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2 years ago

8 times the difference between a number and 6 is equal to 4 times the number...

Mathematics

2 answers:

astraxan [27]2 years ago

6 0

Answer:

(A) 12

Step-by-step explanation:

First, lets define the number as x.

"8 times the difference between a number and 6 is equal to 4 times the number" is translated into "8(x - 6) = 4x"

8(x - 6) = 4x

8x - 48 = 4x

4x = 48

x = 12

goldenfox [79]2 years ago

4 0

Answer:

The correct answer is option A. 12

Step-by-step explanation:

It is given that,8 times the difference between a number and 6 is equal to 4 times the number.

<u>To find the number</u>

Let x be the number, then we can write,

8 * (x - 6) = 4x

8x - 48 = 4x

8x - 4x = 48

4x = 48

x = 48/4 = 12

Therefore the correct answer is option A. 12

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Please help with p and q<br> maths geometry

baherus [9]

Step-by-step explanation:

in a very similar way, as the sum of all 4 angles in a triangle is always 180°, so is the sum of all angles in a quadrilateral (a polygon with 4 sides) 360°.

just look at rectangles at special representatives of such quadrilaterals.

now that we know this, we can simply say, the sum of all angles in our shape must be 360° :

(8x + 2) + (4x + 2) + (x - 2) + (5x -2) =

= 18x = 360

x = 20

A = 8×20 + 2 = 162°

B = 4×20 + 2 = 82°

C = 5×20 - 2 = 98°

D = 20 - 2 = 18°

a trapezium has the following properties (in the UK):

like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°.

a trapezium has two parallel sides and two non-parallel sides.

the diagonals of a regular trapezium bisect each other.

in the USA for example the request for 2 parallel sides does not exist.

we have proven the point with the angle sum.

the other 2 are given by the diagram.

so, yes, it is a trapezium.

the sum of all interior angles of a polygon is

(n - 2) × 180°

n being the number of d sides.

we have here a regular pentagon (5 equal sides).

the size of the angle at any vertex is then

(5 - 2) × 180 / 5 = 3 × 180 / 5 = 3×36 = 108°.

so, theta = 108°.

alpha + beta = 108°

ABE is an isoceles triangle.

so, beta = angle 1

beta + angle 1 + theta = 180

2×beta + 108 = 180

2×beta = 72

beta = 36°

therefore,

alpha = 108 - beta = 108 - 36 = 72°

4 0

1 year ago

A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner

bekas [8.4K]

Answer:

6/25

Step-by-step explanation:

6/10 chance for grey.

4/10 chance for blue.

And = Multiplication

Or = Addition

6/10 times 4/10 = 24/100

24% chance or 6/25 chance it will land on grey and blue.

(Theoretical Probability)

7 0

3 years ago

What is the significance of the mean of a probability distribution?

VikaD [51]

Answer:

Significance of the mean of a probability distribution.

Step-by-step explanation:

The mean of a probability distribution is the arithmetic average value of a random variable having that distribution.

For a discrete probability distribution, the mean is given by, $\sum x_iP(x_i)$ , where P(x) is the probabiliy mass function.
For a continuous probability distribution, the mean s given by, $E(x) = \int x_if(x_i)$ , where f(x) is the probability density function.
Mean is a measure of central location of a random variable.
It is the weighted average of the values that X can take, with weights given by the probability density function.
The mean is known as expected value or expectation of X.
An important consequence of this is that the mean of any symmetric random variable (continuous or discrete) is always on the axis of symmetry of the distribution.
For a continuous random variable, the mean is always on the axis of symmetry of the probability density function.