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3 years ago

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

(x² + 1) / 10 is between 1 and 2

and

10 / (x² + 1) is between 0 and 1

Solve this:

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)

(x² + 1) / 10 is between 0 and 1

and

10 / (x² + 1) is between 1 and 2

Solve this:

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

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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.

$A= \pi r^{2} \\ \\ 
A= \pi (9)^{2} \\ \\ 
A=81 \pi$

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:
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.

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3 years ago

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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

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3 years ago

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