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algol [13]
3 years ago
13

Study the following frequency distribution table.

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

Option C is correct.

f = 2

Step-by-step explanation:

The mean is the sum of variables divided by the number of variables

Mean = (Σfx)/(Σf)

xi | 15 | 17 | 20 | 30 | 10 + f

fi | 4 | 4 | 6 | 5 | 6

Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)

Σf = 4 + 4 + 6 + 5 + 6 = 25

Mean = 18.8

18.8 = (458+6f) ÷ 25

458 + 6f = 25 × 18.8 = 470

6f = 470 - 458 = 12

f = (12/6) = 2

Hope this Helps!!!

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GrogVix [38]

Answer:

  • See below

Step-by-step explanation:

This equation is solved if one of the following 2 conditions is met

1.

  • (x² + 1) / 10 is between 1 and 2

and

  • 10 / (x² + 1)  is between 0 and 1

<u>Solve this:</u>

  • 1 < (x² + 1) / 10 < 2
  • 10 < x² + 1 < 20
  • 9 < x² < 19
  • 3 < |x| < √19
  • x ∈ (- √19, - 3) ∪ (3, √19)
  • 0 < 10 / (x² + 1) < 1
  • x² + 1 > 10
  • x² > 9
  • |x| > 3

Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)

2.

  • (x² + 1) / 10 is between 0 and 1

and

  • 10 / (x² + 1)  is between 1 and 2

<u>Solve this:</u>

  • 0 < (x² + 1) / 10 < 1
  • 0 < x² + 1 < 10
  • - 1 < x² < 9
  • 0 ≤ |x| < 3
  • x ∈ ( - 3, 3)
  • 1 < 10 / (x² + 1) < 2
  • x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
  • x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5

Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)

8 0
3 years ago
The perimeter of a rectangular garden is 292 feet. If the width of the garden is 67 feet, what is its length?
olga2289 [7]
79 is the length because
292-2(67)= 158
158/2 = 79
7 0
3 years ago
Read 2 more answers
Henry knows that the circumference of a circle is 18mc006-1.jpg inches. What is the area of the circle?
lesantik [10]
The complete question is:
Henry knows that the circumference of a circle is 18π inches. What is the area of the circle?

Solution:
Circumference (C) of the circle can be written as:

C=2 \pi r \\ \\ 18 \pi =2 \pi r \\ \\ r=9

Using this value of radius, we can find the Area(A) of the circle.

A= \pi  r^{2}  \\  \\ &#10;A= \pi (9)^{2}  \\  \\ &#10;A=81 \pi

Therefore, area of the circle having a circumference of 18π inches will be 81π inches²
5 0
3 years ago
The coordinates of the vertices of trapezoid JKLM are J(2, −3) , K(6, −3) , L(4, −5) , and M(1, −5) . The coordinates of the ver
olga2289 [7]
This is your answer:
<span>Trapezoid JKLM is congruent to trapezoid J′K′L′M′ because you can map trapezoid JKLM to trapezoid J′K′L′M′ by reflecting it across the line y = x and then translating it 1 unit up, which is a sequence of rigid motions.</span>
4 0
3 years ago
Read 2 more answers
use the substitution method to solve the system of equations. Choose the correct ordered pair. y=4x 8x+y=18
tino4ka555 [31]

Answer:

(3/2, 6)

Step-by-step explanation:

y = 4x

8x + y = 18

this says y is 4x so you can replace y with 4x

8x + 4x = 18

12x = 18

/12      /12

  x  = 3/2


now sub x into y = 4(3/2)

y = 12/2

y = 6

8 0
3 years ago
Read 2 more answers
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