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musickatia [10]
1 year ago
12

The frequency distribution is incorrectly constructed state the reason why

Mathematics
1 answer:
Vikki [24]1 year ago
8 0

Answer:

A class has been omitted.

Explanation:

Given the frequency distribution shown in the attached table.

the frequency distribution is incorrectly constructed because a class has been omitted.

On the given table the class 133-137 is missing on the frequency distribution table.

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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0
3 years ago
Describe the error in the work shown.
mihalych1998 [28]

The error was in second step.

3√(y^3)^4 = y^4

(Cube root cancels cube and not power 4)

The answer should be:

xy^4/4

//Hope it helps.

4 0
3 years ago
Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
VMariaS [17]

ANSWER

(3x  - 2)(x + 4)

EXPLANATION

The given quadratic trinomial is

3 {x}^{2}  + 10x - 8

Comparing to the general quadratic trinomial:

a{x}^{2}  + bx  + c

We have a=1, b=10 and c=-8

ac =  3  \times  - 8 = - 24

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

3 {x}^{2}   + 12x   - 2x- 8

Factor;

3x(x+ 4)  -  2(x + 4)

Factor further;

(3x  - 2)(x + 4)

The last option is correct.

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3 years ago
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8 0
3 years ago
The product of two consecutive positive integers is 56. Find the two integers
vredina [299]

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

7 0
3 years ago
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