on the initial dimensions.

  • The amount that can be added to both the length and the width to increase the floor area by more than double the original area is more than <u>3 meters</u>.

Reasons:

The given parameters of the shed are;

The length of the shed = 12 m

Width of the shed = 5 m

The amount by which the length and the width are increased = The same amount

The new area after the increase in the length and width of the shed = More than double the initial area

Required:

The amount of increase in the length.

Solution:

Let the amount by which the length and width are increased = x

We have;

Initial area of the shed = 12 m × 5 m = 60 m²

The new area = (12 + x) × (5 + x) > 2 × 60

By multiplication, we get;

(12 + x) × (5 + x) = x² + 17·x + 60 > 2 × 60 = 120

x² + 17·x + 60 - 120 > 120 - 120 = 0

x² + 17·x - 60 > 0

By factorization, we get;

(x + 20)·(x - 3) > 0

x > -20, or x > 3

The increase (positive) amount of the solution is x > 3

Therefore, <u>the amount by which both the length and the width can be increased to more than double the area is x > 3 meters</u>

Learn more about the area of a rectangle here:

brainly.com/question/16410706

7 0
2 years ago
a 44 miles walk has 3 checkpoints. the first one is 13 1/8 miles from the starting point . the 2nd is 20 1/4 miles from the firs
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
What is the LCM of 95 and 14
kicyunya [14]

Answer:

LCM of 95 and 14 is 1330

Step-by-step explanation:

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2 years ago
Solve the following system using the substitution method.
Liono4ka [1.6K]
X = (15 - 8y)/9

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y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

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3 years ago
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
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Answer:

Step-by-step explanation:

C

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